Please use this identifier to cite or link to this item: https://doi.org/10.1007/s00466-002-0357-4
Title: Development of RBF-DQ method for derivative approximation and its application to simulate natural convection in concentric annuli
Authors: Wu, Y.L. 
Shu, C. 
Keywords: Approximation of derivatives
Concentric annuli
DQ
Natural convection
PDEs
RBFs
Issue Date: Nov-2002
Source: Wu, Y.L.,Shu, C. (2002-11). Development of RBF-DQ method for derivative approximation and its application to simulate natural convection in concentric annuli. Computational Mechanics 29 (6) : 477-485. ScholarBank@NUS Repository. https://doi.org/10.1007/s00466-002-0357-4
Abstract: The radial basis functions (RBFs) have been proven to have excellent properties for interpolation problems, which can be considered as an efficient scheme for function approximation. In this paper, we will explore another type of approximation problem, that is, the derivative approximation, by the RBFs. A new approach, which is based on the differential quadrature (DQ) approximation for the derivative with RBFs as test functions, is proposed to approximate the first, second, and third order derivatives of a function. The performance of three commonly-used RBFs for some typical expressions of derivatives as well as the computation of one-dimensional Burgers equation are studied. Furthermore, the proposed method is applied to simulate natural convection in a concentric annulus by solving Navier-Stokes equations. The obtained results are compared well with exact data or benchmark solutions.
Source Title: Computational Mechanics
URI: http://scholarbank.nus.edu.sg/handle/10635/59941
ISSN: 01787675
DOI: 10.1007/s00466-002-0357-4
Appears in Collections:Staff Publications

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

SCOPUSTM   
Citations

31
checked on Dec 4, 2017

Page view(s)

28
checked on Dec 8, 2017

Google ScholarTM

Check

Altmetric


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