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《Chinese Journal of Hydrodynamics》 2011-06
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Comparative study of SPH and MPS methods for numerical simulations of dam breaking problems

ZHANG Chi,ZHANG Yu-xin,WAN De-cheng(State Key laboratory of Ocean Engineering,School of Naval Architecture,Ocean and Civil Engineering,Shanghai Jiaotong University,Shanghai 200240,China)  
SPH(Smoothed Particle Hydrodynamics) and MPS(Moving Particle Semi-Implicit) are two commonly used Lagrangian particle methods.They have excellent flexibility in dealing with large-deformed free surface flows.But there are some differences between SPH and MPS on numerical scheme,computational efficiency,and speed of convergence.A 2-D dam breaking problem is chosen to be simulated by the SPH and MPS to investigate these two methods in this paper,the numerical results show that the profile of water by the SPH is usually clearer and smoother,while those obtained by the MPS present a splashing and violent free surface.In addition,convergence is investigated in this paper,the results show that suitable large particle number is essential to capture the details of flow,and the convergence rate of the MPS is quicker than that of the SPH as the initial space distance between neighboring particles decreasing.The adopted time step doesn't make too much effect on the results when the CFL condition is satisfied.For computational efficiency,the SPH is more efficient in dealing with large-scale free surface flows while the MPS method is very time-consuming to solve linear system equations.Through the investigation,we provide a basis for selection of different meshless particle methods for specific problem.
【Fund】: 国家自然科学基金项目(50739004 11072154);; 上海高校东方学者特聘教授岗位计划项目(2008007)资助;; 海洋工程国家重点实验室自主研究课题基金(GKZD010053-11);; 上海东方学者人才计划基金;; 英国劳氏船级社教育基金(LRET)的资助
【CateGory Index】: TV135;O35
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