A large time step Godunov scheme for free-surface shallow water equations | |
Renyi Xu ; Deyu Zhong ; Baosheng Wu ; Xudong Fu ; Runze Miao ; Renyi Xu ; Deyu Zhong ; Baosheng Wu ; Xudong Fu ; Runze Miao | |
2016-03-30 ; 2016-03-30 | |
关键词 | Large time step scheme CFL number Shallow water equations Random choice method O175 |
其他题名 | A large time step Godunov scheme for free-surface shallow water equations |
中文摘要 | 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 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. |
语种 | 英语 ; 英语 |
内容类型 | 期刊论文 |
源URL | [http://ir.lib.tsinghua.edu.cn/ir/item.do?handle=123456789/148670] |
专题 | 清华大学 |
推荐引用方式 GB/T 7714 | Renyi Xu,Deyu Zhong,Baosheng Wu,et al. A large time step Godunov scheme for free-surface shallow water equations[J],2016, 2016. |
APA | Renyi Xu.,Deyu Zhong.,Baosheng Wu.,Xudong Fu.,Runze Miao.,...&Runze Miao.(2016).A large time step Godunov scheme for free-surface shallow water equations.. |
MLA | Renyi Xu,et al."A large time step Godunov scheme for free-surface shallow water equations".(2016). |
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