Resolution des équations de Navier-Stokes par une méthode d'éléments finis PDF Download
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Author: Michel Borrel
Publisher:
ISBN:
Category : Laminar flow
Languages : fr
Pages : 112
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Author: Michel Borrel
Publisher:
ISBN:
Category : Laminar flow
Languages : fr
Pages : 112
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Author: Jean-Claude Benazeth
Publisher:
ISBN:
Category :
Languages : fr
Pages : 173
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Author: BRIGITTE.. IBLER
Publisher:
ISBN:
Category :
Languages : fr
Pages : 81
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FORMULATION VITESSE-PRESSION. PROPOSITION D'UNE METHODE DE RESOLUTION BASEE SUR LE TRAITEMENT SEPARE DES TERMES CONVECTIFS. CE PROCEDE PERMET DE PRENDRE EN COMPTE LE CARACTERE HYPERBOLIQUE DE LA CONVECTION ET PAR CONSEQUENT D'OBTENIR DES RESULTATS POUR DES NOMBRES DE REYNOLDS ELEVES. L'EQUATION DE CONVECTION EST RESOLUE PAR UNE METHODE DES CARACTERISTIQUES. ETUDE DU PROBLEME DE STOKES. LES SYSTEMES LINEAIRES SONT RESOLUS PAR UNE METHODE DE GRADIENT CONJUGUE PRECONDITIONNE. RESULTATS NUMERIQUES POUR UNE CAVITE AUX PAROIS MOBILES, UN JET ENTRANT DANS UNE CAVITE ET L'ECOULEMENT AUTOUR D'UN CYLINDRE
Author: Michel Borrel (Mathématicien)
Publisher:
ISBN:
Category :
Languages : fr
Pages : 112
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Author: F. Thomasset
Publisher: Springer Science & Business Media
ISBN: 3642870473
Category : Science
Languages : en
Pages : 168
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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.
Author: Jean-Claude Benazeth
Publisher:
ISBN:
Category :
Languages : fr
Pages :
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Author: Jean-Claude Benazeth (auteur d'une thèse de sciences.)
Publisher:
ISBN:
Category :
Languages : fr
Pages : 346
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Author: P. Guillaume
Publisher:
ISBN:
Category : Navier-Stokes equations
Languages : fr
Pages : 130
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Author: Vivette Girault
Publisher: Springer Science & Business Media
ISBN: 3642616232
Category : Mathematics
Languages : en
Pages : 386
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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].
Author: François Thomasset
Publisher:
ISBN:
Category :
Languages : fr
Pages : 70
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