A High Resolution Scheme For Two-dimensional Shallow Water Equations On Triangular Meshes

For the numerical methods of solving two-dimensional shallow water equations,people have made many typical numerical schemes.However,when the area of the problem is irregular,the numerical scheme on structured meshes can not be applied,it is an important task for high resolution schemes built on structured meshes to work well on triangular meshes.In this paper,based on triangular meshes and the CBC(Convection Boundedness Criterion)criterion,a new high resolution scheme is built.Typical one-dimensional numerical examples show that the new scheme has a good approximation effect and can suppress unphysical oscillation when this scheme degenerates into the scheme under the structured meshes.The two-dimensional shallow water equations show the application of the scheme on triangular meshes.