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Euler equations</title> <meta name="description" content="Search results for: compressible Euler equations"> <meta name="keywords" content="compressible Euler equations"> <meta name="viewport" content="width=device-width, initial-scale=1, minimum-scale=1, maximum-scale=1, user-scalable=no"> <meta charset="utf-8"> <link href="https://cdn.waset.org/favicon.ico" type="image/x-icon" rel="shortcut icon"> <link href="https://cdn.waset.org/static/plugins/bootstrap-4.2.1/css/bootstrap.min.css" rel="stylesheet"> <link href="https://cdn.waset.org/static/plugins/fontawesome/css/all.min.css" rel="stylesheet"> <link href="https://cdn.waset.org/static/css/site.css?v=150220211555" rel="stylesheet"> </head> <body> <header> <div class="container"> <nav class="navbar navbar-expand-lg navbar-light"> <a class="navbar-brand" href="https://waset.org"> <img src="https://cdn.waset.org/static/images/wasetc.png" alt="Open Science Research Excellence" title="Open Science Research Excellence" /> </a> <button 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action="https://publications.waset.org/abstracts/search"> <div id="custom-search-input"> <div class="input-group"> <i class="fas fa-search"></i> <input type="text" class="search-query" name="q" placeholder="Author, Title, Abstract, Keywords" value="compressible Euler equations"> <input type="submit" class="btn_search" value="Search"> </div> </div> </form> </div> </div> <div class="row mt-3"> <div class="col-sm-3"> <div class="card"> <div class="card-body"><strong>Commenced</strong> in January 2007</div> </div> </div> <div class="col-sm-3"> <div class="card"> <div class="card-body"><strong>Frequency:</strong> Monthly</div> </div> </div> <div class="col-sm-3"> <div class="card"> <div class="card-body"><strong>Edition:</strong> International</div> </div> </div> <div class="col-sm-3"> <div class="card"> <div class="card-body"><strong>Paper Count:</strong> 1962</div> </div> </div> </div> <h1 class="mt-3 mb-3 text-center" style="font-size:1.6rem;">Search results for: compressible Euler equations</h1> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1752</span> Numerical Modeling of Wave Run-Up in Shallow Water Flows Using Moving Wet/Dry Interfaces</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Alia%20Alghosoun">Alia Alghosoun</a>, <a href="https://publications.waset.org/abstracts/search?q=Michael%20Herty"> Michael Herty</a>, <a href="https://publications.waset.org/abstracts/search?q=Mohammed%20Seaid"> Mohammed Seaid</a> </p> <p class="card-text"><strong>Abstract:</strong></p> We present a new class of numerical techniques to solve shallow water flows over dry areas including run-up. Many recent investigations on wave run-up in coastal areas are based on the well-known shallow water equations. Numerical simulations have also performed to understand the effects of several factors on tsunami wave impact and run-up in the presence of coastal areas. In all these simulations the shallow water equations are solved in entire domain including dry areas and special treatments are used for numerical solution of singularities at these dry regions. In the present study we propose a new method to deal with these difficulties by reformulating the shallow water equations into a new system to be solved only in the wetted domain. The system is obtained by a change in the coordinates leading to a set of equations in a moving domain for which the wet/dry interface is the reconstructed using the wave speed. To solve the new system we present a finite volume method of Lax-Friedrich type along with a modified method of characteristics. The method is well-balanced and accurately resolves dam-break problems over dry areas. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=dam-break%20problems" title="dam-break problems">dam-break problems</a>, <a href="https://publications.waset.org/abstracts/search?q=finite%20volume%20method" title=" finite volume method"> finite volume method</a>, <a href="https://publications.waset.org/abstracts/search?q=run-up%20waves" title=" run-up waves"> run-up waves</a>, <a href="https://publications.waset.org/abstracts/search?q=shallow%20water%20flows" title=" shallow water flows"> shallow water flows</a>, <a href="https://publications.waset.org/abstracts/search?q=wet%2Fdry%20interfaces" title=" wet/dry interfaces"> wet/dry interfaces</a> </p> <a href="https://publications.waset.org/abstracts/72559/numerical-modeling-of-wave-run-up-in-shallow-water-flows-using-moving-wetdry-interfaces" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/72559.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">145</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1751</span> Exact Solutions of K(N,N)-Type Equations Using Jacobi Elliptic Functions</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Edamana%20Krishnan">Edamana Krishnan</a>, <a href="https://publications.waset.org/abstracts/search?q=Khalil%20Al-Ghafri"> Khalil Al-Ghafri</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, modified K(n,n) and K(n+1,n+1) equations have been solved using mapping methods which give a variety of solutions in terms of Jacobi elliptic functions. The solutions when m approaches 0 and 1, with m as the modulus of the JEFs have also been deduced. The role of constraint conditions has been discussed. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=travelling%20wave%20solutions" title="travelling wave solutions">travelling wave solutions</a>, <a href="https://publications.waset.org/abstracts/search?q=solitary%20wave%20solutions" title=" solitary wave solutions"> solitary wave solutions</a>, <a href="https://publications.waset.org/abstracts/search?q=compactons" title=" compactons"> compactons</a>, <a href="https://publications.waset.org/abstracts/search?q=Jacobi%20elliptic%20functions" title=" Jacobi elliptic functions"> Jacobi elliptic functions</a>, <a href="https://publications.waset.org/abstracts/search?q=mapping%20methods" title=" mapping methods"> mapping methods</a> </p> <a href="https://publications.waset.org/abstracts/59011/exact-solutions-of-knn-type-equations-using-jacobi-elliptic-functions" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/59011.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">305</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1750</span> Regularization of Gene Regulatory Networks Perturbed by White Noise</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Ramazan%20I.%20Kadiev">Ramazan I. Kadiev</a>, <a href="https://publications.waset.org/abstracts/search?q=Arcady%20Ponosov"> Arcady Ponosov</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Mathematical models of gene regulatory networks can in many cases be described by ordinary differential equations with switching nonlinearities, where the initial value problem is ill-posed. Several regularization methods are known in the case of deterministic networks, but the presence of stochastic noise leads to several technical difficulties. In the presentation, it is proposed to apply the methods of the stochastic singular perturbation theory going back to Yu. Kabanov and Yu. Pergamentshchikov. This approach is used to regularize the above ill-posed problem, which, e.g., makes it possible to design stable numerical schemes. Several examples are provided in the presentation, which support the efficiency of the suggested analysis. The method can also be of interest in other fields of biomathematics, where differential equations contain switchings, e.g., in neural field models. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=ill-posed%20problems" title="ill-posed problems">ill-posed problems</a>, <a href="https://publications.waset.org/abstracts/search?q=singular%20perturbation%20analysis" title=" singular perturbation analysis"> singular perturbation analysis</a>, <a href="https://publications.waset.org/abstracts/search?q=stochastic%20differential%20equations" title=" stochastic differential equations"> stochastic differential equations</a>, <a href="https://publications.waset.org/abstracts/search?q=switching%20nonlinearities" title=" switching nonlinearities"> switching nonlinearities</a> </p> <a href="https://publications.waset.org/abstracts/85883/regularization-of-gene-regulatory-networks-perturbed-by-white-noise" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/85883.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">194</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1749</span> Scrutiny and Solving Analytically Nonlinear Differential at Engineering Field of Fluids, Heat, Mass and Wave by New Method AGM</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Mohammadreza%20Akbari">Mohammadreza Akbari</a>, <a href="https://publications.waset.org/abstracts/search?q=Sara%20Akbari"> Sara Akbari</a>, <a href="https://publications.waset.org/abstracts/search?q=Davood%20Domiri%20Ganji"> Davood Domiri Ganji</a>, <a href="https://publications.waset.org/abstracts/search?q=Pooya%20Solimani"> Pooya Solimani</a>, <a href="https://publications.waset.org/abstracts/search?q=Reza%20Khalili"> Reza Khalili</a> </p> <p class="card-text"><strong>Abstract:</strong></p> As all experts know most of engineering system behavior in practical are nonlinear process (especially heat, fluid and mass, etc.) and analytical solving (no numeric) these problems are difficult, complex and sometimes impossible like (fluids and gas wave, these problems can't solve with numeric method, because of no have boundary condition) accordingly in this symposium we are going to exposure a innovative approach which we have named it Akbari-Ganji's Method or AGM in engineering, that can solve sets of coupled nonlinear differential equations (ODE, PDE) with high accuracy and simple solution and so this issue will be emerged after comparing the achieved solutions by Numerical method (Runge-Kutte 4th) and so compare to other methods such as HPM, ADM,… and exact solutions. Eventually, AGM method will be proved that could be created huge evolution for researchers, professors and students (engineering and basic science) in whole over the world, because of AGM coding system, so by using this software we can analytically solve all complicated linear and nonlinear differential equations, with help of that there is no difficulty for solving nonlinear differential equations(ODE and PDE). In this paper, we investigate and solve 4 types of the nonlinear differential equation with AGM method : 1-Heat and fluid, 2-Unsteady state of nonlinear partial differential, 3-Coupled nonlinear partial differential in wave equation, and 4-Nonlinear integro-differential equation. