Two dimensional Riemann problem for a 2 x 2 system of hyperbolic conservation laws involving three constant states

被引：3

作者：

Hwang, Jinah ^{[1
]}

Shin, Myoungin ^{[3
]}

Shin, Suyeon ^{[2
]}

Hwang, Woonjae ^{[2
]}

机构：

[1] Korea Univ, Dept Math, Seoul 02841, South Korea

[2] Korea Univ, Div Appl Math Sci, Sejong 30019, South Korea

[3] Naval Acad, Dept Math, Chang Won 51704, South Korea

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2018年 / 321卷

基金：

新加坡国家研究基金会;

关键词：

Riemann problem; Conservation laws; Delta shock; WAVES;

D O I：

10.1016/j.amc.2017.10.045

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Zhang and Zheng (1990) conjectured on the structure of a solution for a two-dimensional Riemann problem for Euler equation. To resolve this illuminating conjecture, many researchers have studied the simplified 2 x 2 systems. In this paper, 3-pieces Riemann problem for two-dimensional 2 x 2 hyperbolic system is considered without the restriction that each jump of the initial data projects one planar elementary wave. We classify twelve topologically distinct solutions and construct analytical and numerical solutions. The computed numerical solutions clearly confirm the constructed analytic solutions. (C) 2017 Elsevier Inc. All rights reserved.

引用

页码：49 / 62

页数：14

共 15 条

[1]

[Anonymous], 1998, PITMAN MONOGRAPHS SU

[2]

Hwang WJ, 2002, SIAM J MATH ANAL, V34, P359, DOI 10.1137/S0036141001396643

[3] The 2-dimensional Riemann problem for a 2x2 hyperbolic conservation law - I. Isotropic media [J].