Download or read book R solution du probl me de stokes par une m thode multigrille written by Sylvie Martel and published by . This book was released on 1988 with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Une m thode multigrille pour la r solution des quations de Navier Stokes compressible en deux dimensions par des l ments finis written by Françoise Angrand and published by . This book was released on 1986 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Une nouvelle classe de m thodes multigrilles pour les probl mes mixtes written by Philippe Nigon and published by . This book was released on 1984 with total page 126 pages. Available in PDF, EPUB and Kindle. Book excerpt: Pour résoudre des problèmes de type mixte, de matrice (A B**(T)/B 0), par des méthodes multigrilles, on propose d'utiliser comme lisseurs des variantes de la méthode d'Uzawa. Dans le cas de la méthode d'Uzawa on établit la propriété de lissage et on démontre la convergence indépendante de H en suivant une étude W. Hackbusch. On applique ce type de méthodes au problème de Stokes bidimensionnel, discrétisé par le schéma classique. On effectue de nombreux essais numériques et on teste l'influence des différents paramètres sur l'efficacité des méthodes 2-grilles, multigrilles et "full-multigrilles". Avec un bon choix des paramètres, on obtient une meilleure efficacité avec ces méthodes, qu'en utilisant le lisseur de "relaxation distribuée" de A. Brandt. On teste des systèmes jusqu'à un nombre d'inconnues de l'ordre de 200 000 et on observe les comportements asymptotiques classiques en 0 (Nlog N) pour les méthodes multigrilles et 0(N) pour la version FMG. Le solveur rapide de Stokes obtenu pourrait être appliqué à la résolution des équations de Navier-Stokes, et les méthodes proposées étendues à d'autres problèmes mixtes.
Download or read book Numerical Solution of the Incompressible Navier Stokes Equations written by L. Quartapelle and published by Birkhäuser. This book was released on 2013-03-07 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents different formulations of the equations governing incompressible viscous flows, in the form needed for developing numerical solution procedures. The conditions required to satisfy the no-slip boundary conditions in the various formulations are discussed in detail. Rather than focussing on a particular spatial discretization method, the text provides a unitary view of several methods currently in use for the numerical solution of incompressible Navier-Stokes equations, using either finite differences, finite elements or spectral approximations. For each formulation, a complete statement of the mathematical problem is provided, comprising the various boundary, possibly integral, and initial conditions, suitable for any theoretical and/or computational development of the governing equations. The text is suitable for courses in fluid mechanics and computational fluid dynamics. It covers that part of the subject matter dealing with the equations for incompressible viscous flows and their determination by means of numerical methods. A substantial portion of the book contains new results and unpublished material.
Download or read book M thodes de gradient conjugu pr conditionn et techniques multigrilles pour la r solution du probl me de stokes par l ments finis mixtes Q1 PO stabilis s written by Christian Vincent and published by . This book was released on 1991 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt: DANS CETTE THESE, NOUS PRESENTONS DIFFERENTS SOLVEURS DE STOKES PAR ELEMENTS FINIS MIXTES Q1-P0 STABILISES. PLUSIEURS METHODES DE GRADIENT CONJUGUE (AVEC PRECONDITIONNEUR DE TYPE MACRO-BLOCS) ET TECHNIQUES MULTIGRILLES, ONT ETE PROPOSEES POUR UNE FORMULATION MIXTE OU DUALE DE CE PROBLEME. EN APPLICATION, NOUS UTILISONS LE SOLVEUR DE STOKES PAR FORMULATION DUALE STABILISEE POUR LA RESOLUTION DE CERTAINS PROBLEMES NON LINEAIRES (ECOULEMENT DE NAVIER-STOKES, FLUIDES QUASI-NEWTONIENS)
Download or read book R solution num rique des quations de stokes en sym trie de r volution par une m thode d l ments finis non conformes written by Patrick Lailly and published by . This book was released on 1976 with total page 125 pages. Available in PDF, EPUB and Kindle. Book excerpt: Etude du problème continu : espaces de Sobolev relatifs à la mesure R**(alpha )DRDZ, un théorème de traces, étude des espaces de fonctions à divergence nulle, existence et unicité de la solution du problème de Stokes, autre formulation du problème de l'équation radiale. Approximation du problème : la méthode des éléments finis non conformes, approximation des espaces de Sobolev relatifs à la mesure R**(alpha )DRDZ par des éléments finis non conformes, approximation du problème de Stokes en symétrie de révolution, discrétisation de la formulation variationnelle naturelle, validité du schéma approche proposé.
Download or read book Advanced Concepts and Techniques in Thermal Modelling written by Denis Lemonnier and published by Elsevier Science & Technology. This book was released on 1996 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book RESOLUTION DES EQUATIONS DE NAVIER STOKES PAR UNE METHODE D ELEMENTS FINIS written by BRIGITTE.. IBLER and published by . This book was released on 1981 with total page 81 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Download or read book Numerical Methods for Nonlinear Variational Problems written by Roland Glowinski and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 506 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes the mathematical background and reviews the techniques for solving problems, including those that require large computations such as transonic flows for compressible fluids and the Navier-Stokes equations for incompressible viscous fluids. Finite element approximations and non-linear relaxation, and nonlinear least square methods are all covered in detail, as are many applications. This volume is a classic in a long-awaited softcover re-edition.
