Please use this identifier to cite or link to this item:
|Modeling incompressible flows using a finite particle method
Finite particle method
Smoothed particle hydrodynamics
|Liu, M.B., Xie, W.P., Liu, G.R. (2005-12). Modeling incompressible flows using a finite particle method. Applied Mathematical Modelling 29 (12) : 1252-1270. ScholarBank@NUS Repository. https://doi.org/10.1016/j.apm.2005.05.003
|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. © 2005 Elsevier Inc. All rights reserved.
|Applied Mathematical Modelling
|Appears in Collections:
Show full item record
Files in This Item:
There are no files associated with this item.
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.