TY - JOUR
T1 - Subgrid Model for the Stationary Incompressible Navier-Stokes Equations Based on the High Order Polynomial Interpolation
AU - Zhang , Y.
AU - Feng , M.
AU - He , Y.
JO - International Journal of Numerical Analysis and Modeling
VL - 4
SP - 734
EP - 748
PY - 2010
DA - 2010/07
SN - 7
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnam/749.html
KW - Navier-Stokes equation, subgrid method, eddy viscosity, error analysis and numerical tests.
AB - <p style="text-align: justify;">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.</p>