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=new%20method%20AGM" title="new method AGM">new method AGM</a>, <a href="https://publications.waset.org/abstracts/search?q=sets%20of%20coupled%20nonlinear%20equations%20at%20engineering%20field" title=" sets of coupled nonlinear equations at engineering field"> sets of coupled nonlinear equations at engineering field</a>, <a href="https://publications.waset.org/abstracts/search?q=waves%20equations" title=" waves equations"> waves equations</a>, <a href="https://publications.waset.org/abstracts/search?q=integro-differential" title=" integro-differential"> integro-differential</a>, <a href="https://publications.waset.org/abstracts/search?q=fluid%20and%20thermal" title=" fluid and thermal"> fluid and thermal</a> </p> <a href="https://publications.waset.org/abstracts/36022/scrutiny-and-solving-analytically-nonlinear-differential-at-engineering-field-of-fluids-heat-mass-and-wave-by-new-method-agm" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/36022.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">546</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1748</span> A New Approach to Achieve the Regime Equations in Sand-Bed Rivers</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Farhad%20Imanshoar">Farhad Imanshoar </a> </p> <p class="card-text"><strong>Abstract:</strong></p> The regime or equilibrium geometry of alluvial rivers remains a topic of fundamental scientific and engineering interest. There are several approaches to analyze the problem, namely: empirical formulas, semi-theoretical methods and rational (extreme) procedures. However, none of them is widely accepted at present, due to lack of knowledge of some physical processes associated with channel formation and the simplification hypotheses imposed in order to reduce the high quantity of involved variables. The study presented in this paper shows a new approach to estimate stable width and depth of sand-bed rivers by using developed stream power equation (DSPE). At first, a new procedure based on theoretical analysis and by considering DSPE and ultimate sediment concentration were developed. Then, experimental data for regime condition in sand-bed rivers (flow depth, flow width, sediment feed rate for several cases) were gathered. Finally, the results of this research (regime equations) are compared with the field data and other regime equations. A good agreement was observed between the field data and the values resulted from developed regime equation. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=regime%20equations" title="regime equations">regime equations</a>, <a href="https://publications.waset.org/abstracts/search?q=developed%20stream%20power%20equation" title=" developed stream power equation"> developed stream power equation</a>, <a href="https://publications.waset.org/abstracts/search?q=sand-bed%20rivers" title=" sand-bed rivers"> sand-bed rivers</a>, <a href="https://publications.waset.org/abstracts/search?q=semi-theoretical%20methods" title=" semi-theoretical methods"> semi-theoretical methods</a> </p> <a href="https://publications.waset.org/abstracts/28554/a-new-approach-to-achieve-the-regime-equations-in-sand-bed-rivers" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/28554.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">268</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1747</span> Classification of Cosmological Wormhole Solutions in the Framework of General Relativity</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Usamah%20Al-Ali">Usamah Al-Ali</a> </p> <p class="card-text"><strong>Abstract:</strong></p> We explore the effect of expanding space on the exoticity of the matter supporting a traversable Lorentzian wormhole of zero radial tide whose line element is given by ds2 = dt^2 − a^2(t)[ dr^2/(1 − kr2 −b(r)/r)+ r2dΩ^2 in the context of General Relativity. This task is achieved by deriving the Einstein field equations for anisotropic matter field corresponding to the considered cosmological wormhole metric and performing a classification of their solutions on the basis of a variable equations of state (EoS) of the form p = ω(r)ρ. Explicit forms of the shape function b(r) and the scale factor a(t) arising in the classification are utilized to construct the corresponding energy-momentum tensor where the energy conditions for each case is investigated. While the violation of energy conditions is inevitable in case of static wormholes, the classification we performed leads to interesting solutions in which this violation is either reduced or eliminated. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=general%20relativity" title="general relativity">general relativity</a>, <a href="https://publications.waset.org/abstracts/search?q=Einstein%20field%20equations" title=" Einstein field equations"> Einstein field equations</a>, <a href="https://publications.waset.org/abstracts/search?q=energy%20conditions" title=" energy conditions"> energy conditions</a>, <a href="https://publications.waset.org/abstracts/search?q=cosmological%20wormhole" title=" cosmological wormhole"> cosmological wormhole</a> </p> <a href="https://publications.waset.org/abstracts/150239/classification-of-cosmological-wormhole-solutions-in-the-framework-of-general-relativity" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/150239.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">63</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1746</span> Investigation of Flexural – Torsion Instability of Struts Using Modified Newmark Method</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Seyed%20Amin%20Vakili">Seyed Amin Vakili</a>, <a href="https://publications.waset.org/abstracts/search?q=Sahar%20Sadat%20Vakili"> Sahar Sadat Vakili</a>, <a href="https://publications.waset.org/abstracts/search?q=Seyed%20Ehsan%20Vakili"> Seyed Ehsan Vakili</a>, <a href="https://publications.waset.org/abstracts/search?q=Nader%20Abdoli%20Yazdi"> Nader Abdoli Yazdi</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Differential equations are of fundamental importance in engineering and applied mathematics, since many physical laws and relations appear mathematically in the form of such equations. The equilibrium state of structures consisting of one-dimensional elements can be described by an ordinary differential equation. The response of these kinds of structures under the loading, namely relationship between the displacement field and loading field, can be predicted by the solution of these differential equations and on satisfying the given boundary conditions. When the effect of change of geometry under loading is taken into account in modeling of equilibrium state, then these differential equations are partially integrable in quartered. They also exhibit instability characteristics when the structures are loaded compressively. The purpose of this paper is to represent the ability of the Modified Newmark Method in analyzing flexural-torsional instability of struts for both bifurcation and non-bifurcation structural systems. The results are shown to be very accurate with only a small number of iterations. The method is easily programmed, and has the advantages of simplicity and speeds of convergence and easily is extended to treat material and geometric nonlinearity including no prismatic members and linear and nonlinear spring restraints that would be encountered in frames. In this paper, these abilities of the method will be extended to the system of linear differential equations that govern strut flexural torsional stability. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=instability" title="instability">instability</a>, <a href="https://publications.waset.org/abstracts/search?q=torsion" title=" torsion"> torsion</a>, <a href="https://publications.waset.org/abstracts/search?q=flexural" title=" flexural"> flexural</a>, <a href="https://publications.waset.org/abstracts/search?q=buckling" title=" buckling"> buckling</a>, <a href="https://publications.waset.org/abstracts/search?q=modified%20newmark%20method%20stability" title=" modified newmark method stability"> modified newmark method stability</a> </p> <a href="https://publications.waset.org/abstracts/42636/investigation-of-flexural-torsion-instability-of-struts-using-modified-newmark-method" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/42636.