A large time step Godunov scheme for free-surface shallow water equations  

作　　者：Renyi Xu Deyu Zhong Baosheng Wu Xudong Fu Runze Miao 

机构地区：[1]School of Hydraulic,Energy and Power Engineering,Yangzhou University [2]Department of Hydraulic Engineering,Tsinghua University

出　　处：《Chinese Science Bulletin》2014年第21期2534-2540,共7页

基　　金：supported by the National Basic Research Program of China (2011CB403304,2011CB409901);the National Natural Science Foundation of China (51039004,51109009)

摘　　要：An algorithm for simulating free surface flows is presented using large time step based on the wave-propagation method proposed by LeVeque,and an exact Riemann solver is used.A multiple wave approximation approach was suggested for eliminating the discontinuities found in the rarefaction fans of dam-breaking flows.In addition,we use the random choice method to reduce non-physical oscillations.Applications demonstrate that the algorithm proposed in this paper can considerably increase the CFL number up to 25when modeling dam-break flows,while retaining satisfactory accuracy and efficiency.This suggests that our algorithm has the potential to be applied to modeling free surface flows.An algorithm for simulating free surface flows is presented using large time step based on the wave-propagation method proposed by LeVeque, and an exact Riemann solver is used. A multiple wave approximation approach was suggested for eliminating the discontinuities found in the rarefaction fans of dam-breaking flows. In addition, we use the random choice method to reduce non-physical oscillations. Applications demonstrate that the algorithm proposed in this paper can considerably increase the CFL number up to 25 when modeling dam-break flows, while retaining satisfactory accuracy and efficiency. This suggests that our algorithm has the potential to be applied to modeling free surface flows.

关 键 词：自由表面流动 Godunov格式 大时间步长 浅水方程 不连续性 近似方法 随机选择 溃坝流动 

分 类 号：O175[理学—数学]