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data-dom-id="Pill-react-component-04935cc4-7d1b-46a1-9cbe-e1d612cf9690"></div> <div id="Pill-react-component-04935cc4-7d1b-46a1-9cbe-e1d612cf9690"></div> </a></div></div></div></div><div class="right-panel-container"><div class="user-content-wrapper"><div class="uploads-container" id="social-redesign-work-container"><div class="upload-header"><h2 class="ds2-5-heading-sans-serif-xs">Uploads</h2></div><div class="documents-container backbone-social-profile-documents" style="width: 100%;"><div class="u-taCenter"></div><div class="profile--tab_content_container js-tab-pane tab-pane active" id="all"><div class="profile--tab_heading_container js-section-heading" data-section="Papers" id="Papers"><h3 class="profile--tab_heading_container">Papers by Eva Casoni</h3></div><div class="js-work-strip profile--work_container" data-work-id="97323746"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/97323746/Modeling_the_damped_dynamic_behavior_of_a_flexible_pendulum"><img alt="Research paper thumbnail of Modeling the damped dynamic behavior of a flexible pendulum" class="work-thumbnail" src="https://attachments.academia-assets.com/98976289/thumbnails/1.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/97323746/Modeling_the_damped_dynamic_behavior_of_a_flexible_pendulum">Modeling the damped dynamic behavior of a flexible pendulum</a></div><div class="wp-workCard_item"><span>The Journal of Strain Analysis for Engineering Design</span><span>, 2019</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">The focus of this work is on the computational modeling of a pendulum made of a hyperelastic mate...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">The focus of this work is on the computational modeling of a pendulum made of a hyperelastic material and the corresponding experimental validation with the aim of contributing to the study of a material commonly used in seismic absorber devices. From the proposed dynamics experiment, the motion of the pendulum is recorded using a high-speed camera. The evolution of the pendulum’s positions is recovered using a capturing motion technique by tracking markers. The simulation of the problem is developed in the framework of a parallel multi-physics code. Particular emphasis is placed on the analysis of the Newmark integration scheme and the use of Rayleigh damping model. In particular, the time step size effect is analyzed. A strong time step size dependency is obtained for dissipative time integration schemes, while the Rayleigh damping formulation without time integration dissipation shows time step–independent results when convergence is achieved.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="41db70287e2460f68f27807f92b016f9" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":98976289,"asset_id":97323746,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/98976289/download_file?s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="97323746"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="97323746"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 97323746; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=97323746]").text(description); $(".js-view-count[data-work-id=97323746]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 97323746; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='97323746']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-a9bf3a2bc8c89fa2a77156577594264ee8a0f214d74241bc0fcd3f69f8d107ac.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (true){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "41db70287e2460f68f27807f92b016f9" } } $('.js-work-strip[data-work-id=97323746]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":97323746,"title":"Modeling the damped dynamic behavior of a flexible pendulum","translated_title":"","metadata":{"abstract":"The focus of this work is on the computational modeling of a pendulum made of a hyperelastic material and the corresponding experimental validation with the aim of contributing to the study of a material commonly used in seismic absorber devices. 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A strong time step size dependency is obtained for dissipative time integration schemes, while the Rayleigh damping formulation without time integration dissipation shows time step–independent results when convergence is achieved.","publisher":"SAGE Publications","ai_title_tag":"Flexible Pendulum Dynamics: Modeling and Validation","publication_date":{"day":null,"month":null,"year":2019,"errors":{}},"publication_name":"The Journal of Strain Analysis for Engineering Design"},"translated_abstract":"The focus of this work is on the computational modeling of a pendulum made of a hyperelastic material and the corresponding experimental validation with the aim of contributing to the study of a material commonly used in seismic absorber devices. From the proposed dynamics experiment, the motion of the pendulum is recorded using a high-speed camera. The evolution of the pendulum’s positions is recovered using a capturing motion technique by tracking markers. 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A strong time step size dependency is obtained for dissipative time integration schemes, while the Rayleigh damping formulation without time integration dissipation shows time step–independent results when convergence is achieved.","internal_url":"https://www.academia.edu/97323746/Modeling_the_damped_dynamic_behavior_of_a_flexible_pendulum","translated_internal_url":"","created_at":"2023-02-22T00:04:16.678-08:00","preview_url":null,"current_user_can_edit":null,"current_user_is_owner":null,"owner_id":14723476,"coauthors_can_edit":true,"document_type":"paper","co_author_tags":[],"downloadable_attachments":[{"id":98976289,"title":"","file_type":"pdf","scribd_thumbnail_url":"https://attachments.academia-assets.com/98976289/thumbnails/1.jpg","file_name":"030932471983273520230222-1-1l6rqsx.pdf","download_url":"https://www.academia.edu/attachments/98976289/download_file","bulk_download_file_name":"Modeling_the_damped_dynamic_behavior_of.pdf","bulk_download_url":"https://d1wqtxts1xzle7.cloudfront.net/98976289/030932471983273520230222-1-1l6rqsx-libre.pdf?1677053151=\u0026response-content-disposition=attachment%3B+filename%3DModeling_the_damped_dynamic_behavior_of.pdf\u0026Expires=1744022476\u0026Signature=asPGr0B-CqRwvPnbMcZU75oAW5l~d9OVYgpCdKn6X4MpsyRKdQ6GeZcg107L1BuHtgiuzwXuwxGi12PisYN14yR4aW-AMEuG2EGymitHeXbWykGTiDz9v2IZSOi6nPvKj2H8YRwRDJ6ULUwKKv5dpIVBIBgdWMPRafQNgesb5tPShPc4tmBazBIG0~BevSYGHj5zjzBXB4ZMBllJgcvZbDYHu7i4nCuimTfh2ef4ofp0ZxP85ZjeYhusef-HnuwCtfXnq4v3LFHb4cd4YY7uroz1QCWPiR6mvi-vYmPu1KkXVwxZKb0ABDcxE-2R3G9rWY-oD-sXzve-7r7p3WuYeA__\u0026Key-Pair-Id=APKAJLOHF5GGSLRBV4ZA"}],"slug":"Modeling_the_damped_dynamic_behavior_of_a_flexible_pendulum","translated_slug":"","page_count":14,"language":"en","content_type":"Work","summary":"The focus of this work is on the computational modeling of a pendulum made of a hyperelastic material and the corresponding experimental validation with the aim of contributing to the study of a material commonly used in seismic absorber devices. From the proposed dynamics experiment, the motion of the pendulum is recorded using a high-speed camera. The evolution of the pendulum’s positions is recovered using a capturing motion technique by tracking markers. The simulation of the problem is developed in the framework of a parallel multi-physics code. Particular emphasis is placed on the analysis of the Newmark integration scheme and the use of Rayleigh damping model. In particular, the time step size effect is analyzed. A strong time step size dependency is obtained for dissipative time integration schemes, while the Rayleigh damping formulation without time integration dissipation shows time step–independent results when convergence is achieved.","impression_tracking_id":null,"owner":{"id":14723476,"first_name":"Eva","middle_initials":null,"last_name":"Casoni","page_name":"EvaCasoni","domain_name":"upc","created_at":"2014-08-05T01:49:49.417-07:00","display_name":"Eva Casoni","url":"https://upc.academia.edu/EvaCasoni"},"attachments":[{"id":98976289,"title":"","file_type":"pdf","scribd_thumbnail_url":"https://attachments.academia-assets.com/98976289/thumbnails/1.jpg","file_name":"030932471983273520230222-1-1l6rqsx.pdf","download_url":"https://www.academia.edu/attachments/98976289/download_file","bulk_download_file_name":"Modeling_the_damped_dynamic_behavior_of.pdf","bulk_download_url":"https://d1wqtxts1xzle7.cloudfront.net/98976289/030932471983273520230222-1-1l6rqsx-libre.pdf?1677053151=\u0026response-content-disposition=attachment%3B+filename%3DModeling_the_damped_dynamic_behavior_of.pdf\u0026Expires=1744022476\u0026Signature=asPGr0B-CqRwvPnbMcZU75oAW5l~d9OVYgpCdKn6X4MpsyRKdQ6GeZcg107L1BuHtgiuzwXuwxGi12PisYN14yR4aW-AMEuG2EGymitHeXbWykGTiDz9v2IZSOi6nPvKj2H8YRwRDJ6ULUwKKv5dpIVBIBgdWMPRafQNgesb5tPShPc4tmBazBIG0~BevSYGHj5zjzBXB4ZMBllJgcvZbDYHu7i4nCuimTfh2ef4ofp0ZxP85ZjeYhusef-HnuwCtfXnq4v3LFHb4cd4YY7uroz1QCWPiR6mvi-vYmPu1KkXVwxZKb0ABDcxE-2R3G9rWY-oD-sXzve-7r7p3WuYeA__\u0026Key-Pair-Id=APKAJLOHF5GGSLRBV4ZA"}],"research_interests":[{"id":60,"name":"Mechanical Engineering","url":"https://www.academia.edu/Documents/in/Mechanical_Engineering"},{"id":498,"name":"Physics","url":"https://www.academia.edu/Documents/in/Physics"},{"id":202360,"name":"Pendulum","url":"https://www.academia.edu/Documents/in/Pendulum"},{"id":222949,"name":"Dissipation","url":"https://www.academia.edu/Documents/in/Dissipation"},{"id":245193,"name":"Numerical Integration","url":"https://www.academia.edu/Documents/in/Numerical_Integration"}],"urls":[{"id":29186920,"url":"http://journals.sagepub.com/doi/pdf/10.1177/0309324719832735"}]}, dispatcherData: dispatcherData }); $(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") if (false) { Aedu.setUpFigureCarousel('profile-work-97323746-figures'); } }); </script> <div class="js-work-strip profile--work_container" data-work-id="97323744"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" rel="nofollow" href="https://www.academia.edu/97323744/A_phase_field_approach_to_simulate_intralaminar_and_translaminar_fracture_in_long_fiber_composite_materials"><img alt="Research paper thumbnail of A phase field approach to simulate intralaminar and translaminar fracture in long fiber composite materials" class="work-thumbnail" src="https://a.academia-assets.com/images/blank-paper.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title">A phase field approach to simulate intralaminar and translaminar fracture in long fiber composite materials</div><div class="wp-workCard_item"><span>Composite Structures</span><span>, 2019</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">Abstract The development of predictive numerical methods, which accurately represent the progress...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">Abstract The development of predictive numerical methods, which accurately represent the progressive failure of long fiber composite materials, is nowadays required for the achievement of optimized mechanical responses in terms of load bearing capacities of modern composite structures. In this investigation, two characteristic failure mechanisms of long fiber composites, denominated as intralaminar and translaminar fracture, are simulated by means of a novel version of the phase field (PF) approach of fracture. This numerical strategy encompasses a sort of gradient-enhanced damage formulation rooted in the Griffith theory of fracture, which is herewith extended for its use in composite laminates applications. In order to assess its verification and validation, the predictions obtained using the present formulation are compared against experimental results and two well-established alternative computational methods, which correspond to an anisotropic local-based continuum damage model and a cohesive zone model. The comparisons demonstrate that the PF approach with the proposed formulation provides reliable and robust predictions under quasi-static loading, but with a higher versatility regarding the potential of triggering arbitrarily complex crack paths with intricate topology over alternative techniques.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="97323744"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="97323744"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 97323744; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=97323744]").text(description); $(".js-view-count[data-work-id=97323744]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 97323744; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='97323744']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-a9bf3a2bc8c89fa2a77156577594264ee8a0f214d74241bc0fcd3f69f8d107ac.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (false){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "-1" } } $('.js-work-strip[data-work-id=97323744]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":97323744,"title":"A phase field approach to simulate intralaminar and translaminar fracture in long fiber composite materials","translated_title":"","metadata":{"abstract":"Abstract The development of predictive numerical methods, which accurately represent the progressive failure of long fiber composite materials, is nowadays required for the achievement of optimized mechanical responses in terms of load bearing capacities of modern composite structures. In this investigation, two characteristic failure mechanisms of long fiber composites, denominated as intralaminar and translaminar fracture, are simulated by means of a novel version of the phase field (PF) approach of fracture. This numerical strategy encompasses a sort of gradient-enhanced damage formulation rooted in the Griffith theory of fracture, which is herewith extended for its use in composite laminates applications. In order to assess its verification and validation, the predictions obtained using the present formulation are compared against experimental results and two well-established alternative computational methods, which correspond to an anisotropic local-based continuum damage model and a cohesive zone model. The comparisons demonstrate that the PF approach with the proposed formulation provides reliable and robust predictions under quasi-static loading, but with a higher versatility regarding the potential of triggering arbitrarily complex crack paths with intricate topology over alternative techniques.","publisher":"Elsevier BV","publication_date":{"day":null,"month":null,"year":2019,"errors":{}},"publication_name":"Composite Structures"},"translated_abstract":"Abstract The development of predictive numerical methods, which accurately represent the progressive failure of long fiber composite materials, is nowadays required for the achievement of optimized mechanical responses in terms of load bearing capacities of modern composite structures. In this investigation, two characteristic failure mechanisms of long fiber composites, denominated as intralaminar and translaminar fracture, are simulated by means of a novel version of the phase field (PF) approach of fracture. This numerical strategy encompasses a sort of gradient-enhanced damage formulation rooted in the Griffith theory of fracture, which is herewith extended for its use in composite laminates applications. In order to assess its verification and validation, the predictions obtained using the present formulation are compared against experimental results and two well-established alternative computational methods, which correspond to an anisotropic local-based continuum damage model and a cohesive zone model. The comparisons demonstrate that the PF approach with the proposed formulation provides reliable and robust predictions under quasi-static loading, but with a higher versatility regarding the potential of triggering arbitrarily complex crack paths with intricate topology over alternative techniques.","internal_url":"https://www.academia.edu/97323744/A_phase_field_approach_to_simulate_intralaminar_and_translaminar_fracture_in_long_fiber_composite_materials","translated_internal_url":"","created_at":"2023-02-22T00:04:16.343-08:00","preview_url":null,"current_user_can_edit":null,"current_user_is_owner":null,"owner_id":14723476,"coauthors_can_edit":true,"document_type":"paper","co_author_tags":[],"downloadable_attachments":[],"slug":"A_phase_field_approach_to_simulate_intralaminar_and_translaminar_fracture_in_long_fiber_composite_materials","translated_slug":"","page_count":null,"language":"en","content_type":"Work","summary":"Abstract