Adaptive Finite Volume Method for the Shallow Water Equations on Triangular Grids
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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.
2017 ◽
Vol 349
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pp. 351-375
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2013 ◽
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pp. 687-699
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pp. 1-20
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pp. 2245-2270
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