Solution of two-dimensional Riemann problems of gas dynamics by positive schemes

被引：422

作者：

Lax, PD ^{[1
]}

Liu, XD ^{[1
]}

机构：

[1] NYU, Courant Inst Math Sci, New York, NY 10012 USA

来源：

SIAM JOURNAL ON SCIENTIFIC COMPUTING | 1998年 / 19卷 / 02期

关键词：

positive scheme; two-dimensional Riemann problem; shock;

D O I：

10.1137/S1064827595291819

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The positivity principle and positive schemes to solve multidimensional hyperbolic systems of conservation laws have been introduced in [X.-D. Liu and P.D. Lax, J. Fluid Dynam., 5 (1996), pp. 133-156. Some numerical experiments presented there show how well the method works. In this paper we use positive schemes to solve Riemann problems for two-dimensional gas dynamics.

引用

页码：319 / 340

页数：22

共 14 条

[1]

[Anonymous], J COMP FLUID DYN

[2] THE PIECEWISE PARABOLIC METHOD (PPM) FOR GAS-DYNAMICAL SIMULATIONS [J].