Numerical solution of incompressible flows by discrete singular convolution

A discrete singular convolution (DSC) solver is developed for treating incompressible flows. Three different two‐dimensional benchmark problems, the Taylor problem, the driven cavity flow, and a periodic shear layer flow, are utilized to test the accuracy, to explore the reliability and to demonstra...

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Bibliographic Details
Published in:International journal for numerical methods in fluids 2002-03, Vol.38 (8), p.789-810
Main Authors: Wan, D. C., Zhou, Y. C., Wei, G. W.
Format: Article
Language:English
Subjects:
Computational methods in fluid dynamics
discrete singular convolution
driven cavity flow
Exact sciences and technology
Fluid dynamics
Fundamental areas of phenomenology (including applications)
Laminar flows
Laminar flows in cavities
periodic shear layer flow
Physics
Taylor problem
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Summary:A discrete singular convolution (DSC) solver is developed for treating incompressible flows. Three different two‐dimensional benchmark problems, the Taylor problem, the driven cavity flow, and a periodic shear layer flow, are utilized to test the accuracy, to explore the reliability and to demonstrate the efficiency of the present approach. Solution of extremely high accuracy is attained in the analytically solvable Taylor problem. The results of treating the other problems are in excellent agreement with those in the literature. Copyright © 2002 John Wiley & Sons, Ltd.
ISSN:0271-2091
1097-0363
DOI:10.1002/fld.253