Numerical Simulation of 2D Circular Dam-Break Flows with WENO Schemes

This paper is concerned with a mathematical model for simulating hydrodynamics of 2D circular dam-break flows with the WENO scheme and the Finite Volume Method. The time discretization uses the Runge-Kutta TVD scheme. By using the proposed model, we calculated the flow property of circular dam-break, and obtained the flow velocity field distributions. The calculated results show that the WENO scheme has higher accuracy and better stability, and has the ability to automatically capture shock waves, and may suppress the oscillations of numerical solution. This model can effectively simulate the hydrodynamics of 2D river flow with irregular boundaries.