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

Sudi Mungkasi

Advances in Mathematical Physics, 2016, vol. 2016, issue 1

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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https://doi.org/10.1155/2016/7528625

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlamp:v:2016:y:2016:i:1:n:7528625

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