Numerical Simulation of Axisymmetric Viscous Flows by Means of a Particle Method
Identifieur interne : 001A90 ( Main/Exploration ); précédent : 001A89; suivant : 001A91Numerical Simulation of Axisymmetric Viscous Flows by Means of a Particle Method
Auteurs : E. Rivoalen [France] ; S. Huberson [France]Source :
- Journal of Computational Physics [ 0021-9991 ] ; 1999.
English descriptors
Abstract
A vortex particle method for the simulation of axisymmetric viscous flow is presented. The flow is assumed to be laminar and incompressible. The Navier–Stokes equations are expressed in an integral velocity-vorticity formulation. The inviscid scheme is based on Nitsche's method for axisymmetric vortex sheets. Meanwhile, two techniques are proposed for dealing with the viscous term. The first uses an integral Green's function method while the second is based on a diffusion velocity approach. Both are obtained by extension of existing methods for 2D flows. The problem of satisfying boundary conditions along the axis of symmetry is specifically addressed. The problem is solved by using cut-off functions that are derived from the Green's function of the axisymmetric diffusion equation. The scheme is applied to simulate the evolution of vortex rings at intermediate Reynolds number. The processes of entrainment and wake formation are evident in the calculations, as well as the extension of the support of vorticity due to viscous diffusion.
Url:
DOI: 10.1006/jcph.1999.6210
Affiliations:
Links toward previous steps (curation, corpus...)
- to stream Istex, to step Corpus: 000D05
- to stream Istex, to step Curation: 000D05
- to stream Istex, to step Checkpoint: 000A99
- to stream Main, to step Merge: 001B39
- to stream Main, to step Curation: 001A90
Le document en format XML
<record><TEI wicri:istexFullTextTei="biblStruct"><teiHeader><fileDesc><titleStmt><title xml:lang="en">Numerical Simulation of Axisymmetric Viscous Flows by Means of a Particle Method</title><author><name sortKey="Rivoalen, E" sort="Rivoalen, E" uniqKey="Rivoalen E" first="E" last="Rivoalen">E. Rivoalen</name></author><author><name sortKey="Huberson, S" sort="Huberson, S" uniqKey="Huberson S" first="S" last="Huberson">S. Huberson</name></author></titleStmt><publicationStmt><idno type="wicri:source">ISTEX</idno><idno type="RBID">ISTEX:89A16E3648849857B64BAF36A7E10346B3923E28</idno><date when="1999" year="1999">1999</date><idno type="doi">10.1006/jcph.1999.6210</idno><idno type="url">https://api.istex.fr/document/89A16E3648849857B64BAF36A7E10346B3923E28/fulltext/pdf</idno><idno type="wicri:Area/Istex/Corpus">000D05</idno><idno type="wicri:Area/Istex/Curation">000D05</idno><idno type="wicri:Area/Istex/Checkpoint">000A99</idno><idno type="wicri:doubleKey">0021-9991:1999:Rivoalen E:numerical:simulation:of</idno><idno type="wicri:Area/Main/Merge">001B39</idno><idno type="wicri:Area/Main/Curation">001A90</idno><idno type="wicri:Area/Main/Exploration">001A90</idno></publicationStmt><sourceDesc><biblStruct><analytic><title level="a" type="main" xml:lang="en">Numerical Simulation of Axisymmetric Viscous Flows by Means of a Particle Method</title><author><name sortKey="Rivoalen, E" sort="Rivoalen, E" uniqKey="Rivoalen E" first="E" last="Rivoalen">E. Rivoalen</name><affiliation wicri:level="3"><country xml:lang="fr">France</country><wicri:regionArea>Laboratoire de Mécanique, 25 Rue Philippe Lebon, BP 540, Le Havre Cedex, 76058</wicri:regionArea><placeName><region type="region" nuts="2">Région Normandie</region><region type="old region" nuts="2">Haute-Normandie</region></placeName></affiliation></author><author><name