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">359</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1745</span> Taleghan Dam Break Numerical Modeling</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Hamid%20Goharnejad">Hamid Goharnejad</a>, <a href="https://publications.waset.org/abstracts/search?q=Milad%20Sadeghpoor%20Moalem"> Milad Sadeghpoor Moalem</a>, <a href="https://publications.waset.org/abstracts/search?q=Mahmood%20Zakeri%20Niri"> Mahmood Zakeri Niri</a>, <a href="https://publications.waset.org/abstracts/search?q=Leili%20Sadeghi%20Khalegh%20Abadi"> Leili Sadeghi Khalegh Abadi</a> </p> <p class="card-text"><strong>Abstract:</strong></p> While there are many benefits to using reservoir dams, their break leads to destructive effects. From the viewpoint of International Committee of Large Dams (ICOLD), dam break means the collapse of whole or some parts of a dam; thereby the dam will be unable to hold water. Therefore, studying dam break phenomenon and prediction of its behavior and effects reduces losses and damages of the mentioned phenomenon. One of the most common types of reservoir dams is embankment dam. Overtopping in embankment dams occurs because of flood discharge system inability in release inflows to reservoir. One of the most important issues among managers and engineers to evaluate the performance of the reservoir dam rim when sliding into the storage, creating waves is large and long. In this study, the effects of floods which caused the overtopping of the dam have been investigated. It was assumed that spillway is unable to release the inflow. To determine outflow hydrograph resulting from dam break, numerical model using Flow-3D software and empirical equations was used. Results of numerical models and their comparison with empirical equations show that numerical model and empirical equations can be used to study the flood resulting from dam break. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=embankment%20dam%20break" title="embankment dam break">embankment dam break</a>, <a href="https://publications.waset.org/abstracts/search?q=empirical%20equations" title=" empirical equations"> empirical equations</a>, <a href="https://publications.waset.org/abstracts/search?q=Taleghan%20dam" title=" Taleghan dam"> Taleghan dam</a>, <a href="https://publications.waset.org/abstracts/search?q=Flow-3D%20numerical%20model" title=" Flow-3D numerical model"> Flow-3D numerical model</a> </p> <a href="https://publications.waset.org/abstracts/49153/taleghan-dam-break-numerical-modeling" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/49153.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">321</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1744</span> The Effects of a Thin Liquid Layer on the Hydrodynamic Machine Rotor</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Jaroslav%20Krutil">Jaroslav Krutil</a>, <a href="https://publications.waset.org/abstracts/search?q=Franti%C5%A1ek%20Pochyl%C3%BD"> František Pochylý</a>, <a href="https://publications.waset.org/abstracts/search?q=Simona%20Fialov%C3%A1"> Simona Fialová</a>, <a href="https://publications.waset.org/abstracts/search?q=Vladim%C3%ADr%20Hab%C3%A1n"> Vladimír Habán</a> </p> <p class="card-text"><strong>Abstract:</strong></p> A mathematical model of the additional effects of the liquid in the hydrodynamic gap is presented in the paper. An in-compressible viscous fluid is considered. Based on computational modeling are determined the matrices of mass, stiffness and damping. The mathematical model is experimentally verified. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=computational%20modeling" title="computational modeling">computational modeling</a>, <a href="https://publications.waset.org/abstracts/search?q=mathematical%20model" title=" mathematical model"> mathematical model</a>, <a href="https://publications.waset.org/abstracts/search?q=hydrodynamic%20gap" title=" hydrodynamic gap"> hydrodynamic gap</a>, <a href="https://publications.waset.org/abstracts/search?q=matrices%20of%20mass" title=" matrices of mass"> matrices of mass</a>, <a href="https://publications.waset.org/abstracts/search?q=stiffness%20and%20damping" title=" stiffness and damping"> stiffness and damping</a> </p> <a href="https://publications.waset.org/abstracts/22442/the-effects-of-a-thin-liquid-layer-on-the-hydrodynamic-machine-rotor" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/22442.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">557</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1743</span> Experimental Study on Friction Factor of Oscillating Flow Through a Regenerator</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Mohamed%20Sa%C3%AFd%20Kahaleras">Mohamed Saïd Kahaleras</a>, <a href="https://publications.waset.org/abstracts/search?q=Fran%C3%A7ois%20Lanzetta"> François Lanzetta</a>, <a href="https://publications.waset.org/abstracts/search?q=Mohamed%20Khan"> Mohamed Khan</a>, <a href="https://publications.waset.org/abstracts/search?q=Guillaume%20Layes"> Guillaume Layes</a>, <a href="https://publications.waset.org/abstracts/search?q=Philippe%20Nika"> Philippe Nika</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This paper presents an experimental work to characterize the dynamic operation of a metal regenerator crossed by dry compressible air alternating flow. Unsteady dynamic measurements concern the pressure, velocity and temperature of the gas at the ends and inside the channels of the regenerator. The regenerators are tested under isothermal conditions and thermal axial temperature gradient. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=friction%20factor" title="friction factor">friction factor</a>, <a href="https://publications.waset.org/abstracts/search?q=oscillating%20flow" title=" oscillating flow"> oscillating flow</a>, <a href="https://publications.waset.org/abstracts/search?q=regenerator" title=" regenerator"> regenerator</a>, <a href="https://publications.waset.org/abstracts/search?q=stirling%20machine" title=" stirling machine"> stirling machine</a> </p> <a href="https://publications.waset.org/abstracts/2336/experimental-study-on-friction-factor-of-oscillating-flow-through-a-regenerator" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/2336.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">508</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1742</span> Linear fractional differential equations for second kind modified Bessel functions</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Jorge%20Olivares">Jorge Olivares</a>, <a href="https://publications.waset.org/abstracts/search?q=Fernando%20Maass"> Fernando Maass</a>, <a href="https://publications.waset.org/abstracts/search?q=Pablo%20Martin"> Pablo Martin</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Fractional derivatives have been considered recently as a way to solve different problems in Engineering. In this way, second kind modified Bessel functions are considered here. The order α fractional differential equations of second kind Bessel functions, Kᵥ(x), are studied with simple initial conditions. The Laplace transform and Caputo definition of fractional derivatives are considered. Solutions have been found for ν=1/3, 1/2, 2/3, -1/3, -1/2 and (-2/3). In these cases, the solutions are the sum of two hypergeometric functions. The α fractional derivatives have been for α=1/3, 1/2 and 2/3, and the above values of ν. No convergence has been found for the integer values of ν Furthermore when α has been considered as a rational found m/p, no general solution has been found. Clearly, this case is more difficult to treat than those of first kind Bessel Function. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=Caputo" title="Caputo">Caputo</a>, <a href="https://publications.waset.org/abstracts/search?q=modified%20Bessel%20functions" title=" modified Bessel functions"> modified Bessel functions</a>, <a href="https://publications.waset.org/abstracts/search?q=hypergeometric" title=" hypergeometric"> hypergeometric</a>, <a href="https://publications.waset.org/abstracts/search?q=linear%20fractional%20differential%20equations" title=" linear fractional differential equations"> linear fractional differential equations</a>, <a href="https://publications.waset.org/abstracts/search?q=transform%20Laplace" title=" transform Laplace"> transform Laplace</a> </p> <a href="https://publications.waset.org/abstracts/91374/linear-fractional-differential-equations-for-second-kind-modified-bessel-functions" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/91374.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">342</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1741</span> Optimization Approach to Estimate Hammerstein–Wiener Nonlinear Blocks in Presence of Noise and Disturbance</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Leili%20Esmaeilani">Leili Esmaeilani</a>, <a href="https://publications.waset.org/abstracts/search?q=Jafar%20Ghaisari"> Jafar Ghaisari</a>, <a href="https://publications.waset.org/abstracts/search?q=Mohsen%20Ahmadian"> Mohsen Ahmadian</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Hammerstein–Wiener model is a block-oriented model where a linear dynamic system is surrounded by two static nonlinearities at its input and output and could be used to model various processes. This paper contains an optimization approach method for analysing the problem of Hammerstein–Wiener systems identification. The method relies on reformulate the identification problem; solve it as constraint quadratic problem and analysing its solutions. During the formulation of the problem, effects of adding noise to both input and output signals of nonlinear blocks and disturbance to linear block, in the emerged equations are discussed. Additionally, the possible parametric form of matrix operations to reduce the equation size is presented. To analyse the possible solutions to the mentioned system of equations, a method to reduce the difference between the number of equations and number of unknown variables by formulate and importing existing knowledge about nonlinear functions is presented. Obtained equations are applied to an instance H–W system to validate the results and illustrate the proposed method. