Modeling incompressible flows using a finite particle method
Modeling incompressible flows using a finite particle method
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DOI：
10.1016/j.apm.2005.05.003
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发表时间：
2005-12
影响因子：
5
通讯作者：
Moubin Liu;W. Xie;Guirong Liu
中科院分区：
文献类型：
--
作者：
Moubin Liu;W. Xie;Guirong Liu
本文介绍了有限粒子法（FPM）在不可压缩流动问题中的应用。FPM是一种无网格粒子方法，通过求解逐点矩阵方程，可以同时得到场变量及其导数的近似值。采用一组基函数通过一系列变换获得系数矩阵。有限粒子法可用于离散控制流体流动的Navier-Stokes方程。不可压缩流通过特别选择的状态方程被建模为轻微可压缩。四个数值算例，包括经典Poiquille流，Couette流，剪切驱动的空腔和大坝倒塌的问题与其他来源的比较。数值算例表明，FPM是一种非常有吸引力的替代模拟不可压缩流动，特别是那些与自由表面，移动界面或可变形边界。
This paper describes the applications of a finite particle method (FPM) to modeling incompressible flow problems. FPM is a meshfree particle method in which the approximation of a field variable and its derivatives can be simultaneously obtained through solving a pointwise matrix equation. A set of basis functions is employed to obtain the coefficient matrix through a sequence of transformations. The finite particle method can be used to discretize the Navier–Stokes equation that governs fluid flows. The incompressible flows are modeled as slightly compressible via specially selected equations of state. Four numerical examples including the classic Poiseuille flow, Couette flow, shear driven cavity and a dam collapsing problem are presented with comparisons to other sources. The numerical examples demonstrate that FPM is a very attractive alternative for simulating incompressible flows, especially those with free surfaces, moving interfaces or deformable boundaries.