TY - JOUR A2 - Salahshour, Soheil AU - Mungkasi, Sudi PY - 2016 DA - 2016/10/11 TI - Adaptive Finite Volume Method for the Shallow Water Equations on Triangular Grids SP - 7528625 VL - 2016 AB - 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. SN - 1687-9120 UR - https://doi.org/10.1155/2016/7528625 DO - 10.1155/2016/7528625 JF - Advances in Mathematical Physics PB - Hindawi Publishing Corporation KW - ER -