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Ideen Sadrehaghighi | Old Dominion University - Academia.edu
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data-work-id="104218782"><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/104218782/Fan_Airflow"><img alt="Research paper thumbnail of Fan Airflow" class="work-thumbnail" src="https://attachments.academia-assets.com/104006058/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/104218782/Fan_Airflow">Fan Airflow</a></div><div class="wp-workCard_item"><span>CFD Open Series</span><span>, 2023</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="0b4b796f60800658132b8950417d8710" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" 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dispatcherData }); $(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="103993600"><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/103993600/Axial_Turbomachinery_Rotor_Stator_Treatment_RST_"><img alt="Research paper thumbnail of Axial Turbomachinery Rotor/Stator Treatment (RST)" class="work-thumbnail" src="https://attachments.academia-assets.com/103845687/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/103993600/Axial_Turbomachinery_Rotor_Stator_Treatment_RST_">Axial Turbomachinery Rotor/Stator Treatment (RST)</a></div><div class="wp-workCard_item"><span>CFD Open Series</span><span>, 2023</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="de75d469f5c5318a802e3fd01c6ae0cd" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":103845687,"asset_id":103993600,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/103845687/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="103993600"><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 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Wings (including Case Studies)</a></div><div class="wp-workCard_item"><span>CFD Open Series</span><span>, 2023</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="51d127413aa6003003648dcfbb55eed1" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":103338129,"asset_id":98493003,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/103338129/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="98493003"><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 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Open Series</span><span>, 2023</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">Numerical calculations on four blade passages are done using Q3D Navier-Stokes solver with a simp...</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">Numerical calculations on four blade passages are done using Q3D Navier-Stokes solver with a simple mixing length turbulence model and two more advanced transport-equation approaches. Mixing length is simple and cheap but crude, while more sophisticated transport approaches are more physical but more expensive. Predicted results using different turbulent models are discussed and compared with the laminar flow and well documented experimental results. Studies show that the model with more transport-equation predicts improved result as it includes the effects of upstream history into the velocity scale.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="8e0d13ca9aa24261e293cc9189cb1961" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":98301267,"asset_id":96265302,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/98301267/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="96265302"><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="96265302"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 96265302; 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As the solution proce...</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">In the adaptive mesh refinement technique we start with a base coarse grid. As the solution proceeds we identify the regions requiring more resolution by some parameter characterizing the solution, say the local truncation error. We superimpose finer sub grids only on these regions. Finer and finer sub grids are added recursively until either a given maximum level of refinement is reached or the local truncation error has dropped below the desired level. 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The governing equations are solved directly on a grid in their simplest form by means of very efficient numerical schemes. The grid generator detects the cell faces that are cut by the body surface and divides the cells into three types: solid and fluid cells, whose centers lie within the body and within the fluid, respectively; and fluid/solid interface cells, which have at least one of their neighbors inside the body/fluid. 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$(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="83498487"><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/83498487/Lattice_Boltzmann_Method_LBM_"><img alt="Research paper thumbnail of Lattice Boltzmann Method (LBM)" class="work-thumbnail" src="https://attachments.academia-assets.com/95327635/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/83498487/Lattice_Boltzmann_Method_LBM_">Lattice Boltzmann Method (LBM)</a></div><div class="wp-workCard_item"><span>CFD Open Series</span><span>, 2022</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">Lattice Boltzmann Methods (LBM) or Thermal Lattice Boltzmann Methods (TLBM) is a CFD methods for ...</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">Lattice Boltzmann Methods (LBM) or Thermal Lattice Boltzmann Methods (TLBM) is a CFD methods for fluid simulation. Instead of solving the Navier–Stokes equations, the discrete Boltzmann equation is solved to simulate the flow of a Newtonian fluid with collision models such as Bhatnagar–Gross–Krook (BGK). By simulating streaming and collision processes across a limited number of particles, the intrinsic particle interactions evince a microcosm of viscous flow behavior applicable across the greater mass1. It is a modern approach in Computational Fluid Dynamics and often used to solve the incompressible, time-dependent Navier-Stokes equations numerically. 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$(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="82024401"><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/82024401/Components_of_an_Axial_Gas_Turbine_Engine"><img alt="Research paper thumbnail of Components of an Axial Gas Turbine Engine" class="work-thumbnail" src="https://attachments.academia-assets.com/104007093/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/82024401/Components_of_an_Axial_Gas_Turbine_Engine">Components of an Axial Gas Turbine Engine</a></div><div class="wp-workCard_item"><span>CFD Open Series</span><span>, 2023</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="e3a7a575ae82ecbc7e27879e3804c86a" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":104007093,"asset_id":82024401,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/104007093/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="82024401"><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="82024401"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 82024401; 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$(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="81892294"><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/81892294/Turbo_Machinerys_Stage_Design_and_Optimization_via_Case_Studies"><img alt="Research paper thumbnail of Turbo-Machinery's Stage Design & Optimization via Case Studies" class="work-thumbnail" src="https://attachments.academia-assets.com/97700895/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/81892294/Turbo_Machinerys_Stage_Design_and_Optimization_via_Case_Studies">Turbo-Machinery's Stage Design & Optimization via Case Studies</a></div><div class="wp-workCard_item"><span>CFD Open Series</span><span>, 2023</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">This note is intended for all undergraduate, graduate, and scholars of Turbomachinery. It is not ...</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 note is intended for all undergraduate, graduate, and scholars of Turbomachinery. It is not completed and never claims to be as such. Therefore, all the comments are greatly appreciated. In assembling that, I was influenced with sources from my textbooks, papers, and materials that I deemed to be important. At best, it could be used as a reference. I also would like to express my appreciation to several people who have given thoughts and time to the development of this article. Special thanks should be forwarded to the authors whose papers seemed relevant to topics, and consequently, it appears here ©. Finally I would like to thank my wife, Sudabeh for her understanding and the hours she relinquished to me. Their continuous support and encouragement are greatly appreciated.