Solution limiters and flux limiters for high order discontinuous Galerkin schemes

被引：0
|
作者：
Petrovskaya, Natalia [1 ]
机构：
[1] Univ Birmingham, Sch Math, Birmingham B15 2TT, W Midlands, England
来源：
NUMERICAL METHODS AND APPLICATIONS | 2007年 / 4310卷
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D O I：
暂无
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
We analyze a general concept of limiters for a high order DG scheme written for a 1-D problem. The limiters, which are local and do not require extended stencils, are incorporated into the solution reconstruction in order to meet the requirement of monotonicity and avoid spurious solution overshoots. A limiter beta will be defined based on the solution jumps at grid interfaces. It will be shown that beta should be 0 < beta < 1 for a monotone approximate solution.
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收藏
页码：668 / 676
页数：9
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