Volume 8, Issue 6
Two-Level Defect-Correction Method for Steady Navier-Stokes Problem with Friction Boundary Conditions

An Liu ,  Yuan Li and Rong An

10.4208/aamm.2014.m595

Adv. Appl. Math. Mech., 8 (2016), pp. 932-952.

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  • Abstract

In this paper, we present two-level defect-correction finite element method for steady Navier-Stokes equations at high Reynolds number with the friction boundary conditions, which results in a variational inequality problem of the second kind. Based on Taylor-Hood element, we solve a variational inequality problem of NavierStokes type on the coarse mesh and solve a variational inequality problem of NavierStokes type corresponding to Newton linearization on the fine mesh. The error estimates for the velocity in the H1 norm and the pressure in the L 2 norm are derived. Finally, the numerical results are provided to confirm our theoretical analysis.

  • History

Published online: 2018-05

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