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="3011dcdf72ee71d451236557d8de4059" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":97700895,"asset_id":81892294,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/97700895/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="81892294"><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="81892294"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 81892294; 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$(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="71481592"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/71481592/Convergence_Acceleration_through_Multigrid_Methods"><img alt="Research paper thumbnail of Convergence Acceleration through Multigrid Methods" class="work-thumbnail" src="https://attachments.academia-assets.com/95425207/thumbnails/1.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/71481592/Convergence_Acceleration_through_Multigrid_Methods">Convergence Acceleration through Multigrid Methods</a></div><div class="wp-workCard_item"><span>CFD Open Series</span><span>, 2022</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">Multigrid methods are effective techniques that can deliver fast convergence rates with minimal m...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">Multigrid methods are effective techniques that can deliver fast convergence rates with minimal memory overheads. 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$(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="71445780"><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/71445780/Ansitropic_Meshing"><img alt="Research paper thumbnail of Ansitropic Meshing" class="work-thumbnail" src="https://attachments.academia-assets.com/88190256/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/71445780/Ansitropic_Meshing">Ansitropic Meshing</a></div><div class="wp-workCard_item"><span>CFD Open Series</span><span>, 2022</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">Anisotropic meshes are desirable for various applications, such as the numerical solving of parti...</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">Anisotropic meshes are desirable for various applications, such as the numerical solving of partial differential equations and graphics. From an equivalent point of view, the use of meshes whose elements are stretched according to the anisotropy requires a lower number of elements to achieve the same precision of the result of the simulation. When stretched elements are used, the mesh is said to be Anisotropic. Additionally to providing increased accuracy in the simulations of scientific modeling, anisotropic meshes also find use in geometric modeling as they can improve the visualization of objects, and lower the number of vertices required to represent a shape or interpolate a smooth function. By requiring fewer elements, anisotropic meshes thus provide another way to accelerate mesh generation, and increase the quality and the speed of computations.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="f7f51f5640a2687f0d0ced6c15f1161f" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":88190256,"asset_id":71445780,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/88190256/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="71445780"><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="71445780"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 71445780; 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$(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="69716345"><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/69716345/Computer_Aided_Design_CAD_"><img alt="Research paper thumbnail of Computer Aided Design (CAD)" class="work-thumbnail" src="https://attachments.academia-assets.com/79705537/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/69716345/Computer_Aided_Design_CAD_">Computer Aided Design (CAD)</a></div><div class="wp-workCard_item"><span>CFD Open Series</span><span>, 2022</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">Computer-Aided Design (CAD) is the use of computer systems (or workstations) to aid in the creati...</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">Computer-Aided Design (CAD) is the use of computer systems (or workstations) to aid in the creation, modification, analysis, or optimization of a design. CAD software is used to increase the productivity of the designer, improve the quality of design, improve communications through documentation, and to create a database for manufacturing. CAD output is often in the form of electronic files for print, machining, or other manufacturing operations. The term CADD (for Computer Aided Design and Drafting) is also used. CAD may be used to design curves and figures in two-dimensional (2D) space; or curves, surfaces, and solids in three-dimensional (3D) space. CAD is an important industrial art extensively used in many applications, including automotive, shipbuilding, and aerospace industries, industrial and architectural design, prosthetics, and many more. CAD is also widely used to produce computer animation for special effects in movies, advertising and technical manuals, often called DCC digital content creation. The modern ubiquity and power of computers means that even perfume bottles and shampoo dispensers are designed using techniques unheard of by engineers of the 1960s. Because of its enormous economic importance, CAD has been a major driving force for research in computational geometry, computer graphics (both hardware and software), and discrete differential geometry.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="0331a4a780c1d2d7752e672d8fed9d43" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":79705537,"asset_id":69716345,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/79705537/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="69716345"><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="69716345"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 69716345; 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$(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="54449322"><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/54449322/Aircraft_Conceptual_Design_Practices_and_Case_Studies"><img alt="Research paper thumbnail of Aircraft Conceptual Design Practices & Case Studies" class="work-thumbnail" src="https://attachments.academia-assets.com/98082027/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/54449322/Aircraft_Conceptual_Design_Practices_and_Case_Studies">Aircraft Conceptual Design Practices & Case Studies</a></div><div class="wp-workCard_item"><span>CFD OpenSeries</span><span>, 2023</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">A Mach 0.93 Blended-Wing-Body (BWB) configuration was developed using CFL3DV6, a Navier-Stokes co...</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">A Mach 0.93 Blended-Wing-Body (BWB) configuration was developed using CFL3DV6, a Navier-Stokes computational fluid dynamics (CFD) code, in conjunction with the Wing Multidisciplinary Optimization Design (WingMOD) code, to determine the feasibility of BWB aircraft at high subsonic speeds. Excluding an assessment of propulsion airframe interference, the results show that a Mach 0.93 BWB is feasible, although it pays a performance penalty relative to Mach 0.85 designs. A Mach 0.90 BWB may be the best solution in terms of offering improved speed with minimal performance penalty. 2.1.2 2.2 Case Study 2-Changing the Role of CFD in Aircraft Development</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="1a1c0a7f22f600e7cedd26526ccfbfdb" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":98082027,"asset_id":54449322,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/98082027/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="54449322"><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="54449322"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 54449322; 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$(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="97319225"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/97319225/CFD_Basics"><img alt="Research paper thumbnail of CFD Basics" class="work-thumbnail" src="https://attachments.academia-assets.com/102937054/thumbnails/1.