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Author: Katherine Mer Publisher: ISBN: 9782726110492 Category : Languages : en Pages : 144
Book Description
LE TRAVAIL PRESENTE DANS CETTE THESE EST PRINCIPALEMENT UNE CONTRIBUTION A L'ANALYSE D'APPROXIMATIONS STABILISEES POUR DES PROBLEMES DE CONVECTION-DIFFUSION LINEAIRES. UNE ETUDE NUMERIQUE D'UN PROBLEME D'INTERACTION FLUIDE-STRUCTURE EST EGALEMENT PRESENTEE. POUR UNE EQUATION DE CONVECTION-DIFFUSION STATIONNAIRE, ON ANALYSE LA PRECISION D'UN SCHEMA ELEMENTS FINIS COMPORTANT UN TERME DE STABILISATION SOUS FORME DE DISSIPATION DU QUATRIEME ORDRE. DANS UNE PREMIERE PARTIE, ON SE RESTREINT A UNE ANALYSE POUR DES MAILLAGES SIMPLICIAUX REGULIERS AU SENS DES ELEMENTS FINIS. POUR UN PROBLEME DANS IR#N AVEC N 3, ON OBTIENT DES ESTIMATIONS DE L'ERREUR D'APPROXIMATION DANS L#2 ET DANS H#1 POUR UNE DISSIPATION SOUS FORME VARIATIONNELLE. DANS LE CAS BIDIMENSIONNEL, ON ETUDIE PLUS PARTICULIEREMENT UN SCHEMA DE TYPE JAMESON, COMPOSE D'UNE PARTIE CENTREE DE TYPE MIXTE ELEMENTS FINIS/VOLUMES FINIS ET D'UNE DISSIPATION EN DIFFERENCES QUATRIEMES NON CONSISTANTE. DANS UNE DEUXIEME PARTIE, ON CONSIDERE L'APPROXIMATION D'UN PROBLEME DE CONVECTION-DIFFUSION DONT LA SOLUTION PRESENTE DES COUCHES LIMITES. ON OBTIENT DES ESTIMATIONS D'ERREUR DANS LA NORME DE L'ENERGIE POUR UN SCHEMA ELEMENTS FINIS AVEC UNE DISSIPATION DU QUATRIEME ORDRE CONSISTANTE, POUR DES MAILLAGES TRIANGULAIRES LOCALEMENT ANISOTROPES DANS LES COUCHES LIMITES. LE SCHEMA ETUDIE EST COMPARE A DES SCHEMAS VOLUMES FINIS DU SECOND ORDRE. DANS UNE TROISIEME PARTIE, ON ANALYSE LA CONSISTANCE LOCALE DES SCHEMAS AYANT LA PROPRIETE DE PRESERVATION DE LA LINEARITE, SUR DES MAILLAGES NON STRUCTURES. UNE QUATRIEME PARTIE EST CONSACREE A L'ETUDE NUMERIQUE D'UN SCHEMA IMPLICITE LINEARISE DANS LE CADRE DE L'ANALYSE DU FLOTTEMENT D'UN PROFIL D'AILE DANS UN ECOULEMENT
Author: Katherine Mer Publisher: ISBN: 9782726110492 Category : Languages : en Pages : 144
Book Description
LE TRAVAIL PRESENTE DANS CETTE THESE EST PRINCIPALEMENT UNE CONTRIBUTION A L'ANALYSE D'APPROXIMATIONS STABILISEES POUR DES PROBLEMES DE CONVECTION-DIFFUSION LINEAIRES. UNE ETUDE NUMERIQUE D'UN PROBLEME D'INTERACTION FLUIDE-STRUCTURE EST EGALEMENT PRESENTEE. POUR UNE EQUATION DE CONVECTION-DIFFUSION STATIONNAIRE, ON ANALYSE LA PRECISION D'UN SCHEMA ELEMENTS FINIS COMPORTANT UN TERME DE STABILISATION SOUS FORME DE DISSIPATION DU QUATRIEME ORDRE. DANS UNE PREMIERE PARTIE, ON SE RESTREINT A UNE ANALYSE POUR DES MAILLAGES SIMPLICIAUX REGULIERS AU SENS DES ELEMENTS FINIS. POUR UN PROBLEME DANS IR#N AVEC N 3, ON OBTIENT DES ESTIMATIONS DE L'ERREUR D'APPROXIMATION DANS L#2 ET DANS H#1 POUR UNE DISSIPATION SOUS FORME VARIATIONNELLE. DANS LE CAS BIDIMENSIONNEL, ON ETUDIE PLUS PARTICULIEREMENT UN SCHEMA DE TYPE JAMESON, COMPOSE D'UNE