Please use this identifier to cite or link to this item:
https://scholarbank.nus.edu.sg/handle/10635/60846
DC Field | Value | |
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dc.title | Multiquadric finite difference (MQ-FD) method and its application | |
dc.contributor.author | Shan, Y.Y. | |
dc.contributor.author | Shu, C. | |
dc.contributor.author | Qin, N. | |
dc.date.accessioned | 2014-06-17T06:28:01Z | |
dc.date.available | 2014-06-17T06:28:01Z | |
dc.date.issued | 2009 | |
dc.identifier.citation | Shan, Y.Y.,Shu, C.,Qin, N. (2009). Multiquadric finite difference (MQ-FD) method and its application. Advances in Applied Mathematics and Mechanics 1 (5) : 615-638. ScholarBank@NUS Repository. | |
dc.identifier.issn | 20700733 | |
dc.identifier.uri | http://scholarbank.nus.edu.sg/handle/10635/60846 | |
dc.description.abstract | The conventional finite difference (FD) schemes are based on the low order polynomial approximation in a local region. This paper shows that when the polynomial approximation is replaced by the multiquadric (MQ) function approximation in the same region, a new FD method, which is termed as MQ-FD method in this work, can be developed. The paper gives analytical formulas of the MQ-FD method and carries out a performance study for its derivative approximation and solution of Poisson equation and the incompressible Navier-Stokes equations. In addition, the effect of the shape parameter c in MQ on the formulas of the MQ-FD method is analyzed. Derivative approximation in one-dimensional space and Poisson equation in two-dimensional space are taken as model problems to study the accuracy of the MQ-FD method. Furthermore, a lid-driven flow problem in a square cavity is simulated by the MQ-FD method. The obtained results indicate that this method may solve the engineering problem very accurately with a proper choice of the shape parameter c. © 2009 Global Science Press. | |
dc.source | Scopus | |
dc.subject | Central FD method. | |
dc.subject | MQ-FD method | |
dc.subject | Shape parameter | |
dc.type | Article | |
dc.contributor.department | MECHANICAL ENGINEERING | |
dc.description.sourcetitle | Advances in Applied Mathematics and Mechanics | |
dc.description.volume | 1 | |
dc.description.issue | 5 | |
dc.description.page | 615-638 | |
dc.identifier.isiut | NOT_IN_WOS | |
Appears in Collections: | Staff Publications |
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