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/97319225/CFD_Basics">CFD Basics</a></div><div class="wp-workCard_item"><span>CFD Open Series</span><span>, 2023</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="12fcc1cdc7ec49997cc9a2607e73d7c0" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":102937054,"asset_id":97319225,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/102937054/download_file?s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="97319225"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="97319225"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 97319225; 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$(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="96265302"><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/96265302/Turbulence_Considerations_in_Turbomachinery"><img alt="Research paper thumbnail of Turbulence Considerations in Turbomachinery" class="work-thumbnail" src="https://attachments.academia-assets.com/98301267/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/96265302/Turbulence_Considerations_in_Turbomachinery">Turbulence Considerations in Turbomachinery</a></div><div class="wp-workCard_item"><span>CFD Open Series</span><span>, 2023</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">Numerical calculations on four blade passages are done using Q3D Navier-Stokes solver with a simp...</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">Numerical calculations on four blade passages are done using Q3D Navier-Stokes solver with a simple mixing length turbulence model and two more advanced transport-equation approaches. Mixing length is simple and cheap but crude, while more sophisticated transport approaches are more physical but more expensive. Predicted results using different turbulent models are discussed and compared with the laminar flow and well documented experimental results. Studies show that the model with more transport-equation predicts improved result as it includes the effects of upstream history into the velocity scale.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="8e0d13ca9aa24261e293cc9189cb1961" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":98301267,"asset_id":96265302,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/98301267/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="96265302"><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="96265302"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 96265302; 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$(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="83546797"><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/83546797/Case_Studies_of_Immersed_Boundary_Method_IBM_on_Cartesian_Mesh"><img alt="Research paper thumbnail of Case Studies of Immersed Boundary Method (IBM) on Cartesian Mesh" class="work-thumbnail" src="https://attachments.academia-assets.com/90611325/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/83546797/Case_Studies_of_Immersed_Boundary_Method_IBM_on_Cartesian_Mesh">Case Studies of Immersed Boundary Method (IBM) on Cartesian Mesh</a></div><div class="wp-workCard_item"><span>CFD Open Series</span><span>, 2022</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">The immersed boundaries (IB) method allows one to greatly simplify the grid generation and even t...</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 immersed boundaries (IB) method allows one to greatly simplify the grid generation and even to automate it completely. The governing equations are solved directly on a grid in their simplest form by means of very efficient numerical schemes. The grid generator detects the cell faces that are cut by the body surface and divides the cells into three types: solid and fluid cells, whose centers lie within the body and within the fluid, respectively; and fluid/solid interface cells, which have at least one of their neighbors inside the body/fluid. 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$(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="83498487"><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/83498487/Lattice_Boltzmann_Method_LBM_"><img alt="Research paper thumbnail of Lattice Boltzmann Method (LBM)" class="work-thumbnail" src="https://attachments.academia-assets.com/95327635/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/83498487/Lattice_Boltzmann_Method_LBM_">Lattice Boltzmann Method (LBM)</a></div><div class="wp-workCard_item"><span>CFD Open Series</span><span>, 2022</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">Lattice Boltzmann Methods (LBM) or Thermal Lattice Boltzmann Methods (TLBM) is a CFD methods for ...</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">Lattice Boltzmann Methods (LBM) or Thermal Lattice Boltzmann Methods (TLBM) is a CFD methods for fluid simulation. Instead of solving the Navier–Stokes equations, the discrete Boltzmann equation is solved to simulate the flow of a Newtonian fluid with collision models such as Bhatnagar–Gross–Krook (BGK). By simulating streaming and collision processes across a limited number of particles, the intrinsic particle interactions evince a microcosm of viscous flow behavior applicable across the greater mass1. It is a modern approach in Computational Fluid Dynamics and often used to solve the incompressible, time-dependent Navier-Stokes equations numerically. Its strength lies however in the ability to easily represent complex physical phenomena, ranging from multiphase flows to chemical interactions between the fluid and the surroundings.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="352583f6bd2879abba1883e6167b69f3" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":95327635,"asset_id":83498487,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/95327635/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="83498487"><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="83498487"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 83498487; 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$(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="82830113"><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/82830113/Optimization_Problem"><img alt="Research paper thumbnail of Optimization Problem" class="work-thumbnail" src="https://attachments.academia-assets.com/95917551/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/82830113/Optimization_Problem">Optimization Problem</a></div><div class="wp-workCard_item"><span>CFD Open Series</span><span>, 2022</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">In mathematics and computer science, an optimization problem is the problem of finding the best s...</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">In mathematics and computer science, an optimization problem is the problem of finding the best solution from all feasible solutions. In the simplest terms, an optimization problem consists of maximizing or minimizing a real function by systematically choosing input values from within an allowed set and computing the value of the function.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="5783b90117190b491dc6234a96bd1fac" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":95917551,"asset_id":82830113,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/95917551/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="82830113"><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="82830113"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 82830113; 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$(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="81892294"><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/81892294/Turbo_Machinerys_Stage_Design_and_Optimization_via_Case_Studies"><img alt="Research paper thumbnail of Turbo-Machinery's Stage Design & Optimization via Case Studies" class="work-thumbnail" src="https://attachments.academia-assets.com/97700895/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/81892294/Turbo_Machinerys_Stage_Design_and_Optimization_via_Case_Studies">Turbo-Machinery's Stage Design & Optimization via Case Studies</a></div><div class="wp-workCard_item"><span>CFD Open Series</span><span>, 2023</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">This note is intended for all undergraduate, graduate, and scholars of Turbomachinery. It is not ...