Unstructured finite volume model for numerical simulation of dam-break flow

A highperformance Godunovtype finite volume scheme is proposed for numerical simulation of dambreak flow over highly irregular terrain with complex geometries.The scheme is used to solve the twodimensional shallow water equations on triangular grids.Using the variable reconstruction and limiter techniques,the numerical flux can be calculated with the HLLC (HartenLaxvan LeerContact) solver.The Hancock predictorcorrector method is adopted for time stepping.The bed elevation is assigned to the vertices of grids,which is beneficial to wet/dry fronts treatments.The flux correction terms combined with the central approximation for the central bed slope source term can preserve a wellbalanced property.The stiff problem due to the friction term is investigated,and a semiimplicit scheme is proposed to treat the issue.Numerical results from test examples show that the new scheme is stable,robust,and wellbalanced,thus having a wide range of application prospects.