Please use this identifier to cite or link to this item: https://doi.org/10.1002/fld.566
Title: Numerical computation of three-dimensional incompressible Navier-Stokes equations in primitive variable form by DQ method
Authors: Shu, C. 
Wang, L.
Chew, Y.T. 
Keywords: Lid-driven cavity flow
N-S equations
PDQ method
Primitive variable form
SIMPLE strategy
Three-dimensional flow
Issue Date: 10-Oct-2003
Source: Shu, C., Wang, L., Chew, Y.T. (2003-10-10). Numerical computation of three-dimensional incompressible Navier-Stokes equations in primitive variable form by DQ method. International Journal for Numerical Methods in Fluids 43 (4) : 345-368. ScholarBank@NUS Repository. https://doi.org/10.1002/fld.566
Abstract: In this paper, the global method of differential quadrature (DQ) is applied to solve three-dimensional Navier-Stokes equations in primitive variable form on a non-staggered grid. Two numerical approaches were proposed in this work, which are based on the pressure correction process with DQ discretization. The essence in these approaches is the requirement that the continuity equation must be satisfied on the boundary. Meanwhile, suitable boundary condition for pressure correction equation was recommended. Through a test problem of three-dimensional driven cavity flow, the performance of two approaches was comparatively studied in terms of the accuracy. The numerical results were obtained for Reynolds numbers of 100, 200, 400 and 1000. The present results were compared well with available data in the literature. In this work, the grid-dependence study was done, and the benchmark solutions for the velocity profiles along the vertical and horizontal centrelines were given. © 2003 John Wiley and Sons, Ltd.
Source Title: International Journal for Numerical Methods in Fluids
URI: http://scholarbank.nus.edu.sg/handle/10635/60923
ISSN: 02712091
DOI: 10.1002/fld.566
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