摘要
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 Navier-Stokes type on the coarse mesh and solve a variational inequality problem of Navier-Stokes 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.
基金
supported by Zhejiang Provincial Natural Science Foundation with Grant Nos.LY12A01015,LY14A010020 and LY16A010017.
