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Title: Modeling incompressible flows using a finite particle method
Authors: Liu, M.B. 
Xie, W.P.
Liu, G.R. 
Keywords: Basis function
Finite particle method
Incompressible flow
Meshless/meshfree methods
Smoothed particle hydrodynamics
Issue Date: Dec-2005
Citation: 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.
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. © 2005 Elsevier Inc. All rights reserved.
Source Title: Applied Mathematical Modelling
ISSN: 0307904X
DOI: 10.1016/j.apm.2005.05.003
Appears in Collections:Staff Publications

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