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Title: Meshfree weak-strong (MWS) form method and its application to incompressible flow problems
Authors: Liu, G.R. 
Wu, Y.L. 
Ding, H.
Keywords: Flow around a circular cylinder
Incompressible flow
Meshfree method
Moving least squares
Natural convection
Radial basis functions approximation
Vorticity-stream function
Issue Date: 10-Dec-2004
Citation: Liu, G.R., Wu, Y.L., Ding, H. (2004-12-10). Meshfree weak-strong (MWS) form method and its application to incompressible flow problems. International Journal for Numerical Methods in Fluids 46 (10) : 1025-1047. ScholarBank@NUS Repository.
Abstract: A meshfree weak-strong (MWS) form method has been proposed by the authors' group for linear solid mechanics problems based on a combined weak and strong form of governing equations. This paper formulates the MWS method for the incompressible Navier-Stokes equations that is non-linear in nature. In this method, the meshfree collocation method based on strong form equations is applied to the interior nodes and the nodes on the essential boundaries; the local Petrov-Galerkin weak form is applied only to the nodes on the natural boundaries of the problem domain. The MWS method is then applied to simulate the steady problem of natural convection in an enclosed domain and the unsteady problem of viscous flow around a circular cylinder using both regular and irregular nodal distributions. The simulation results are validated by comparing with those of other numerical methods as well as experimental data. It is demonstrated that the MWS method has very good efficiency and accuracy for fluid flow problems. It works perfectly well for irregular nodes using only local quadrature cells for nodes on the natural boundary, which can be generated without any difficulty. Copyright © 2004 John Wiley & Sons, Ltd.
Source Title: International Journal for Numerical Methods in Fluids
ISSN: 02712091
DOI: 10.1002/fld.785
Appears in Collections:Staff Publications

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