Please use this identifier to cite or link to this item: https://doi.org/10.1007/s00466-002-0357-4
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dc.titleDevelopment of RBF-DQ method for derivative approximation and its application to simulate natural convection in concentric annuli
dc.contributor.authorWu, Y.L.
dc.contributor.authorShu, C.
dc.date.accessioned2014-06-17T06:17:21Z
dc.date.available2014-06-17T06:17:21Z
dc.date.issued2002-11
dc.identifier.citationWu, 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
dc.identifier.issn01787675
dc.identifier.urihttp://scholarbank.nus.edu.sg/handle/10635/59941
dc.description.abstractThe 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.
dc.description.urihttp://libproxy1.nus.edu.sg/login?url=http://dx.doi.org/10.1007/s00466-002-0357-4
dc.sourceScopus
dc.subjectApproximation of derivatives
dc.subjectConcentric annuli
dc.subjectDQ
dc.subjectNatural convection
dc.subjectPDEs
dc.subjectRBFs
dc.typeArticle
dc.contributor.departmentMECHANICAL ENGINEERING
dc.description.doi10.1007/s00466-002-0357-4
dc.description.sourcetitleComputational Mechanics
dc.description.volume29
dc.description.issue6
dc.description.page477-485
dc.description.codenCMMEE
dc.identifier.isiut000180017800004
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