</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 note is intended for all undergraduate, graduate, and scholars of Turbomachinery. It is not completed and never claims to be as such. Therefore, all the comments are greatly appreciated. In assembling that, I was influenced with sources from my textbooks, papers, and materials that I deemed to be important. At best, it could be used as a reference. I also would like to express my appreciation to several people who have given thoughts and time to the development of this article. Special thanks should be forwarded to the authors whose papers seemed relevant to topics, and consequently, it appears here ©. Finally I would like to thank my wife, Sudabeh for her understanding and the hours she relinquished to me. Their continuous support and encouragement are greatly appreciated.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="3011dcdf72ee71d451236557d8de4059" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":97700895,"asset_id":81892294,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/97700895/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="81892294"><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="81892294"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 81892294; 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$(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="71481592"><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/71481592/Convergence_Acceleration_through_Multigrid_Methods"><img alt="Research paper thumbnail of Convergence Acceleration through Multigrid Methods" class="work-thumbnail" src="https://attachments.academia-assets.com/95425207/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/71481592/Convergence_Acceleration_through_Multigrid_Methods">Convergence Acceleration through Multigrid Methods</a></div><div class="wp-workCard_item"><span>CFD Open Series</span><span>, 2022</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">Multigrid methods are effective techniques that can deliver fast convergence rates with minimal m...</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">Multigrid methods are effective techniques that can deliver fast convergence rates with minimal memory overheads. The basic idea of a multigrid method is to accelerate the solution of a set of fine grid equations by time stepping on a sequence of fine and coarse grids using a simple explicit scheme.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="975d654e5c60b3f39a42686dd5929663" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":95425207,"asset_id":71481592,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/95425207/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="71481592"><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="71481592"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 71481592; 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$(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="71445780"><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/71445780/Ansitropic_Meshing"><img alt="Research paper thumbnail of Ansitropic Meshing" class="work-thumbnail" src="https://attachments.academia-assets.com/88190256/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/71445780/Ansitropic_Meshing">Ansitropic Meshing</a></div><div class="wp-workCard_item"><span>CFD Open Series</span><span>, 2022</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">Anisotropic meshes are desirable for various applications, such as the numerical solving of parti...</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">Anisotropic meshes are desirable for various applications, such as the numerical solving of partial differential equations and graphics. From an equivalent point of view, the use of meshes whose elements are stretched according to the anisotropy requires a lower number of elements to achieve the same precision of the result of the simulation. When stretched elements are used, the mesh is said to be Anisotropic. Additionally to providing increased accuracy in the simulations of scientific modeling, anisotropic meshes also find use in geometric modeling as they can improve the visualization of objects, and lower the number of vertices required to represent a shape or interpolate a smooth function. By requiring fewer elements, anisotropic meshes thus provide another way to accelerate mesh generation, and increase the quality and the speed of computations.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="f7f51f5640a2687f0d0ced6c15f1161f" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":88190256,"asset_id":71445780,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/88190256/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="71445780"><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="71445780"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 71445780; 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$(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="69716345"><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/69716345/Computer_Aided_Design_CAD_"><img alt="Research paper thumbnail of Computer Aided Design (CAD)" class="work-thumbnail" src="https://attachments.academia-assets.com/79705537/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/69716345/Computer_Aided_Design_CAD_">Computer Aided Design (CAD)</a></div><div class="wp-workCard_item"><span>CFD Open Series</span><span>, 2022</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">Computer-Aided Design (CAD) is the use of computer systems (or workstations) to aid in the creati...</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">Computer-Aided Design (CAD) is the use of computer systems (or workstations) to aid in the creation, modification, analysis, or optimization of a design. CAD software is used to increase the productivity of the designer, improve the quality of design, improve communications through documentation, and to create a database for manufacturing. CAD output is often in the form of electronic files for print, machining, or other manufacturing operations. The term CADD (for Computer Aided Design and Drafting) is also used. CAD may be used to design curves and figures in two-dimensional (2D) space; or curves, surfaces, and solids in three-dimensional (3D) space. CAD is an important industrial art extensively used in many applications, including automotive, shipbuilding, and aerospace industries, industrial and architectural design, prosthetics, and many more. CAD is also widely used to produce computer animation for special effects in movies, advertising and technical manuals, often called DCC digital content creation. The modern ubiquity and power of computers means that even perfume bottles and shampoo dispensers are designed using techniques unheard of by engineers of the 1960s. Because of its enormous economic importance, CAD has been a major driving force for research in computational geometry, computer graphics (both hardware and software), and discrete differential geometry.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="0331a4a780c1d2d7752e672d8fed9d43" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":79705537,"asset_id":69716345,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/79705537/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="69716345"><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="69716345"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 69716345; 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$(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="54449322"><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/54449322/Aircraft_Conceptual_Design_Practices_and_Case_Studies"><img alt="Research paper thumbnail of Aircraft Conceptual Design Practices & Case Studies" class="work-thumbnail" src="https://attachments.academia-assets.com/98082027/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/54449322/Aircraft_Conceptual_Design_Practices_and_Case_Studies">Aircraft Conceptual Design Practices & Case Studies</a></div><div class="wp-workCard_item"><span>CFD OpenSeries</span><span>, 2023</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">A Mach 0.93 Blended-Wing-Body (BWB) configuration was developed using CFL3DV6, a Navier-Stokes co...