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Article Dans Une Revue Communications in Computational Physics Année : 2020

An explicit MUSCL scheme on staggered grids with kinetic-like fluxes for the barotropic and full Euler system

Résumé

We present a second order scheme for the barotropic and full Euler equations. The scheme works on staggered grids, with numerical unknowns stored at dual locations, while the numerical fluxes are derived in the spirit of kinetic schemes. We identify stability conditions ensuring the positivity of the discrete density and energy. We illustrate the ability of the scheme to capture the structure of complex flows with 1d and 2d simulations on mac grids.
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Dates et versions

hal-02350773 , version 1 (06-11-2019)

Identifiants

  • HAL Id : hal-02350773 , version 1

Citer

Thierry Goudon, Julie Llobell, Sebastian Minjeaud. An explicit MUSCL scheme on staggered grids with kinetic-like fluxes for the barotropic and full Euler system. Communications in Computational Physics, 2020, 27 (3), pp.672-724. ⟨hal-02350773⟩
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