Finite difference method for detonation waves

被引：4

作者：

Ying, LA ^{[1
]}

Zhang, XT ^{[1
]}

机构：

[1] Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2003年 / 159卷 / 01期

基金：

高等学校博士学科点专项科研基金;

关键词：

finite difference method; detonation waves;

D O I：

10.1016/S0377-0427(03)00558-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study an upwind finite difference scheme for detonation waves. Convergences to weak and strong solutions are discussed with some extra hypothesis. A numerical example shows that beyond these hypothesis, the situation could be more complicated and interesting. (C) 2003 Elsevier B.V. All rights reserved.

引用

页码：185 / 193

页数：9

共 10 条

[1] The random projection method for hyperbolic conservation laws with stiff reaction terms [J].

Bao, WZ ;

Jin, S .

JOURNAL OF COMPUTATIONAL PHYSICS, 2000, 163 (01) :216-248

[2] THE GENERALIZED RIEMANN PROBLEM FOR REACTIVE FLOWS [J].

BENARTZI, M .

JOURNAL OF COMPUTATIONAL PHYSICS, 1989, 81 (01) :70-101

[3] Detonation capturing for stiff combustion chemistry [J].

Berkenbosch, AC ;

Kaasschieter, EF ;

Klein, R .

COMBUSTION THEORY AND MODELLING, 1998, 2 (03) :313-348

[4] THEORETICAL AND NUMERICAL STRUCTURE FOR REACTING SHOCK-WAVES [J].

COLELLA, P ;

MAJDA, A ;

ROYTBURD, V .

SIAM JOURNAL ON SCIENTIFIC AND STATISTICAL COMPUTING, 1986, 7 (04) :1059-1080

[5]

ENGQUIST B, 1991, 9103 CAM UCLA

[6] NUMERICAL WAVE-PROPAGATION IN AN ADVECTION EQUATION WITH A NONLINEAR SOURCE TERM [J].

GRIFFITHS, DF ;

STUART, AM ;

YEE, HC .

SIAM JOURNAL ON NUMERICAL ANALYSIS, 1992, 29 (05) :1244-1260

[7] A STUDY OF NUMERICAL-METHODS FOR HYPERBOLIC CONSERVATION-LAWS WITH STIFF SOURCE TERMS [J].

LEVEQUE, RJ ;

YEE, HC .

JOURNAL OF COMPUTATIONAL PHYSICS, 1990, 86 (01) :187-210

[8] A QUALITATIVE MODEL FOR DYNAMIC COMBUSTION [J].

MAJDA, A .

SIAM JOURNAL ON APPLIED MATHEMATICS, 1981, 41 (01) :70-93

[9] NUMERICAL-METHODS FOR HYPERBOLIC CONSERVATION-LAWS WITH STIFF RELAXATION .1. SPURIOUS SOLUTIONS [J].

PEMBER, RB .

SIAM JOURNAL ON APPLIED MATHEMATICS, 1993, 53 (05) :1293-1330

[10]

YING LA, IN PRESS MATH COMPUT

← 1 →