A study of splitting scheme for hyperbolic conservation laws with source terms

被引：12

作者：

Monthé, LA ^{[1
]}

机构：

[1] INSA, LMI, UPRES A CNRS 6085, F-76130 Mont St Aignan, France

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2001年 / 137卷 / 01期

关键词：

hyperbolic; source terms; BV stability; splitting method; shallow water;

D O I：

10.1016/S0377-0427(00)00615-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This study deals with the convergence of a numerical scheme for conservation laws including source terms. A splitting method for source term integration is presented. More precisely, the convergence of the numerical solution towards the entropy solution is proved in the scalar case. Because of the effect of source term, the constructed scheme is total variation bounded. Numerical experiments for one-dimensional shallow water equation are presented to demonstrate the performance of the scheme. (C) 2001 Elsevier Science B.V. All rights reserved.

引用

页码：1 / 12

页数：12

共 50 条

[1] Converging finite volume scheme for hyperbolic conservation laws with source terms
Santos, J.
De Oliveira, P.
[J]. Journal of Computational and Applied Mathematics, 1999, 111 (01): : 239 - 251
[2] A converging finite volume scheme for hyperbolic conservation laws with source terms
Santos, J
de Oliveira, P
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1999, 111 (1-2) : 239 - 251
[3] FLUX-DIFFERENCE SPLITTING FOR HYPERBOLIC SYSTEMS OF CONSERVATION-LAWS WITH SOURCE TERMS
GLAISTER, P
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1993, 26 (07) : 79 - 96
[4] A well-balanced flux-vector splitting scheme designed for hyperbolic systems of conservation laws with source terms
Gosse, L
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2000, 39 (9-10) : 135 - 159
[5] Zero reaction limit for hyperbolic conservation laws with source terms
Fan, HT
Jin, S
Teng, ZH
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2000, 168 (02) : 270 - 294
[6] UPWIND METHODS FOR HYPERBOLIC CONSERVATION-LAWS WITH SOURCE TERMS
BERMUDEZ, A
VAZQUEZ, E
[J]. COMPUTERS & FLUIDS, 1994, 23 (08) : 1049 - 1071
[7] On the convergence of operator splitting applied to conservation laws with source terms
Langseth, JO
Tveito, A
Winther, R
[J]. SIAM JOURNAL ON NUMERICAL ANALYSIS, 1996, 33 (03) : 843 - 863
[8] A STUDY OF NUMERICAL-METHODS FOR HYPERBOLIC CONSERVATION-LAWS WITH STIFF SOURCE TERMS
LEVEQUE, RJ
YEE, HC
[J]. JOURNAL OF COMPUTATIONAL PHYSICS, 1990, 86 (01) : 187 - 210
[9] Error estimators for the position of discontinuities in hyperbolic conservation laws with source terms which are solved using operator splitting
Jeltsch, R.
Klingenstein, P.
[J]. Computing and Visualization in Science, 1999, 1 (04): : 231 - 249
[10] Convergence of relaxation schemes for hyperbolic conservation laws with stiff source terms
Chalabi, A
[J]. MATHEMATICS OF COMPUTATION, 1999, 68 (227) : 955 - 970

← 1 2 3 4 5 →