</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">A Mach 0.93 Blended-Wing-Body (BWB) configuration was developed using CFL3DV6, a Navier-Stokes computational fluid dynamics (CFD) code, in conjunction with the Wing Multidisciplinary Optimization Design (WingMOD) code, to determine the feasibility of BWB aircraft at high subsonic speeds. Excluding an assessment of propulsion airframe interference, the results show that a Mach 0.93 BWB is feasible, although it pays a performance penalty relative to Mach 0.85 designs. A Mach 0.90 BWB may be the best solution in terms of offering improved speed with minimal performance penalty. 2.1.2 2.2 Case Study 2-Changing the Role of CFD in Aircraft Development</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="1a1c0a7f22f600e7cedd26526ccfbfdb" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":98082027,"asset_id":54449322,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/98082027/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="54449322"><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="54449322"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 54449322; 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$(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="51408734"><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/51408734/Aircraft_Nacelle_Design_and_Optimization"><img alt="Research paper thumbnail of Aircraft Nacelle Design & Optimization" class="work-thumbnail" src="https://attachments.academia-assets.com/95917900/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/51408734/Aircraft_Nacelle_Design_and_Optimization">Aircraft Nacelle Design & Optimization</a></div><div class="wp-workCard_item"><span>CFD Open Series</span><span>, 2022</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="3f4ba434a9f7d975a4a71f774ee2be87" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":95917900,"asset_id":51408734,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/95917900/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="51408734"><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="51408734"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 51408734; 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$(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> </div><div class="profile--tab_content_container js-tab-pane tab-pane" data-section-id="10181768" id="books"><div class="js-work-strip profile--work_container" data-work-id="42169215"><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/42169215/Mesh_Generation_in_CFD"><img alt="Research paper thumbnail of Mesh Generation in CFD" class="work-thumbnail" src="https://attachments.academia-assets.com/62309360/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/42169215/Mesh_Generation_in_CFD">Mesh Generation in CFD</a></div><div class="wp-workCard_item"><span>CFD Open Series</span><span>, 2015</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="a4cf6f82731fe3f530288e507605f57d" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":62309360,"asset_id":42169215,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/62309360/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="42169215"><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="42169215"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 42169215; 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$(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="42166639"><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/42166639/Aircraft_Wing_Shape_Optimization"><img alt="Research paper thumbnail of Aircraft Wing Shape Optimization" class="work-thumbnail" src="https://attachments.academia-assets.com/69258867/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/42166639/Aircraft_Wing_Shape_Optimization">Aircraft Wing Shape Optimization</a></div><div class="wp-workCard_item"><span>CFD Open Series</span><span>, 2021</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">The use of computational simulation to scan many alternative designs has proved extremely valuabl...</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 use of computational simulation to scan many alternative designs has proved extremely valuable in practice, but it is also evident that the number of possible design variations is too large to permit their complete evaluation. Thus it is very unlikely that a truly optimum solution can be found without the assistance of automatic optimization procedures. As an vital “ingredients” in gradient base optimization, the sensitivities may now be estimated by making a small variation in each design parameter in turn and recalculating the flow. The gradient can be determined directly or indirectly by number of available methods, including Direct Differentiation (DD), Adjoin Variable(AV), Symbolic Differentiation (SD), Automatic Differentiation (AD), and Finite Difference (FD). Once the gradient has been calculated, a descent method can be used to determine a shape change that will make an improvement in the design.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="7eb405fb2da2f18f665ff5159ef6ee96" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":69258867,"asset_id":42166639,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/69258867/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="42166639"><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="42166639"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 42166639; 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$(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="42165905"><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/42165905/Essentials_of_CFD"><img alt="Research paper thumbnail of Essentials of CFD" class="work-thumbnail" src="https://attachments.academia-assets.com/96270295/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/42165905/Essentials_of_CFD">Essentials of CFD</a></div><div class="wp-workCard_item"><span>CFD Open Series</span><span>, 2022</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">Computational fluid dynamics, usually abbreviated as CFD, is a branch of fluid mechanics that use...</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">Computational fluid dynamics, usually abbreviated as CFD, is a branch of fluid mechanics that uses numerical analysis and algorithms to solve and analyze problems that involve fluid flows. Computers are used to perform the calculations required to simulate the interaction of liquids and gases with surfaces defined by boundary conditions. With high-speed supercomputers, better solutions can be achieved. Ongoing research yields software that improves the accuracy and speed of complex simulation scenarios such as transonic or turbulent flows. Initial experimental validation of such software is performed using a wind tunnel with the final validation coming in full-scale testing, e.g. flight tests. In design and development, CFD programs are now considered to be standard numerical tools which predict not only fluid flow behavior, but also the transfer of heat, mass (such as in perspiration or dissolution), phase change (such as in freezing, melting or boiling), chemical reaction (such as combustion or rusting), mechanical movement (such as an impeller turning, pistons, fans or rudders) and stress or deformation of related solid structures (such as a mast bending in the wind). 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$(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> </div><div class="profile--tab_content_container js-tab-pane tab-pane" data-section-id="10224212" id="papers"><div class="js-work-strip profile--work_container" data-work-id="81892243"><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/81892243/Grid_and_aerodynamic_sensitivity_analyses_of_airplane_components"><img alt="Research paper thumbnail of Grid and aerodynamic sensitivity analyses of airplane components" 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 class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" rel="nofollow" href="https://www.academia.edu/81892243/Grid_and_aerodynamic_sensitivity_analyses_of_airplane_components">Grid and aerodynamic sensitivity analyses of airplane components</a></div><div class="wp-workCard_item"><span>11th Applied Aerodynamics Conference</span><span>, 1993</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">An algorithm is developed to obtain the grid sensitivity with respect to design parameters for ae...