The two-dimensional Riemann problem for Chaplygin gas dynamics with three constant states

被引：27

作者：

Wang, Guodong ^{[1
]}

Chen, Bangkao ^{[1
]}

Hu, Yanbo ^{[2
]}

机构：

[1] Anhui Univ Architecture, Dept Math & Phys, Hefei 230601, Peoples R China

[2] Hangzhou Normal Univ, Dept Math, Hangzhou 310036, Zhejiang, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2012年 / 393卷 / 02期

基金：

美国国家科学基金会;

关键词：

2D Riemann problem; Chaplygin gas; Delta-shock wave; Generalized characteristic analysis method; Numerical generalized characteristic analysis method; COMPRESSIBLE EULER EQUATIONS; SELF-SIMILAR SOLUTIONS; TRIPLE POINT PARADOX; TRANSONIC SHOCK; SIMPLE WAVES; EXISTENCE; SYSTEM;

D O I：

10.1016/j.jmaa.2012.03.017

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The Riemann problem for two-dimensional Chaplygin gas is considered for the case with three constant states. With the help of the generalized characteristic analysis method, the Riemann problem is classified into eight genuinely different cases; the structures of the Riemann problem solutions are analyzed and corresponding numerical solutions are illustrated using the numerical generalized characteristic analysis method. We find that a delta-shock wave appears and interacts with the simple waves in some cases. (C) 2012 Elsevier Inc. All rights reserved.

引用

页码：544 / 562

页数：19

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