The development of predictive numerical methods, which accurately represent the progressive failure of long fiber composite materials, is nowadays required for the achievement of optimized mechanical responses in terms of load bearing capacities of modern composite structures. In this investigation, two characteristic failure mechanisms of long fiber composites, denominated as intralaminar and translaminar fracture, are simulated by means of a novel version of the phase field (PF) approach of fracture. This numerical strategy encompasses a sort of gradient-enhanced damage formulation rooted in the Griffith theory of fracture, which is herewith extended for its use in composite laminates applications. In order to assess its verification and validation, the predictions obtained using the present formulation are compared against experimental results and two well-established alternative computational methods, which correspond to an anisotropic local-based continuum damage model and a cohesive zone model. The comparisons demonstrate that the PF approach with the proposed formulation provides reliable and robust predictions under quasi-static loading, but with a higher versatility regarding the potential of triggering arbitrarily complex crack paths with intricate topology over alternative techniques.","impression_tracking_id":null,"owner":{"id":14723476,"first_name":"Eva","middle_initials":null,"last_name":"Casoni","page_name":"EvaCasoni","domain_name":"upc","created_at":"2014-08-05T01:49:49.417-07:00","display_name":"Eva Casoni","url":"https://upc.academia.edu/EvaCasoni"},"attachments":[],"research_interests":[{"id":48,"name":"Engineering","url":"https://www.academia.edu/Documents/in/Engineering"},{"id":511,"name":"Materials Science","url":"https://www.academia.edu/Documents/in/Materials_Science"},{"id":51372,"name":"Fiber","url":"https://www.academia.edu/Documents/in/Fiber"},{"id":169323,"name":"Composite Material","url":"https://www.academia.edu/Documents/in/Composite_Material"},{"id":195378,"name":"Composite structures","url":"https://www.academia.edu/Documents/in/Composite_structures"}],"urls":[{"id":29186918,"url":"https://api.elsevier.com/content/article/PII:S0263822318339928?httpAccept=text/xml"}]}, dispatcherData: dispatcherData }); $(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") if (false) { Aedu.setUpFigureCarousel('profile-work-97323744-figures'); } }); </script> <div class="js-work-strip profile--work_container" data-work-id="97323741"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" rel="nofollow" href="https://www.academia.edu/97323741/Enabling_a_Computational_Mechanics_Code_for_Massively_Parallel_Supercomputers"><img alt="Research paper thumbnail of Enabling a Computational Mechanics Code for Massively Parallel Supercomputers" class="work-thumbnail" src="https://a.academia-assets.com/images/blank-paper.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title">Enabling a Computational Mechanics Code for Massively Parallel Supercomputers</div><div class="wp-workCard_item"><span>Proceedings of the Third International Conference on Parallel, Distributed, Grid and Cloud Computing for Engineering</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">ABSTRACT This paper introduces an hybrid parallel model of the solid mechanics simulation strateg...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">ABSTRACT This paper introduces an hybrid parallel model of the solid mechanics simulation strategy of Alya-High Performance Computational Mechanics, a multi-physics code for supercomputing platforms, developed at Barcelona Supercomputing Center. The goal of the paper is the parallelization strategy, which is chosen as a hybrid MPI/OpenMP model in order to take advantage of all the levels of parallelism that a multicore architecture offers. The paper describes the main features: numerical implementation, algorithms, solution schemes, parallel issues and code engineering. Space and time discretization are based on the finite element method and on finite differences respectively. The solution scheme presented is a total Lagrangian formulation for large deformations, with Newton schemes to cope with non-linearities. Time integration is done either explicitly or implicitly. To exploit the thread-level parallelism of multicore architectures, OpenMP parallelization is introduced in the most time-consuming routines of the solid mechanics, mainly the element assembly and the iterative solver. Additionally, as the communications between threads are via shared memory, there would be a reduction of the communication cost between processors. The main ideas implemented behind the parallel I/O aspects are detailed. Preliminary scalability results are presented for a three-dimensional beam test that requires large data structures. The results obtained are encouraging, outperforming the current MPI-based Alya implementation.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="97323741"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="97323741"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 97323741; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=97323741]").text(description); $(".js-view-count[data-work-id=97323741]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 97323741; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='97323741']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-a9bf3a2bc8c89fa2a77156577594264ee8a0f214d74241bc0fcd3f69f8d107ac.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (false){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "-1" } } $('.js-work-strip[data-work-id=97323741]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":97323741,"title":"Enabling a Computational Mechanics Code for Massively Parallel Supercomputers","translated_title":"","metadata":{"abstract":"ABSTRACT This paper introduces an hybrid parallel model of the solid mechanics simulation strategy of Alya-High Performance Computational Mechanics, a multi-physics code for supercomputing platforms, developed at Barcelona Supercomputing Center. The goal of the paper is the parallelization strategy, which is chosen as a hybrid MPI/OpenMP model in order to take advantage of all the levels of parallelism that a multicore architecture offers. The paper describes the main features: numerical implementation, algorithms, solution schemes, parallel issues and code engineering. Space and time discretization are based on the finite element method and on finite differences respectively. The solution scheme presented is a total Lagrangian formulation for large deformations, with Newton schemes to cope with non-linearities. Time integration is done either explicitly or implicitly. To exploit the thread-level parallelism of multicore architectures, OpenMP parallelization is introduced in the most time-consuming routines of the solid mechanics, mainly the element assembly and the iterative solver. Additionally, as the communications between threads are via shared memory, there would be a reduction of the communication cost between processors. The main ideas implemented behind the parallel I/O aspects are detailed. Preliminary scalability results are presented for a three-dimensional beam test that requires large data structures. The results obtained are encouraging, outperforming the current MPI-based Alya implementation.","publication_name":"Proceedings of the Third International Conference on Parallel, Distributed, Grid and Cloud Computing for Engineering"},"translated_abstract":"ABSTRACT This paper introduces an hybrid parallel model of the solid mechanics simulation strategy of Alya-High Performance Computational Mechanics, a multi-physics code for supercomputing platforms, developed at Barcelona Supercomputing Center. The goal of the paper is the parallelization strategy, which is chosen as a hybrid MPI/OpenMP model in order to take advantage of all the levels of parallelism that a multicore architecture offers. The paper describes the main features: numerical implementation, algorithms, solution schemes, parallel issues and code engineering. Space and time discretization are based on the finite element method and on finite differences respectively. The solution scheme presented is a total Lagrangian formulation for large deformations, with Newton schemes to cope with non-linearities. Time integration is done either explicitly or implicitly. To exploit the thread-level parallelism of multicore architectures, OpenMP parallelization is introduced in the most time-consuming routines of the solid mechanics, mainly the element assembly and the iterative solver. Additionally, as the communications between threads are via shared memory, there would be a reduction of the communication cost between processors. The main ideas implemented behind the parallel I/O aspects are detailed. Preliminary scalability results are presented for a three-dimensional beam test that requires large data structures. The results obtained are encouraging, outperforming the current MPI-based Alya implementation.","internal_url":"https://www.academia.edu/97323741/Enabling_a_Computational_Mechanics_Code_for_Massively_Parallel_Supercomputers","translated_internal_url":"","created_at":"2023-02-22T00:04:15.924-08:00","preview_url":null,"current_user_can_edit":null,"current_user_is_owner":null,"owner_id":14723476,"coauthors_can_edit":true,"document_type":"paper","co_author_tags":[],"downloadable_attachments":[],"slug":"Enabling_a_Computational_Mechanics_Code_for_Massively_Parallel_Supercomputers","translated_slug":"","page_count":null,"language":"en","content_type":"Work","summary":"ABSTRACT This paper introduces an hybrid parallel model of the solid mechanics simulation strategy of Alya-High Performance Computational Mechanics, a multi-physics code for supercomputing platforms, developed at Barcelona Supercomputing Center. The goal of the paper is the parallelization strategy, which is chosen as a hybrid MPI/OpenMP model in order to take advantage of all the levels of parallelism that a multicore architecture offers. The paper describes the main features: numerical implementation, algorithms, solution schemes, parallel issues and code engineering. Space and time discretization are based on the finite element method and on finite differences respectively. The solution scheme presented is a total Lagrangian formulation for large deformations, with Newton schemes to cope with non-linearities. Time integration is done either explicitly or implicitly. To exploit the thread-level parallelism of multicore architectures, OpenMP parallelization is introduced in the most time-consuming routines of the solid mechanics, mainly the element assembly and the iterative solver. Additionally, as the communications between threads are via shared memory, there would be a reduction of the communication cost between processors. The main ideas implemented behind the parallel I/O aspects are detailed. Preliminary scalability results are presented for a three-dimensional beam test that requires large data structures. The results obtained are encouraging, outperforming the current MPI-based Alya implementation.","impression_tracking_id":null,"owner":{"id":14723476,"first_name":"Eva","middle_initials":null,"last_name":"Casoni","page_name":"EvaCasoni","domain_name":"upc","created_at":"2014-08-05T01:49:49.417-07:00","display_name":"Eva Casoni","url":"https://upc.academia.edu/EvaCasoni"},"attachments":[],"research_interests":[{"id":422,"name":"Computer Science","url":"https://www.academia.edu/Documents/in/Computer_Science"},{"id":442,"name":"Parallel Computing","url":"https://www.academia.edu/Documents/in/Parallel_Computing"},{"id":11819,"name":"Computational Science","url":"https://www.academia.edu/Documents/in/Computational_Science"}],"urls":[]}, dispatcherData: dispatcherData }); $(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") if (false) { Aedu.setUpFigureCarousel('profile-work-97323741-figures'); } }); </script> <div class="js-work-strip profile--work_container" data-work-id="97323740"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/97323740/Alya_Computational_Solid_Mechanics_for_Supercomputers"><img alt="Research paper thumbnail of Alya: Computational Solid Mechanics for Supercomputers" class="work-thumbnail" src="https://attachments.academia-assets.com/98976285/thumbnails/1.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/97323740/Alya_Computational_Solid_Mechanics_for_Supercomputers">Alya: Computational Solid Mechanics for Supercomputers</a></div><div class="wp-workCard_item"><span>Archives of Computational Methods in Engineering</span><span>, 2014</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">While solid mechanics codes are now conventional tools both in industry and research, the increas...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">While solid mechanics codes are now conventional tools both in industry and research, the increasingly more exigent requirements of both sectors are fuelling the need for more computational power and more advanced algorithms. For obvious reasons, commercial codes are lagging behind academic codes often dedicated either to the implementation of one new technique, or the upscaling of current conventional codes to tackle massively large scale computational problems. Only in a few cases, both approaches have been followed simultaneously. In this article, a solid mechanics simulation strategy for parallel supercomputers based on a hybrid approach is presented. Hybrid parallelization exploits the thread-level parallelism of multicore architectures, com</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="b736021be8cbb8d8f0055b29eeb1b857" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":98976285,"asset_id":97323740,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/98976285/download_file?s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="97323740"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="97323740"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 97323740; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=97323740]").text(description); $(".js-view-count[data-work-id=97323740]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 97323740; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='97323740']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-a9bf3a2bc8c89fa2a77156577594264ee8a0f214d74241bc0fcd3f69f8d107ac.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (true){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "b736021be8cbb8d8f0055b29eeb1b857" } } $('.js-work-strip[data-work-id=97323740]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":97323740,"title":"Alya: Computational Solid Mechanics for Supercomputers","translated_title":"","metadata":{"publisher":"Springer Science and Business Media LLC","ai_title_tag":"Hybrid Parallelism in Solid Mechanics Simulations","grobid_abstract":"While solid mechanics codes are now conventional tools both in industry and research, the increasingly more exigent requirements of both sectors are fuelling the need for more computational power and more advanced algorithms. 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More particularly, the development of both accurate and flexible numerical models able to capture their intrinsically multiscale modes of failure is still a challenge. The standard finite element method typically requires intensive remeshing to adequately capture the geometry of the cracks and high accuracy is thus often sacrificed in favor of scalability, and vice versa. In an effort to preserve both properties, we present here an extended finite element method (XFEM) for large scale composite fracture simulations. In this formulation, the standard FEM formulation is partially enriched by use of shifted Heaviside functions with special attention paid to the scalability of the scheme. This enrichment technique offers several benefits, since the interpolation property of the standard shape function still holds at the nodes. Those benefits include (i) no extra boundary condition for the enrichment degree of freedom, and (ii) no need for transition/blending regions; both of which contribute to maintain the scalability of the code. Two different cohesive zone models (CZM) are then adopted to capture the physics of the crack propagation mechanisms. At the intralaminar level, an extrinsic CZM embedded in the XFEM formulation is used. At the interlaminar level, an intrinsic CZM is adopted for predicting the failure. The overall framework is implemented in ALYA, a mechanics code specifically developed for large scale, massively parallel simulations of coupled multi-physics problems. The implementation of both intrinsic and extrinsic CZM models within the code is such that it conserves the extremely efficient scalability of ALYA while providing accurate physical simulations of computationally expensive phenomena. The strong scalability provided by the proposed implementation is demonstrated. The model is ultimately validated against a full experimental campaign of loading tests and X-ray tomography analyses for a chosen very large scale.