ON THE INVARIANT REGION FOR COMPRESSIBLE EULER EQUATIONS WITH A GENERAL EQUATION OF STATE

被引：0

作者：

Liu, Hailiang ^{[1
]}

Thein, Ferdinand ^{[2
]}

机构：

[1] Iowa State Univ, Dept Math, Ames, IA 50011 USA

[2] Otto von Guericke Univ, Univ Pl 2, D-39106 Magdeburg, Germany

来源：

COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2021年 / 20卷 / 7-8期

基金：

美国国家科学基金会;

关键词：

Key words and phrases; Euler equations; entropy; invariant region; equation of state; funda-mental derivative; RIEMANN-PROBLEM; SYSTEMS; PRINCIPLE; SCHEMES; ENTROPY;

D O I：

10.3934/cpaa.2021084

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The state space for solutions of the compressible Euler equations with a general equation of state is examined. An arbitrary equation of state is allowed, subject only to the physical requirements of thermodynamics. An invariant region of the resulting Euler system is identified and the convexity property of this region is justified by using only very minimal thermodynamical assumptions. Finally, we show how an invariant-region-preserving (IRP) limiter can be constructed for use in high order finite-volume type schemes to solve the compressible Euler equations with a general constitutive relation.

引用

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页码：2751 / 2763

页数：13

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