Author: Jean-Claude BenazethPublisher:
ISBN:
Category :
Languages : fr
Pages :
Book Description
Résolutions des équations de Navier Stokes stationnaires par une méthode d'éléments finis mixtes
Author: Jean-Claude BenazethRésolution des équations de Navier Stokes stationnaires par une méthode d'éléments finis mixtes
Author: Jean-Claude BenazethPublisher:
ISBN:
Category :
Languages : fr
Pages : 173
Book Description
Résolution des équations de Navier-Stokes stationnaires par une méthode d'éléments finis mixtes
Author: Jean-Claude Benazeth (auteur d'une thèse de sciences.)Publisher:
ISBN:
Category :
Languages : fr
Pages : 346
Book Description
Implementation of Finite Element Methods for Navier-Stokes Equations
Author: F. ThomassetPublisher: Springer Science & Business Media
ISBN: 3642870473
Category : Science
Languages : en
Pages : 168
Book Description
In structure mechanics analysis, finite element methods are now well estab lished and well documented techniques; their advantage lies in a higher flexibility, in particular for: (i) The representation of arbitrary complicated boundaries; (ii) Systematic rules for the developments of stable numerical schemes ap proximating mathematically wellposed problems, with various types of boundary conditions. On the other hand, compared to finite difference methods, this flexibility is paid by: an increased programming complexity; additional storage require ment. The application of finite element methods to fluid mechanics has been lagging behind and is relatively recent for several types of reasons: (i) Historical reasons: the early methods were invented by engineers for the analysis of torsion, flexion deformation of bearns, plates, shells, etc ... (see the historics in Strang and Fix (1972) or Zienckiewicz (1977». (ii) Technical reasons: fluid flow problems present specific difficulties: strong gradients,l of the velocity or temperature for instance, may occur which a finite mesh is unable to properly represent; a remedy lies in the various upwind finite element schemes which recently turned up, and which are reviewed in chapter 2 (yet their effect is just as controversial as in finite differences). Next, waves can propagate (e.g. in ocean dynamics with shallowwaters equations) which will be falsely distorted by a finite non regular mesh, as Kreiss (1979) pointed out. We are concerned in this course with the approximation of incompressible, viscous, Newtonian fluids, i.e. governed by N avier Stokes equations.
Finite Element Methods for Navier-Stokes Equations
Author: Vivette GiraultPublisher: Springer Science & Business Media
ISBN: 3642616232
Category : Mathematics
Languages : en
Pages : 386
Book Description
The material covered by this book has been taught by one of the authors in a post-graduate course on Numerical Analysis at the University Pierre et Marie Curie of Paris. It is an extended version of a previous text (cf. Girault & Raviart [32J) published in 1979 by Springer-Verlag in its series: Lecture Notes in Mathematics. In the last decade, many engineers and mathematicians have concentrated their efforts on the finite element solution of the Navier-Stokes equations for incompressible flows. The purpose of this book is to provide a fairly comprehen sive treatment of the most recent developments in that field. To stay within reasonable bounds, we have restricted ourselves to the case of stationary prob lems although the time-dependent problems are of fundamental importance. This topic is currently evolving rapidly and we feel that it deserves to be covered by another specialized monograph. We have tried, to the best of our ability, to present a fairly exhaustive treatment of the finite element methods for inner flows. On the other hand however, we have entirely left out the subject of exterior problems which involve radically different techniques, both from a theoretical and from a practical point of view. Also, we have neither discussed the implemen tation of the finite element methods presented by this book, nor given any explicit numerical result. This field is extensively covered by Peyret & Taylor [64J and Thomasset [82].
Résolution des équations de Navier Stokes dans le cas stationnaire
Author: P. GuillaumePublisher:
ISBN:
Category : Navier-Stokes equations
Languages : fr
Pages : 130
Book Description
Méthode d'éléments finis mixtes pour les équations de Navier-Stokes
Author: Christine BernardiPublisher:
ISBN:
Category :
Languages : fr
Pages : 176
Book Description
Régularité des équations de Stokes et de Navier-Stokes. Méthodes d'éléments finis mixtes pour les équations de Stokes, pour les équations de Navier-Stokes. Formulation variationnelle mixte des équations de Navier-Stokes en dimension 3.
RESOLUTION PAR LA METHODE DES ELEMENTS FINIS DES EQUATIONS DE NAVIER-STOKES EN FORMULATION FONCTION DE COURANT TOURBILLON
Author: FATTH-ALLAH.. GHADIPublisher:
ISBN:
Category :
Languages : fr
Pages : 118
Book Description
DANS CE TRAVAIL, NOUS PROPOSONS UNE METHODE MIXTE EN FONCTION DE COURANT-TOURBILLON POUR RESOUDRE LE PROBLEME DE STOKES DANS DES DOMAINES BORNES REGULIERS DE R. NOUS ETABLISSONS PAR LA SUITE DES ESTIMATIONS D'ERREUR DANS LE CADRE DES FORMULATIONS MIXTES CLASSIQUES. DU POINT DE VUE NUMERIQUE, NOUS METTONS EN UVRE UNE METHODE BASEE SUR L'APPROXIMATION D'UNE BASE HARMONIQUE POUR RESOUDRE LE PROBLEME DE STOKES. PAR AILLEURS NOUS ETENDONS CETTE METHODE AU CAS DU PROBLEME DE NAVIER-STOKES ET AFIN DE COMBATTRE LA CONVECTION DOMINANTE NOUS FAISONS APPEL A LA TECHNIQUE DE PETROV-GALERKIN
Navier—Stokes Equations
Author: Roger TemamPublisher: Elsevier
ISBN: 1483256855
Category : Mathematics
Languages : en
Pages : 539
Book Description
Navier-Stokes Equations: Theory and Numerical Analysis focuses on the processes, methodologies, principles, and approaches involved in Navier-Stokes equations, computational fluid dynamics (CFD), and mathematical analysis to which CFD is grounded. The publication first takes a look at steady-state Stokes equations and steady-state Navier-Stokes equations. Topics include bifurcation theory and non-uniqueness results, discrete inequalities and compactness theorems, existence and uniqueness theorems, discretization of Stokes equations, existence and uniqueness for the Stokes equations, and function spaces. The text then examines the evolution of Navier-Stokes equations, including linear case, compactness theorems, alternate proof of existence by semi-discretization, and discretization of the Navier-Stokes equations. The book ponders on the approximation of the Navier-Stokes equations by the projection and compressibility methods; properties of the curl operator and application to the steady-state Navier-Stokes equations; and implementation of non-conforming linear finite elements. The publication is a valuable reference for researchers interested in the theory and numerical analysis of Navier-Stokes equations.
Author: Michel Fortin