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=identi%EF%AC%81cation" title="identiﬁcation">identiﬁcation</a>, <a href="https://publications.waset.org/abstracts/search?q=Hammerstein-Wiener" title=" Hammerstein-Wiener"> Hammerstein-Wiener</a>, <a href="https://publications.waset.org/abstracts/search?q=optimization" title=" optimization"> optimization</a>, <a href="https://publications.waset.org/abstracts/search?q=quantization" title=" quantization"> quantization</a> </p> <a href="https://publications.waset.org/abstracts/80222/optimization-approach-to-estimate-hammerstein-wiener-nonlinear-blocks-in-presence-of-noise-and-disturbance" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/80222.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">257</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1740</span> Flow over an Exponentially Stretching Sheet with Hall and Cross-Diffusion Effects</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Srinivasacharya%20Darbhasayanam">Srinivasacharya Darbhasayanam</a>, <a href="https://publications.waset.org/abstracts/search?q=Jagadeeshwar%20Pashikanti"> Jagadeeshwar Pashikanti</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This paper analyzes the Soret and Dufour effects on mixed convection flow, heat and mass transfer from an exponentially stretching surface in a viscous fluid with Hall Effect. The governing partial differential equations are transformed into ordinary differential equations using similarity transformations. The nonlinear coupled ordinary differential equations are reduced to a system of linear differential equations using the successive linearization method and then solved the resulting linear system using the Chebyshev pseudo spectral method. The numerical results for the velocity components, temperature and concentration are presented graphically. The obtained results are compared with the previously published results, and are found to be in excellent agreement. It is observed from the present analysis that the primary and secondary velocities and concentration are found to be increasing, and temperature is decreasing with the increase in the values of the Soret parameter. An increase in the Dufour parameter increases both the primary and secondary velocities and temperature and decreases the concentration. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=Exponentially%20stretching%20sheet" title="Exponentially stretching sheet">Exponentially stretching sheet</a>, <a href="https://publications.waset.org/abstracts/search?q=Hall%20current" title=" Hall current"> Hall current</a>, <a href="https://publications.waset.org/abstracts/search?q=Heat%20and%20Mass%20transfer" title=" Heat and Mass transfer"> Heat and Mass transfer</a>, <a href="https://publications.waset.org/abstracts/search?q=Soret%20and%20Dufour%20Effects" title=" Soret and Dufour Effects"> Soret and Dufour Effects</a> </p> <a href="https://publications.waset.org/abstracts/54720/flow-over-an-exponentially-stretching-sheet-with-hall-and-cross-diffusion-effects" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/54720.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">214</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1739</span> A Theoretical Analysis of Air Cooling System Using Thermal Ejector under Variable Generator Pressure </h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Mohamed%20Ouzzane">Mohamed Ouzzane</a>, <a href="https://publications.waset.org/abstracts/search?q=Mahmoud%20Bady"> Mahmoud Bady</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Due to energy and environment context, research is looking for the use of clean and energy efficient system in cooling industry. In this regard, the ejector represents one of the promising solutions. The thermal ejector is a passive component used for thermal compression in refrigeration and cooling systems, usually activated by heat either waste or solar. The present study introduces a theoretical analysis of the cooling system which uses a gas ejector thermal compression. A theoretical model is developed and applied for the design and simulation of the ejector, as well as the whole cooling system. Besides the conservation equations of mass, energy and momentum, the gas dynamic equations, state equations, isentropic relations as well as some appropriate assumptions are applied to simulate the flow and mixing in the ejector. This model coupled with the equations of the other components (condenser, evaporator, pump, and generator) is used to analyze profiles of pressure and velocity (Mach number), as well as evaluation of the cycle cooling capacity. A FORTRAN program is developed to carry out the investigation. Properties of refrigerant R134a are calculated using real gas equations. Among many parameters, it is thought that the generator pressure is the cornerstone in the cycle, and hence considered as the key parameter in this investigation. Results show that the generator pressure has a great effect on the ejector and on the whole cooling system. At high generator pressures, strong shock waves inside the ejector are created, which lead to significant condenser pressure at the ejector exit. Additionally, at higher generator pressures, the designed system can deliver cooling capacity for high condensing pressure (hot season). <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=air%20cooling%20system" title="air cooling system">air cooling system</a>, <a href="https://publications.waset.org/abstracts/search?q=refrigeration" title=" refrigeration"> refrigeration</a>, <a href="https://publications.waset.org/abstracts/search?q=thermal%20ejector" title=" thermal ejector"> thermal ejector</a>, <a href="https://publications.waset.org/abstracts/search?q=thermal%20compression" title=" thermal compression"> thermal compression</a> </p> <a href="https://publications.waset.org/abstracts/104177/a-theoretical-analysis-of-air-cooling-system-using-thermal-ejector-under-variable-generator-pressure" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/104177.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">160</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1738</span> High Order Block Implicit Multi-Step (Hobim) Methods for the Solution of Stiff Ordinary Differential Equations</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=J.%20P.%20Chollom">J. P. Chollom</a>, <a href="https://publications.waset.org/abstracts/search?q=G.%20M.%20Kumleng"> G. M. Kumleng</a>, <a href="https://publications.waset.org/abstracts/search?q=S.%20Longwap"> S. Longwap</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The search for higher order A-stable linear multi-step methods has been the interest of many numerical analysts and has been realized through either higher derivatives of the solution or by inserting additional off step points, supper future points and the likes. These methods are suitable for the solution of stiff differential equations which exhibit characteristics that place a severe restriction on the choice of step size. It becomes necessary that only methods with large regions of absolute stability remain suitable for such equations. In this paper, high order block implicit multi-step methods of the hybrid form up to order twelve have been constructed using the multi-step collocation approach by inserting one or more off step points in the multi-step method. The accuracy and stability properties of the new methods are investigated and are shown to yield A-stable methods, a property desirable of methods suitable for the solution of stiff ODE’s. The new High Order Block Implicit Multistep methods used as block integrators are tested on stiff differential systems and the results reveal that the new methods are efficient and compete favourably with the state of the art Matlab ode23 code. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=block%20linear%20multistep%20methods" title="block linear multistep methods">block linear multistep methods</a>, <a href="https://publications.waset.org/abstracts/search?q=high%20order" title=" high order"> high order</a>, <a href="https://publications.waset.org/abstracts/search?q=implicit" title=" implicit"> implicit</a>, <a href="https://publications.waset.org/abstracts/search?q=stiff%20differential%20equations" title=" stiff differential equations"> stiff differential equations</a> </p> <a href="https://publications.waset.org/abstracts/5700/high-order-block-implicit-multi-step-hobim-methods-for-the-solution-of-stiff-ordinary-differential-equations" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/5700.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">358</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1737</span> A Dynamic Equation for Downscaling Surface Air Temperature</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Ch.%20Surawut">Ch. Surawut</a>, <a href="https://publications.waset.org/abstracts/search?q=D.