Year: 2014
East Asian Journal on Applied Mathematics, Vol. 4 (2014), Iss. 2 : pp. 132–151
Abstract
Three iterative stabilised finite element methods based on local Gauss integration are proposed in order to solve the steady two-dimensional Smagorinsky model numerically. The Stokes iterative scheme, the Newton iterative scheme and the Oseen iterative scheme are adopted successively to deal with the nonlinear terms involved. Numerical experiments are carried out to demonstrate their effectiveness. Furthermore, the effect of the parameters $Re$ (the Reynolds number) and $δ$ (the spatial filter radius) on the performance of the iterative numerical results is discussed.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/eajam.230913.120314a
East Asian Journal on Applied Mathematics, Vol. 4 (2014), Iss. 2 : pp. 132–151
Published online: 2014-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 20
Keywords: Smagorinsky model stabilised finite element method local Gauss integration iterative scheme lid driven cavity flow.
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