Please use this identifier to cite or link to this item: https://doi.org/10.1016/j.cma.2005.02.006
Title: Numerical computation of three-dimensional incompressible viscous flows in the primitive variable form by local multiquadric differential quadrature method
Authors: Ding, H.
Shu, C. 
Yeo, K.S. 
Xu, D.
Keywords: DQ method
Fractional step method
Lid-driven cavity flow
Primitive variable form
RBF
Three-dimensional flow
Issue Date: 25-Jan-2006
Source: Ding, H.,Shu, C.,Yeo, K.S.,Xu, D. (2006-01-25). Numerical computation of three-dimensional incompressible viscous flows in the primitive variable form by local multiquadric differential quadrature method. Computer Methods in Applied Mechanics and Engineering 195 (7-8) : 516-533. ScholarBank@NUS Repository. https://doi.org/10.1016/j.cma.2005.02.006
Abstract: In this paper, the local multiquadric differential quadrature (LMQDQ) method is applied on three-dimensional incompressible flow problems. The LMQDQ method is among the newly proposed mesh-free methods. Unlike the traditional differential quadrature (DQ) method, the weighting coefficients of LMQDQ method are determined by using the radial basis functions (RBFs) as the trial functions instead of high-order polynomials. The main concern of this paper is to discuss the effectiveness of using LMQDQ method to solve 3-D incompressible Navier-Stokes (N-S) equations in the primitive-variable form. Three-dimensional lid-driven cavity flow problem with Reynolds numbers of 100, 400 and 1000 was chosen as a test case to validate the LMQDQ method. The computed velocity profiles along the vertical and horizontal centerlines are given and compared with available data in the literature. © 2005 Elsevier B.V. All rights reserved.
Source Title: Computer Methods in Applied Mechanics and Engineering
URI: http://scholarbank.nus.edu.sg/handle/10635/60924
ISSN: 00457825
DOI: 10.1016/j.cma.2005.02.006
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