%20Sukawat"> D. Sukawat</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In order to utilize results from global climate models, dynamical and statistical downscaling techniques have been developed. For dynamical downscaling, usually a limited area numerical model is used, with associated high computational cost. This research proposes dynamic equation for specific space-time regional climate downscaling from the Educational Global Climate Model (EdGCM) for Southeast Asia. The equation is for surface air temperature. These equations provide downscaling values of surface air temperature at any specific location and time without running a regional climate model. In the proposed equations, surface air temperature is approximated from ground temperature, sensible heat flux and 2m wind speed. Results from the application of the equation show that the errors from the proposed equations are less than the errors for direct interpolation from EdGCM. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=dynamic%20equation" title="dynamic equation">dynamic equation</a>, <a href="https://publications.waset.org/abstracts/search?q=downscaling" title=" downscaling"> downscaling</a>, <a href="https://publications.waset.org/abstracts/search?q=inverse%20distance" title=" inverse distance"> inverse distance</a>, <a href="https://publications.waset.org/abstracts/search?q=weight%20interpolation" title=" weight interpolation"> weight interpolation</a> </p> <a href="https://publications.waset.org/abstracts/39670/a-dynamic-equation-for-downscaling-surface-air-temperature" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/39670.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">306</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1736</span> Dam Break Model Using Navier-Stokes Equation</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Alireza%20Lohrasbi">Alireza Lohrasbi</a>, <a href="https://publications.waset.org/abstracts/search?q=Alireza%20Lavaei"> Alireza Lavaei</a>, <a href="https://publications.waset.org/abstracts/search?q=Mohammadali%20M.%20Shahlaei"> Mohammadali M. Shahlaei </a> </p> <p class="card-text"><strong>Abstract:</strong></p> The liquid flow and the free surface shape during the initial stage of dam breaking are investigated. A numerical scheme is developed to predict the wave of an unsteady, incompressible viscous flow with free surface. The method involves a two dimensional finite element (2D), in a vertical plan. The Naiver-Stokes equations for conservation of momentum and mass for Newtonian fluids, continuity equation, and full nonlinear kinematic free-surface equation were used as the governing equations. The mapping developed to solve highly deformed free surface problems common in waves formed during wave propagation, transforms the run up model from the physical domain to a computational domain with Arbitrary Lagrangian Eulerian (ALE) finite element modeling technique. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=dam%20break" title="dam break">dam break</a>, <a href="https://publications.waset.org/abstracts/search?q=Naiver-Stokes%20equations" title=" Naiver-Stokes equations"> Naiver-Stokes equations</a>, <a href="https://publications.waset.org/abstracts/search?q=free-surface%20flows" title=" free-surface flows"> free-surface flows</a>, <a href="https://publications.waset.org/abstracts/search?q=Arbitrary%20Lagrangian-Eulerian" title=" Arbitrary Lagrangian-Eulerian"> Arbitrary Lagrangian-Eulerian</a> </p> <a href="https://publications.waset.org/abstracts/53233/dam-break-model-using-navier-stokes-equation" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/53233.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">337</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1735</span> Spirometric Reference Values in 236,606 Healthy, Non-Smoking Chinese Aged 4–90 Years</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Jiashu%20Shen">Jiashu Shen</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Objectives: Spirometry is a basic reference for health evaluation which is widely used in clinical. Previous reference of spirometry is not applicable because of drastic changes of social and natural circumstance in China. A new reference values for the spirometry of the Chinese population is extremely needed. Method: Spirometric reference value was established using the statistical modeling method Generalized Additive Models for Location, Scale and Shape for forced expiratory volume in 1 s (FEV1), forced vital capacity (FVC), FEV1/FVC, and maximal mid-expiratory flow (MMEF). Results: Data from 236,606 healthy non-smokers aged 4–90 years was collected from the MJ Health Check database. Spirometry equations for FEV1, FVC, MMEF, and FEV1/FVC were established, including the predicted values and lower limits of normal (LLNs) by sex. The predictive equations that were developed for the spirometric results elaborated the relationship between spirometry and age, and they eliminated the effects of height as a variable. Most previous predictive equations for Chinese spirometry were significantly overestimated (to be exact, with mean differences of 22.21% in FEV1 and 31.39% in FVC for males, along with differences of 26.93% in FEV1 and 35.76% in FVC for females) or underestimated (with mean differences of -5.81% in MMEF and -14.56% in FEV1/FVC for males, along with a difference of -14.54% in FEV1/FVC for females) the results of lung function measurements as found in this study. Through cross-validation, our equations were established as having good fit, and the means of the measured value and the estimated value were compared, with good results. Conclusions: Our study updates the spirometric reference equations for Chinese people of all ages and provides comprehensive values for both physical examination and clinical diagnosis. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=Chinese" title="Chinese">Chinese</a>, <a href="https://publications.waset.org/abstracts/search?q=GAMLSS%20model" title=" GAMLSS model"> GAMLSS model</a>, <a href="https://publications.waset.org/abstracts/search?q=reference%20values" title=" reference values"> reference values</a>, <a href="https://publications.waset.org/abstracts/search?q=spirometry" title=" spirometry"> spirometry</a> </p> <a href="https://publications.waset.org/abstracts/129111/spirometric-reference-values-in-236606-healthy-non-smoking-chinese-aged-4-90-years" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/129111.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">136</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1734</span> A Numerical Study on Semi-Active Control of a Bridge Deck under Seismic Excitation</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=A.%20Yanik">A. Yanik</a>, <a href="https://publications.waset.org/abstracts/search?q=U.%20Aldemir"> U. Aldemir</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This study investigates the benefits of implementing the semi-active devices in relation to passive viscous damping in the context of seismically isolated bridge structures. Since the intrinsically nonlinear nature of semi-active devices prevents the direct evaluation of Laplace transforms, frequency response functions are compiled from the computed time history response to sinusoidal and pulse-like seismic excitation. A simple semi-active control policy is used in regard to passive linear viscous damping and an optimal non-causal semi-active control strategy. The control strategy requires optimization. Euler-Lagrange equations are solved numerically during this procedure. The optimal closed-loop performance is evaluated for an idealized controllable dash-pot. A simplified single-degree-of-freedom model of an isolated bridge is used as numerical example. Two bridge cases are investigated. These cases are; bridge deck without the isolation bearing and bridge deck with the isolation bearing. To compare the performances of the passive and semi-active control cases, frequency dependent acceleration, velocity and displacement response transmissibility ratios <em>T<sub>a</sub></em>(<em>w</em>), <em>T<sub>v</sub></em>(<em>w</em>), and <em>T<sub>d</sub></em>(<em>w</em>) are defined. To fully investigate the behavior of the structure subjected to the sinusoidal and pulse type excitations, different damping levels are considered. Numerical results showed that, under the effect of external excitation, bridge deck with semi-active control showed better structural performance than the passive bridge deck case. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=bridge%20structures" title="bridge structures">bridge structures</a>, <a href="https://publications.waset.org/abstracts/search?q=passive%20control" title=" passive control"> passive control</a>, <a href="https://publications.waset.org/abstracts/search?q=seismic" title=" seismic"> seismic</a>, <a href="https://publications.waset.org/abstracts/search?q=semi-active%20control" title=" semi-active control"> semi-active control</a>, <a href="https://publications.waset.org/abstracts/search?q=viscous%20damping" title=" viscous damping"> viscous damping</a> </p> <a href="https://publications.waset.org/abstracts/96050/a-numerical-study-on-semi-active-control-of-a-bridge-deck-under-seismic-excitation" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/96050.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">242</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1733</span> Agreement between Basal Metabolic Rate Measured by Bioelectrical Impedance Analysis and Estimated by Prediction Equations in Obese Groups </h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Orkide%20Donma">Orkide Donma</a>, <a href="https://publications.waset.org/abstracts/search?q=Mustafa%20M.