</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">An algorithm is developed to obtain the grid sensitivity with respect to design parameters for aerodynamic optimization. The procedure is advocating a novel (geometrical) parameterization using spline functions such as NURBS (Non-Uniform Rational B-Splines ...</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="81892243"><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="81892243"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 81892243; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); 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$(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="76971835"><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/76971835/Grid_sensitivity_and_aerodynamic_optimization_of_generic_airfoils"><img alt="Research paper thumbnail of Grid sensitivity and aerodynamic optimization of generic airfoils" class="work-thumbnail" src="https://attachments.academia-assets.com/84510687/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/76971835/Grid_sensitivity_and_aerodynamic_optimization_of_generic_airfoils">Grid sensitivity and aerodynamic optimization of generic airfoils</a></div><div class="wp-workCard_item"><span>Journal of Aircraft</span><span>, 1995</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">An algorithm is developed to obtain the grid sensitivity with respect to design parameters for ae...</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">An algorithm is developed to obtain the grid sensitivity with respect to design parameters for aerodynamic optimization. The procedure is advocating a novel (geometrical) parameterization using spline functions such as NURBS (Non-Uniform Rational B-Splines) for dening the airfoil geometry. An interactive algebraic grid generation technique is employed to generate C-type grids around airfoils. The grid sensitivity of the domain with respect to geometric design parameters has been obtained by direct dierentiation of the grid equations. A hybrid approach is proposed for more geometrically complex congurations such as a wing or fuselage. The aerodynamic sensitivity coecients are obtained by direct dierentiation of the compressible two-dimensional thinlayer Navier-Stokes equations. An optimization package has been introduced into the algorithm in order to optimize the airfoil surface. Results demonstrate a substantially improved design due to maximized lift/drag ratio of the airfoil.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="7f4fc2fc36ed82a12eccee2c723f1af8" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":84510687,"asset_id":76971835,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/84510687/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="76971835"><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="76971835"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 76971835; 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$(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="70633219"><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/70633219/Geometric_Model_for_a_Parametric_Study_of_the_Blended_Wing_Body_Airplane"><img alt="Research paper thumbnail of Geometric Model for a Parametric Study of the Blended-Wing-Body Airplane" class="work-thumbnail" src="https://attachments.academia-assets.com/80303594/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/70633219/Geometric_Model_for_a_Parametric_Study_of_the_Blended_Wing_Body_Airplane">Geometric Model for a Parametric Study of the Blended-Wing-Body Airplane</a></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">A parametric model is presented for the blendedwing -body airplane, one concept being proposed fo...</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">A parametric model is presented for the blendedwing -body airplane, one concept being proposed for the next generation of large subsonic transports. The model is defined in terms of a small set of parameters which facilitates analysis and optimization during the conceptual design process. The model is generated from a preliminary CAD geometry. From this geometry, airfoil cross sections are cut at selected locations and fitted with analytic curves. The airfoils are then used as boundaries for surfaces defined as the solution of partial differential equations. Both the airfoil curves and the surfaces are generated with free parameters selected to give a good representation of the original geometry. The original surface is compared with the parametric model, and solutions of the Euler equations for compressible flow are computed for both geometries. The parametric model is a good approximation of the CAD model and the computed solutions are qualitatively similar. An optimal NURBS appro...</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="770a6e6cba339174287130a625399aa1" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":80303594,"asset_id":70633219,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/80303594/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="70633219"><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="70633219"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 70633219; 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$(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="57581579"><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/57581579/An_analytical_approach_to_grid_sensitivity_analysis"><img alt="Research paper thumbnail of An analytical approach to grid sensitivity analysis" class="work-thumbnail" src="https://attachments.academia-assets.com/72413273/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/57581579/An_analytical_approach_to_grid_sensitivity_analysis">An analytical approach to grid sensitivity analysis</a></div><div class="wp-workCard_item"><span>AIAA - 1992-660</span><span>, 1992</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">Sensitivity analysis in Computational Fluid Dynamics with emphasis on grids and surface parameter...</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">Sensitivity analysis in Computational Fluid Dynamics with emphasis on grids and surface parameterization is described. An interactive algebraic grid-generation technique is employed to generate C-type grids around NACA four-digit wing sections. An analytical procedure is developed for calculating grid sensitivity with respect to design parameters of a wing section. A comparison of the sensitivity with that obtained using a finite-difference approach is made. Grid sensitivity with respect to grid parameters, such as grid-stretching coefficients, are also investigated. Using the resultant grid sensitivity, aerodynamic sensitivity is obtained using the compressible two-dimensional thin-layer Navier-Stokes equations.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="244dd2e2454e2a75bb20136e5ea0c233" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":72413273,"asset_id":57581579,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/72413273/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="57581579"><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="57581579"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 57581579; 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$(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="50122597"><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/50122597/Grid_and_design_variables_sensitivity_analyses_for_NACA_four_digit_wing_sections"><img alt="Research paper thumbnail of Grid and design variables sensitivity analyses for NACA four-digit wing-sections" class="work-thumbnail" src="https://attachments.academia-assets.com/68226154/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/50122597/Grid_and_design_variables_sensitivity_analyses_for_NACA_four_digit_wing_sections">Grid and design variables sensitivity analyses for NACA four-digit wing-sections</a></div><div class="wp-workCard_item"><span>31st Aerospace Sciences Meeting</span><span>, 1993</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">Two distinct parameterization procedures are de-CL veloped for investigating the grid sensitivity...