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="c20cb638d3231c4961e0d177d2c5ec25" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":98976291,"asset_id":97323739,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/98976291/download_file?s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="97323739"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="97323739"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 97323739; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=97323739]").text(description); $(".js-view-count[data-work-id=97323739]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 97323739; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='97323739']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-a9bf3a2bc8c89fa2a77156577594264ee8a0f214d74241bc0fcd3f69f8d107ac.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (true){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "c20cb638d3231c4961e0d177d2c5ec25" } } $('.js-work-strip[data-work-id=97323739]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":97323739,"title":"An XFEM/CZM implementation for massively parallel simulations of composites fracture","translated_title":"","metadata":{"publisher":"Elsevier BV","ai_title_tag":"Parallel XFEM/CZM for Composite Fracture Simulations","grobid_abstract":"Because of their widely spread use in many industries, composites are the subject of many research campaigns. More particularly, the development of both accurate and flexible numerical models able to capture their intrinsically multiscale modes of failure is still a challenge. The standard finite element method typically requires intensive remeshing to adequately capture the geometry of the cracks and high accuracy is thus often sacrificed in favor of scalability, and vice versa. In an effort to preserve both properties, we present here an extended finite element method (XFEM) for large scale composite fracture simulations. In this formulation, the standard FEM formulation is partially enriched by use of shifted Heaviside functions with special attention paid to the scalability of the scheme. This enrichment technique offers several benefits, since the interpolation property of the standard shape function still holds at the nodes. Those benefits include (i) no extra boundary condition for the enrichment degree of freedom, and (ii) no need for transition/blending regions; both of which contribute to maintain the scalability of the code. Two different cohesive zone models (CZM) are then adopted to capture the physics of the crack propagation mechanisms. At the intralaminar level, an extrinsic CZM embedded in the XFEM formulation is used. At the interlaminar level, an intrinsic CZM is adopted for predicting the failure. The overall framework is implemented in ALYA, a mechanics code specifically developed for large scale, massively parallel simulations of coupled multi-physics problems. The implementation of both intrinsic and extrinsic CZM models within the code is such that it conserves the extremely efficient scalability of ALYA while providing accurate physical simulations of computationally expensive phenomena. The strong scalability provided by the proposed implementation is demonstrated. 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More particularly, the development of both accurate and flexible numerical models able to capture their intrinsically multiscale modes of failure is still a challenge. The standard finite element method typically requires intensive remeshing to adequately capture the geometry of the cracks and high accuracy is thus often sacrificed in favor of scalability, and vice versa. In an effort to preserve both properties, we present here an extended finite element method (XFEM) for large scale composite fracture simulations. In this formulation, the standard FEM formulation is partially enriched by use of shifted Heaviside functions with special attention paid to the scalability of the scheme. This enrichment technique offers several benefits, since the interpolation property of the standard shape function still holds at the nodes. Those benefits include (i) no extra boundary condition for the enrichment degree of freedom, and (ii) no need for transition/blending regions; both of which contribute to maintain the scalability of the code. Two different cohesive zone models (CZM) are then adopted to capture the physics of the crack propagation mechanisms. At the intralaminar level, an extrinsic CZM embedded in the XFEM formulation is used. At the interlaminar level, an intrinsic CZM is adopted for predicting the failure. The overall framework is implemented in ALYA, a mechanics code specifically developed for large scale, massively parallel simulations of coupled multi-physics problems. The implementation of both intrinsic and extrinsic CZM models within the code is such that it conserves the extremely efficient scalability of ALYA while providing accurate physical simulations of computationally expensive phenomena. The strong scalability provided by the proposed implementation is demonstrated. The model is ultimately validated against a full experimental campaign of loading tests and X-ray tomography analyses for a chosen very large scale.","impression_tracking_id":null,"owner":{"id":14723476,"first_name":"Eva","middle_initials":null,"last_name":"Casoni","page_name":"EvaCasoni","domain_name":"upc","created_at":"2014-08-05T01:49:49.417-07:00","display_name":"Eva Casoni","url":"https://upc.academia.edu/EvaCasoni"},"attachments":[{"id":98976291,"title":"","file_type":"pdf","scribd_thumbnail_url":"https://attachments.academia-assets.com/98976291/thumbnails/1.jpg","file_name":"2015_COST_XFEM.pdf","download_url":"https://www.academia.edu/attachments/98976291/download_file","bulk_download_file_name":"An_XFEM_CZM_implementation_for_massively.pdf","bulk_download_url":"https://d1wqtxts1xzle7.cloudfront.net/98976291/2015_COST_XFEM-libre.pdf?1677053159=\u0026response-content-disposition=attachment%3B+filename%3DAn_XFEM_CZM_implementation_for_massively.pdf\u0026Expires=1744022477\u0026Signature=MSI-qC7x8E7zhzqfGTC1MRWV9s~j6C8-9vrXi3xHSLPSiIVWprMCD0EHp19T1QJaFo1Yh9BvKYpBoonp6gqCNgGBz2CzycQ3ud7GnQx~HgivnFEIqg0ezs7AeGuHDi~GXXa9fFwUcClE0lrBjo8HnwfBpxBGf9HvarchuSGlDYe-LK8tjXt-wTPUAkS50mUyaCdm9tu~UtYKBmEz7930Rb3TnnHhIhvvR4Dn6Q~iPdRnQuwVyUJ14lBlO1eTrrRYb4-UY7SwODXeZ1l3UhOXRuL-t3wxg894zD4SueBQ1Nsro0Birjn~isO83jBeU2qtUtZAPjB6IYSQlT8vQLYiow__\u0026Key-Pair-Id=APKAJLOHF5GGSLRBV4ZA"}],"research_interests":[{"id":48,"name":"Engineering","url":"https://www.academia.edu/Documents/in/Engineering"},{"id":498,"name":"Physics","url":"https://www.academia.edu/Documents/in/Physics"},{"id":511,"name":"Materials Science","url":"https://www.academia.edu/Documents/in/Materials_Science"},{"id":4496,"name":"Composites","url":"https://www.academia.edu/Documents/in/Composites"},{"id":24257,"name":"Failure","url":"https://www.academia.edu/Documents/in/Failure"},{"id":47947,"name":"Fracture and cohesive zone model","url":"https://www.academia.edu/Documents/in/Fracture_and_cohesive_zone_model"},{"id":169323,"name":"Composite Material","url":"https://www.academia.edu/Documents/in/Composite_Material"},{"id":195378,"name":"Composite structures","url":"https://www.academia.edu/Documents/in/Composite_structures"},{"id":897823,"name":"Elsevier","url":"https://www.academia.edu/Documents/in/Elsevier"}],"urls":[{"id":29186915,"url":"https://api.elsevier.com/content/article/PII:S0263822315001063?httpAccept=text/xml"}]}, dispatcherData: dispatcherData }); $(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") if (false) { Aedu.setUpFigureCarousel('profile-work-97323739-figures'); } }); </script> <div class="js-work-strip profile--work_container" data-work-id="97323264"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/97323264/SEVENTH_FRAMEWORK_PROGRAMME_Research_Infrastructures_INFRA_2011_2_3_5_Second_Implementation_Phase_of_the_European_High_Performance_Computing_HPC_service_PRACE_PRACE_2IP_PRACE_Second_Implementation_Phase_Project"><img alt="Research paper thumbnail of SEVENTH FRAMEWORK PROGRAMME Research Infrastructures INFRA-2011-2.3.5 – Second Implementation Phase of the European High Performance Computing (HPC) service PRACE PRACE-2IP PRACE Second Implementation Phase Project" class="work-thumbnail" src="https://attachments.academia-assets.com/98975898/thumbnails/1.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/97323264/SEVENTH_FRAMEWORK_PROGRAMME_Research_Infrastructures_INFRA_2011_2_3_5_Second_Implementation_Phase_of_the_European_High_Performance_Computing_HPC_service_PRACE_PRACE_2IP_PRACE_Second_Implementation_Phase_Project">SEVENTH FRAMEWORK PROGRAMME Research Infrastructures INFRA-2011-2.3.5 – Second Implementation Phase of the European High Performance Computing (HPC) service PRACE PRACE-2IP PRACE Second Implementation Phase Project</a></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">*-The dissemination level are indicated as follows: PU-Public, PP-Restricted to other participant...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">*-The dissemination level are indicated as follows: PU-Public, PP-Restricted to other participants (including the Commission Services), RE-Restricted to a group specified by the consortium (including the Commission Services). 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We present a method in the one-dimensional case based on the introduction of artificial viscosity into the original equations. With this approach the shock is capture with sharp resolution maintaining high-order accuracy. The ideas for the extension to the two-dimensional case are also set.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="493191a663e9cbeeb15b4764c85ef93b" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":34368353,"asset_id":7879873,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/34368353/download_file?s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="7879873"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="7879873"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 7879873; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=7879873]").text(description); $(".js-view-count[data-work-id=7879873]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 7879873; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='7879873']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-a9bf3a2bc8c89fa2a77156577594264ee8a0f214d74241bc0fcd3f69f8d107ac.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (true){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "493191a663e9cbeeb15b4764c85ef93b" } } $('.js-work-strip[data-work-id=7879873]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":7879873,"title":"SHOCK-CAPTURING WITH DISCONTINUOUS GALERKIN METHODS","translated_title":"","metadata":{"grobid_abstract":"A shock capturing strategy for high order Discontinuous Galerkin methods for conservation laws is proposed. 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The ideas for the extension to the two-dimensional case are also set.","grobid_abstract_attachment_id":34368353},"translated_abstract":null,"internal_url":"https://www.academia.edu/7879873/SHOCK_CAPTURING_WITH_DISCONTINUOUS_GALERKIN_METHODS","translated_internal_url":"","created_at":"2014-08-05T01:50:50.122-07:00","preview_url":null,"current_user_can_edit":null,"current_user_is_owner":null,"owner_id":14723476,"coauthors_can_edit":true,"document_type":"paper","co_author_tags":[],"downloadable_attachments":[{"id":34368353,"title":"","file_type":"pdf","scribd_thumbnail_url":"https://attachments.academia-assets.com/34368353/thumbnails/1.jpg","file_name":"acta13.pdf","download_url":"https://www.academia.edu/attachments/34368353/download_file","bulk_download_file_name":"SHOCK_CAPTURING_WITH_DISCONTINUOUS_GALER.pdf","bulk_download_url":"https://d1wqtxts1xzle7.cloudfront.net/34368353/acta13-libre.pdf?1407228699=\u0026response-content-disposition=attachment%3B+filename%3DSHOCK_CAPTURING_WITH_DISCONTINUOUS_GALER.pdf\u0026Expires=1744022477\u0026Signature=e3jAXiqaAQv~gwNQfASUsebErOXGCJmTidTsK4qEWCvXuHLLSMMctOPkgq~oCrqURozeZJWW5rJdJ81PyuSHk8DzKN3A2P38EEHEUdE16BdYBo1yYEGCLLFkGcpmdmDec6Vo~QzZoi6BlmwGe2bOTs1GB~MHi6Mnd1oQ4X4RfoTh9iNlPWMdMH0MCC-k5lLRdp5PR8cJnRLo7IANbP1OHrFVW8lto3ZmXsT~H0ZXnHX8j2FAOzsZnb5KDwEx4J2tIbFhnT~CMCvtNjpa9ySBKMZQxifdzFpDRSUWs6Z0MSrAl78lyPpDizpLgodxOstPfWIthN~3bB2XndtvHtwv2w__\u0026Key-Pair-Id=APKAJLOHF5GGSLRBV4ZA"}],"slug":"SHOCK_CAPTURING_WITH_DISCONTINUOUS_GALERKIN_METHODS","translated_slug":"","page_count":10,"language":"en","content_type":"Work","summary":"A shock capturing strategy for high order Discontinuous Galerkin methods for conservation laws is proposed. We present a method in the one-dimensional case based on the introduction of artificial viscosity into the original equations. With this approach the shock is capture with sharp resolution maintaining high-order accuracy. The ideas for the extension to the two-dimensional case are also set.","impression_tracking_id":null,"owner":{"id":14723476,"first_name":"Eva","middle_initials":null,"last_name":"Casoni","page_name":"EvaCasoni","domain_name":"upc","created_at":"2014-08-05T01:49:49.417-07:00","display_name":"Eva Casoni","url":"https://upc.academia.edu/EvaCasoni"},"attachments":[{"id":34368353,"title":"","file_type":"pdf","scribd_thumbnail_url":"https://attachments.academia-assets.com/34368353/thumbnails/1.jpg","file_name":"acta13.pdf","download_url":"https://www.academia.edu/attachments/34368353/download_file","bulk_download_file_name":"SHOCK_CAPTURING_WITH_DISCONTINUOUS_GALER.pdf","bulk_download_url":"https://d1wqtxts1xzle7.cloudfront.net/34368353/acta13-libre.pdf?1407228699=\u0026response-content-disposition=attachment%3B+filename%3DSHOCK_CAPTURING_WITH_DISCONTINUOUS_GALER.pdf\u0026Expires=1744022477\u0026Signature=e3jAXiqaAQv~gwNQfASUsebErOXGCJmTidTsK4qEWCvXuHLLSMMctOPkgq~oCrqURozeZJWW5rJdJ81PyuSHk8DzKN3A2P38EEHEUdE16BdYBo1yYEGCLLFkGcpmdmDec6Vo~QzZoi6BlmwGe2bOTs1GB~MHi6Mnd1oQ4X4RfoTh9iNlPWMdMH0MCC-k5lLRdp5PR8cJnRLo7IANbP1OHrFVW8lto3ZmXsT~H0ZXnHX8j2FAOzsZnb5KDwEx4J2tIbFhnT~CMCvtNjpa9ySBKMZQxifdzFpDRSUWs6Z0MSrAl78lyPpDizpLgodxOstPfWIthN~3bB2XndtvHtwv2w__\u0026Key-Pair-Id=APKAJLOHF5GGSLRBV4ZA"},{"id":34368354,"title":"","file_type":"pdf","scribd_thumbnail_url":"https://attachments.academia-assets.com/34368354/thumbnails/1.jpg","file_name":"acta13.pdf","download_url":"https://www.academia.edu/attachments/34368354/download_file","bulk_download_file_name":"SHOCK_CAPTURING_WITH_DISCONTINUOUS_GALER.pdf","bulk_download_url":"https://d1wqtxts1xzle7.cloudfront.net/34368354/acta13-libre.pdf?1407228665=\u0026response-content-disposition=attachment%3B+filename%3DSHOCK_CAPTURING_WITH_DISCONTINUOUS_GALER.pdf\u0026Expires=1744022477\u0026Signature=SLuRPsArVyGzsf9y7iUbveZ3e7XqgHK1J-P8t4ancG8L-5VLBHNCKxPLXBHTi36TOHS2YcLg6iz~hqBX3SJ5i4GZAEQRiM-GsVFDP~KCG8pAXeH3loVMlHwsHBZPRm1i8fex2OS~6SiY~HbqWG6dS8mPOifVyuLcFSHiDs2cC2eZvEYt3ZI99z~zww60q3YTUdXxtdYav22M2LgZkiXhu8dxbWNEx~eL6FwEehsX9glYvgm3nmAChbpVQdzz2A3IFouaPn9a8ctCPUNWPHo-KYPMGKQ9XVQw0oSEDjRxG9Rm0rLWqVeXylL7FL9Jx-iBvlM1IZUFSNoewLkhIP5MVg__\u0026Key-Pair-Id=APKAJLOHF5GGSLRBV4ZA"}],"research_interests":[{"id":96281,"name":"Applied mathematics and Modelling","url":"https://www.academia.edu/Documents/in/Applied_mathematics_and_Modelling"}],"urls":[{"id":3291676,"url":"http://upcommons.upc.edu/revistes/bitstream/2099/7814/1/acta13.pdf"}]}, dispatcherData: dispatcherData }); $(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") if (false) { Aedu.setUpFigureCarousel('profile-work-7879873-figures'); } }); </script> <div class="js-work-strip profile--work_container" data-work-id="7879872"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/7879872/Discontinuous_Galerkin_Methods_for_elliptic_problems"><img alt="Research paper thumbnail of Discontinuous Galerkin Methods for elliptic problems" class="work-thumbnail" src="https://attachments.academia-assets.com/48304747/thumbnails/1.