%20Donma"> Mustafa M. Donma</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Basal metabolic rate (BMR) is widely used and an accepted measure of energy expenditure. Its principal determinant is body mass. However, this parameter is also correlated with a variety of other factors. The objective of this study is to measure BMR and compare it with the values obtained from predictive equations in adults classified according to their body mass index (BMI) values. 276 adults were included into the scope of this study. Their age, height and weight values were recorded. Five groups were designed based on their BMI values. First group (n = 85) was composed of individuals with BMI values varying between 18.5 and 24.9 kg/m<sup>2</sup>. Those with BMI values varying from 25.0 to 29.9 kg/m<sup>2 </sup>constituted Group 2 (n = 90). Individuals with 30.0-34.9 kg/m<sup>2</sup>, 35.0-39.9 kg/m<sup>2</sup>, > 40.0 kg/m<sup>2</sup> were included in Group 3 (n = 53), 4 (n = 28) and 5 (n = 20), respectively. The most commonly used equations to be compared with the measured BMR values were selected. For this purpose, the values were calculated by the use of four equations to predict BMR values, by name, introduced by Food and Agriculture Organization (FAO)/World Health Organization (WHO)/United Nations University (UNU), Harris and Benedict, Owen and Mifflin. Descriptive statistics, ANOVA, post-Hoc Tukey and Pearson’s correlation tests were performed by a statistical program designed for Windows (SPSS, version 16.0). p values smaller than 0.05 were accepted as statistically significant. Mean ± SD of groups 1, 2, 3, 4 and 5 for measured BMR in kcal were 1440.3 ± 210.0, 1618.8 ± 268.6, 1741.1 ± 345.2, 1853.1 ± 351.2 and 2028.0 ± 412.1, respectively. Upon evaluation of the comparison of means among groups, differences were highly significant between Group 1 and each of the remaining four groups. The values were increasing from Group 2 to Group 5. However, differences between Group 2 and Group 3, Group 3 and Group 4, Group 4 and Group 5 were not statistically significant. These insignificances were lost in predictive equations proposed by Harris and Benedict, FAO/WHO/UNU and Owen. For Mifflin, the insignificance was limited only to Group 4 and Group 5. Upon evaluation of the correlations of measured BMR and the estimated values computed from prediction equations, the lowest correlations between measured BMR and estimated BMR values were observed among the individuals within normal BMI range. The highest correlations were detected in individuals with BMI values varying between 30.0 and 34.9 kg/m<sup>2</sup>. Correlations between measured BMR values and BMR values calculated by FAO/WHO/UNU as well as Owen were the same and the highest. In all groups, the highest correlations were observed between BMR values calculated from Mifflin and Harris and Benedict equations using age as an additional parameter. In conclusion, the unique resemblance of the FAO/WHO/UNU and Owen equations were pointed out. However, mean values obtained from FAO/WHO/UNU were much closer to the measured BMR values. Besides, the highest correlations were found between BMR calculated from FAO/WHO/UNU and measured BMR. These findings suggested that FAO/WHO/UNU was the most reliable equation, which may be used in conditions when the measured BMR values are not available. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=adult" title="adult">adult</a>, <a href="https://publications.waset.org/abstracts/search?q=basal%20metabolic%20rate" title=" basal metabolic rate"> basal metabolic rate</a>, <a href="https://publications.waset.org/abstracts/search?q=fao%2Fwho%2Funu" title=" fao/who/unu"> fao/who/unu</a>, <a href="https://publications.waset.org/abstracts/search?q=obesity" title=" obesity"> obesity</a>, <a href="https://publications.waset.org/abstracts/search?q=prediction%20equations" title=" prediction equations"> prediction equations</a> </p> <a href="https://publications.waset.org/abstracts/115067/agreement-between-basal-metabolic-rate-measured-by-bioelectrical-impedance-analysis-and-estimated-by-prediction-equations-in-obese-groups" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/115067.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">133</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1732</span> Fluid–Structure Interaction Modeling of Wind Turbines</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Andre%20F.%20A.%20Cyrino">Andre F. A. Cyrino</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Knowing that the technological advance is the focus on the efficient extraction of energy from wind, and therefore in the design of wind turbine structures, this work aims the study of the fluid-structure interaction of an idealized wind turbine. The blade was studied as a beam attached to a cylindrical Hub with rotation axis pointing the air flow that passes through the rotor. Using the calculus of variations and the finite difference method the blade will be simulated by a discrete number of nodes and the aerodynamic forces were evaluated. The study presented here was written on Matlab and performs a numeric simulation of a simplified model of windmill containing a Hub and three blades modeled as Euler-Bernoulli beams for small strains and under the constant and uniform wind. The mathematical approach is done by Hamilton’s Extended Principle with the aerodynamic loads applied on the nodes considering the local relative wind speed, angle of attack and aerodynamic lift and drag coefficients. Due to the wide range of angles of attack, a wind turbine blade operates, the airfoil used on the model was NREL SERI S809 which allowed obtaining equations for Cl and Cd as functions of the angle of attack, based on a NASA study. Tridimensional flow effects were no taken in part, as well as torsion of the beam, which only bends. The results showed the dynamic response of the system in terms of displacement and rotational speed as the turbine reached the final speed. Although the results were not compared to real windmills or more complete models, the resulting values were consistent with the size of the system and wind speed. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=blade%20aerodynamics" title="blade aerodynamics">blade aerodynamics</a>, <a href="https://publications.waset.org/abstracts/search?q=fluid%E2%80%93structure%20interaction" title=" fluid–structure interaction"> fluid–structure interaction</a>, <a href="https://publications.waset.org/abstracts/search?q=wind%20turbine%20aerodynamics" title=" wind turbine aerodynamics"> wind turbine aerodynamics</a>, <a href="https://publications.waset.org/abstracts/search?q=wind%20turbine%20blade" title=" wind turbine blade"> wind turbine blade</a> </p> <a href="https://publications.waset.org/abstracts/59553/fluid-structure-interaction-modeling-of-wind-turbines" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/59553.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">268</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1731</span> Investigating the Flow Physics within Vortex-Shockwave Interactions</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Frederick%20Ferguson">Frederick Ferguson</a>, <a href="https://publications.waset.org/abstracts/search?q=Dehua%20Feng"> Dehua Feng</a>, <a href="https://publications.waset.org/abstracts/search?q=Yang%20Gao"> Yang Gao</a> </p> <p class="card-text"><strong>Abstract:</strong></p> No doubt, current CFD tools have a great many technical limitations, and active research is being done to overcome these limitations. Current areas of limitations include vortex-dominated flows, separated flows, and turbulent flows. In general, turbulent flows are unsteady solutions to the fluid dynamic equations, and instances of these solutions can be computed directly from the equations. One of the approaches commonly implemented is known as the ‘direct numerical simulation’, DNS. This approach requires a spatial grid that is fine enough to capture the smallest length scale of the turbulent fluid motion. This approach is called the ‘Kolmogorov scale’ model. It is of interest to note that the Kolmogorov scale model must be captured throughout the domain of interest and at a correspondingly small-time step. In typical problems of industrial interest, the ratio of the length scale of the domain to the Kolmogorov length scale is so great that the required grid set becomes prohibitively large. As a result, the available computational resources are usually inadequate for DNS related tasks. At this time in its development, DNS is not applicable to industrial problems. In this research, an attempt is made to develop a numerical technique that is capable of delivering DNS quality solutions at the scale required by the industry. To date, this technique has delivered preliminary results for both steady and unsteady, viscous and inviscid, compressible and incompressible, and for both high and low Reynolds number flow fields that are very accurate. Herein, it is proposed that the Integro-Differential Scheme (IDS) be applied to a set of vortex-shockwave interaction problems with the goal of investigating the nonstationary physics within the resulting interaction regions. In the proposed paper, the IDS formulation and its numerical error capability will be described. Further, the IDS will be used to solve the inviscid and viscous Burgers equation, with the goal of analyzing their solutions over a considerable length of time, thus demonstrating the unsteady capabilities of the IDS. Finally, the IDS will be used to solve a set of fluid dynamic problems related to flow that involves highly vortex interactions. Plans are to solve the following problems: the travelling wave and vortex problems over considerable lengths of time, the normal shockwave–vortex interaction problem for low supersonic conditions and the reflected oblique shock–vortex interaction problem. The IDS solutions obtained in each of these solutions will be explored further in efforts to determine the distributed density gradients and vorticity, as well as the Q-criterion. Parametric studies will be conducted to determine the effects of the Mach number on the intensity of vortex-shockwave interactions. