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一种改进的MPS粒子作用模型
引用本文:张帅,楼一民,邢菲,石兴.一种改进的MPS粒子作用模型[J].计算力学学报,2013,30(1):124-129.
作者姓名:张帅  楼一民  邢菲  石兴
作者单位:浙江大学工程与科学计算研究中心航空航天学院,杭州,310027
基金项目:国家自然科学基金(11002125)资助项目.
摘    要:从分析角度出发,为移动粒子半隐式法(MPS)提供了一组新的粒子作用模型,该模型在粒子局部坐标系下进行泰勒展开,同步获取各算子的粒子近似式,确保了离散精度的一致性.方法对于随机分布的粒子和边界附近的粒子同样适用.文中利用三个算例对该方法进行了检验,计算结果与分析解符合较好.最后,运用该方法成功模拟了自由面流动的二维溃坝问题.

关 键 词:粒子作用模型  移动粒子半隐式法  无网格方法  数值模拟
收稿时间:9/1/2011 12:00:00 AM
修稿时间:2012/4/20 0:00:00

A new consistent particle interaction models for moving particle semi-implicit method
ZHANG Shuai,LOU Yi-min,XING Fei and SHI Xing.A new consistent particle interaction models for moving particle semi-implicit method[J].Chinese Journal of Computational Mechanics,2013,30(1):124-129.
Authors:ZHANG Shuai  LOU Yi-min  XING Fei and SHI Xing
Institution:Center for Engineering and Scientific Computation, and School of Aeronautics and Astronautics, Zhejiang University, Hangzhou 310027, China;Center for Engineering and Scientific Computation, and School of Aeronautics and Astronautics, Zhejiang University, Hangzhou 310027, China;Center for Engineering and Scientific Computation, and School of Aeronautics and Astronautics, Zhejiang University, Hangzhou 310027, China;Center for Engineering and Scientific Computation, and School of Aeronautics and Astronautics, Zhejiang University, Hangzhou 310027, China
Abstract:In this study,a set of particle interaction models are proposed for the moving particle semi-implicit (MPS) method.Discretization of operators are obtained using Taylor series in the particle's local coordinates.By this approach,the set of MPS models with a better precision can be gotten when MPS particles are randomly positioned or near to boundaries.Three typical tests are performed to verify the modified method and related discretization schemes.Furthermore,the new MPS method is implemented to simulate the broken-dam phenomenon.
Keywords:particle interaction model  moving particle semi-implicit method  mesh-free method  numerical simulation
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