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A second order finite-volume scheme on cartesian grids for Euler equations

hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
hal.structure.identifierModélisation, contrôle et calcul [MC2]
dc.contributor.authorGORSSE, Yannick
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
hal.structure.identifierModélisation, contrôle et calcul [MC2]
dc.contributor.authorIOLLO, Angelo
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
hal.structure.identifierModélisation, contrôle et calcul [MC2]
dc.contributor.authorWEYNANS, Lisl
dc.contributor.editorAFM
dc.contributor.editorMaison de la Mécanique
dc.contributor.editor39/41 rue Louis Blanc
dc.contributor.editor92400 Courbevoie
dc.contributor.editorFrance(FR)
dc.date.created2013-12
dc.date.issued2013-12-20
dc.date.conference2013-08-26
dc.description.abstractEnWe present a second-order finite-volume scheme for compressible Euler flows in complex geometries, with a discretization on a cartesian grid which in general does not fit to the geometry. In the fluid domain, away from the solid boundary, we use a classical finite-volume method based on an approximate Riemann solver. At the cells located on the boundary with the solid, we solve an ad hoc Riemann problem taking into account the relevant boundary condition for the convective fluxes by an appropriate definition of the contact discontinuity speed. To avoid pressure oscillations near the boundary, we weight the boundary condition with a fluid extrapolation, as a function of the angle between the normal to the boundary and the cartesian mesh. The scheme is simple to implement and it is formally second order accurate. Error convergence rates with respect to several exact test cases are investigated, as well as comparisons with other numerical methods of the literature. Examples of flow solutions in one, two and three dimensions are presented.
dc.language.isoen
dc.publisherAFM, Maison de la Mécanique, 39/41 rue Louis Blanc, 92400 Courbevoie, France(FR)
dc.source.title21ème Congrès Français de Mécanique, S14 - Interactions fluides-structures et contrôle
dc.subject.encompressible inviscid flows
dc.subject.encomplex geometry
dc.subject.encartesian grid discretization
dc.title.enA second order finite-volume scheme on cartesian grids for Euler equations
dc.typeCommunication dans un congrès
dc.subject.halMathématiques [math]/Analyse numérique [math.NA]
bordeaux.pagehttp://hdl.handle.net/2042/52445
bordeaux.conference.title21ème Congrès Français de Mécanique
bordeaux.countryFR
bordeaux.title.proceeding21ème Congrès Français de Mécanique, S14 - Interactions fluides-structures et contrôle
bordeaux.conference.cityBordeaux
bordeaux.peerReviewedoui
hal.identifierhal-01024639
hal.version1
hal.invitednon
hal.proceedingsoui
hal.conference.end2013-08-30
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-01024639v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.btitle=21%C3%A8me%20Congr%C3%A8s%20Fran%C3%A7ais%20de%20M%C3%A9canique,%20S14%20-%20Interactions%20fluides-structures%20et%20contr%C3%B4le&rft.date=2013-12-20&rft.spage=http://hdl.handle.net/2042/52445&rft.epage=http://hdl.handle.net/2042/52445&rft.au=GORSSE,%20Yannick&IOLLO,%20Angelo&WEYNANS,%20Lisl&rft.genre=unknown


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