Well‐posedness of incompressible models of two‐ and three‐phase flow
Identifieur interne : 000224 ( Main/Exploration ); précédent : 000223; suivant : 000225Well‐posedness of incompressible models of two‐ and three‐phase flow
Auteurs : M. Louaked [France] ; L. Hanich [Royaume-Uni, France] ; C. P. Thompson [Royaume-Uni, France]Source :
- IMA Journal of Applied Mathematics [ 0272-4960 ] ; 2003-12.
English descriptors
Abstract
In this paper the Hadamard well‐posedness of incompressible multiphase flow systems is addressed. We determine the hydrodynamic conditions under which these systems are hyperbolic, stable and possess a unique short‐time solution provided the initial data are in an appropriate Sobolev space and the source terms in a class of sufficiently differentiable functions. An accurate and efficient numerical method coupled with an adaptive mesh strategy, for predicting the evolution of flow phenomena, is presented. Numerical predictions of transient‐ and steady‐flow problems in pipelines are compared with available experimental data.
Url:
DOI: 10.1093/imamat/68.6.595
Affiliations:
Links toward previous steps (curation, corpus...)
Le document en format XML
<record><TEI wicri:istexFullTextTei="biblStruct"><teiHeader><fileDesc><titleStmt><title xml:lang="en">Well‐posedness of incompressible models of two‐ and three‐phase flow</title><author><name sortKey="Louaked, M" sort="Louaked, M" uniqKey="Louaked M" first="M." last="Louaked">M. Louaked</name></author><author><name sortKey="Hanich, L" sort="Hanich, L" uniqKey="Hanich L" first="L." last="Hanich">L. Hanich</name></author><author><name sortKey="Thompson, C P" sort="Thompson, C P" uniqKey="Thompson C" first="C. P." last="Thompson">C. P. Thompson</name></author></titleStmt><publicationStmt><idno type="wicri:source">ISTEX</idno><idno type="RBID">ISTEX:8C2D08B51C730144AE26F7042B21CA72EC8B2C27</idno><date when="2003" year="2003">2003</date><idno type="doi">10.1093/imamat/68.6.595</idno><idno type="url">https://api.istex.fr/document/8C2D08B51C730144AE26F7042B21CA72EC8B2C27/fulltext/pdf</idno><idno type="wicri:Area/Main/Corpus">000751</idno><idno type="wicri:explorRef" wicri:stream="Main" wicri:step="Corpus" wicri:corpus="ISTEX">000751</idno><idno type="wicri:Area/Main/Curation">000751</idno><idno type="wicri:Area/Main/Exploration">000224</idno><idno type="wicri:explorRef" wicri:stream="Main" wicri:step="Exploration">000224</idno></publicationStmt><sourceDesc><biblStruct><analytic><title level="a" type="main" xml:lang="en">Well‐posedness of incompressible models of two‐ and three‐phase flow</title><author><name sortKey="Louaked, M" sort="Louaked, M" uniqKey="Louaked M" first="M." last="Louaked">M. Louaked</name><affiliation wicri:level="3"><country xml:lang="fr">France</country><wicri:regionArea>Department de Mathématiques et Mécanique, Université de Caen, Campus II, Bd. Maréchal Juin, B P 5186, 14032 Caen</wicri:regionArea><placeName><region type="region" nuts="2">Région Normandie</region><region type="old region" nuts="2">Basse-Normandie</region><settlement type="city">Caen</settlement></placeName></affiliation><affiliation wicri:level="3"><country xml:lang="fr">France</country><wicri:regionArea>Department de Mathématiques et Mécanique, Université de Caen, Campus II, Bd. Maréchal Juin, B P 5186, 14032 Caen</wicri:regionArea><placeName><region type="region" nuts="2">Région Normandie</region><region type="old region" nuts="2">Basse-Normandie</region><settlement type="city">Caen</settlement></placeName></affiliation></author><author><name sortKey="Hanich, L" sort="Hanich, L" uniqKey="Hanich L" first="L." last="Hanich">L. Hanich</name><affiliation wicri:level="1"><country xml:lang="fr">Royaume-Uni</country><wicri:regionArea>Applied Mathematics and Computing Group, School of Engineering, Cranfield University</wicri:regionArea><wicri:noRegion>Cranfield University</wicri:noRegion></affiliation><affiliation wicri:level="3"><country xml:lang="fr">France</country><wicri:regionArea>Department de Mathématiques et Mécanique, Université de Caen, Campus II, Bd. Maréchal Juin, B P 5186, 14032 Caen</wicri:regionArea><placeName><region type="region" nuts="2">Région Normandie</region><region type="old region" nuts="2">Basse-Normandie</region><settlement