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Volume 6, Number 3, 2016, Pages 607-627                                                                DOI:10.11948/2016042
Two-level iteration penalty and variational multiscale method for steady incompressible flows
Yuqing Zhang,Yuan Li,Rong An
Keywords:Navier-stokes equations, variational multiscale, iteration penalty, two-level method.
      In this paper, we study two-level iteration penalty and variational multiscale method for the approximation of steady Navier-Stokes equations at high Reynolds number. Comparing with classical penalty method, this new method does not require very small penalty parameter $\varepsilon$. Moreover, two-level mesh method can save a large amount of CPU time. The error estimates in $H^1$ norm for velocity and in $L^2$ norm for pressure are derived. Finally, two numerical experiments are shown to support the efficiency of this new method.
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