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

Sudi Mungkasi

Advances in Mathematical Physics, 2016, vol. 2016, 1-7

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.

Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlamp:7528625

DOI: 10.1155/2016/7528625

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