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dc.contributor.authorChalons, Christophe
dc.date.accessioned2016-05-16T11:44:53Z
dc.date.available2016-05-16T11:44:53Z
dc.date.created2016
dc.date.issued2016-05-16
dc.identifier.urihttp://hdl.handle.net/10630/11406
dc.description.abstractIn this talk, we propose an all regime Lagrange-Projection like numerical scheme for the gas dynamics equations. By all regime, we mean that the numerical scheme is able to compute accurate approximate solutions with an under-resolved discretization with respect to the Mach number M, i.e. such that the ratio between the Mach number M and the mesh size or the time step is small with respect to 1. The key idea is to decouple acoustic and transport phenomenon and then alter the numerical flux in the acoustic approximation to obtain a uniform truncation error in term of M. This modified scheme is conservative and endowed with good stability properties with respect to the positivity of the density and the internal energy. A discrete entropy inequality under a condition on the modification is obtained thanks to a reinterpretation of the modified scheme in the Harten Lax and van Leer formalism. A natural extension to multi-dimensional problems discretized over unstructured mesh is proposed. Then a simple and efficient semi implicit scheme is also proposed. The resulting scheme is stable under a CFL condition driven by the (slow) material waves and not by the (fast) acoustic waves and so verifies the all regime property. Numerical evidences are proposed and show the ability of the scheme to deal with tests where the flow regime may vary from low to high Mach values.es_ES
dc.description.sponsorshipUniversidad de Málaga. Campus de Excelencia Internacional Andalucía Teches_ES
dc.language.isoenges_ES
dc.rightsinfo:eu-repo/semantics/openAccesses_ES
dc.subjectDinámica de gaseses_ES
dc.subject.otherLagrangian Remapes_ES
dc.subject.otherGas dynamicses_ES
dc.subject.otherLow mach regimees_ES
dc.subject.otherLarge frictiones_ES
dc.titleAll-regime Lagrangian-Remap numerical schemes for the gas dynamics equations. Applications to the large friction and low Mach coefficientses_ES
dc.typeinfo:eu-repo/semantics/conferenceObjectes_ES
dc.centroFacultad de Cienciases_ES
dc.relation.eventtitleConferencia impartida en la UMAes_ES
dc.relation.eventplaceMálagaes_ES
dc.relation.eventdate13-05-2016es_ES
dc.rights.ccby-nc-nd


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