Please use this identifier to cite or link to this item: http://scholarbank.nus.edu.sg/handle/10635/59560
Title: Application of local MQ-DQ method to solve 3D incompressible viscous flows with curved boundary
Authors: Shan, Y.Y.
Shu, C. 
Lu, Z.L.
Keywords: Error estimate
Flow past a sphere
Local MQ-DQ method
Issue Date: Feb-2008
Source: Shan, Y.Y.,Shu, C.,Lu, Z.L. (2008-02). Application of local MQ-DQ method to solve 3D incompressible viscous flows with curved boundary. CMES - Computer Modeling in Engineering and Sciences 25 (2) : 99-113. ScholarBank@NUS Repository.
Abstract: The local multiquadric-based differential quadrature (MQ-DQ) method proposed by [Shu, Ding, and Yeo (2003)] is a natural meshfree approach for derivative approximation, which is easy to be implemented to solve problems with curved boundary. Previously, it has been well tested for the two-dimensional (2D) case. In this work, this mesh-free method was extended to simulate fluid flow problems with curved boundary in three-dimensional (3D) space. The main concern of this work is to numerically study the performance of the 3D local MQ-DQ method and demonstrate its capability and flexibility for simulation of 3D incompressible fluid flows with curved boundary. Fractional step method was adopted for the solution of Navier-Stokes (N-S) equations in the primitive-variable form. Flow past a sphere with various Reynolds numbers was chosen as a test case to validate the 3D local MQ-DQ method. The computed solution was compared well with available data in the literature. The numerical solution shows that the local MQ-DQ method can be applied to solve incompressible viscous flow problems with curved boundary in 3D space effectively. Copyright © 2008 Tech Science Press.
Source Title: CMES - Computer Modeling in Engineering and Sciences
URI: http://scholarbank.nus.edu.sg/handle/10635/59560
ISSN: 15261492
Appears in Collections:Staff Publications

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