type="city">Caen</settlement></placeName></affiliation></author><author><name sortKey="Thompson, C P" sort="Thompson, C P" uniqKey="Thompson C" first="C. P." last="Thompson">C. P. Thompson</name><affiliation wicri:level="1"><country xml:lang="fr">Royaume-Uni</country><wicri:regionArea>Applied Mathematics and Computing Group, School of Engineering, Cranfield University</wicri:regionArea><wicri:noRegion>Cranfield University</wicri:noRegion></affiliation><affiliation wicri:level="3"><country xml:lang="fr">France</country><wicri:regionArea>Department de Mathématiques et Mécanique, Université de Caen, Campus II, Bd. Maréchal Juin, B P 5186, 14032 Caen</wicri:regionArea><placeName><region type="region" nuts="2">Région Normandie</region><region type="old region" nuts="2">Basse-Normandie</region><settlement type="city">Caen</settlement></placeName></affiliation></author></analytic><monogr></monogr><series><title level="j">IMA Journal of Applied Mathematics</title><title level="j" type="abbrev">IMA J Appl Math</title><idno type="ISSN">0272-4960</idno><idno type="eISSN">1464-3634</idno><imprint><publisher>Oxford University Press</publisher><date type="published" when="2003-12">2003-12</date><biblScope unit="volume">68</biblScope><biblScope unit="issue">6</biblScope><biblScope unit="page" from="595">595</biblScope><biblScope unit="page" to="620">620</biblScope></imprint><idno type="ISSN">0272-4960</idno></series><idno type="istex">8C2D08B51C730144AE26F7042B21CA72EC8B2C27</idno><idno type="DOI">10.1093/imamat/68.6.595</idno><idno type="local">680595</idno></biblStruct></sourceDesc><seriesStmt><idno type="ISSN">0272-4960</idno></seriesStmt></fileDesc><profileDesc><textClass><keywords scheme="KwdEn" xml:lang="en"><term>holdup; hyperbolic system; pipeline; pseudo‐differential operator; stratified; three‐phase flow; two‐phase; well‐posedness</term></keywords></textClass><langUsage><language ident="en">en</language></langUsage></profileDesc></teiHeader><front><div type="abstract" xml:lang="en">In this paper the Hadamard well‐posedness of incompressible multiphase flow systems is addressed. We determine the hydrodynamic conditions under which these systems are hyperbolic, stable and possess a unique short‐time solution provided the initial data are in an appropriate Sobolev space and the source terms in a class of sufficiently differentiable functions. An accurate and efficient numerical method coupled with an adaptive mesh strategy, for predicting the evolution of flow phenomena, is presented. Numerical predictions of transient‐ and steady‐flow problems in pipelines are compared with available experimental data.</div></front></TEI><affiliations><list><country><li>France</li><li>Royaume-Uni</li></country><region><li>Basse-Normandie</li><li>Région Normandie</li></region><settlement><li>Caen</li></settlement></list><tree><country name="France"><region name="Région Normandie"><name sortKey="Louaked, M" sort="Louaked, M" uniqKey="Louaked M" first="M." last="Louaked">M. Louaked</name></region><name sortKey="Hanich, L" sort="Hanich, L" uniqKey="Hanich L" first="L." last="Hanich">L. Hanich</name><name sortKey="Louaked, M" sort="Louaked, M" uniqKey="Louaked M" first="M." last="Louaked">M. Louaked</name><name sortKey="Thompson, C P" sort="Thompson, C P" uniqKey="Thompson C" first="C. P." last="Thompson">C. P. Thompson</name></country><country name="Royaume-Uni"><noRegion><name sortKey="Hanich, L" sort="Hanich, L" uniqKey="Hanich L" first="L." last="Hanich">L. Hanich</name></noRegion><name sortKey="Thompson, C P" sort="Thompson, C P" uniqKey="Thompson C" first="C. P." last="Thompson">C. P. Thompson</name></country></tree></affiliations></record>Pour manipuler ce document sous Unix (Dilib)
EXPLOR_STEP=$WICRI_ROOT/Wicri/France/explor/AussoisV1/Data/Main/Exploration
HfdSelect -h $EXPLOR_STEP/biblio.hfd -nk 000224 | SxmlIndent | more
Ou
HfdSelect -h $EXPLOR_AREA/Data/Main/Exploration/biblio.hfd -nk 000224 | SxmlIndent | more
Pour mettre un lien sur cette page dans le réseau Wicri
{{Explor lien
|wiki= Wicri/France
|area= AussoisV1
|flux= Main
|étape= Exploration
|type= RBID
|clé= ISTEX:8C2D08B51C730144AE26F7042B21CA72EC8B2C27
|texte= Well‐posedness of incompressible models of two‐ and three‐phase flow
}}
| This area was generated with Dilib version V0.6.29. |  |