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/7879872/Discontinuous_Galerkin_Methods_for_elliptic_problems">Discontinuous Galerkin Methods for elliptic problems</a></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">This paper is a short essay on discontinuous Galerkin methods intended for a very wide audience. ...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">This paper is a short essay on discontinuous Galerkin methods intended for a very wide audience. We present the discontinuous Galerkin methods and describe and discuss their main features. Since the methods use completely discontinuous approximations, they produce mass matrices that are block-diagonal. This renders the methods highly parallelizable when applied to hyperbolic problems. Another consequence of the use of discontinuous approximations is that these methods can easily handle irregular meshes with hanging nodes and approximations that have polynomials of different degrees in different elements. They are thus ideal for use with adaptive algorithms. Moreover, the methods are locally conservative (a property highly valued by the computational fluid dynamics community) and, in spite of providing discontinuous approximations, stable, and high-order accurate. Even more, when applied to non-linear hyperbolic problems, the discontinuous Galerkin methods are able to capture highly complex solutions presenting discontinuities with high resolution. In this paper, we concentrate on the exposition of the ideas behind the devising of these methods as well as on the mechanisms that allow them to perform so well in such a variety of problems.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="863070471e357f62b72678148aa73177" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":48304747,"asset_id":7879872,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/48304747/download_file?s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="7879872"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="7879872"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 7879872; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=7879872]").text(description); $(".js-view-count[data-work-id=7879872]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 7879872; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='7879872']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-a9bf3a2bc8c89fa2a77156577594264ee8a0f214d74241bc0fcd3f69f8d107ac.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (true){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "863070471e357f62b72678148aa73177" } } $('.js-work-strip[data-work-id=7879872]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":7879872,"title":"Discontinuous Galerkin Methods for elliptic problems","translated_title":"","metadata":{"grobid_abstract":"This paper is a short essay on discontinuous Galerkin methods intended for a very wide audience. We present the discontinuous Galerkin methods and describe and discuss their main features. Since the methods use completely discontinuous approximations, they produce mass matrices that are block-diagonal. This renders the methods highly parallelizable when applied to hyperbolic problems. Another consequence of the use of discontinuous approximations is that these methods can easily handle irregular meshes with hanging nodes and approximations that have polynomials of different degrees in different elements. They are thus ideal for use with adaptive algorithms. Moreover, the methods are locally conservative (a property highly valued by the computational fluid dynamics community) and, in spite of providing discontinuous approximations, stable, and high-order accurate. Even more, when applied to non-linear hyperbolic problems, the discontinuous Galerkin methods are able to capture highly complex solutions presenting discontinuities with high resolution. In this paper, we concentrate on the exposition of the ideas behind the devising of these methods as well as on the mechanisms that allow them to perform so well in such a variety of problems.","publication_date":{"day":null,"month":null,"year":1998,"errors":{}},"grobid_abstract_attachment_id":48304747},"translated_abstract":null,"internal_url":"https://www.academia.edu/7879872/Discontinuous_Galerkin_Methods_for_elliptic_problems","translated_internal_url":"","created_at":"2014-08-05T01:50:49.993-07:00","preview_url":null,"current_user_can_edit":null,"current_user_is_owner":null,"owner_id":14723476,"coauthors_can_edit":true,"document_type":"paper","co_author_tags":[],"downloadable_attachments":[{"id":48304747,"title":"","file_type":"pdf","scribd_thumbnail_url":"https://attachments.academia-assets.com/48304747/thumbnails/1.jpg","file_name":"Discontinuous_Galerkin_method20160825-12275-mkd99h.pdf","download_url":"https://www.academia.edu/attachments/48304747/download_file","bulk_download_file_name":"Discontinuous_Galerkin_Methods_for_ellip.pdf","bulk_download_url":"https://d1wqtxts1xzle7.cloudfront.net/48304747/Discontinuous_Galerkin_method20160825-12275-mkd99h-libre.pdf?1472121592=\u0026response-content-disposition=attachment%3B+filename%3DDiscontinuous_Galerkin_Methods_for_ellip.pdf\u0026Expires=1744022477\u0026Signature=NoXGsmYAXAJ02UB9ksmhzHatBAZiv9E2LO2FJ8ybDemnjGWIJhnqX40r0Fi605-O4gW15A3O21zx6xKHstgeDcQFeWA9RyO47loEVWTGe965tAmeVjsU8MBa1D7yP6cFhhtSfDKGsVcV5-wg88K7esciYLG8MV5O2kSnFe2OUiWKb7N9OuBw3FZVJ9M92cuCnNTGmbqqUDf9tGfnadbgpv4zdOGXOgcr3AehIeiymeQZvZBKkmwUcnP7HQPomKrudOOo11GqCic5JnUtadu8ll6JlNpI1XnzRyVvIT2gRlyL9PxPLF~zRUCoGe8syUf0QTjOAvh1dVk7EgvfqgcLFg__\u0026Key-Pair-Id=APKAJLOHF5GGSLRBV4ZA"}],"slug":"Discontinuous_Galerkin_Methods_for_elliptic_problems","translated_slug":"","page_count":25,"language":"en","content_type":"Work","summary":"This paper is a short essay on discontinuous Galerkin methods intended for a very wide audience. We present the discontinuous Galerkin methods and describe and discuss their main features. Since the methods use completely discontinuous approximations, they produce mass matrices that are block-diagonal. This renders the methods highly parallelizable when applied to hyperbolic problems. Another consequence of the use of discontinuous approximations is that these methods can easily handle irregular meshes with hanging nodes and approximations that have polynomials of different degrees in different elements. They are thus ideal for use with adaptive algorithms. Moreover, the methods are locally conservative (a property highly valued by the computational fluid dynamics community) and, in spite of providing discontinuous approximations, stable, and high-order accurate. Even more, when applied to non-linear hyperbolic problems, the discontinuous Galerkin methods are able to capture highly complex solutions presenting discontinuities with high resolution. In this paper, we concentrate on the exposition of the ideas behind the devising of these methods as well as on the mechanisms that allow them to perform so well in such a variety of problems.","impression_tracking_id":null,"owner":{"id":14723476,"first_name":"Eva","middle_initials":null,"last_name":"Casoni","page_name":"EvaCasoni","domain_name":"upc","created_at":"2014-08-05T01:49:49.417-07:00","display_name":"Eva Casoni","url":"https://upc.academia.edu/EvaCasoni"},"attachments":[{"id":48304747,"title":"","file_type":"pdf","scribd_thumbnail_url":"https://attachments.academia-assets.com/48304747/thumbnails/1.jpg","file_name":"Discontinuous_Galerkin_method20160825-12275-mkd99h.pdf","download_url":"https://www.academia.edu/attachments/48304747/download_file","bulk_download_file_name":"Discontinuous_Galerkin_Methods_for_ellip.pdf","bulk_download_url":"https://d1wqtxts1xzle7.cloudfront.net/48304747/Discontinuous_Galerkin_method20160825-12275-mkd99h-libre.pdf?1472121592=\u0026response-content-disposition=attachment%3B+filename%3DDiscontinuous_Galerkin_Methods_for_ellip.pdf\u0026Expires=1744022477\u0026Signature=NoXGsmYAXAJ02UB9ksmhzHatBAZiv9E2LO2FJ8ybDemnjGWIJhnqX40r0Fi605-O4gW15A3O21zx6xKHstgeDcQFeWA9RyO47loEVWTGe965tAmeVjsU8MBa1D7yP6cFhhtSfDKGsVcV5-wg88K7esciYLG8MV5O2kSnFe2OUiWKb7N9OuBw3FZVJ9M92cuCnNTGmbqqUDf9tGfnadbgpv4zdOGXOgcr3AehIeiymeQZvZBKkmwUcnP7HQPomKrudOOo11GqCic5JnUtadu8ll6JlNpI1XnzRyVvIT2gRlyL9PxPLF~zRUCoGe8syUf0QTjOAvh1dVk7EgvfqgcLFg__\u0026Key-Pair-Id=APKAJLOHF5GGSLRBV4ZA"}],"research_interests":[{"id":305,"name":"Applied Mathematics","url":"https://www.academia.edu/Documents/in/Applied_Mathematics"}],"urls":[{"id":3291675,"url":"http://www-lacan.upc.edu/old/seminars/abstracts05_06/RSC_ECR.pdf"}]}, dispatcherData: dispatcherData }); $(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") if (false) { Aedu.setUpFigureCarousel('profile-work-7879872-figures'); } }); </script> <div class="js-work-strip profile--work_container" data-work-id="7879870"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" rel="nofollow" href="https://www.academia.edu/7879870/One_Dimensional_Shock_Capturing_for_High_Order_Discontinuous_Galerkin_Methods"><img alt="Research paper thumbnail of One-Dimensional Shock-Capturing for High-Order Discontinuous Galerkin Methods" class="work-thumbnail" src="https://a.academia-assets.com/images/blank-paper.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title">One-Dimensional Shock-Capturing for High-Order Discontinuous Galerkin Methods</div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">Discontinuous Galerkin methods have emerged in recent years as a reasonable alternative for nonli...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">Discontinuous Galerkin methods have emerged in recent years as a reasonable alternative for nonlinear conservation equations. In particular, their inherent structure (the need of a numerical flux based on a suitable approximate Riemann solver which in practice introduces some stabilization) seem to suggest that they are specially adapted to capture shocks. however, the usual numerical fluxes are not sufficient to stabilize the solution in the presence of shocks for high-order discontinuous Galerkin. Thus, slope-limiter methods, which are extensions of finite volume methods, have been proposed for high-order approximations. Here it is shown that these techniques require mesh adaption and a new approach based on the introduction of artificial diffusion into the original equations is presented. The order is not systematically decreased to one in the presence of the shock, large high-order elements can be used, and several linear and nonlinear tests demonstrate the efficiency of the proposed methodology.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="7879870"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="7879870"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 7879870; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=7879870]").text(description); $(".js-view-count[data-work-id=7879870]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 7879870; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='7879870']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-a9bf3a2bc8c89fa2a77156577594264ee8a0f214d74241bc0fcd3f69f8d107ac.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (false){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "-1" } } $('.js-work-strip[data-work-id=7879870]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":7879870,"title":"One-Dimensional Shock-Capturing for High-Order Discontinuous Galerkin Methods","translated_title":"","metadata":{"abstract":"Discontinuous Galerkin methods have emerged in recent years as a reasonable alternative for nonlinear conservation equations. In particular, their inherent structure (the need of a numerical flux based on a suitable approximate Riemann solver which in practice introduces some stabilization) seem to suggest that they are specially adapted to capture shocks. however, the usual numerical fluxes are not sufficient to stabilize the solution in the presence of shocks for high-order discontinuous Galerkin. Thus, slope-limiter methods, which are extensions of finite volume methods, have been proposed for high-order approximations. Here it is shown that these techniques require mesh adaption and a new approach based on the introduction of artificial diffusion into the original equations is presented. The order is not systematically decreased to one in the presence of the shock, large high-order elements can be used, and several linear and nonlinear tests demonstrate the efficiency of the proposed methodology."},"translated_abstract":"Discontinuous Galerkin methods have emerged in recent years as a reasonable alternative for nonlinear conservation equations. In particular, their inherent structure (the need of a numerical flux based on a suitable approximate Riemann solver which in practice introduces some stabilization) seem to suggest that they are specially adapted to capture shocks. however, the usual numerical fluxes are not sufficient to stabilize the solution in the presence of shocks for high-order discontinuous Galerkin. Thus, slope-limiter methods, which are extensions of finite volume methods, have been proposed for high-order approximations. Here it is shown that these techniques require mesh adaption and a new approach based on the introduction of artificial diffusion into the original equations is presented. The order is not systematically decreased to one in the presence of the shock, large high-order elements can be used, and several linear and nonlinear tests demonstrate the efficiency of the proposed methodology.","internal_url":"https://www.academia.edu/7879870/One_Dimensional_Shock_Capturing_for_High_Order_Discontinuous_Galerkin_Methods","translated_internal_url":"","created_at":"2014-08-05T01:50:49.834-07:00","preview_url":null,"current_user_can_edit":null,"current_user_is_owner":null,"owner_id":14723476,"coauthors_can_edit":true,"document_type":"paper","co_author_tags":[],"downloadable_attachments":[],"slug":"One_Dimensional_Shock_Capturing_for_High_Order_Discontinuous_Galerkin_Methods","translated_slug":"","page_count":null,"language":"en","content_type":"Work","summary":"Discontinuous Galerkin methods have emerged in recent years as a reasonable alternative for nonlinear conservation equations. In particular, their inherent structure (the need of a numerical flux based on a suitable approximate Riemann solver which in practice introduces some stabilization) seem to suggest that they are specially adapted to capture shocks. however, the usual numerical fluxes are not sufficient to stabilize the solution in the presence of shocks for high-order discontinuous Galerkin. Thus, slope-limiter methods, which are extensions of finite volume methods, have been proposed for high-order approximations. Here it is shown that these techniques require mesh adaption and a new approach based on the introduction of artificial diffusion into the original equations is presented. 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In particular, their inherent structure (the need of a numerical flux based on a suitable approximate Riemann solver which in practice introduces some stabilization) seem to suggest that they are specially adapted to capture shocks. however, the usual numerical fluxes are not sufficient to stabilize the solution in the presence of shocks for high-order discontinuous Galerkin. Thus, slope-limiter methods, which are extensions of finite volume methods, have been proposed for high-order approximations. Here it is shown that these techniques require mesh adaption and a new approach based on the introduction of artificial diffusion into the original equations is presented. The order is not systematically decreased to one in the presence of the shock, large high-order elements can be used, and several linear and nonlinear tests demonstrate the efficiency of the proposed methodology.