Two-dimensional Riemann problem for a hyperbolic system of conservation laws in three pieces

被引：8

作者：

Pang, Yicheng ^{[1
]}

Tian, Jianjun Paul ^{[2
]}

Yang, Hanchun ^{[1
]}

机构：

[1] Yunnan Univ, Dept Math, Kunming 650091, Peoples R China

[2] Coll William & Mary, Dept Math, Williamsburg, VA 23187 USA

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2012年 / 219卷 / 04期

关键词：

Hyperbolic systems of conservation laws; Two-dimensional Riemann problem; Delta-shock wave; Numerical simulations; PRESSURE-GRADIENT EQUATIONS; DELTA-SHOCK-WAVES; COMPRESSIBLE EULER EQUATIONS; 2 SPACE DIMENSIONS; GAS-DYNAMICS; VANISHING VISCOSITY; RAREFACTION WAVES; VACUUM STATES; EXISTENCE; SCHEMES;

D O I：

10.1016/j.amc.2012.08.010

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper studies the two-dimensional Riemann problem for a hyperbolic system of conservation laws with three constant initial data separated by x-positive, y-positive and x-negative axes. Using the generalized characteristic analysis method, by considering the interactions of rarefaction waves, shock waves and contact discontinuities, 13 exact solutions and the corresponding criteria are obtained. Delta-shock waves appear in some solutions. Moreover, the numerical illustrations agree completely with the geometric structures of the exact solutions. (C) 2012 Elsevier Inc. All rights reserved.

引用

页码：1695 / 1711

页数：17

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