Author(s): Yanfen Geng; Zhili Wang
Linked Author(s):
Keywords: Porous shallow water equation; Finite volume method; Source terms; Roe; Finite volume; Unstructured grid
Abstract: In this paper, two-dimensional urban flood model is developed, based on the porous shallow water equations in which porosity method are used to describe the effects of building. An unstructured finite-volume numerical algorithm was presented for solution of the equations, in which the modified Roe type approximate Riemann solver is used for the flux with porosity. The source terms of the bed slope and porosity are both decomposed in the characteristic direction to make the scheme exactly satisfy the conservative property. The present model was tested by the flash flood in Toce valley, where the porous model is compared to a refined flow model containing obstacles that represent a schematic urban area. The results show that the model can simulate the influence of building, and numerical scheme can keep the flux balance at the interface with harmonious, high efficiency and high resolution.
Year: 2013