High-Precision Structured Finite Volume Model for Numerical Simulation of Dam-and Dyke-Breach Flow

Abstract

A high precision structured-based finite volume model for numerical simulation of dam-and dyke-breach flow was proposed. The model regarded the fully two-dimensional shallow water equations as the governing equations, and used the Godunov-type finite volume shock-capturing schemes HLLC to calculate flow flux. Its spatial and temporal accuracy were improved to two order accuracy using the slop limiter and predict-correct method, and the slope source terms and friction source terms were treated with central difference scheme and fully implicit method respectively. And then a robust procedure was adapted in the model to efficiently and accurately simulate the movement of wet and dry boundary and a method of high calculation efficiency was applied in the treatment of complex boundary. A popular example was used to validate the capability of the model. The result shows that the model can capture flow processes over irregular boundary accurately and shows good stability and accuracy.