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  • 标题:Adaptive Finite Volume Method for the Shallow Water Equations on Triangular Grids
  • 本地全文:下载
  • 作者:Sudi Mungkasi
  • 期刊名称:Advances in Mathematical Physics
  • 印刷版ISSN:1687-9120
  • 电子版ISSN:1687-9139
  • 出版年度:2016
  • 卷号:2016
  • DOI:10.1155/2016/7528625
  • 出版社:Hindawi Publishing Corporation
  • 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 adaptive mesh 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 adaptive mesh finite volume method, as the method refines the mesh or grids around nonsmooth regions and coarsens them around smooth regions.
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