A study on a two-dimensional shallow flow model for complex topography

Abstract

    In this paper, Finite Volume Method (FVM) is used to solve two Dimensional Shallow Water Equations (2D SWE) on structured mesh. The HLLC scheme approximate Riemann solver is invoked to compute the fluxes of mass and momentum; MUSCL procedure is employed to obtain second order accuracy. Besides, semi implicit method is utilized to solve the friction source term. The effectiveness and robustness of the above schemes is verified by three tests: hydrostatic test, a well-known Thacker's test and run up water wave on the domain with conical island. A case study of Lang Ha reservoir- Vinh Phuc is implemented to simulate breach hydrographs of dam collapsed scenarios.