PARTIE CENTREE DE TYPE MIXTE ELEMENTS FINIS/VOLUMES FINIS ET D'UNE DISSIPATION EN DIFFERENCES QUATRIEMES NON CONSISTANTE. DANS UNE DEUXIEME PARTIE, ON CONSIDERE L'APPROXIMATION D'UN PROBLEME DE CONVECTION-DIFFUSION DONT LA SOLUTION PRESENTE DES COUCHES LIMITES. ON OBTIENT DES ESTIMATIONS D'ERREUR DANS LA NORME DE L'ENERGIE POUR UN SCHEMA ELEMENTS FINIS AVEC UNE DISSIPATION DU QUATRIEME ORDRE CONSISTANTE, POUR DES MAILLAGES TRIANGULAIRES LOCALEMENT ANISOTROPES DANS LES COUCHES LIMITES. LE SCHEMA ETUDIE EST COMPARE A DES SCHEMAS VOLUMES FINIS DU SECOND ORDRE. DANS UNE TROISIEME PARTIE, ON ANALYSE LA CONSISTANCE LOCALE DES SCHEMAS AYANT LA PROPRIETE DE PRESERVATION DE LA LINEARITE, SUR DES MAILLAGES NON STRUCTURES. UNE QUATRIEME PARTIE EST CONSACREE A L'ETUDE NUMERIQUE D'UN SCHEMA IMPLICITE LINEARISE DANS LE CADRE DE L'ANALYSE DU FLOTTEMENT D'UN PROFIL D'AILE DANS UN ECOULEMENT
Author: Guan Heng Yeoh Publisher: Elsevier ISBN: 0080914896 Category : Computers Languages : en Pages : 658
Book Description
Mixed or multiphase flows of solid/liquid or solid/gas are commonly found in many industrial fields, and their behavior is complex and difficult to predict in many cases. The use of computational fluid dynamics (CFD) has emerged as a powerful tool for the understanding of fluid mechanics in multiphase reactors, which are widely used in the chemical, petroleum, mining, food, beverage and pharmaceutical industries. Computational Techniques for Multiphase Flows enables scientists and engineers to the undertand the basis and application of CFD in muliphase flow, explains how to use the technique, when to use it and how to interpret the results and apply them to improving aplications in process enginering and other multiphase application areas including the pumping, automotive and energy sectors. - Understandable guide to a complex subject - Important in many industries - Ideal for potential users of CFD
Author: Eleuterio F. Toro Publisher: Springer Science & Business Media ISBN: 366203915X Category : Technology & Engineering Languages : en Pages : 635
Book Description
High resolution upwind and centered methods are today a mature generation of computational techniques applicable to a wide range of engineering and scientific disciplines, Computational Fluid Dynamics (CFD) being the most prominent up to now. This textbook gives a comprehensive, coherent and practical presentation of this class of techniques. The book is designed to provide readers with an understanding of the basic concepts, some of the underlying theory, the ability to critically use the current research papers on the subject, and, above all, with the required information for the practical implementation of the methods. Applications include: compressible, steady, unsteady, reactive, viscous, non-viscous and free surface flows.
