ABBATE, Emanuela; IOLLO, Angelo; PUPPO, Gabriella

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ABBATE, Emanuela
Modeling Enablers for Multi-PHysics and InteractionS [MEMPHIS]
Universitá degli Studi dell’Insubria = University of Insubria [Varese] [Uninsubria]
Institut de Mathématiques de Bordeaux [IMB]

IOLLO, Angelo
Institut de Mathématiques de Bordeaux [IMB]
Modeling Enablers for Multi-PHysics and InteractionS [MEMPHIS]

PUPPO, Gabriella
Universitá degli Studi dell’Insubria = University of Insubria [Varese] [Uninsubria]

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Communication dans un congrès

Ce document a été publié dans

NUMHYP 2017 - Numerical methods for hyperbolic problems, 2017-05-28, Monte Verità.

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We propose 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 isadopted.The numerical scheme is based on the relaxation technique introduced by Jin-Xin. The linearity of the transportoperator in the relaxation system allows for an easy implementation of a fully implicit time integration.The spatial discretization is obtained by a combination of upwind and centered schemes, in order to recoverthe correct numerical viscosity at all Mach numbers. Thanks to this, the scheme is very accurate in approximatingmaterial waves at all speeds. Moreover, the acoustic CFL constraint may be avoided without facingstability issues.The proposed scheme is the same for all materials and can handle different Mach regimes. Gas andliquid flows and hyperelastic solids deformations have been simulated at different speeds. Multimaterialapplications are currently under investigation.< Réduire

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An all speed relaxation scheme for compressible materials

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