Adaptive Finite Volume Method for the Shallow Water Equations on Triangular Grids
نویسنده
چکیده
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 volumemethod. Numerical simulations show thatNEP is successful to be a refinement/coarsening indicator in the adaptive mesh finite volumemethod, as the method refines the mesh or grids around nonsmooth regions and coarsens them around smooth regions.
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