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="e630c43b8ced73ba657664de646cda88" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":34368346,"asset_id":7879869,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/34368346/download_file?s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="7879869"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="7879869"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 7879869; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=7879869]").text(description); $(".js-view-count[data-work-id=7879869]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 7879869; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='7879869']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-a9bf3a2bc8c89fa2a77156577594264ee8a0f214d74241bc0fcd3f69f8d107ac.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (true){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "e630c43b8ced73ba657664de646cda88" } } $('.js-work-strip[data-work-id=7879869]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":7879869,"title":"ECCOMAS-JUBILEE-HUERTA","translated_title":"","metadata":{"grobid_abstract":"Discontinuous Galerkin methods have emerged in recent years as a reasonable alternative for nonlinear conservation equations. 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From the proposed dynamics experiment, the motion of the pendulum is recorded using a high-speed camera. The evolution of the pendulum’s positions is recovered using a capturing motion technique by tracking markers. The simulation of the problem is developed in the framework of a parallel multi-physics code. Particular emphasis is placed on the analysis of the Newmark integration scheme and the use of Rayleigh damping model. In particular, the time step size effect is analyzed. A strong time step size dependency is obtained for dissipative time integration schemes, while the Rayleigh damping formulation without time integration dissipation shows time step–independent results when convergence is achieved.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="41db70287e2460f68f27807f92b016f9" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":98976289,"asset_id":97323746,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/98976289/download_file?s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="97323746"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="97323746"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 97323746; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=97323746]").text(description); $(".js-view-count[data-work-id=97323746]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 97323746; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='97323746']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-a9bf3a2bc8c89fa2a77156577594264ee8a0f214d74241bc0fcd3f69f8d107ac.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (true){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "41db70287e2460f68f27807f92b016f9" } } $('.js-work-strip[data-work-id=97323746]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":97323746,"title":"Modeling the damped dynamic behavior of a flexible pendulum","translated_title":"","metadata":{"abstract":"The focus of this work is on the computational modeling of a pendulum made of a hyperelastic material and the corresponding experimental validation with the aim of contributing to the study of a material commonly used in seismic absorber devices. 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A strong time step size dependency is obtained for dissipative time integration schemes, while the Rayleigh damping formulation without time integration dissipation shows time step–independent results when convergence is achieved.","publisher":"SAGE Publications","ai_title_tag":"Flexible Pendulum Dynamics: Modeling and Validation","publication_date":{"day":null,"month":null,"year":2019,"errors":{}},"publication_name":"The Journal of Strain Analysis for Engineering Design"},"translated_abstract":"The focus of this work is on the computational modeling of a pendulum made of a hyperelastic material and the corresponding experimental validation with the aim of contributing to the study of a material commonly used in seismic absorber devices. From the proposed dynamics experiment, the motion of the pendulum is recorded using a high-speed camera. The evolution of the pendulum’s positions is recovered using a capturing motion technique by tracking markers. 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A strong time step size dependency is obtained for dissipative time integration schemes, while the Rayleigh damping formulation without time integration dissipation shows time step–independent results when convergence is achieved.","internal_url":"https://www.academia.edu/97323746/Modeling_the_damped_dynamic_behavior_of_a_flexible_pendulum","translated_internal_url":"","created_at":"2023-02-22T00:04:16.678-08:00","preview_url":null,"current_user_can_edit":null,"current_user_is_owner":null,"owner_id":14723476,"coauthors_can_edit":true,"document_type":"paper","co_author_tags":[],"downloadable_attachments":[{"id":98976289,"title":"","file_type":"pdf","scribd_thumbnail_url":"https://attachments.academia-assets.com/98976289/thumbnails/1.jpg","file_name":"030932471983273520230222-1-1l6rqsx.pdf","download_url":"https://www.academia.edu/attachments/98976289/download_file","bulk_download_file_name":"Modeling_the_damped_dynamic_behavior_of.pdf","bulk_download_url":"https://d1wqtxts1xzle7.cloudfront.net/98976289/030932471983273520230222-1-1l6rqsx-libre.pdf?1677053151=\u0026response-content-disposition=attachment%3B+filename%3DModeling_the_damped_dynamic_behavior_of.pdf\u0026Expires=1744022476\u0026Signature=asPGr0B-CqRwvPnbMcZU75oAW5l~d9OVYgpCdKn6X4MpsyRKdQ6GeZcg107L1BuHtgiuzwXuwxGi12PisYN14yR4aW-AMEuG2EGymitHeXbWykGTiDz9v2IZSOi6nPvKj2H8YRwRDJ6ULUwKKv5dpIVBIBgdWMPRafQNgesb5tPShPc4tmBazBIG0~BevSYGHj5zjzBXB4ZMBllJgcvZbDYHu7i4nCuimTfh2ef4ofp0ZxP85ZjeYhusef-HnuwCtfXnq4v3LFHb4cd4YY7uroz1QCWPiR6mvi-vYmPu1KkXVwxZKb0ABDcxE-2R3G9rWY-oD-sXzve-7r7p3WuYeA__\u0026Key-Pair-Id=APKAJLOHF5GGSLRBV4ZA"}],"slug":"Modeling_the_damped_dynamic_behavior_of_a_flexible_pendulum","translated_slug":"","page_count":14,"language":"en","content_type":"Work","summary":"The focus of this work is on the computational modeling of a pendulum made of a hyperelastic material and the corresponding experimental validation with the aim of contributing to the study of a material commonly used in seismic absorber devices. From the proposed dynamics experiment, the motion of the pendulum is recorded using a high-speed camera. The evolution of the pendulum’s positions is recovered using a capturing motion technique by tracking markers. The simulation of the problem is developed in the framework of a parallel multi-physics code. Particular emphasis is placed on the analysis of the Newmark integration scheme and the use of Rayleigh damping model. In particular, the time step size effect is analyzed. A strong time step size dependency is obtained for dissipative time integration schemes, while the Rayleigh damping formulation without time integration dissipation shows time step–independent results when convergence is achieved.","impression_tracking_id":null,"owner":{"id":14723476,"first_name":"Eva","middle_initials":null,"last_name":"Casoni","page_name":"EvaCasoni","domain_name":"upc","created_at":"2014-08-05T01:49:49.417-07:00","display_name":"Eva Casoni","url":"https://upc.academia.edu/EvaCasoni"},"attachments":[{"id":98976289,"title":"","file_type":"pdf","scribd_thumbnail_url":"https://attachments.academia-assets.com/98976289/thumbnails/1.jpg","file_name":"030932471983273520230222-1-1l6rqsx.pdf","download_url":"https://www.academia.edu/attachments/98976289/download_file","bulk_download_file_name":"Modeling_the_damped_dynamic_behavior_of.pdf","bulk_download_url":"https://d1wqtxts1xzle7.cloudfront.net/98976289/030932471983273520230222-1-1l6rqsx-libre.pdf?1677053151=\u0026response-content-disposition=attachment%3B+filename%3DModeling_the_damped_dynamic_behavior_of.pdf\u0026Expires=1744022476\u0026Signature=asPGr0B-CqRwvPnbMcZU75oAW5l~d9OVYgpCdKn6X4MpsyRKdQ6GeZcg107L1BuHtgiuzwXuwxGi12PisYN14yR4aW-AMEuG2EGymitHeXbWykGTiDz9v2IZSOi6nPvKj2H8YRwRDJ6ULUwKKv5dpIVBIBgdWMPRafQNgesb5tPShPc4tmBazBIG0~BevSYGHj5zjzBXB4ZMBllJgcvZbDYHu7i4nCuimTfh2ef4ofp0ZxP85ZjeYhusef-HnuwCtfXnq4v3LFHb4cd4YY7uroz1QCWPiR6mvi-vYmPu1KkXVwxZKb0ABDcxE-2R3G9rWY-oD-sXzve-7r7p3WuYeA__\u0026Key-Pair-Id=APKAJLOHF5GGSLRBV4ZA"}],"research_interests":[{"id":60,"name":"Mechanical Engineering","url":"https://www.academia.edu/Documents/in/Mechanical_Engineering"},{"id":498,"name":"Physics","url":"https://www.academia.edu/Documents/in/Physics"},{"id":202360,"name":"Pendulum","url":"https://www.academia.edu/Documents/in/Pendulum"},{"id":222949,"name":"Dissipation","url":"https://www.academia.edu/Documents/in/Dissipation"},{"id":245193,"name":"Numerical Integration","url":"https://www.academia.edu/Documents/in/Numerical_Integration"}],"urls":[{"id":29186920,"url":"http://journals.sagepub.com/doi/pdf/10.1177/0309324719832735"}]}, dispatcherData: dispatcherData }); $(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") if (false) { Aedu.setUpFigureCarousel('profile-work-97323746-figures'); } }); </script> <div class="js-work-strip profile--work_container" data-work-id="97323744"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" rel="nofollow" href="https://www.academia.edu/97323744/A_phase_field_approach_to_simulate_intralaminar_and_translaminar_fracture_in_long_fiber_composite_materials"><img alt="Research paper thumbnail of A phase field approach to simulate intralaminar and translaminar fracture in long fiber composite materials" class="work-thumbnail" src="https://a.academia-assets.com/images/blank-paper.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title">A phase field approach to simulate intralaminar and translaminar fracture in long fiber composite materials</div><div class="wp-workCard_item"><span>Composite Structures</span><span>, 2019</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">Abstract The development of predictive numerical methods, which accurately represent the progress...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">Abstract The development of predictive numerical methods, which accurately represent the progressive failure of long fiber composite materials, is nowadays required for the achievement of optimized mechanical responses in terms of load bearing capacities of modern composite structures. In this investigation, two characteristic failure mechanisms of long fiber composites, denominated as intralaminar and translaminar fracture, are simulated by means of a novel version of the phase field (PF) approach of fracture. This numerical strategy encompasses a sort of gradient-enhanced damage formulation rooted in the Griffith theory of fracture, which is herewith extended for its use in composite laminates applications. In order to assess its verification and validation, the predictions obtained using the present formulation are compared against experimental results and two well-established alternative computational methods, which correspond to an anisotropic local-based continuum damage model and a cohesive zone model. The comparisons demonstrate that the PF approach with the proposed formulation provides reliable and robust predictions under quasi-static loading, but with a higher versatility regarding the potential of triggering arbitrarily complex crack paths with intricate topology over alternative techniques.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="97323744"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="97323744"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 97323744; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=97323744]").text(description); $(".js-view-count[data-work-id=97323744]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 97323744; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='97323744']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-a9bf3a2bc8c89fa2a77156577594264ee8a0f214d74241bc0fcd3f69f8d107ac.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (false){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "-1" } } $('.js-work-strip[data-work-id=97323744]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":97323744,"title":"A phase field approach to simulate intralaminar and translaminar fracture in long fiber composite materials","translated_title":"","metadata":{"abstract":"Abstract The development of predictive numerical methods, which accurately represent the progressive failure of long fiber composite materials, is nowadays required for the achievement of optimized mechanical responses in terms of load bearing capacities of modern composite structures. In this investigation, two characteristic failure mechanisms of long fiber composites, denominated as intralaminar and translaminar fracture, are simulated by means of a novel version of the phase field (PF) approach of fracture. This numerical strategy encompasses a sort of gradient-enhanced damage formulation rooted in the Griffith theory of fracture, which is herewith extended for its use in composite laminates applications. In order to assess its verification and validation, the predictions obtained using the present formulation are compared against experimental results and two well-established alternative computational methods, which correspond to an anisotropic local-based continuum damage model and a cohesive zone model. The comparisons demonstrate that the PF approach with the proposed formulation provides reliable and robust predictions under quasi-static loading, but with a higher versatility regarding the potential of triggering arbitrarily complex crack paths with intricate topology over alternative techniques.","publisher":"Elsevier BV","publication_date":{"day":null,"month":null,"year":2019,"errors":{}},"publication_name":"Composite Structures"},"translated_abstract":"Abstract The development of predictive numerical methods, which accurately represent the progressive failure of long fiber composite materials, is nowadays required for the achievement of optimized mechanical responses in terms of load bearing capacities of modern composite structures. In this investigation, two characteristic failure mechanisms of long fiber composites, denominated as intralaminar and translaminar fracture, are simulated by means of a novel version of the phase field (PF) approach of fracture. This numerical strategy encompasses a sort of gradient-enhanced damage formulation rooted in the Griffith theory of fracture, which is herewith extended for its use in composite laminates applications. In order to assess its verification and validation, the predictions obtained using the present formulation are compared against experimental results and two well-established alternative computational methods, which correspond to an anisotropic local-based continuum damage model and a cohesive zone model. The comparisons demonstrate that the PF approach with the proposed formulation provides reliable and robust predictions under quasi-static loading, but with a higher versatility regarding the potential of triggering arbitrarily complex crack paths with intricate topology over alternative techniques.","internal_url":"https://www.academia.edu/97323744/A_phase_field_approach_to_simulate_intralaminar_and_translaminar_fracture_in_long_fiber_composite_materials","translated_internal_url":"","created_at":"2023-02-22T00:04:16.343-08:00","preview_url":null,"current_user_can_edit":null,"current_user_is_owner":null,"owner_id":14723476,"coauthors_can_edit":true,"document_type":"paper","co_author_tags":[],"downloadable_attachments":[],"slug":"A_phase_field_approach_to_simulate_intralaminar_and_translaminar_fracture_in_long_fiber_composite_materials","translated_slug":"","page_count":null,"language":"en","content_type":"Work","summary":"Abstract The development of predictive numerical methods, which accurately represent the progressive failure of long fiber composite materials, is nowadays required for the achievement of optimized mechanical responses in terms of load bearing capacities of modern composite structures. In this investigation, two characteristic failure mechanisms of long fiber composites, denominated as intralaminar and translaminar fracture, are simulated by means of a novel version of the phase field (PF) approach of fracture. This numerical strategy encompasses a sort of gradient-enhanced damage formulation rooted in the Griffith theory of fracture, which is herewith extended for its use in composite laminates applications. In order to assess its verification and validation, the predictions obtained using the present formulation are compared against experimental results and two well-established alternative computational methods, which correspond to an anisotropic local-based continuum damage model and a cohesive zone model. The comparisons demonstrate that the PF approach with the proposed formulation provides reliable and robust predictions under quasi-static loading, but with a higher versatility regarding the potential of triggering arbitrarily complex crack paths with intricate topology over alternative techniques.","impression_tracking_id":null,"owner":{"id":14723476,"first_name":"Eva","middle_initials":null,"last_name":"Casoni","page_name":"EvaCasoni","domain_name":"upc","created_at":"2014-08-05T01:49:49.417-07:00","display_name":"Eva Casoni","url":"https://upc.academia.edu/EvaCasoni"},"attachments":[],"research_interests":[{"id":48,"name":"Engineering","url":"https://www.academia.edu/Documents/in/Engineering"},{"id":511,"name":"Materials Science","url":"https://www.academia.edu/Documents/in/Materials_Science"},{"id":51372,"name":"Fiber","url":"https://www.academia.edu/Documents/in/Fiber"},{"id":169323,"name":"Composite Material","url":"https://www.academia.edu/Documents/in/Composite_Material"},{"id":195378,"name":"Composite structures","url":"https://www.academia.edu/Documents/in/Composite_structures"}],"urls":[{"id":29186918,"url":"https://api.elsevier.com/content/article/PII:S0263822318339928?httpAccept=text/xml"}]}, dispatcherData: dispatcherData }); $(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") if (false) { Aedu.setUpFigureCarousel('profile-work-97323744-figures'); } }); </script> <div class="js-work-strip profile--work_container" data-work-id="97323741"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" rel="nofollow" href="https://www.academia.edu/97323741/Enabling_a_Computational_Mechanics_Code_for_Massively_Parallel_Supercomputers"><img alt="Research paper thumbnail of Enabling a Computational Mechanics Code for Massively Parallel Supercomputers" class="work-thumbnail" src="https://a.academia-assets.com/images/blank-paper.