自由表面问题的质点有限元方法及其有效性分析（英文）  

Particle finite element method for free-surface problem and its validation analysis

作　　者：周煜 侯磊[1] ZHOU Yu;HOU Lei(College of Sciences,Shanghai University,Shanghai 200444,China)

机构地区：[1]上海大学理学院,上海200444

出　　处：《应用数学与计算数学学报》2018年第4期914-924,共11页Communication on Applied Mathematics and Computation

基　　金：supported by the National Natural Science Foundation of China(11271247)

摘　　要：研究了求解自由表面流动的拉格朗日型质点有限元方法.此方法将网格节点视作质点,并且流场的物理性质(压力、速度等)随着质点的移动而转移.通过与传统有限元方法结合,求解了描述不可压缩流体的Navier-Stokes方程,有效模拟了溃坝水流问题,并分析了解对网格划分与时间尺度的依赖,验证了算法的有效性.In this paper,the particle finite element method(PFEM)with the arbitrary Lagrangian-Eulerian(ALE)for a free-surface problem has been investigated.The mesh nodes are treated as particles in the PFEM,all the information is transmitted by the particles.In each time step,combining with the classical finite element method(FEM),the incompressible Navier-Stokes equations are solved by using a Lagrangian formulation,the dam break flow problem has been simulated effectively,and the validation of this methodology is verified by analyzing the mesh and time dependence of the solution.

关 键 词：质点有限元法 自由表面流动 数值模拟 

分 类 号：O242.21[理学—计算数学]