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Volume 4, Issue 2
Three Iterative Finite Element Methods for the Stationary Smagorinsky Model

Haiyan Su, Pengzhan Huang, Juan Wen & Xinlong Feng

DOI: 10.4208/eajam.230913.120314a

East Asian J. Appl. Math., 4 (2014), pp. 132-151.

Published online: 2018-02

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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.

  • Keywords

Smagorinsky model, stabilised finite element method, local Gauss integration, iterative scheme, lid driven cavity flow.

  • AMS Subject Headings

65N30, 65N12, 76D07

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{EAJAM-4-132, author = {Haiyan Su, Pengzhan Huang, Juan Wen and Xinlong Feng}, title = {Three Iterative Finite Element Methods for the Stationary Smagorinsky Model}, journal = {East Asian Journal on Applied Mathematics}, year = {2018}, volume = {4}, number = {2}, pages = {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.

}, issn = {2079-7370}, doi = {https://doi.org/10.4208/eajam.230913.120314a}, url = {http://global-sci.org/intro/article_detail/eajam/10828.html} }
TY - JOUR T1 - Three Iterative Finite Element Methods for the Stationary Smagorinsky Model AU - Haiyan Su, Pengzhan Huang, Juan Wen & Xinlong Feng JO - East Asian Journal on Applied Mathematics VL - 2 SP - 132 EP - 151 PY - 2018 DA - 2018/02 SN - 4 DO - http://doi.org/10.4208/eajam.230913.120314a UR - https://global-sci.org/intro/article_detail/eajam/10828.html KW - Smagorinsky model, stabilised finite element method, local Gauss integration, iterative scheme, lid driven cavity flow. AB -

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.

Haiyan Su, Pengzhan Huang, Juan Wen and Xinlong Feng. (2018). Three Iterative Finite Element Methods for the Stationary Smagorinsky Model. East Asian Journal on Applied Mathematics. 4 (2). 132-151. doi:10.4208/eajam.230913.120314a
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