A simple approach to derive Riemann solvers for the compressible Euler equations in the ALE formulation from their Eulerian counterpart

被引：0

作者：

Chicu, V. ^{[1
]}

Beccantini, A. ^{[1
]}

Gherardi, M. ^{[2
]}

机构：

[1] Univ Paris Saclay, Serv Etud Mecan & Therm, CEA, F-91191 Gif Sur Yvette, France

[2] Alma Mater Studiorum Univ Bologna, Dipartimento Ingn Ind, I-40136 Bologna, Italy

来源：

JOURNAL OF COMPUTATIONAL PHYSICS | 2025年 / 524卷

关键词：

Euler equations; Galilean invariance; Arbitrary Lagrangian-Eulerian formulation; Approximate Riemann solvers; HLLC; AUSM plus;

D O I：

10.1016/j.jcp.2025.113724

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

In this paper, a new formula for the inviscid flux vector of the compressible Euler equations is proposed which links its Arbitrary Lagrangian-Eulerian (ALE) and Eulerian forms. On the one hand, this formula can be applied to compute approximate Riemann solvers in the ALE formulation starting from their Eulerian version. On the other hand, as shown, the same formula is also useful to verify the correctness of an Riemann solver in the ALE formulation once its Eulerian version is given.

引用

页数：9

共 5 条

[1] The compressible Euler equations in a physical vacuum: A comprehensive Eulerian approach
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[5] On a supersonic-sonic patch arising from the two-dimensional Riemann problem of the compressible Euler equations
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PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2024,

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