Download or read book Multigrid Methods written by James H Bramble and published by CRC Press. This book was released on 1993-10-18 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt: Multigrid methods are among the most efficient iterative methods for the solution of linear systems which arise in many large scale scientific calculations. Every researcher working with the numerical solution of partial differential equations should at least be familiar with this powerful technique. This invaluable book presents results concerning the rates of convergence of multigrid iterations.
Download or read book R solution du probl me de Stokes par une m thode de d composition de domaines written by Annie Fischler and published by . This book was released on 1985 with total page 149 pages. Available in PDF, EPUB and Kindle. Book excerpt: DANS LE CADRE DE LA RESOLUTION D'UN PROBLEME DE TYPE POISSON, ON PRESENTE LE PRINCIPE DE CETTE DECOMPOSITION QUI SERA ENSUITE APPLIQUEE AU PROBLEME DE STOKES. ON MONTRE ENSUITE DE QUELLE MANIERE CETTE METHODE, DANS SA VERSION QUASI-DIRECTE APPLIQUEE A DES PROBLEMES DE POISSON ET/OU DE STOKES, PEUT S'INSERER DANS UN ALGORITHME DE TYPE ADI DE RESOLUTION DES EQUATIONS DE NAVIER-STOKES EN ELEMENTS FINIS. ON DEFINIT NOTAMMENT UN TRAITEMENT "LOCAL" DU PROBLEME DE CONVECTION ISSU DE CET ALGORITHME EN PRECISANT CES LIMITES
Download or read book High Order Methods for Incompressible Fluid Flow written by M. O. Deville and published by Cambridge University Press. This book was released on 2002-08-15 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt: Publisher Description
Download or read book Application de la m thode multigrid la solution des quations de Navier Stokes written by Ricardo Camarero and published by Montréal : École polytechnique de Montréal. This book was released on 1980 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book RESOLUTION PAR LA METHODE DES ELEMENTS FINIS DES EQUATIONS DE NAVIER STOKES EN FORMULATION FONCTION DE COURANT TOURBILLON written by FATTH-ALLAH.. GHADI and published by . This book was released on 1994 with total page 118 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Download or read book Lectures on Numerical Methods for Non Linear Variational Problems written by R. Glowinski and published by Springer Science & Business Media. This book was released on 2008-01-22 with total page 507 pages. Available in PDF, EPUB and Kindle. Book excerpt: When Herb Keller suggested, more than two years ago, that we update our lectures held at the Tata Institute of Fundamental Research in 1977, and then have it published in the collection Springer Series in Computational Physics, we thought, at first, that it would be an easy task. Actually, we realized very quickly that it would be more complicated than what it seemed at first glance, for several reasons: 1. The first version of Numerical Methods for Nonlinear Variational Problems was, in fact, part of a set of monographs on numerical mat- matics published, in a short span of time, by the Tata Institute of Fun- mental Research in its well-known series Lectures on Mathematics and Physics; as might be expected, the first version systematically used the material of the above monographs, this being particularly true for Lectures on the Finite Element Method by P. G. Ciarlet and Lectures on Optimization—Theory and Algorithms by J. Cea. This second version had to be more self-contained. This necessity led to some minor additions in Chapters I-IV of the original version, and to the introduction of a chapter (namely, Chapter Y of this book) on relaxation methods, since these methods play an important role in various parts of this book.
Download or read book RAIRO Mathematical modelling and numerical analysis written by and published by . This book was released on 1997 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Spectral Methods in Fluid Dynamics written by Claudio Canuto and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 582 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a book about spectral methods for partial differential equations: when to use them, how to implement them, and what can be learned from their of spectral methods has evolved rigorous theory. The computational side vigorously since the early 1970s, especially in computationally intensive of the more spectacular applications are applications in fluid dynamics. Some of the power of these discussed here, first in general terms as examples of the methods have been methods and later in great detail after the specifics covered. This book pays special attention to those algorithmic details which are essential to successful implementation of spectral methods. The focus is on algorithms for fluid dynamical problems in transition, turbulence, and aero dynamics. This book does not address specific applications in meteorology, partly because of the lack of experience of the authors in this field and partly because of the coverage provided by Haltiner and Williams (1980). The success of spectral methods in practical computations has led to an increasing interest in their theoretical aspects, especially since the mid-1970s. Although the theory does not yet cover the complete spectrum of applications, the analytical techniques which have been developed in recent years have facilitated the examination of an increasing number of problems of practical interest. In this book we present a unified theory of the mathematical analysis of spectral methods and apply it to many of the algorithms in current use.
