Comparisons of several upwind schemes for multi-component one-dimensional inviscid flows

Didier Chargy; Remi Abgrall; Loula Fatima Fezoui; Bernard Larrouturou

inria-00075305, version 1

Comparisons of several upwind schemes for multi-component one-dimensional inviscid flows

Didier Chargy ^1, 2, Remi Abgrall () ¹, Loula Fatima Fezoui () ¹, Bernard Larrouturou ^1, 2

N° RR-1253 (1990)

Résumé : We present detailed comparisons of three classes of numerical schemes for the computation of mixtures flows. The differences between these schemes mainly concern the discrete coupling between the Euler equations (written for the mixture) and the additional conservation equations which describe the convection of the gaseous species. The best results are given by the class of schemes which preserve the maximum principle for the mass fractions of all species.

1 : INRIA Sophia Antipolis (INRIA Sophia Antipolis)
INRIA
2 : Centre d'Enseignement et de Recherche en Mathématiques, Informatique et Calcul Scientifique (CERMICS)
INRIA – Ecole des Ponts ParisTech

inria-00075305, version 1
http://hal.inria.fr/inria-00075305
oai:hal.inria.fr:inria-00075305
Contributeur : Rapport De Recherche Inria <>
Soumis le : Mercredi 24 Mai 2006, 17:54:41
Dernière modification le : Jeudi 22 Février 2007, 16:58:07

Voir la fiche détaillée

Documents associés

PS :

PDF :

Exporter

Bibtex EndNote TEI RefWorks

<?xml version="1.0" encoding="UTF-8"?>
<listBibl xmlns="http://www.tei-c.org/ns/1.0" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:mml="http://www.w3.org/1998/Math/MathML">
<listBibl type="report"><head>Rapports</head>
<biblStruct type="report" xml:id="inria-00075305"><monogr>
<author><persName><forename>Didier</forename><surname>Chargy</surname></persName>
<affiliation>
<orgName type="laboratory">INRIA Sophia Antipolis</orgName>
<orgName type="team">INRIA Sophia Antipolis</orgName>
<country>FR</country>
<orgName type="institution">INRIA</orgName>
</affiliation>
<affiliation>
<orgName type="laboratory">CERMICS</orgName>
<orgName type="team">Centre d'Enseignement et de Recherche en Mathématiques, Informatique et Calcul Scientifique</orgName>
<country>FR</country>
<orgName type="institution">INRIA</orgName>
<orgName type="institution">Ecole des Ponts ParisTech</orgName>
</affiliation>
</author>
<author><persName><forename>Remi</forename><surname>Abgrall</surname></persName>
<affiliation>
<orgName type="laboratory">INRIA Sophia Antipolis</orgName>
<orgName type="team">INRIA Sophia Antipolis</orgName>
<country>FR</country>
<orgName type="institution">INRIA</orgName>
</affiliation>
</author>
<author><persName><forename>Loula</forename><surname>Fezoui</surname></persName>
<affiliation>
<orgName type="laboratory">INRIA Sophia Antipolis</orgName>
<orgName type="team">INRIA Sophia Antipolis</orgName>
<country>FR</country>
<orgName type="institution">INRIA</orgName>
</affiliation>
</author>
<author><persName><forename>Bernard</forename><surname>Larrouturou</surname></persName>
<affiliation>
<orgName type="laboratory">INRIA Sophia Antipolis</orgName>
<orgName type="team">INRIA Sophia Antipolis</orgName>
<country>FR</country>
<orgName type="institution">INRIA</orgName>
</affiliation>
<affiliation>
<orgName type="laboratory">CERMICS</orgName>
<orgName type="team">Centre d'Enseignement et de Recherche en Mathématiques, Informatique et Calcul Scientifique</orgName>
<country>FR</country>
<orgName type="institution">INRIA</orgName>
<orgName type="institution">Ecole des Ponts ParisTech</orgName>
</affiliation>
</author>
<title type="main" level="m">Comparisons of several upwind schemes for multi-component one-dimensional inviscid flows</title><title type="main" level="m">Comparisons of several upwind schemes for multi-component one-dimensional inviscid flows</title><imprint><biblScope type="publicationDate">1990-00-00</biblScope></imprint></monogr><idno type="HALid">http://hal.inria.fr/inria-00075305</idno><idno type="HALFile">http://hal.inria.fr/inria-00075305/PDF/RR-1253.pdf</idno></biblStruct>
</listBibl>
</listBibl>