</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">Two distinct parameterization procedures are de-CL veloped for investigating the grid sensitivity with Cp respect to design parameters of a wing-section ex-C x , C y ample. The first procedure is based on traditional Di (physical) relations defining NACA four-digit winge sections. The second is advocating a novel (geomet-F rical) parameterization using spline functions such as G NURBS (Non-Uniform Rational B-Splines) for defin-H ing the wing-section geometry. An interactive al-K I , K 2 gebraic grid generation technique, known as Her-L mile Cubic Interpolation, is employed to generate M C-type grids around wing-sections. The grid senm sitivity of the domain with respect to design and M , grid parameters has been obtained by direct differ-Ni,p(r) entiation of the grid equations. A hybrid approach n is proposed for more geometrically complex config-P urations. A comparison of the sensitivity coeffi-Pi cients with those obtained using a finite-difference app proach has been made to verify the feasibility of the Q approach. The aerodynamic sensitivity coefficients R(r) are obtained using the compressible two-dimensional r f i i , p (r) r ''2 thin-layer Navier-Stokes equations. n Re, 8 NOMENCLATURE Bi = stretching parameter C = location of maximum camber *Copyright 01993 by the American Institute of Aeronautics and Astronautics, Inc.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="8ab0b04d527a09499a090fab4b59fcd6" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":68226154,"asset_id":50122597,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/68226154/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="50122597"><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="50122597"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 50122597; 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$(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="47532315"><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/47532315/Application_of_Lagrangian_blending_functions_for_grid_generation_around_airplane_geometries"><img alt="Research paper thumbnail of Application of Lagrangian blending functions for grid generation around airplane geometries" class="work-thumbnail" src="https://attachments.academia-assets.com/66576287/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/47532315/Application_of_Lagrangian_blending_functions_for_grid_generation_around_airplane_geometries">Application of Lagrangian blending functions for grid generation around airplane geometries</a></div><div class="wp-workCard_item"><span>Journal of Aircraft</span><span>, 1990</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">A simple procedure has been developed and applied for the grid generation around an airplane geom...</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">A simple procedure has been developed and applied for the grid generation around an airplane geometry. This approach is based on a transfinite interpolation with Lagrangian interpolation for the blending functions. By using a Lagrangian interpolation function, it is possible to enforce the grid continuity across the block interfaces without the derivative information. Monotonic rational quadratic spline interpolation has been employed for the grid distributions on the boundaries. This allows any arbitrary grid spacing without overlapping of the grid lines. An efficient computer program has been developed to generate a multiblock grid around a generic airplane geometry. This procedure has proven to be very simple and effective.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="6e4adb272f935edf0a319cf92cab8b3f" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":66576287,"asset_id":47532315,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/66576287/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="47532315"><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="47532315"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 47532315; 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$(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="44342675"><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/44342675/Geometric_Model_for_a_Parametric_Study_of_the_Blended_Wing_Body_Airplane"><img alt="Research paper thumbnail of Geometric Model for a Parametric Study of the Blended-Wing-Body Airplane" class="work-thumbnail" src="https://attachments.academia-assets.com/64734205/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/44342675/Geometric_Model_for_a_Parametric_Study_of_the_Blended_Wing_Body_Airplane">Geometric Model for a Parametric Study of the Blended-Wing-Body Airplane</a></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">A parametric model is presented for the blended-wing-body airplane, one concept being proposed fo...</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">A parametric model is presented for the blended-wing-body airplane, one concept being proposed for the next generation of large subsonic transports. The model is dened in terms of a small set of parameters which facilitates analysis and optimization during the conceptual design process. The model is generated from a preliminary CAD geometry. From this geometry, airfoil cross sections are cut at selected locations and tted with analytic curves. The airfoils are then used as boundaries for surfaces dened as the solution of partial dierential equations. Both the airfoil curves and the surfaces are generated with free parameters selected to give a good representation of the original geometry. The original surface is compared with the parametric model, and solutions of the Euler equations for compressible ow are computed for both geometries. The parametric model is a good approximation of the CAD model and the computed solutions are qualitatively similar. 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$(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="42738840"><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/42738840/Geometric_Model_for_a_Parametric_Study_of_the_Blended_Wing_Body_Airplane"><img alt="Research paper thumbnail of Geometric Model for a Parametric Study of the Blended-Wing-Body Airplane" class="work-thumbnail" src="https://attachments.academia-assets.com/62956970/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/42738840/Geometric_Model_for_a_Parametric_Study_of_the_Blended_Wing_Body_Airplane">Geometric Model for a Parametric Study of the Blended-Wing-Body Airplane</a></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">A parametric model is presented for the blended-wing-body airplane, one concept being proposed fo...</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">A parametric model is presented for the blended-wing-body airplane, one concept being proposed for the next generation of large subsonic transports. The model is dened in terms of a small set of parameters which facilitates analysis and optimization during the conceptual design process. The model is generated from a preliminary CAD geometry. From this geometry, airfoil cross sections are cut at selected locations and tted with analytic curves. The airfoils are then used as boundaries for surfaces dened as the solution of partial dierential equations. Both the airfoil curves and the surfaces are generated with free parameters selected to give a good representation of the original geometry. The original surface is compared with the parametric model, and solutions of the Euler equations for compressible ow are computed for both geometries. The parametric model is a good approximation of the CAD model and the computed solutions are qualitatively similar. An optimal NURBS approximation is constructed and can be used by a CAD model for further renement or modication of the original geometry.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="2f92d489f5972060b8822bce00d3cd44" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":62956970,"asset_id":42738840,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/62956970/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="42738840"><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="42738840"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 42738840; 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$(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> <div class="js-work-strip profile--work_container" data-work-id="42307327"><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/42307327/Grid_Sensitivity_and_Aerodynamic_Optimization_of_Generic_Airfoils"><img alt="Research paper thumbnail of Grid Sensitivity and Aerodynamic Optimization of Generic Airfoils" class="work-thumbnail" src="https://attachments.academia-assets.com/62463153/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/42307327/Grid_Sensitivity_and_Aerodynamic_Optimization_of_Generic_Airfoils">Grid Sensitivity and Aerodynamic Optimization of Generic Airfoils</a></div><div class="wp-workCard_item"><span>Journal of Aircraft</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">An algorithm is developed to obtain the grid sensitivity with respect to design parameters for ae...