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Three Iterative Finite Element Methods for the Stationary Smagorinsky Model

Published online by Cambridge University Press:  28 May 2015

Haiyan Su*
Affiliation:
College of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, RR., China
Pengzhan Huang*
Affiliation:
College of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, RR., China
Juan Wen*
Affiliation:
Faculty of Science, Xi'an Jiaotong University, Xi'an 710049, RR., China
Xinlong Feng*
Affiliation:
College of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, RR., China
*
Corresponding author. Email Address: yanzi880308xju@sina.com
Corresponding author. Email Address: hpzh007@gmail.com
Corresponding author. Email Address: zhongnanjicuan@163.com
Corresponding author. Email Address: fxlmath@gmail.com
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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.

Type
Research Article
Copyright
Copyright © Global-Science Press 2014

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