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An Explicit MUSCL Scheme on Staggered Grids with Kinetic-Like Fluxes for the Barotropic and Full Euler System

An Explicit MUSCL Scheme on Staggered Grids with Kinetic-Like Fluxes for the Barotropic and Full Euler System
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Year:    2020

Author:    Thierry Goudon, Julie Llobell, Sebastian Minjeaud

Communications in Computational Physics, Vol. 27 (2020), Iss. 3 : pp. 672–724

Abstract

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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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/cicp.OA-2018-0307

Communications in Computational Physics, Vol. 27 (2020), Iss. 3 : pp. 672–724

Published online:    2020-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    53

Keywords:    Euler equations finite volume methods staggered grids MUSCL schemes.

Author Details

Thierry Goudon

Julie Llobell

Sebastian Minjeaud

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