A direct Eulerian GRP scheme for compressible fluid flows

Matania Ben-Artzi; Jiequan Li; Gerald Warnecke

doi:10.1016/j.jcp.2006.01.044

A direct Eulerian GRP scheme for compressible fluid flows

Matania Ben-Artzi
, Jiequan Li^*
, Gerald Warnecke

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

118 Scopus citations

Abstract

A direct Eulerian generalized Riemann problem (GRP) scheme is derived for compressible fluid flows. Riemann invariants are introduced as the main ingredient to resolve the generalized Riemann problem (GRP) directly for the Eulerian formulation. The crucial auxiliary Lagrangian scheme in the original GRP scheme is not necessary in the present framework. The delicate sonic cases can be easily treated and the extension to multidimensional cases is obtained using the dimensional splitting technique.

Original language	English
Pages (from-to)	19-43
Number of pages	25
Journal	Journal of Computational Physics
Volume	218
Issue number	1
DOIs	https://doi.org/10.1016/j.jcp.2006.01.044
State	Published - 10 Oct 2006

Keywords

Characteristic coordinates
Riemann invariants
The Eulerian version
The generalized Riemann problem scheme

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10.1016/j.jcp.2006.01.044

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AB - A direct Eulerian generalized Riemann problem (GRP) scheme is derived for compressible fluid flows. Riemann invariants are introduced as the main ingredient to resolve the generalized Riemann problem (GRP) directly for the Eulerian formulation. The crucial auxiliary Lagrangian scheme in the original GRP scheme is not necessary in the present framework. The delicate sonic cases can be easily treated and the extension to multidimensional cases is obtained using the dimensional splitting technique.

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KW - Riemann invariants

KW - The Eulerian version

KW - The generalized Riemann problem scheme

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A direct Eulerian GRP scheme for compressible fluid flows

Abstract

Keywords

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