Adaptive Finite Volume Method for the Shallow Water Equations on Triangular Grids

被引：9
|
作者：
Mungkasi, Sudi [1 ]
机构：
[1] Sanata Dharma Univ, Fac Sci & Technol, Dept Math, Tromol Pos 29, Yogyakarta 55002, Indonesia
来源：
ADVANCES IN MATHEMATICAL PHYSICS | 2016年 / 2016卷
关键词：
NUMERICAL ENTROPY PRODUCTION; SCHEMES;
D O I：
10.1155/2016/7528625
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
This paper presents a numerical entropy production (NEP) scheme for two-dimensional shallow water equations on unstructured triangular grids. We implement NEP as the error indicator for adaptivemesh refinement or coarsening in solving the shallow water equations using a finite volume method. Numerical simulations show that NEP is successful to be a refinement/coarsening indicator in the adaptivemesh finite volume method, as the method refines the mesh or grids around nonsmooth regions and coarsens them around smooth regions.
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收藏
页数：7
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