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.
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页码：65 / 73
页数：9
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