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=vortex%20dominated%20flows" title="vortex dominated flows">vortex dominated flows</a>, <a href="https://publications.waset.org/abstracts/search?q=shockwave%20interactions" title=" shockwave interactions"> shockwave interactions</a>, <a href="https://publications.waset.org/abstracts/search?q=high%20Reynolds%20number" title=" high Reynolds number"> high Reynolds number</a>, <a href="https://publications.waset.org/abstracts/search?q=integro-differential%20scheme" title=" integro-differential scheme"> integro-differential scheme</a> </p> <a href="https://publications.waset.org/abstracts/109822/investigating-the-flow-physics-within-vortex-shockwave-interactions" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/109822.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">137</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1730</span> Nano Liquid Thin Film Flow over an Unsteady Stretching Sheet</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Prashant%20G.%20Metri">Prashant G. Metri</a> </p> <p class="card-text"><strong>Abstract:</strong></p> A numerical model is developed to study nano liquid film flow over an unsteady stretching sheet in the presence of hydromagnetic have been investigated. Similarity transformations are used to convert unsteady boundary layer equations to a system of non-linear ordinary differential equations. The resulting non-linear ordinary differential equations are solved numerically using Runge-Kutta-Fehlberg and Newton-Raphson schemes. A relationship between film thickness β and the unsteadiness parameter S is found, the effect of unsteadiness parameter S, and the hydromagnetic parameter S, on the velocity and temperature distributions are presented. The present analysis shows that the combined effect of magnetic field and viscous dissipation has a significant influence in controlling the dynamics of the considered problem. Comparison with known results for certain particular cases is in excellent agreement. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=boundary%20layer%20flow" title="boundary layer flow">boundary layer flow</a>, <a href="https://publications.waset.org/abstracts/search?q=nanoliquid" title=" nanoliquid"> nanoliquid</a>, <a href="https://publications.waset.org/abstracts/search?q=thin%20film" title=" thin film"> thin film</a>, <a href="https://publications.waset.org/abstracts/search?q=unsteady%20stretching%20sheet" title=" unsteady stretching sheet"> unsteady stretching sheet</a> </p> <a href="https://publications.waset.org/abstracts/55414/nano-liquid-thin-film-flow-over-an-unsteady-stretching-sheet" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/55414.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">257</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1729</span> Discontinuous Galerkin Method for Higher-Order Ordinary Differential Equations</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Helmi%20Temimi">Helmi Temimi</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, we study the super-convergence properties of the discontinuous Galerkin (DG) method applied to one-dimensional mth-order ordinary differential equations without introducing auxiliary variables. We found that nth−derivative of the DG solution exhibits an optimal O (hp+1−n) convergence rates in the L2-norm when p-degree piecewise polynomials with p≥1 are used. We further found that the odd-derivatives and the even derivatives are super convergent, respectively, at the upwind and downwind endpoints. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=discontinuous" title="discontinuous">discontinuous</a>, <a href="https://publications.waset.org/abstracts/search?q=galerkin" title=" galerkin"> galerkin</a>, <a href="https://publications.waset.org/abstracts/search?q=superconvergence" title=" superconvergence"> superconvergence</a>, <a href="https://publications.waset.org/abstracts/search?q=higherorder" title=" higherorder"> higherorder</a>, <a href="https://publications.waset.org/abstracts/search?q=error" title=" error"> error</a>, <a href="https://publications.waset.org/abstracts/search?q=estimates" title=" estimates"> estimates</a> </p> <a href="https://publications.waset.org/abstracts/25062/discontinuous-galerkin-method-for-higher-order-ordinary-differential-equations" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/25062.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">478</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1728</span> A Case Study of Control of Blast-Induced Ground Vibration on Adjacent Structures</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=H.%20Mahdavinezhad">H. Mahdavinezhad</a>, <a href="https://publications.waset.org/abstracts/search?q=M.%20Labbaf"> M. Labbaf</a>, <a href="https://publications.waset.org/abstracts/search?q=H.%20R.%20Tavakoli"> H. R. Tavakoli</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In recent decades, the study and control of the destructive effects of explosive vibration in construction projects has received more attention, and several experimental equations in the field of vibration prediction as well as allowable vibration limit for various structures are presented. Researchers have developed a number of experimental equations to estimate the peak particle velocity (PPV), in which the experimental constants must be obtained at the site of the explosion by fitting the data from experimental explosions. In this study, the most important of these equations was evaluated for strong massive conglomerates around Dez Dam by collecting data on explosions, including 30 particle velocities, 27 displacements, 27 vibration frequencies and 27 acceleration of earth vibration at different distances; they were recorded in the form of two types of detonation systems, NUNEL and electric. Analysis showed that the data from the explosion had the best correlation with the cube root of the explosive, R2=0.8636, but overall the correlation coefficients are not much different. To estimate the vibration in this project, data regression was performed in the other formats, which resulted in the presentation of new equation with R2=0.904 correlation coefficient. Finally according to the importance of the studied structures in order to ensure maximum non damage to adjacent structures for each diagram, a range of application was defined so that for distances 0 to 70 meters from blast site, exponent n=0.33 and for distances more than 70 m, n =0.66 was suggested. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=blasting" title="blasting">blasting</a>, <a href="https://publications.waset.org/abstracts/search?q=blast-induced%20vibration" title=" blast-induced vibration"> blast-induced vibration</a>, <a href="https://publications.waset.org/abstracts/search?q=empirical%20equations" title=" empirical equations"> empirical equations</a>, <a href="https://publications.waset.org/abstracts/search?q=PPV" title=" PPV"> PPV</a>, <a href="https://publications.waset.org/abstracts/search?q=tunnel" title=" tunnel"> tunnel</a> </p> <a href="https://publications.waset.org/abstracts/135874/a-case-study-of-control-of-blast-induced-ground-vibration-on-adjacent-structures" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/135874.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">131</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1727</span> Measure-Valued Solutions to a Class of Nonlinear Parabolic Equations with Degenerate Coercivity and Singular Initial Data</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Flavia%20Smarrazzo">Flavia Smarrazzo</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Initial-boundary value problems for nonlinear parabolic equations having a Radon measure as initial data have been widely investigated, looking for solutions which for positive times take values in some function space. On the other hand, if the diffusivity degenerates too fast at infinity, it is well known that function-valued solutions may not exist, singularities may persist, and it looks very natural to consider solutions which, roughly speaking, for positive times describe an orbit in the space of the finite Radon measures. In this general framework, our purpose is to introduce a concept of measure-valued solution which is consistent with respect to regularizing and smoothing approximations, in order to develop an existence theory which does not depend neither on the level of degeneracy of diffusivity at infinity nor on the choice of the initial measures. In more detail, we prove existence of suitably defined measure-valued solutions to the homogeneous Dirichlet initial-boundary value problem for a class of nonlinear parabolic equations without strong coerciveness. Moreover, we also discuss some qualitative properties of the constructed solutions concerning the evolution of their singular part, including conditions (depending both on the initial data and on the strength of degeneracy) under which the constructed solutions are in fact unction-valued or not. