A comparative study of finite volume methods on unstructured meshes for simulation of 2D shallow water wave problems Original Research Article

Four typical finite volume methods, the Roe-MUSCL, Roe-Upwind, HLL-MUSCL and composite methods are implemented on unstructured triangular meshes. Two typical problems of discontinuous solutions of 2D shallow water, the 2D dam break problem and oblique hydraulic jump problem, are solved by the four methods, respectively. The numerical results, the computational speeds and the stabilities of the four methods are compared.