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An all-speed relaxation scheme for gases and compressible materials

hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
hal.structure.identifierModeling Enablers for Multi-PHysics and InteractionS [MEMPHIS]
hal.structure.identifierUniversitá degli Studi dell’Insubria = University of Insubria [Varese] [Uninsubria]
dc.contributor.authorABBATE, Emanuela
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
hal.structure.identifierModeling Enablers for Multi-PHysics and InteractionS [MEMPHIS]
dc.contributor.authorIOLLO, Angelo
hal.structure.identifierUniversitá degli Studi dell’Insubria = University of Insubria [Varese] [Uninsubria]
dc.contributor.authorPUPPO, Gabriella
dc.date.issued2017
dc.identifier.issn0021-9991
dc.description.abstractEnWe present a novel relaxation scheme for the simulation of compressible material flows at all speeds. An Eulerian model describing gases, fluids and elastic solids with the same system of conservation laws is adopted. The proposed numerical scheme is based on a fully implicit time discretization, easily implemented thanks to the linearity of the transport operator in the relaxation system. The spatial discretization is obtained by a combination of upwind and centered schemes in order to recover the correct numerical viscosity in all different Mach regimes. The scheme is validated by simulating gas and liquid flows with different Mach numbers. The simulation of the deformation of compressible solids is also approached, assessing the ability of the scheme in approximating material waves in hyperelastic media.
dc.language.isoen
dc.publisherElsevier
dc.subject.enLow Mach limit
dc.subject.encompressible flows
dc.subject.enrelaxation method
dc.subject.enEulerian elasticity
dc.subject.enall-speed scheme
dc.title.enAn all-speed relaxation scheme for gases and compressible materials
dc.typeArticle de revue
dc.identifier.doi10.1016/j.jcp.2017.08.052
dc.subject.halInformatique [cs]/Modélisation et simulation
bordeaux.journalJournal of Computational Physics
bordeaux.page1-24
bordeaux.volume351
bordeaux.peerReviewedoui
hal.identifierhal-01586863
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-01586863v1
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