</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">An algorithm is developed to obtain the grid sensitivity with respect to design parameters for aerodynamic optimization. The procedure is advocating a novel (geometrical) parameterization using spline functions such as NURBS (Non-Uniform Rational BSplines) for defining the airfoil geometry. An interactive algebraic grid generation technique is employed to generate C-type grids around airfoils. The grid sensitivity of the domain with respect to geometric design parameters has been obtained by direct differentiation of the grid equations. A hybrid approach is proposed for more geometrically complex configurations such as a wing or fuselage. The aerodynamic sensitivity coefficients are obtained by direct differentiation of the compressible two-dimensional thin layer Navier-Stokes equations. An optimization package has been introduced into the algorithm in order to optimize the airfoil surface.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="36ff3c55bf7a5a19bf167b7e4ef1ae3b" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":62463153,"asset_id":42307327,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/62463153/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="42307327"><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="42307327"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 42307327; 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$(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> </div><div class="profile--tab_content_container js-tab-pane tab-pane" data-section-id="10686404" id="conferencepresentations"><div class="js-work-strip profile--work_container" data-work-id="44226476"><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/44226476/Verification_and_Validation"><img alt="Research paper thumbnail of Verification & Validation" class="work-thumbnail" src="https://attachments.academia-assets.com/64594799/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/44226476/Verification_and_Validation">Verification & Validation</a></div><div class="wp-workCard_item"><span>CFD Open Series</span><span>, 2020</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="543e8e1c6064d2027a27fdaf04b53f34" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":64594799,"asset_id":44226476,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/64594799/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="44226476"><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="44226476"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 44226476; 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$(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> </div><div class="profile--tab_content_container js-tab-pane tab-pane" data-section-id="10723086" id="talks"><div class="js-work-strip profile--work_container" data-work-id="44342523"><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/44342523/Components_of_Uncertainty_in_Fluid_Solid_Coupled_Environment"><img alt="Research paper thumbnail of Components of Uncertainty in Fluid-Solid Coupled Environment" 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 class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/44342523/Components_of_Uncertainty_in_Fluid_Solid_Coupled_Environment">Components of Uncertainty in Fluid-Solid Coupled Environment</a></div><div class="wp-workCard_item"><span>CFD Open Series</span><span>, 2020</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">The aim is to keep the values at 95% confidence level • Comparison with established true values o...</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 aim is to keep the values at 95% confidence level • Comparison with established true values of simple test cases • Extendable to other coupling domains</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="4a4fab4b8a9ca1937baf9caf41011e78" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":64734043,"asset_id":44342523,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/64734043/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="44342523"><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="44342523"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 44342523; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=44342523]").text(description); $(".js-view-count[data-work-id=44342523]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 44342523; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='44342523']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-a9bf3a2bc8c89fa2a77156577594264ee8a0f214d74241bc0fcd3f69f8d107ac.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (true){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); 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$(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") }); </script> </div><div class="profile--tab_content_container js-tab-pane tab-pane" data-section-id="10723168" id="thesischapters"><div class="js-work-strip profile--work_container" data-work-id="44342789"><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/44342789/GRID_SENSITIVITY_FOR_AERODYNAMIC_OPTIMIZATION_AND_FLOW_ANALYSIS"><img alt="Research paper thumbnail of GRID SENSITIVITY FOR AERODYNAMIC OPTIMIZATION AND FLOW ANALYSIS" class="work-thumbnail" src="https://attachments.academia-assets.com/64734425/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/44342789/GRID_SENSITIVITY_FOR_AERODYNAMIC_OPTIMIZATION_AND_FLOW_ANALYSIS">GRID SENSITIVITY FOR AERODYNAMIC OPTIMIZATION AND FLOW ANALYSIS</a></div><div class="wp-workCard_item"><span>ODURF</span><span>, 1993</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">An algorithm is developed to obtain the grid sensitivity with respect to design parameters for ae...</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">An algorithm is developed to obtain the grid sensitivity with respect to<br />design parameters for aerodynamic optimization. Two distinct parameterization procedures<br />are developed for investigating the grid sensitivity with respect to design parameters<br />of a wing-section as an example. The first procedure is based on traditional<br />(physical) relations defining NACA four-digit wing-sections. The second is advocating<br />a novel (geometrical) parameterization using spline functions such as NURBS<br />(Non-Uniform Rational B-Splines) for defining the wing-section geometry. An interactive<br />algebraic grid generation technique, known as Two-Boundary Grid Generation<br />(TBGG) is employed to generate C-type grids around wing-sections. The grid sensitivity<br />of the domain with respect to design and grid parameters has been obtained by<br />direct differentiation of the grid equations. A hybrid approach is proposed for more<br />geometrically complex configurations. A comparison of the sensitivity coeffÉcients<br />with those obtained using a finite-difference approach is made to verify the feasibility<br />of the approach. The aerodynamic sensitivity coefficients are obtained using the<br />compressible two-dimensional thin-layer Navier-Stokes equations. An optimization<br />package has been introduced into the algorithm in order to optimize the wing-section<br />surface using both physical and geometric parameterization. Results demonstrate a<br />substantially improved design, particularly in the geometric parameterization case.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="e9bbd9b6fc92dfd1d5108e364ef7bad2" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":64734425,"asset_id":44342789,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/64734425/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="44342789"><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="44342789"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 44342789; 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