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Finite elements volumes methods: applications to the Navier-Stokes equations and convergence results; Methodes de volumes elements finis: applications aux equations de Navier Stokes et resultats de convergence

Abstract

In the first chapter are described the equations modeling incompressible fluid flow and a quick presentation of finite volumes method. The second chapter is an introduction to the finite elements volumes method. The box model is described and a method adapted to Navier-Stokes problems is proposed. The third chapter shows a fault analysis of the finite elements volumes method for the Laplacian problem and some examples in one, two, three dimensional calculations. The fourth chapter is an extension of the error analysis of the method for the Navier-Stokes problem. [French] Dans le premier chapitre, on etablit les equations modelisant les ecoulements de fluides incompressibles sous forme d'equations de bilan et on presente brievement les principes des methodes de Volumes Finis. Le second chapitre se veut une introduction aux methodes de Volumes Elements Finis. On y decrit la Box Method et on propose une methode de Volumes Elements Finis adaptee aux problemes de Stokes et de Navier Stokes. Cette derniere methode est decrite en detail et on donne des resultats numeriques obtenus sur deux cas test classiques. Le troisieme chapitre presente une analyse d'erreur de la methode des Volumes Elements Finis pour le probleme du Laplacien, et des applications en dimension  More>>
Authors:
Publication Date:
Dec 03, 1992
Product Type:
Thesis/Dissertation
Report Number:
FRCEA-TH-411
Reference Number:
SCA: 420400; 990200; PA: AIX-26:010804; EDB-95:030714; SN: 95001323908
Resource Relation:
Other Information: This record replaces 26010804; Also available from the INIS Liaison Officer for France, see the INIS website for current contact and E-mail addresses; These (D. es Sc.)
Subject:
42 ENGINEERING; BOX MODELS; FINITE ELEMENT METHOD; HYDRAULICS; INCOMPRESSIBLE FLOW; LAPLACIAN; MATHEMATICAL MODELS; NAVIER-STOKES EQUATIONS; ONE-DIMENSIONAL CALCULATIONS; SIMULATION; T CODES; THERMODYNAMICS; THREE-DIMENSIONAL CALCULATIONS; TWO-DIMENSIONAL CALCULATIONS; VOLUME; 420400; 990200; HEAT TRANSFER AND FLUID FLOW; MATHEMATICS AND COMPUTERS
OSTI ID:
10111420
Research Organizations:
CEA Centre d'Etudes de Grenoble, 38 (France). Dept. de Thermohydraulique et de Physique; Lyon-1 Univ., 69 - Villeurbanne (France)
Country of Origin:
France
Language:
French
Other Identifying Numbers:
TRN: FR9402391010804
Availability:
Available from INIS in electronic form
Submitting Site:
INIS
Size:
125 page(s)
Announcement Date:
Feb 16, 1995

Citation Formats

Emonot, Philippe. Finite elements volumes methods: applications to the Navier-Stokes equations and convergence results; Methodes de volumes elements finis: applications aux equations de Navier Stokes et resultats de convergence. France: N. p., 1992. Web.
Emonot, Philippe. Finite elements volumes methods: applications to the Navier-Stokes equations and convergence results; Methodes de volumes elements finis: applications aux equations de Navier Stokes et resultats de convergence. France.
Emonot, Philippe. 1992. "Finite elements volumes methods: applications to the Navier-Stokes equations and convergence results; Methodes de volumes elements finis: applications aux equations de Navier Stokes et resultats de convergence." France.
@misc{etde_10111420,
title = {Finite elements volumes methods: applications to the Navier-Stokes equations and convergence results; Methodes de volumes elements finis: applications aux equations de Navier Stokes et resultats de convergence}
author = {Emonot, Philippe}
abstractNote = {In the first chapter are described the equations modeling incompressible fluid flow and a quick presentation of finite volumes method. The second chapter is an introduction to the finite elements volumes method. The box model is described and a method adapted to Navier-Stokes problems is proposed. The third chapter shows a fault analysis of the finite elements volumes method for the Laplacian problem and some examples in one, two, three dimensional calculations. The fourth chapter is an extension of the error analysis of the method for the Navier-Stokes problem. [French] Dans le premier chapitre, on etablit les equations modelisant les ecoulements de fluides incompressibles sous forme d'equations de bilan et on presente brievement les principes des methodes de Volumes Finis. Le second chapitre se veut une introduction aux methodes de Volumes Elements Finis. On y decrit la Box Method et on propose une methode de Volumes Elements Finis adaptee aux problemes de Stokes et de Navier Stokes. Cette derniere methode est decrite en detail et on donne des resultats numeriques obtenus sur deux cas test classiques. Le troisieme chapitre presente une analyse d'erreur de la methode des Volumes Elements Finis pour le probleme du Laplacien, et des applications en dimension un, deux ou trois. Le quatrieme chapitre prolonge les techniques du chapitre trois pour faire une analyse d'erreur de la methode des Volumes Elements Finis pour le probleme de Stokes. (auteur)}
place = {France}
year = {1992}
month = {Dec}
}