ABBATE, Emanuela; IOLLO, Angelo; PUPPO, Gabriella

doi:10.1007/978-3-319-57394-6_25

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

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

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

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Ce document a été publié dans

PROMS, PROMS, FVCA 2017 - International Conference on Finite Volumes for Complex Applications 8, 2017-06-12, Lille. 2017-06-12, vol. 200, p. 227-235

Résumé en anglais

A scheme for the simulation of inviscid flows with low Mach number is derived. The scheme is built on a relaxation system and it is based on a linear implicit time discretization. The advective part is discretized by a convex combination of upwind and centered schemes, in order to recover the correct limit when the Mach number goes to zero. The implicit treatment allows to stabilize the central approximation in the low Mach limit and also to avoid demanding constraints on the time step in low Mach flows. The scheme applies to steady or unsteady flows and to general equations of state. We discuss examples pertaining to both gas and liquid flows.< Réduire

Mots clés en anglais

low Mach flows

relaxation method

compressible flows

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A relaxation scheme for the simulation of low Mach number flows

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