One higher order scheme for shallow water equations based on HLLE approximate Riemann solver
- 作者：GENG Yan-fenWANG Zhi-li
- 会议时间：2009-08-05
- 关键词：shallow water flow ; approximate Riemann solver ; flux limiter ; source terms
- 作者单位：GENG Yan-fen(Transportation College, Southeast University, Najing 210096, China)WANG Zhi-li(State Key Laboratory of Hydrology-Water Resources and Hydraulic Engineering, Nanjing Hydraulic Research Institute, Nanjing 210024,China)
- 母体文献：第十四届中国海洋(岸)工程学术讨论会论文集
- 会议名称：第十四届中国海洋(岸)工程学术讨论会
- 会议地点：呼和浩特
- 主办单位：中国海洋学会
- 语种：chi
摘要
The present work addresses the numerical scheme of shallow water flows with the application of the HLLE approximate Riemann solver.The scheme solves the 1D shallow water equations with source terms using a Godunov-type finite volume method.The solver is robust,especially for the wetting/drying interface and complex terrain.The reconstruction with Superbee limiter and the two-step Runge-Kutta approach are applied in spatial and time,respectively,to get second-order TVD scheme.Comparisons between model results and exact solutions show that the scheme is high-order accurate,robust conservative and highly in capturing strong gradients.