sortKey="Huberson, S" sort="Huberson, S" uniqKey="Huberson S" first="S" last="Huberson">S. Huberson</name><affiliation wicri:level="3"><country xml:lang="fr">France</country><wicri:regionArea>Laboratoire de Mécanique, 25 Rue Philippe Lebon, BP 540, Le Havre Cedex, 76058</wicri:regionArea><placeName><region type="region" nuts="2">Région Normandie</region><region type="old region" nuts="2">Haute-Normandie</region></placeName></affiliation></author></analytic><monogr></monogr><series><title level="j">Journal of Computational Physics</title><title level="j" type="abbrev">YJCPH</title><idno type="ISSN">0021-9991</idno><imprint><publisher>ELSEVIER</publisher><date type="published" when="1999">1999</date><biblScope unit="volume">152</biblScope><biblScope unit="issue">1</biblScope><biblScope unit="page" from="1">1</biblScope><biblScope unit="page" to="31">31</biblScope></imprint><idno type="ISSN">0021-9991</idno></series><idno type="istex">89A16E3648849857B64BAF36A7E10346B3923E28</idno><idno type="DOI">10.1006/jcph.1999.6210</idno><idno type="PII">S0021-9991(99)96210-1</idno></biblStruct></sourceDesc><seriesStmt><idno type="ISSN">0021-9991</idno></seriesStmt></fileDesc><profileDesc><textClass><keywords scheme="KwdEn" xml:lang="en"><term>Navier–Stokes equations</term><term>diffusion</term><term>particle method</term><term>vortex ring</term></keywords></textClass><langUsage><language ident="en">en</language></langUsage></profileDesc></teiHeader><front><div type="abstract" xml:lang="en">A vortex particle method for the simulation of axisymmetric viscous flow is presented. The flow is assumed to be laminar and incompressible. The Navier–Stokes equations are expressed in an integral velocity-vorticity formulation. The inviscid scheme is based on Nitsche's method for axisymmetric vortex sheets. Meanwhile, two techniques are proposed for dealing with the viscous term. The first uses an integral Green's function method while the second is based on a diffusion velocity approach. Both are obtained by extension of existing methods for 2D flows. The problem of satisfying boundary conditions along the axis of symmetry is specifically addressed. The problem is solved by using cut-off functions that are derived from the Green's function of the axisymmetric diffusion equation. The scheme is applied to simulate the evolution of vortex rings at intermediate Reynolds number. The processes of entrainment and wake formation are evident in the calculations, as well as the extension of the support of vorticity due to viscous diffusion.</div></front></TEI><affiliations><list><country><li>France</li></country><region><li>Haute-Normandie</li><li>Région Normandie</li></region></list><tree><country name="France"><region name="Région Normandie"><name sortKey="Rivoalen, E" sort="Rivoalen, E" uniqKey="Rivoalen E" first="E" last="Rivoalen">E. Rivoalen</name></region><name sortKey="Huberson, S" sort="Huberson, S" uniqKey="Huberson S" first="S" last="Huberson">S. Huberson</name></country></tree></affiliations></record>Pour manipuler ce document sous Unix (Dilib)
EXPLOR_STEP=$WICRI_ROOT/Wicri/France/explor/LeHavreV1/Data/Main/Exploration
HfdSelect -h $EXPLOR_STEP/biblio.hfd -nk 001A90 | SxmlIndent | more
Ou
HfdSelect -h $EXPLOR_AREA/Data/Main/Exploration/biblio.hfd -nk 001A90 | SxmlIndent | more
Pour mettre un lien sur cette page dans le réseau Wicri
{{Explor lien
|wiki= Wicri/France
|area= LeHavreV1
|flux= Main
|étape= Exploration
|type= RBID
|clé= ISTEX:89A16E3648849857B64BAF36A7E10346B3923E28
|texte= Numerical Simulation of Axisymmetric Viscous Flows by Means of a Particle Method
}}
| This area was generated with Dilib version V0.6.25. |  |