Author(s): Dawei Zhang; Jin Quan; Zhili Wang; Hongbin Zhang; Jianming Ma
Keywords: Finite volume method; Godunov scheme; Numerical simulation; Overland flow; Unstructured grid
Abstract: A new numerical model for simulating overland flows has been developed using Godunov scheme based on the two-dimensional fully dynamic shallow water equations (SWEs). There are a number of frequently and partially submerged cells due to steep slopes, coarse meshes and small depth when simulatingcontrol the global stability of the model, the semi-implicit discretization method is adopted to deal with the highly nonlinear friction terms. The new model provides more comprehensive calculation capabilities, which are proved by several case studies, and the numerical results match well with analytical solutions, experimental data or results computed by other numerical models.