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

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  • Sudi Mungkasi

Abstract

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.

Suggested Citation

  • Sudi Mungkasi, 2016. "Adaptive Finite Volume Method for the Shallow Water Equations on Triangular Grids," Advances in Mathematical Physics, Hindawi, vol. 2016, pages 1-7, October.
    • Handle: RePEc:hin:jnlamp:7528625
    DOI: 10.1155/2016/7528625
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