Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10678077 | Applied Mathematical Modelling | 2005 | 19 Pages |
Abstract
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.
Related Topics
Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
M.B. Liu, W.P. Xie, G.R. Liu,