Please use this identifier to cite or link to this item: https://doi.org/10.1016/S0045-7825(02)00618-7
Title: Local radial basis funcion-based differential quadrature method and its application to solve two-dimensional incompressible Navier-Stokes equations
Authors: Shu, C. 
Ding, H.
Yeo, K.S. 
Issue Date: 14-Feb-2003
Source: Shu, C.,Ding, H.,Yeo, K.S. (2003-02-14). Local radial basis funcion-based differential quadrature method and its application to solve two-dimensional incompressible Navier-Stokes equations. Computer Methods in Applied Mechanics and Engineering 192 (7-8) : 941-954. ScholarBank@NUS Repository. https://doi.org/10.1016/S0045-7825(02)00618-7
Abstract: Local radial basis function-based differential quadrature method is presented in detail in this paper. The method is a natural mesh-free approach. Like the conventional differential quadrature (DQ) method, it discretizes any derivative at a knot by a weighted linear sum of functional values at its neighbouring knots, which may be distributed randomly. However, different from the conventional DQ method, the weighting coefficients in present method are determined by taking the radial basis functions (RBFs) instead of high order polynomials as the test functions. The method works in a similar fashion as conventional finite difference schemes but with "truly" mesh-free property. In this paper, we mainly concentrate on the multiquadric RBFs since they have exponential convergence. The effects of shape parameter c on the accuracy of numerical solution of linear and nonlinear partial differential equations are studied, and how the value of optimal c varies with the number of local support knots is also numerically demonstrated. The proposed method is validated by its application to the simulation of natural convection in a square cavity. Excellent numerical results are obtained on an irregular knot distribution. © 2002 Elsevier Science B.V. All rights reserved.
Source Title: Computer Methods in Applied Mechanics and Engineering
URI: http://scholarbank.nus.edu.sg/handle/10635/60655
ISSN: 00457825
DOI: 10.1016/S0045-7825(02)00618-7
Appears in Collections:Staff Publications

Show full item record
Files in This Item:
There are no files associated with this item.

SCOPUSTM   
Citations

249
checked on Dec 13, 2017

WEB OF SCIENCETM
Citations

224
checked on Oct 31, 2017

Page view(s)

58
checked on Dec 9, 2017

Google ScholarTM

Check

Altmetric


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.