Author: Bernardo Cockburn Publisher: Springer Science & Business Media ISBN: 3642597211 Category : Mathematics Languages : en Pages : 468
Book Description
A class of finite element methods, the Discontinuous Galerkin Methods (DGM), has been under rapid development recently and has found its use very quickly in such diverse applications as aeroacoustics, semi-conductor device simula tion, turbomachinery, turbulent flows, materials processing, MHD and plasma simulations, and image processing. While there has been a lot of interest from mathematicians, physicists and engineers in DGM, only scattered information is available and there has been no prior effort in organizing and publishing the existing volume of knowledge on this subject. In May 24-26, 1999 we organized in Newport (Rhode Island, USA), the first international symposium on DGM with equal emphasis on the theory, numerical implementation, and applications. Eighteen invited speakers, lead ers in the field, and thirty-two contributors presented various aspects and addressed open issues on DGM. In this volume we include forty-nine papers presented in the Symposium as well as a survey paper written by the organiz ers. All papers were peer-reviewed. A summary of these papers is included in the survey paper, which also provides a historical perspective of the evolution of DGM and its relation to other numerical methods. We hope this volume will become a major reference in this topic. It is intended for students and researchers who work in theory and application of numerical solution of convection dominated partial differential equations. The papers were written with the assumption that the reader has some knowledge of classical finite elements and finite volume methods.
Author: Christopher Alan Kennedy Publisher: ISBN: Category : Differential equations Languages : en Pages : 56
Book Description
Additive Runge-Kutta (ARK) methods are investigated for application to the spatially discretized one-dimensional convection-diffusion-reaction (CDR) equations. First, accuracy, stability, conservation, and dense output are considered for the general case when N different Runge-Kutta methods are grouped into a single composite method. Then, implicit-explicit, N=2, additive Runge-Kutta ARK methods from third- to fifth-order are presented that allow for integration of stiff terms by an L-stable, stiffly-accurate explicit, singly diagonally implicit Runge-Kutta (ESDIRK) method while the nonstiff terms are integrated with a traditional explicit Runge-Kutta method (ERK). Coupling error terms are of equal order to those of the elemental methods. Derived ARK methods have vanishing stability functions for very large values of the stiff scaled eigenvalue and retain high stability efficiency in the absence of stiffness.
Author: Daniele Antonio Di Pietro Publisher: Springer Nature ISBN: 3030372030 Category : Mathematics Languages : en Pages : 552
Book Description
This monograph provides an introduction to the design and analysis of Hybrid High-Order methods for diffusive problems, along with a panel of applications to advanced models in computational mechanics. Hybrid High-Order methods are new-generation numerical methods for partial differential equations with features that set them apart from traditional ones. These include: the support of polytopal meshes, including non-star-shaped elements and hanging nodes; the possibility of having arbitrary approximation orders in any space dimension; an enhanced compliance with the physics; and a reduced computational cost thanks to compact stencil and static condensation. The first part of the monograph lays the foundations of the method, considering linear scalar second-order models, including scalar diffusion – possibly heterogeneous and anisotropic – and diffusion-advection-reaction. The second part addresses applications to more complex models from the engineering sciences: non-linear Leray-Lions problems, elasticity, and incompressible fluid flows. This book is primarily intended for graduate students and researchers in applied mathematics and numerical analysis, who will find here valuable analysis tools of general scope.
Author: Jan S. Hesthaven Publisher: Springer Science & Business Media ISBN: 0387720650 Category : Mathematics Languages : en Pages : 507
Book Description
This book offers an introduction to the key ideas, basic analysis, and efficient implementation of discontinuous Galerkin finite element methods (DG-FEM) for the solution of partial differential equations. It covers all key theoretical results, including an overview of relevant results from approximation theory, convergence theory for numerical PDE’s, and orthogonal polynomials. Through embedded Matlab codes, coverage discusses and implements the algorithms for a number of classic systems of PDE’s: Maxwell’s equations, Euler equations, incompressible Navier-Stokes equations, and Poisson- and Helmholtz equations.
Author: Katherine Mer
Author: Katherine Mer
Author: Guan Heng Yeoh
Author: Eleuterio F. Toro
Author: 
Author: Bernardo Cockburn
Author: 
Author: Christopher Alan Kennedy
Author: 
Author: Daniele Antonio Di Pietro
Author: Jan S. Hesthaven