SURVEY OF SEVERAL FINITE-DIFFERENCE METHODS FOR SYSTEMS OF NON-LINEAR HYPERBOLIC CONSERVATION LAWS

被引：1864

作者：

SOD, GA ^{[1
]}

机构：

[1] UNIV CALIF, LAWRENCE LIVERMORE LAB, POB 808, LIVERMORE, CA 94550 USA

来源：

JOURNAL OF COMPUTATIONAL PHYSICS | 1978年 / 27卷 / 01期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1016/0021-9991(78)90023-2

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

The finite difference methods of Godunov, Hyman, Lax and Wendroff (two-step), MacCormack, Rusanov, the upwind scheme, the hybrid scheme of Harten and Zwas, the antidiffusion method of Boris and Book, the artificial compression method of Harten, and Glimm's method, a random choice method, are discussed. The methods are used to integrate the one-dimensional Eulerian form of the equations of gas dynamics in Cartesian coordinates for an inviscid, nonheat-conducting fluid. The test problem was a typical shock tube problem. The results are compared and demonstrate that Glimm's method has several advantages. © 1978.

引用

页码：1 / 31

页数：31

共 25 条

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