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Two-Level Defect-Correction Method for Steady Navier-Stokes Problem with Friction Boundary Conditions

Published online by Cambridge University Press:  19 September 2016

An Liu
Affiliation:
College of Mathematics and Information Science, Wenzhou University, Wenzhou 325035, China
Yuan Li
Affiliation:
College of Mathematics and Information Science, Wenzhou University, Wenzhou 325035, China
Rong An*
Affiliation:
College of Mathematics and Information Science, Wenzhou University, Wenzhou 325035, China
*
*Corresponding author. Email:[email protected], [email protected] (R. An)
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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 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 L2 norm are derived. Finally, the numerical results are provided to confirm our theoretical analysis.

Type
Research Article
Copyright
Copyright © Global-Science Press 2016 

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