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title">Enabling a Computational Mechanics Code for Massively Parallel Supercomputers</div><div class="wp-workCard_item"><span>Proceedings of the Third International Conference on Parallel, Distributed, Grid and Cloud Computing for Engineering</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">ABSTRACT This paper introduces an hybrid parallel model of the solid mechanics simulation strateg...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">ABSTRACT This paper introduces an hybrid parallel model of the solid mechanics simulation strategy of Alya-High Performance Computational Mechanics, a multi-physics code for supercomputing platforms, developed at Barcelona Supercomputing Center. The goal of the paper is the parallelization strategy, which is chosen as a hybrid MPI/OpenMP model in order to take advantage of all the levels of parallelism that a multicore architecture offers. The paper describes the main features: numerical implementation, algorithms, solution schemes, parallel issues and code engineering. Space and time discretization are based on the finite element method and on finite differences respectively. The solution scheme presented is a total Lagrangian formulation for large deformations, with Newton schemes to cope with non-linearities. Time integration is done either explicitly or implicitly. To exploit the thread-level parallelism of multicore architectures, OpenMP parallelization is introduced in the most time-consuming routines of the solid mechanics, mainly the element assembly and the iterative solver. Additionally, as the communications between threads are via shared memory, there would be a reduction of the communication cost between processors. The main ideas implemented behind the parallel I/O aspects are detailed. Preliminary scalability results are presented for a three-dimensional beam test that requires large data structures. The results obtained are encouraging, outperforming the current MPI-based Alya implementation.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="97323741"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="97323741"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 97323741; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=97323741]").text(description); $(".js-view-count[data-work-id=97323741]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 97323741; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='97323741']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-a9bf3a2bc8c89fa2a77156577594264ee8a0f214d74241bc0fcd3f69f8d107ac.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (false){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "-1" } } $('.js-work-strip[data-work-id=97323741]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":97323741,"title":"Enabling a Computational Mechanics Code for Massively Parallel Supercomputers","translated_title":"","metadata":{"abstract":"ABSTRACT This paper introduces an hybrid parallel model of the solid mechanics simulation strategy of Alya-High Performance Computational Mechanics, a multi-physics code for supercomputing platforms, developed at Barcelona Supercomputing Center. The goal of the paper is the parallelization strategy, which is chosen as a hybrid MPI/OpenMP model in order to take advantage of all the levels of parallelism that a multicore architecture offers. The paper describes the main features: numerical implementation, algorithms, solution schemes, parallel issues and code engineering. Space and time discretization are based on the finite element method and on finite differences respectively. The solution scheme presented is a total Lagrangian formulation for large deformations, with Newton schemes to cope with non-linearities. Time integration is done either explicitly or implicitly. To exploit the thread-level parallelism of multicore architectures, OpenMP parallelization is introduced in the most time-consuming routines of the solid mechanics, mainly the element assembly and the iterative solver. Additionally, as the communications between threads are via shared memory, there would be a reduction of the communication cost between processors. The main ideas implemented behind the parallel I/O aspects are detailed. Preliminary scalability results are presented for a three-dimensional beam test that requires large data structures. The results obtained are encouraging, outperforming the current MPI-based Alya implementation.","publication_name":"Proceedings of the Third International Conference on Parallel, Distributed, Grid and Cloud Computing for Engineering"},"translated_abstract":"ABSTRACT This paper introduces an hybrid parallel model of the solid mechanics simulation strategy of Alya-High Performance Computational Mechanics, a multi-physics code for supercomputing platforms, developed at Barcelona Supercomputing Center. The goal of the paper is the parallelization strategy, which is chosen as a hybrid MPI/OpenMP model in order to take advantage of all the levels of parallelism that a multicore architecture offers. The paper describes the main features: numerical implementation, algorithms, solution schemes, parallel issues and code engineering. Space and time discretization are based on the finite element method and on finite differences respectively. The solution scheme presented is a total Lagrangian formulation for large deformations, with Newton schemes to cope with non-linearities. Time integration is done either explicitly or implicitly. To exploit the thread-level parallelism of multicore architectures, OpenMP parallelization is introduced in the most time-consuming routines of the solid mechanics, mainly the element assembly and the iterative solver. Additionally, as the communications between threads are via shared memory, there would be a reduction of the communication cost between processors. The main ideas implemented behind the parallel I/O aspects are detailed. Preliminary scalability results are presented for a three-dimensional beam test that requires large data structures. The results obtained are encouraging, outperforming the current MPI-based Alya implementation.","internal_url":"https://www.academia.edu/97323741/Enabling_a_Computational_Mechanics_Code_for_Massively_Parallel_Supercomputers","translated_internal_url":"","created_at":"2023-02-22T00:04:15.924-08:00","preview_url":null,"current_user_can_edit":null,"current_user_is_owner":null,"owner_id":14723476,"coauthors_can_edit":true,"document_type":"paper","co_author_tags":[],"downloadable_attachments":[],"slug":"Enabling_a_Computational_Mechanics_Code_for_Massively_Parallel_Supercomputers","translated_slug":"","page_count":null,"language":"en","content_type":"Work","summary":"ABSTRACT This paper introduces an hybrid parallel model of the solid mechanics simulation strategy of Alya-High Performance Computational Mechanics, a multi-physics code for supercomputing platforms, developed at Barcelona Supercomputing Center. The goal of the paper is the parallelization strategy, which is chosen as a hybrid MPI/OpenMP model in order to take advantage of all the levels of parallelism that a multicore architecture offers. The paper describes the main features: numerical implementation, algorithms, solution schemes, parallel issues and code engineering. Space and time discretization are based on the finite element method and on finite differences respectively. The solution scheme presented is a total Lagrangian formulation for large deformations, with Newton schemes to cope with non-linearities. Time integration is done either explicitly or implicitly. To exploit the thread-level parallelism of multicore architectures, OpenMP parallelization is introduced in the most time-consuming routines of the solid mechanics, mainly the element assembly and the iterative solver. Additionally, as the communications between threads are via shared memory, there would be a reduction of the communication cost between processors. The main ideas implemented behind the parallel I/O aspects are detailed. Preliminary scalability results are presented for a three-dimensional beam test that requires large data structures. The results obtained are encouraging, outperforming the current MPI-based Alya implementation.","impression_tracking_id":null,"owner":{"id":14723476,"first_name":"Eva","middle_initials":null,"last_name":"Casoni","page_name":"EvaCasoni","domain_name":"upc","created_at":"2014-08-05T01:49:49.417-07:00","display_name":"Eva Casoni","url":"https://upc.academia.edu/EvaCasoni"},"attachments":[],"research_interests":[{"id":422,"name":"Computer Science","url":"https://www.academia.edu/Documents/in/Computer_Science"},{"id":442,"name":"Parallel Computing","url":"https://www.academia.edu/Documents/in/Parallel_Computing"},{"id":11819,"name":"Computational Science","url":"https://www.academia.edu/Documents/in/Computational_Science"}],"urls":[]}, dispatcherData: dispatcherData }); $(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") if (false) { Aedu.setUpFigureCarousel('profile-work-97323741-figures'); } }); </script> <div class="js-work-strip profile--work_container" data-work-id="97323740"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/97323740/Alya_Computational_Solid_Mechanics_for_Supercomputers"><img alt="Research paper thumbnail of Alya: Computational Solid Mechanics for Supercomputers" class="work-thumbnail" src="https://attachments.academia-assets.com/98976285/thumbnails/1.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/97323740/Alya_Computational_Solid_Mechanics_for_Supercomputers">Alya: Computational Solid Mechanics for Supercomputers</a></div><div class="wp-workCard_item"><span>Archives of Computational Methods in Engineering</span><span>, 2014</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">While solid mechanics codes are now conventional tools both in industry and research, the increas...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">While solid mechanics codes are now conventional tools both in industry and research, the increasingly more exigent requirements of both sectors are fuelling the need for more computational power and more advanced algorithms. For obvious reasons, commercial codes are lagging behind academic codes often dedicated either to the implementation of one new technique, or the upscaling of current conventional codes to tackle massively large scale computational problems. Only in a few cases, both approaches have been followed simultaneously. In this article, a solid mechanics simulation strategy for parallel supercomputers based on a hybrid approach is presented. Hybrid parallelization exploits the thread-level parallelism of multicore architectures, com</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="b736021be8cbb8d8f0055b29eeb1b857" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":98976285,"asset_id":97323740,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/98976285/download_file?s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="97323740"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="97323740"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 97323740; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=97323740]").text(description); $(".js-view-count[data-work-id=97323740]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 97323740; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='97323740']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-a9bf3a2bc8c89fa2a77156577594264ee8a0f214d74241bc0fcd3f69f8d107ac.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (true){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "b736021be8cbb8d8f0055b29eeb1b857" } } $('.js-work-strip[data-work-id=97323740]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":97323740,"title":"Alya: Computational Solid Mechanics for Supercomputers","translated_title":"","metadata":{"publisher":"Springer Science and Business Media LLC","ai_title_tag":"Hybrid Parallelism in Solid Mechanics Simulations","grobid_abstract":"While solid mechanics codes are now conventional tools both in industry and research, the increasingly more exigent requirements of both sectors are fuelling the need for more computational power and more advanced algorithms. 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More particularly, the development of both accurate and flexible numerical models able to capture their intrinsically multiscale modes of failure is still a challenge. The standard finite element method typically requires intensive remeshing to adequately capture the geometry of the cracks and high accuracy is thus often sacrificed in favor of scalability, and vice versa. In an effort to preserve both properties, we present here an extended finite element method (XFEM) for large scale composite fracture simulations. In this formulation, the standard FEM formulation is partially enriched by use of shifted Heaviside functions with special attention paid to the scalability of the scheme. This enrichment technique offers several benefits, since the interpolation property of the standard shape function still holds at the nodes. Those benefits include (i) no extra boundary condition for the enrichment degree of freedom, and (ii) no need for transition/blending regions; both of which contribute to maintain the scalability of the code. Two different cohesive zone models (CZM) are then adopted to capture the physics of the crack propagation mechanisms. At the intralaminar level, an extrinsic CZM embedded in the XFEM formulation is used. At the interlaminar level, an intrinsic CZM is adopted for predicting the failure. The overall framework is implemented in ALYA, a mechanics code specifically developed for large scale, massively parallel simulations of coupled multi-physics problems. The implementation of both intrinsic and extrinsic CZM models within the code is such that it conserves the extremely efficient scalability of ALYA while providing accurate physical simulations of computationally expensive phenomena. The strong scalability provided by the proposed implementation is demonstrated. The model is ultimately validated against a full experimental campaign of loading tests and X-ray tomography analyses for a chosen very large scale.