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=degenerate%20parabolic%20equations" title="degenerate parabolic equations">degenerate parabolic equations</a>, <a href="https://publications.waset.org/abstracts/search?q=measure-valued%20solutions" title=" measure-valued solutions"> measure-valued solutions</a>, <a href="https://publications.waset.org/abstracts/search?q=Radon%20measures" title=" Radon measures"> Radon measures</a>, <a href="https://publications.waset.org/abstracts/search?q=young%20measures" title=" young measures"> young measures</a> </p> <a href="https://publications.waset.org/abstracts/67367/measure-valued-solutions-to-a-class-of-nonlinear-parabolic-equations-with-degenerate-coercivity-and-singular-initial-data" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/67367.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">281</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1726</span> The Origin, Diffusion and a Comparison of Ordinary Differential Equations Numerical Solutions Used by SIR Model in Order to Predict SARS-CoV-2 in Nordic Countries</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Gleda%20Kutrolli">Gleda Kutrolli</a>, <a href="https://publications.waset.org/abstracts/search?q=Maksi%20Kutrolli"> Maksi Kutrolli</a>, <a href="https://publications.waset.org/abstracts/search?q=Etjon%20Meco"> Etjon Meco</a> </p> <p class="card-text"><strong>Abstract:</strong></p> SARS-CoV-2 virus is currently one of the most infectious pathogens for humans. It started in China at the end of 2019 and now it is spread in all over the world. The origin and diffusion of the SARS-CoV-2 epidemic, is analysed based on the discussion of viral phylogeny theory. With the aim of understanding the spread of infection in the affected countries, it is crucial to modelize the spread of the virus and simulate its activity. In this paper, the prediction of coronavirus outbreak is done by using SIR model without vital dynamics, applying different numerical technique solving ordinary differential equations (ODEs). We find out that ABM and MRT methods perform better than other techniques and that the activity of the virus will decrease in April but it never cease (for some time the activity will remain low) and the next cycle will start in the middle July 2020 for Norway and Denmark, and October 2020 for Sweden, and September for Finland. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=forecasting" title="forecasting">forecasting</a>, <a href="https://publications.waset.org/abstracts/search?q=ordinary%20differential%20equations" title=" ordinary differential equations"> ordinary differential equations</a>, <a href="https://publications.waset.org/abstracts/search?q=SARS-COV-2%20epidemic" title=" SARS-COV-2 epidemic"> SARS-COV-2 epidemic</a>, <a href="https://publications.waset.org/abstracts/search?q=SIR%20model" title=" SIR model"> SIR model</a> </p> <a href="https://publications.waset.org/abstracts/127146/the-origin-diffusion-and-a-comparison-of-ordinary-differential-equations-numerical-solutions-used-by-sir-model-in-order-to-predict-sars-cov-2-in-nordic-countries" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/127146.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">152</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1725</span> B Spline Finite Element Method for Drifted Space Fractional Tempered Diffusion Equation</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Ayan%20Chakraborty">Ayan Chakraborty</a>, <a href="https://publications.waset.org/abstracts/search?q=BV.%20Rathish%20Kumar"> BV. Rathish Kumar</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Off-late many models in viscoelasticity, signal processing or anomalous diffusion equations are formulated in fractional calculus. Tempered fractional calculus is the generalization of fractional calculus and in the last few years several important partial differential equations occurring in the different field of science have been reconsidered in this term like diffusion wave equations, Schr$\ddot{o}$dinger equation and so on. In the present paper, a time-dependent tempered fractional diffusion equation of order $\gamma \in (0,1)$ with forcing function is considered. Existence, uniqueness, stability, and regularity of the solution has been proved. Crank-Nicolson discretization is used in the time direction. B spline finite element approximation is implemented. Generally, B-splines basis are useful for representing the geometry of a finite element model, interfacing a finite element analysis program. By utilizing this technique a priori space-time estimate in finite element analysis has been derived and we proved that the convergent order is $\mathcal{O}(h²+T²)$ where $h$ is the space step size and $T$ is the time. A couple of numerical examples have been presented to confirm the accuracy of theoretical results. Finally, we conclude that the studied method is useful for solving tempered fractional diffusion equations. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=B-spline%20finite%20element" title="B-spline finite element">B-spline finite element</a>, <a href="https://publications.waset.org/abstracts/search?q=error%20estimates" title=" error estimates"> error estimates</a>, <a href="https://publications.waset.org/abstracts/search?q=Gronwall%27s%20lemma" title=" Gronwall's lemma"> Gronwall's lemma</a>, <a href="https://publications.waset.org/abstracts/search?q=stability" title=" stability"> stability</a>, <a href="https://publications.waset.org/abstracts/search?q=tempered%20fractional" title=" tempered fractional"> tempered fractional</a> </p> <a href="https://publications.waset.org/abstracts/99835/b-spline-finite-element-method-for-drifted-space-fractional-tempered-diffusion-equation" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/99835.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">192</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1724</span> Investigating the Dynamics of Knowledge Acquisition in Undergraduate Mathematics Students Using Differential Equations</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Gilbert%20Makanda">Gilbert Makanda</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The problem of the teaching of mathematics is studied using differential equations. A mathematical model for knowledge acquisition in mathematics is developed. In this study we adopt the mathematical model that is normally used for disease modelling in the teaching of mathematics. It is assumed that teaching is 'infecting' students with knowledge thereby spreading this knowledge to the students. It is also assumed that students who gain this knowledge spread it to other students making disease model appropriate to adopt for this problem. The results of this study show that increasing recruitment rates, learning contact with teachers and learning materials improves the number of knowledgeable students. High dropout rates and forgetting taught concepts also negatively affect the number of knowledgeable students. The developed model is then solved using Matlab ODE45 and \verb"lsqnonlin" to estimate parameters for the actual data. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=differential%20equations" title="differential equations">differential equations</a>, <a href="https://publications.waset.org/abstracts/search?q=knowledge%20acquisition" title=" knowledge acquisition"> knowledge acquisition</a>, <a href="https://publications.waset.org/abstracts/search?q=least%20squares" title=" least squares"> least squares</a>, <a href="https://publications.waset.org/abstracts/search?q=dynamical%20systems" title=" dynamical systems"> dynamical systems</a> </p> <a href="https://publications.waset.org/abstracts/34955/investigating-the-dynamics-of-knowledge-acquisition-in-undergraduate-mathematics-students-using-differential-equations" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/34955.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">423</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1723</span> An Approach to Solving Some Inverse Problems for Parabolic Equations</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Bolatbek%20Rysbaiuly">Bolatbek Rysbaiuly</a>, <a href="https://publications.waset.org/abstracts/search?q=Aliya%20S.%20Azhibekova"> Aliya S. Azhibekova</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Problems concerning the interpretation of the well testing results belong to the class of inverse problems of subsurface hydromechanics. The distinctive feature of such problems is that additional information is depending on the capabilities of oilfield experiments. Another factor that should not be overlooked is the existence of errors in the test data. To determine reservoir properties, some inverse problems for parabolic equations were investigated. An approach to solving the inverse problems based on the method of regularization is proposed. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=iterative%20approach" title="iterative approach">iterative approach</a>, <a href="https://publications.waset.org/abstracts/search?q=inverse%20problem" title=" inverse problem"> inverse problem</a>, <a href="https://publications.waset.org/abstracts/search?q=parabolic%20equation" title=" parabolic equation"> parabolic equation</a>, <a href="https://publications.waset.org/abstracts/search?q=reservoir%20properties" title=" reservoir properties"> reservoir properties</a> </p> <a href="https://publications.waset.org/abstracts/35084/an-approach-to-solving-some-inverse-problems-for-parabolic-equations" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/35084.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 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