应用弱可压缩移动粒子半隐式法(WC-MPS)模拟三维溃坝流动(英文)  

Application of Weakly Compressible Moving Particle Semi-Implicit Method(WC-MPS) for Numerical Simulation of 3-D Dam-break Flows

作　　者：刘永涛[1,2] 朱仁庆 马宁[2] 顾解忡[2] 

机构地区：[1]江苏科技大学,江苏镇江212003 [2]上海交通大学船舶海洋与建筑工程学院,上海200240

出　　处：《船舶力学》2013年第9期982-989,共8页Journal of Ship Mechanics

基　　金：Supported by the National Natural Science Foundation of China(Grant No.10472032,50879030,51179077,51279105);the Project Founded by Priority Academic Program Development of Jiangsu Higher Education Institutions~~

摘　　要：应用弱可压缩移动粒子半隐式法(WC-MPS)模拟了三维溃坝自由液面流动问题。该方法应用流体状态方程来快速求解流场压力,而不是求解压力Poisson方程。对于流动控制方程中的梯度项以及Laplace算子项,分别应用基于核函数加权平均的梯度算子模型以及Laplace算子模型进行处理。同时在固体边界处,通过定义边界粒子以及虚拟粒子来避免粒子数密度计算在边界处出现错误。应用该方法,对两个三维溃坝自由液面流动问题进行了模拟,并与实验结果进行了对比分析,表明两者结果较为一致。A weakly compressible moving particle semi-implicit method （WC-MPS） is applied to sim-ulate 3-D free surface flows of two dam-break problems. For this method, the pressure field is ob-tained efficiently by Tait’s equation of state instead of solving Poisson’s equation. The MPS gradi-ent model and Laplace model are introduced to solve the gradient terms and Laplacian terms in the governing equations. Also on the solid boundaries, the wall particles and ghost particles are placed to avoid the errors in computing the particle number density. Taking advantage of this WC-MPS method, two 3-D dam-break cases are simulated and validated with experimental results, and good agreements are obvious.

关 键 词：三维 WC—MPS 自由液面 溃坝 

分 类 号：O35[理学—流体力学]