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="c20cb638d3231c4961e0d177d2c5ec25" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":98976291,"asset_id":97323739,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/98976291/download_file?s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="97323739"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="97323739"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 97323739; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=97323739]").text(description); $(".js-view-count[data-work-id=97323739]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 97323739; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='97323739']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-a9bf3a2bc8c89fa2a77156577594264ee8a0f214d74241bc0fcd3f69f8d107ac.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (true){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "c20cb638d3231c4961e0d177d2c5ec25" } } $('.js-work-strip[data-work-id=97323739]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":97323739,"title":"An XFEM/CZM implementation for massively parallel simulations of composites fracture","translated_title":"","metadata":{"publisher":"Elsevier BV","ai_title_tag":"Parallel XFEM/CZM for Composite Fracture Simulations","grobid_abstract":"Because of their widely spread use in many industries, composites are the subject of many research campaigns. More particularly, the development of both accurate and flexible numerical models able to capture their intrinsically multiscale modes of failure is still a challenge. The standard finite element method typically requires intensive remeshing to adequately capture the geometry of the cracks and high accuracy is thus often sacrificed in favor of scalability, and vice versa. In an effort to preserve both properties, we present here an extended finite element method (XFEM) for large scale composite fracture simulations. In this formulation, the standard FEM formulation is partially enriched by use of shifted Heaviside functions with special attention paid to the scalability of the scheme. This enrichment technique offers several benefits, since the interpolation property of the standard shape function still holds at the nodes. Those benefits include (i) no extra boundary condition for the enrichment degree of freedom, and (ii) no need for transition/blending regions; both of which contribute to maintain the scalability of the code. Two different cohesive zone models (CZM) are then adopted to capture the physics of the crack propagation mechanisms. At the intralaminar level, an extrinsic CZM embedded in the XFEM formulation is used. At the interlaminar level, an intrinsic CZM is adopted for predicting the failure. The overall framework is implemented in ALYA, a mechanics code specifically developed for large scale, massively parallel simulations of coupled multi-physics problems. The implementation of both intrinsic and extrinsic CZM models within the code is such that it conserves the extremely efficient scalability of ALYA while providing accurate physical simulations of computationally expensive phenomena. The strong scalability provided by the proposed implementation is demonstrated. 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More particularly, the development of both accurate and flexible numerical models able to capture their intrinsically multiscale modes of failure is still a challenge. The standard finite element method typically requires intensive remeshing to adequately capture the geometry of the cracks and high accuracy is thus often sacrificed in favor of scalability, and vice versa. In an effort to preserve both properties, we present here an extended finite element method (XFEM) for large scale composite fracture simulations. In this formulation, the standard FEM formulation is partially enriched by use of shifted Heaviside functions with special attention paid to the scalability of the scheme. This enrichment technique offers several benefits, since the interpolation property of the standard shape function still holds at the nodes. Those benefits include (i) no extra boundary condition for the enrichment degree of freedom, and (ii) no need for transition/blending regions; both of which contribute to maintain the scalability of the code. Two different cohesive zone models (CZM) are then adopted to capture the physics of the crack propagation mechanisms. At the intralaminar level, an extrinsic CZM embedded in the XFEM formulation is used. At the interlaminar level, an intrinsic CZM is adopted for predicting the failure. The overall framework is implemented in ALYA, a mechanics code specifically developed for large scale, massively parallel simulations of coupled multi-physics problems. The implementation of both intrinsic and extrinsic CZM models within the code is such that it conserves the extremely efficient scalability of ALYA while providing accurate physical simulations of computationally expensive phenomena. The strong scalability provided by the proposed implementation is demonstrated. The model is ultimately validated against a full experimental campaign of loading tests and X-ray tomography analyses for a chosen very large scale.","impression_tracking_id":null,"owner":{"id":14723476,"first_name":"Eva","middle_initials":null,"last_name":"Casoni","page_name":"EvaCasoni","domain_name":"upc","created_at":"2014-08-05T01:49:49.417-07:00","display_name":"Eva Casoni","url":"https://upc.academia.edu/EvaCasoni"},"attachments":[{"id":98976291,"title":"","file_type":"pdf","scribd_thumbnail_url":"https://attachments.academia-assets.com/98976291/thumbnails/1.jpg","file_name":"2015_COST_XFEM.pdf","download_url":"https://www.academia.edu/attachments/98976291/download_file","bulk_download_file_name":"An_XFEM_CZM_implementation_for_massively.pdf","bulk_download_url":"https://d1wqtxts1xzle7.cloudfront.net/98976291/2015_COST_XFEM-libre.pdf?1677053159=\u0026response-content-disposition=attachment%3B+filename%3DAn_XFEM_CZM_implementation_for_massively.pdf\u0026Expires=1744022477\u0026Signature=MSI-qC7x8E7zhzqfGTC1MRWV9s~j6C8-9vrXi3xHSLPSiIVWprMCD0EHp19T1QJaFo1Yh9BvKYpBoonp6gqCNgGBz2CzycQ3ud7GnQx~HgivnFEIqg0ezs7AeGuHDi~GXXa9fFwUcClE0lrBjo8HnwfBpxBGf9HvarchuSGlDYe-LK8tjXt-wTPUAkS50mUyaCdm9tu~UtYKBmEz7930Rb3TnnHhIhvvR4Dn6Q~iPdRnQuwVyUJ14lBlO1eTrrRYb4-UY7SwODXeZ1l3UhOXRuL-t3wxg894zD4SueBQ1Nsro0Birjn~isO83jBeU2qtUtZAPjB6IYSQlT8vQLYiow__\u0026Key-Pair-Id=APKAJLOHF5GGSLRBV4ZA"}],"research_interests":[{"id":48,"name":"Engineering","url":"https://www.academia.edu/Documents/in/Engineering"},{"id":498,"name":"Physics","url":"https://www.academia.edu/Documents/in/Physics"},{"id":511,"name":"Materials Science","url":"https://www.academia.edu/Documents/in/Materials_Science"},{"id":4496,"name":"Composites","url":"https://www.academia.edu/Documents/in/Composites"},{"id":24257,"name":"Failure","url":"https://www.academia.edu/Documents/in/Failure"},{"id":47947,"name":"Fracture and cohesive zone model","url":"https://www.academia.edu/Documents/in/Fracture_and_cohesive_zone_model"},{"id":169323,"name":"Composite Material","url":"https://www.academia.edu/Documents/in/Composite_Material"},{"id":195378,"name":"Composite structures","url":"https://www.academia.edu/Documents/in/Composite_structures"},{"id":897823,"name":"Elsevier","url":"https://www.academia.edu/Documents/in/Elsevier"}],"urls":[{"id":29186915,"url":"https://api.elsevier.com/content/article/PII:S0263822315001063?httpAccept=text/xml"}]}, dispatcherData: dispatcherData }); $(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") if (false) { Aedu.setUpFigureCarousel('profile-work-97323739-figures'); } }); </script> <div class="js-work-strip profile--work_container" data-work-id="97323264"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/97323264/SEVENTH_FRAMEWORK_PROGRAMME_Research_Infrastructures_INFRA_2011_2_3_5_Second_Implementation_Phase_of_the_European_High_Performance_Computing_HPC_service_PRACE_PRACE_2IP_PRACE_Second_Implementation_Phase_Project"><img alt="Research paper thumbnail of SEVENTH FRAMEWORK PROGRAMME Research Infrastructures INFRA-2011-2.3.5 – Second Implementation Phase of the European High Performance Computing (HPC) service PRACE PRACE-2IP PRACE Second Implementation Phase Project" class="work-thumbnail" src="https://attachments.academia-assets.com/98975898/thumbnails/1.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/97323264/SEVENTH_FRAMEWORK_PROGRAMME_Research_Infrastructures_INFRA_2011_2_3_5_Second_Implementation_Phase_of_the_European_High_Performance_Computing_HPC_service_PRACE_PRACE_2IP_PRACE_Second_Implementation_Phase_Project">SEVENTH FRAMEWORK PROGRAMME Research Infrastructures INFRA-2011-2.3.5 – Second Implementation Phase of the European High Performance Computing (HPC) service PRACE PRACE-2IP PRACE Second Implementation Phase Project</a></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">*-The dissemination level are indicated as follows: PU-Public, PP-Restricted to other participant...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">*-The dissemination level are indicated as follows: PU-Public, PP-Restricted to other participants (including the Commission Services), RE-Restricted to a group specified by the consortium (including the Commission Services). 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We present a method in the one-dimensional case based on the introduction of artificial viscosity into the original equations. With this approach the shock is capture with sharp resolution maintaining high-order accuracy. The ideas for the extension to the two-dimensional case are also set.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="493191a663e9cbeeb15b4764c85ef93b" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":34368353,"asset_id":7879873,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/34368353/download_file?s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="7879873"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="7879873"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 7879873; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=7879873]").text(description); $(".js-view-count[data-work-id=7879873]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 7879873; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='7879873']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-a9bf3a2bc8c89fa2a77156577594264ee8a0f214d74241bc0fcd3f69f8d107ac.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (true){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "493191a663e9cbeeb15b4764c85ef93b" } } $('.js-work-strip[data-work-id=7879873]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":7879873,"title":"SHOCK-CAPTURING WITH DISCONTINUOUS GALERKIN METHODS","translated_title":"","metadata":{"grobid_abstract":"A shock capturing strategy for high order Discontinuous Galerkin methods for conservation laws is proposed. 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The ideas for the extension to the two-dimensional case are also set.","grobid_abstract_attachment_id":34368353},"translated_abstract":null,"internal_url":"https://www.academia.edu/7879873/SHOCK_CAPTURING_WITH_DISCONTINUOUS_GALERKIN_METHODS","translated_internal_url":"","created_at":"2014-08-05T01:50:50.122-07:00","preview_url":null,"current_user_can_edit":null,"current_user_is_owner":null,"owner_id":14723476,"coauthors_can_edit":true,"document_type":"paper","co_author_tags":[],"downloadable_attachments":[{"id":34368353,"title":"","file_type":"pdf","scribd_thumbnail_url":"https://attachments.academia-assets.com/34368353/thumbnails/1.jpg","file_name":"acta13.pdf","download_url":"https://www.academia.edu/attachments/34368353/download_file","bulk_download_file_name":"SHOCK_CAPTURING_WITH_DISCONTINUOUS_GALER.pdf","bulk_download_url":"https://d1wqtxts1xzle7.cloudfront.net/34368353/acta13-libre.pdf?1407228699=\u0026response-content-disposition=attachment%3B+filename%3DSHOCK_CAPTURING_WITH_DISCONTINUOUS_GALER.pdf\u0026Expires=1744022477\u0026Signature=e3jAXiqaAQv~gwNQfASUsebErOXGCJmTidTsK4qEWCvXuHLLSMMctOPkgq~oCrqURozeZJWW5rJdJ81PyuSHk8DzKN3A2P38EEHEUdE16BdYBo1yYEGCLLFkGcpmdmDec6Vo~QzZoi6BlmwGe2bOTs1GB~MHi6Mnd1oQ4X4RfoTh9iNlPWMdMH0MCC-k5lLRdp5PR8cJnRLo7IANbP1OHrFVW8lto3ZmXsT~H0ZXnHX8j2FAOzsZnb5KDwEx4J2tIbFhnT~CMCvtNjpa9ySBKMZQxifdzFpDRSUWs6Z0MSrAl78lyPpDizpLgodxOstPfWIthN~3bB2XndtvHtwv2w__\u0026Key-Pair-Id=APKAJLOHF5GGSLRBV4ZA"}],"slug":"SHOCK_CAPTURING_WITH_DISCONTINUOUS_GALERKIN_METHODS","translated_slug":"","page_count":10,"language":"en","content_type":"Work","summary":"A shock capturing strategy for high order Discontinuous Galerkin methods for conservation laws is proposed. We present a method in the one-dimensional case based on the introduction of artificial viscosity into the original equations. With this approach the shock is capture with sharp resolution maintaining high-order accuracy. The ideas for the extension to the two-dimensional case are also set.","impression_tracking_id":null,"owner":{"id":14723476,"first_name":"Eva","middle_initials":null,"last_name":"Casoni","page_name":"EvaCasoni","domain_name":"upc","created_at":"2014-08-05T01:49:49.417-07:00","display_name":"Eva Casoni","url":"https://upc.academia.edu/EvaCasoni"},"attachments":[{"id":34368353,"title":"","file_type":"pdf","scribd_thumbnail_url":"https://attachments.academia-assets.com/34368353/thumbnails/1.jpg","file_name":"acta13.pdf","download_url":"https://www.academia.edu/attachments/34368353/download_file","bulk_download_file_name":"SHOCK_CAPTURING_WITH_DISCONTINUOUS_GALER.pdf","bulk_download_url":"https://d1wqtxts1xzle7.cloudfront.net/34368353/acta13-libre.pdf?1407228699=\u0026response-content-disposition=attachment%3B+filename%3DSHOCK_CAPTURING_WITH_DISCONTINUOUS_GALER.pdf\u0026Expires=1744022477\u0026Signature=e3jAXiqaAQv~gwNQfASUsebErOXGCJmTidTsK4qEWCvXuHLLSMMctOPkgq~oCrqURozeZJWW5rJdJ81PyuSHk8DzKN3A2P38EEHEUdE16BdYBo1yYEGCLLFkGcpmdmDec6Vo~QzZoi6BlmwGe2bOTs1GB~MHi6Mnd1oQ4X4RfoTh9iNlPWMdMH0MCC-k5lLRdp5PR8cJnRLo7IANbP1OHrFVW8lto3ZmXsT~H0ZXnHX8j2FAOzsZnb5KDwEx4J2tIbFhnT~CMCvtNjpa9ySBKMZQxifdzFpDRSUWs6Z0MSrAl78lyPpDizpLgodxOstPfWIthN~3bB2XndtvHtwv2w__\u0026Key-Pair-Id=APKAJLOHF5GGSLRBV4ZA"},{"id":34368354,"title":"","file_type":"pdf","scribd_thumbnail_url":"https://attachments.academia-assets.com/34368354/thumbnails/1.jpg","file_name":"acta13.pdf","download_url":"https://www.academia.edu/attachments/34368354/download_file","bulk_download_file_name":"SHOCK_CAPTURING_WITH_DISCONTINUOUS_GALER.pdf","bulk_download_url":"https://d1wqtxts1xzle7.cloudfront.net/34368354/acta13-libre.pdf?1407228665=\u0026response-content-disposition=attachment%3B+filename%3DSHOCK_CAPTURING_WITH_DISCONTINUOUS_GALER.pdf\u0026Expires=1744022477\u0026Signature=SLuRPsArVyGzsf9y7iUbveZ3e7XqgHK1J-P8t4ancG8L-5VLBHNCKxPLXBHTi36TOHS2YcLg6iz~hqBX3SJ5i4GZAEQRiM-GsVFDP~KCG8pAXeH3loVMlHwsHBZPRm1i8fex2OS~6SiY~HbqWG6dS8mPOifVyuLcFSHiDs2cC2eZvEYt3ZI99z~zww60q3YTUdXxtdYav22M2LgZkiXhu8dxbWNEx~eL6FwEehsX9glYvgm3nmAChbpVQdzz2A3IFouaPn9a8ctCPUNWPHo-KYPMGKQ9XVQw0oSEDjRxG9Rm0rLWqVeXylL7FL9Jx-iBvlM1IZUFSNoewLkhIP5MVg__\u0026Key-Pair-Id=APKAJLOHF5GGSLRBV4ZA"}],"research_interests":[{"id":96281,"name":"Applied mathematics and Modelling","url":"https://www.academia.edu/Documents/in/Applied_mathematics_and_Modelling"}],"urls":[{"id":3291676,"url":"http://upcommons.upc.edu/revistes/bitstream/2099/7814/1/acta13.pdf"}]}, dispatcherData: dispatcherData }); $(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") if (false) { Aedu.setUpFigureCarousel('profile-work-7879873-figures'); } }); </script> <div class="js-work-strip profile--work_container" data-work-id="7879872"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/7879872/Discontinuous_Galerkin_Methods_for_elliptic_problems"><img alt="Research paper thumbnail of Discontinuous Galerkin Methods for elliptic problems" class="work-thumbnail" src="https://attachments.academia-assets.com/48304747/thumbnails/1.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/7879872/Discontinuous_Galerkin_Methods_for_elliptic_problems">Discontinuous Galerkin Methods for elliptic problems</a></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">This paper is a short essay on discontinuous Galerkin methods intended for a very wide audience. ...