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

Haiyan Su, Pengzhan Huang, Juan Wen & Xinlong Feng

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

Published online: 2018-02

Preview Purchase PDF 2 786
Export citation
  • 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

  • Email address
  • BibTex
  • RIS
  • TXT
Copy to clipboard
The citation has been copied to your clipboard