2ND-ORDER ACCURATE UPWIND DIFFERENCE-SCHEMES FOR SCALAR CONSERVATION-LAWS WITH SOURCE TERMS

被引：3

作者：

GLAISTER, P

机构：

[1] Department of Mathematics, University of Reading Whiteknights, Reading, RG6 2AX

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 1993年 / 25卷 / 04期

关键词：

D O I：

10.1016/0898-1221(93)90249-U

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A second order accurate, characteristic-based, finite difference scheme is developed for scalar conservation laws with source terms. The scheme is an extension of well-known second order scalar schemes for homogeneous conservation laws. Such schemes have proved immensely powerful when applied to homogeneous systems of conservation laws using flux-difference splitting. Many application areas, however, involve inhomogeneous systems of conservation laws with source terms, and the scheme presented here is applied to such systems in a subsequent paper.

引用

页码：65 / 73

页数：9

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