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">This paper is a short essay on discontinuous Galerkin methods intended for a very wide audience. We present the discontinuous Galerkin methods and describe and discuss their main features. Since the methods use completely discontinuous approximations, they produce mass matrices that are block-diagonal. This renders the methods highly parallelizable when applied to hyperbolic problems. Another consequence of the use of discontinuous approximations is that these methods can easily handle irregular meshes with hanging nodes and approximations that have polynomials of different degrees in different elements. They are thus ideal for use with adaptive algorithms. Moreover, the methods are locally conservative (a property highly valued by the computational fluid dynamics community) and, in spite of providing discontinuous approximations, stable, and high-order accurate. Even more, when applied to non-linear hyperbolic problems, the discontinuous Galerkin methods are able to capture highly complex solutions presenting discontinuities with high resolution. In this paper, we concentrate on the exposition of the ideas behind the devising of these methods as well as on the mechanisms that allow them to perform so well in such a variety of problems.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="863070471e357f62b72678148aa73177" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":48304747,"asset_id":7879872,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/48304747/download_file?s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="7879872"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="7879872"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 7879872; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=7879872]").text(description); $(".js-view-count[data-work-id=7879872]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 7879872; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='7879872']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-a9bf3a2bc8c89fa2a77156577594264ee8a0f214d74241bc0fcd3f69f8d107ac.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (true){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "863070471e357f62b72678148aa73177" } } $('.js-work-strip[data-work-id=7879872]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":7879872,"title":"Discontinuous Galerkin Methods for elliptic problems","translated_title":"","metadata":{"grobid_abstract":"This paper is a short essay on discontinuous Galerkin methods intended for a very wide audience. We present the discontinuous Galerkin methods and describe and discuss their main features. Since the methods use completely discontinuous approximations, they produce mass matrices that are block-diagonal. This renders the methods highly parallelizable when applied to hyperbolic problems. Another consequence of the use of discontinuous approximations is that these methods can easily handle irregular meshes with hanging nodes and approximations that have polynomials of different degrees in different elements. They are thus ideal for use with adaptive algorithms. Moreover, the methods are locally conservative (a property highly valued by the computational fluid dynamics community) and, in spite of providing discontinuous approximations, stable, and high-order accurate. Even more, when applied to non-linear hyperbolic problems, the discontinuous Galerkin methods are able to capture highly complex solutions presenting discontinuities with high resolution. In this paper, we concentrate on the exposition of the ideas behind the devising of these methods as well as on the mechanisms that allow them to perform so well in such a variety of problems.","publication_date":{"day":null,"month":null,"year":1998,"errors":{}},"grobid_abstract_attachment_id":48304747},"translated_abstract":null,"internal_url":"https://www.academia.edu/7879872/Discontinuous_Galerkin_Methods_for_elliptic_problems","translated_internal_url":"","created_at":"2014-08-05T01:50:49.993-07:00","preview_url":null,"current_user_can_edit":null,"current_user_is_owner":null,"owner_id":14723476,"coauthors_can_edit":true,"document_type":"paper","co_author_tags":[],"downloadable_attachments":[{"id":48304747,"title":"","file_type":"pdf","scribd_thumbnail_url":"https://attachments.academia-assets.com/48304747/thumbnails/1.jpg","file_name":"Discontinuous_Galerkin_method20160825-12275-mkd99h.pdf","download_url":"https://www.academia.edu/attachments/48304747/download_file","bulk_download_file_name":"Discontinuous_Galerkin_Methods_for_ellip.pdf","bulk_download_url":"https://d1wqtxts1xzle7.cloudfront.net/48304747/Discontinuous_Galerkin_method20160825-12275-mkd99h-libre.pdf?1472121592=\u0026response-content-disposition=attachment%3B+filename%3DDiscontinuous_Galerkin_Methods_for_ellip.pdf\u0026Expires=1744022477\u0026Signature=NoXGsmYAXAJ02UB9ksmhzHatBAZiv9E2LO2FJ8ybDemnjGWIJhnqX40r0Fi605-O4gW15A3O21zx6xKHstgeDcQFeWA9RyO47loEVWTGe965tAmeVjsU8MBa1D7yP6cFhhtSfDKGsVcV5-wg88K7esciYLG8MV5O2kSnFe2OUiWKb7N9OuBw3FZVJ9M92cuCnNTGmbqqUDf9tGfnadbgpv4zdOGXOgcr3AehIeiymeQZvZBKkmwUcnP7HQPomKrudOOo11GqCic5JnUtadu8ll6JlNpI1XnzRyVvIT2gRlyL9PxPLF~zRUCoGe8syUf0QTjOAvh1dVk7EgvfqgcLFg__\u0026Key-Pair-Id=APKAJLOHF5GGSLRBV4ZA"}],"slug":"Discontinuous_Galerkin_Methods_for_elliptic_problems","translated_slug":"","page_count":25,"language":"en","content_type":"Work","summary":"This paper is a short essay on discontinuous Galerkin methods intended for a very wide audience. We present the discontinuous Galerkin methods and describe and discuss their main features. Since the methods use completely discontinuous approximations, they produce mass matrices that are block-diagonal. This renders the methods highly parallelizable when applied to hyperbolic problems. Another consequence of the use of discontinuous approximations is that these methods can easily handle irregular meshes with hanging nodes and approximations that have polynomials of different degrees in different elements. They are thus ideal for use with adaptive algorithms. Moreover, the methods are locally conservative (a property highly valued by the computational fluid dynamics community) and, in spite of providing discontinuous approximations, stable, and high-order accurate. Even more, when applied to non-linear hyperbolic problems, the discontinuous Galerkin methods are able to capture highly complex solutions presenting discontinuities with high resolution. In this paper, we concentrate on the exposition of the ideas behind the devising of these methods as well as on the mechanisms that allow them to perform so well in such a variety of problems.","impression_tracking_id":null,"owner":{"id":14723476,"first_name":"Eva","middle_initials":null,"last_name":"Casoni","page_name":"EvaCasoni","domain_name":"upc","created_at":"2014-08-05T01:49:49.417-07:00","display_name":"Eva Casoni","url":"https://upc.academia.edu/EvaCasoni"},"attachments":[{"id":48304747,"title":"","file_type":"pdf","scribd_thumbnail_url":"https://attachments.academia-assets.com/48304747/thumbnails/1.jpg","file_name":"Discontinuous_Galerkin_method20160825-12275-mkd99h.pdf","download_url":"https://www.academia.edu/attachments/48304747/download_file","bulk_download_file_name":"Discontinuous_Galerkin_Methods_for_ellip.pdf","bulk_download_url":"https://d1wqtxts1xzle7.cloudfront.net/48304747/Discontinuous_Galerkin_method20160825-12275-mkd99h-libre.pdf?1472121592=\u0026response-content-disposition=attachment%3B+filename%3DDiscontinuous_Galerkin_Methods_for_ellip.pdf\u0026Expires=1744022477\u0026Signature=NoXGsmYAXAJ02UB9ksmhzHatBAZiv9E2LO2FJ8ybDemnjGWIJhnqX40r0Fi605-O4gW15A3O21zx6xKHstgeDcQFeWA9RyO47loEVWTGe965tAmeVjsU8MBa1D7yP6cFhhtSfDKGsVcV5-wg88K7esciYLG8MV5O2kSnFe2OUiWKb7N9OuBw3FZVJ9M92cuCnNTGmbqqUDf9tGfnadbgpv4zdOGXOgcr3AehIeiymeQZvZBKkmwUcnP7HQPomKrudOOo11GqCic5JnUtadu8ll6JlNpI1XnzRyVvIT2gRlyL9PxPLF~zRUCoGe8syUf0QTjOAvh1dVk7EgvfqgcLFg__\u0026Key-Pair-Id=APKAJLOHF5GGSLRBV4ZA"}],"research_interests":[{"id":305,"name":"Applied Mathematics","url":"https://www.academia.edu/Documents/in/Applied_Mathematics"}],"urls":[{"id":3291675,"url":"http://www-lacan.upc.edu/old/seminars/abstracts05_06/RSC_ECR.pdf"}]}, dispatcherData: dispatcherData }); $(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") if (false) { Aedu.setUpFigureCarousel('profile-work-7879872-figures'); } }); </script> <div class="js-work-strip profile--work_container" data-work-id="7879870"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" rel="nofollow" href="https://www.academia.edu/7879870/One_Dimensional_Shock_Capturing_for_High_Order_Discontinuous_Galerkin_Methods"><img alt="Research paper thumbnail of One-Dimensional Shock-Capturing for High-Order Discontinuous Galerkin Methods" class="work-thumbnail" src="https://a.academia-assets.com/images/blank-paper.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title">One-Dimensional Shock-Capturing for High-Order Discontinuous Galerkin Methods</div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">Discontinuous Galerkin methods have emerged in recent years as a reasonable alternative for nonli...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">Discontinuous Galerkin methods have emerged in recent years as a reasonable alternative for nonlinear conservation equations. In particular, their inherent structure (the need of a numerical flux based on a suitable approximate Riemann solver which in practice introduces some stabilization) seem to suggest that they are specially adapted to capture shocks. however, the usual numerical fluxes are not sufficient to stabilize the solution in the presence of shocks for high-order discontinuous Galerkin. Thus, slope-limiter methods, which are extensions of finite volume methods, have been proposed for high-order approximations. Here it is shown that these techniques require mesh adaption and a new approach based on the introduction of artificial diffusion into the original equations is presented. The order is not systematically decreased to one in the presence of the shock, large high-order elements can be used, and several linear and nonlinear tests demonstrate the efficiency of the proposed methodology.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="7879870"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="7879870"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 7879870; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=7879870]").text(description); $(".js-view-count[data-work-id=7879870]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 7879870; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='7879870']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-a9bf3a2bc8c89fa2a77156577594264ee8a0f214d74241bc0fcd3f69f8d107ac.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (false){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "-1" } } $('.js-work-strip[data-work-id=7879870]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":7879870,"title":"One-Dimensional Shock-Capturing for High-Order Discontinuous Galerkin Methods","translated_title":"","metadata":{"abstract":"Discontinuous Galerkin methods have emerged in recent years as a reasonable alternative for nonlinear conservation equations. In particular, their inherent structure (the need of a numerical flux based on a suitable approximate Riemann solver which in practice introduces some stabilization) seem to suggest that they are specially adapted to capture shocks. however, the usual numerical fluxes are not sufficient to stabilize the solution in the presence of shocks for high-order discontinuous Galerkin. Thus, slope-limiter methods, which are extensions of finite volume methods, have been proposed for high-order approximations. Here it is shown that these techniques require mesh adaption and a new approach based on the introduction of artificial diffusion into the original equations is presented. The order is not systematically decreased to one in the presence of the shock, large high-order elements can be used, and several linear and nonlinear tests demonstrate the efficiency of the proposed methodology."},"translated_abstract":"Discontinuous Galerkin methods have emerged in recent years as a reasonable alternative for nonlinear conservation equations. In particular, their inherent structure (the need of a numerical flux based on a suitable approximate Riemann solver which in practice introduces some stabilization) seem to suggest that they are specially adapted to capture shocks. however, the usual numerical fluxes are not sufficient to stabilize the solution in the presence of shocks for high-order discontinuous Galerkin. Thus, slope-limiter methods, which are extensions of finite volume methods, have been proposed for high-order approximations. Here it is shown that these techniques require mesh adaption and a new approach based on the introduction of artificial diffusion into the original equations is presented. The order is not systematically decreased to one in the presence of the shock, large high-order elements can be used, and several linear and nonlinear tests demonstrate the efficiency of the proposed methodology.","internal_url":"https://www.academia.edu/7879870/One_Dimensional_Shock_Capturing_for_High_Order_Discontinuous_Galerkin_Methods","translated_internal_url":"","created_at":"2014-08-05T01:50:49.834-07:00","preview_url":null,"current_user_can_edit":null,"current_user_is_owner":null,"owner_id":14723476,"coauthors_can_edit":true,"document_type":"paper","co_author_tags":[],"downloadable_attachments":[],"slug":"One_Dimensional_Shock_Capturing_for_High_Order_Discontinuous_Galerkin_Methods","translated_slug":"","page_count":null,"language":"en","content_type":"Work","summary":"Discontinuous Galerkin methods have emerged in recent years as a reasonable alternative for nonlinear conservation equations. In particular, their inherent structure (the need of a numerical flux based on a suitable approximate Riemann solver which in practice introduces some stabilization) seem to suggest that they are specially adapted to capture shocks. however, the usual numerical fluxes are not sufficient to stabilize the solution in the presence of shocks for high-order discontinuous Galerkin. Thus, slope-limiter methods, which are extensions of finite volume methods, have been proposed for high-order approximations. Here it is shown that these techniques require mesh adaption and a new approach based on the introduction of artificial diffusion into the original equations is presented. 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In particular, their inherent structure (the need of a numerical flux based on a suitable approximate Riemann solver which in practice introduces some stabilization) seem to suggest that they are specially adapted to capture shocks. however, the usual numerical fluxes are not sufficient to stabilize the solution in the presence of shocks for high-order discontinuous Galerkin. Thus, slope-limiter methods, which are extensions of finite volume methods, have been proposed for high-order approximations. Here it is shown that these techniques require mesh adaption and a new approach based on the introduction of artificial diffusion into the original equations is presented. The order is not systematically decreased to one in the presence of the shock, large high-order elements can be used, and several linear and nonlinear tests demonstrate the efficiency of the proposed methodology.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="e630c43b8ced73ba657664de646cda88" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":34368346,"asset_id":7879869,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/34368346/download_file?s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="7879869"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="7879869"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 7879869; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=7879869]").text(description); $(".js-view-count[data-work-id=7879869]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 7879869; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='7879869']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-a9bf3a2bc8c89fa2a77156577594264ee8a0f214d74241bc0fcd3f69f8d107ac.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (true){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "e630c43b8ced73ba657664de646cda88" } } $('.js-work-strip[data-work-id=7879869]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":7879869,"title":"ECCOMAS-JUBILEE-HUERTA","translated_title":"","metadata":{"grobid_abstract":"Discontinuous Galerkin methods have emerged in recent years as a reasonable alternative for nonlinear conservation equations. 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