Two-grid stabilized methods for the stationary incompressible Navier–Stokes equations with nonlinear slip boundary conditions

Hailong Qiu

Applied Mathematics and Computation, 2018, vol. 332, issue C, 172-188

Abstract: In this paper, we consider a two-grid quadratic equal-order stabilized method for the stationary incompressible Navier–Stokes equations with nonlinear slip boundary conditions. Our two-grid stabilized method consists of computing one nonlinear problem on a coarse mesh and then solving a linearization correction problem on a fine mesh. Moreover, the stability and convergence of the present method are derived. Finally, numerical experiments are performed to confirm our theoretical results.

Keywords: Navier–Stokes equations; Slip boundary conditions; Quadratic equal-order pair; Two-grid method; Two error estimates (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:332:y:2018:i:c:p:172-188

DOI: 10.1016/j.amc.2018.03.066

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