Limiters for high-order discontinuous Galerkin methods

被引：204
|
作者：
Krivodonova, Lilia [1 ]
机构：
[1] Univ Waterloo, Dept Appl Math, Waterloo, ON N2L 3G1, Canada
来源：
JOURNAL OF COMPUTATIONAL PHYSICS | 2007年 / 226卷 / 01期
关键词：
limiters; high-resolution schemes; discontinuous galerkin methods; Euler equations;
D O I：
10.1016/j.jcp.2007.05.011
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
We describe a limiter for the discontinuous Galerkin method that retains as high an order as possible, and does not automatically reduce to first order. The limiter is a generalization of the limiter introduced in [R. Biswas, K. Devine, J.E. Flaherty, Parallel adaptive finite element methods for conservation laws, Applied Numerical Mathematics 14 (1994) 255-284]. We present the one-dimensional case and extend it to two-dimensional problems on tensor-product meshes. Computational results for examples with both smooth and discontinuous solutions are shown. (C) 2007 Elsevier Inc. All rights reserved.
引用
收藏
页码：879 / 896
页数：18
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