Subgrid Model for the Stationary Incompressible Navier-Stokes Equations Based on the High Order Polynomial Interpolation
Year: 2010
Author: Y. Zhang, M. Feng, Y. He
International Journal of Numerical Analysis and Modeling, Vol. 7 (2010), Iss. 4 : pp. 734–748
Abstract
In this paper, we propose a subgrid finite element method for the two-dimensional (2D) stationary incompressible Navier-Stokes equation (NSE) based on high order finite element polynomial interpolations. This method yields a subgrid eddy viscosity which does not act on the large scale flow structures. The proposed eddy viscous term consists of the fluid flow fluctuation stress. The fluctuation stress can be calculated by means of simple reduced-order polynomial projections. Assuming some regular results of NSE, we give a complete error analysis. Finally, in the part of numerical tests, the numerical computations show that the numerical results agree with some benchmark solutions and theoretical analysis very well.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2010-IJNAM-749
International Journal of Numerical Analysis and Modeling, Vol. 7 (2010), Iss. 4 : pp. 734–748
Published online: 2010-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 15
Keywords: Navier-Stokes equation subgrid method eddy viscosity error analysis and numerical tests.