Title :
A dynamic grid model for high resolutions of unsteady shallow water simulations
Author :
Huajie Zhang ; Jianzhong Zhou ; Sheng Bi ; Yue Zhao
Author_Institution :
Sch. of Hydropower & Inf. Eng., Huazhong Univ. of Sci. & Technol., Wuhan, China
Abstract :
A two-dimensional shallow water simulation model based on adaptive quadtree mesh has been developed to study the process of flood inundation in this paper. The model employees the Godunov-type finite volume method to solve the two-dimensional shallow water equations. An adaptive criterion is applied according to local flow paten and the corresponding density of computational cells varies locally. HLLC Riemann approximate solver is adopted to evaluate convective fluxes across cell interfaces and non-negative reconstruction is implemented for second-order accuracy in space. The numerical model is validated against benchmark problems for oblique hydraulic jump case and circle dam break case. The results show that the model is robust and can simulate shallow water flows involving wet/dry front stably and accurately.
Keywords :
approximation theory; convection; finite volume methods; floods; flow simulation; pattern formation; quadtrees; shallow water equations; 2D shallow water simulation; Godunov-type finite volume method; HLLC Riemann approximate solver; adaptive criterion; adaptive quadtree mesh; cell interfaces; circle dam break; computational cell density; convective fluxes; dry front; dynamic grid model; flood inundation process; local flow paten; nonnegative reconstruction; numerical model; oblique hydraulic jump; second-order accuracy; shallow water flows; unsteady shallow water simulation resolutions; wet front; Gold; Numerical models; HLLC approximate Riemann solver; adaptive quadtree grids; shallow water equations; well-balanced scheme;
Conference_Titel :
Mechatronic Sciences, Electric Engineering and Computer (MEC), Proceedings 2013 International Conference on
Conference_Location :
Shengyang
Print_ISBN :
978-1-4799-2564-3
DOI :
10.1109/MEC.2013.6885509