Please use this identifier to cite or link to this item: https://doi.org/10.1002/nme.2398
Title: A singular-value decomposition (SVD)-based generalized finite difference (GFD) method for close-interaction moving boundary flow problems
Authors: Ang, S.J.
Yeo, K.S. 
Chew, C.S.
Shu, C. 
Keywords: Close interaction
Generalized finite difference (GFD)
Hybrid Cartesian meshfree glids
Least-squares approximation
Moving boundary
Singular-value decomposition (SVD)
Issue Date: 2008
Source: Ang, S.J., Yeo, K.S., Chew, C.S., Shu, C. (2008). A singular-value decomposition (SVD)-based generalized finite difference (GFD) method for close-interaction moving boundary flow problems. International Journal for Numerical Methods in Engineering 76 (12) : 1892-1929. ScholarBank@NUS Repository. https://doi.org/10.1002/nme.2398
Abstract: In this paper, we present a study on a singular-value decomposition (SVD)-based generalized finite difference (GFD) method and a nodal selection scheme for moving body/boundary flow problems formulated on a hybrid Cartesian cum meshfree grid system. The present study shows that the SVD-based method is more robust and accurate than the conventional least-squares-based GFD scheme. A nodal selection scheme is also introduced to overcome the problem of numerical instability associated with the clustering of computational nodes. Such nodal clustering occurs dynamically when moving bodies or boundaries approach within close proximity of each other, resulting in the overlap of their meshfree grids. The nodal scheme is applied to close-interaction flow problems as exemplified by the squeezing action of a circular cylinder through a very narrow slot and the close proximity bypass interaction of two oscillating circular cylinders. Copyright © 2008 John Wiley & Sons, Ltd.
Source Title: International Journal for Numerical Methods in Engineering
URI: http://scholarbank.nus.edu.sg/handle/10635/84816
ISSN: 00295981
DOI: 10.1002/nme.2398
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