Two-grid variational multiscale algorithms for the stationary incompressible Navier-Stokes equations with friction boundary conditions

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• 作者：Hailong Qiu ; Liquan Mei and Yongchao Zhang
• 刊名：Numerical Methods for Partial Differential Equations
• 出版年：2017
• 出版时间：March 2017
• 年：2017
• 卷：33
• 期：2
• 页码：546-569
• 全文大小：9555K
• ISSN：1098-2426

文摘

Two-grid variational multiscale (VMS) algorithms for the incompressible Navier-Stokes equations with friction boundary conditions are presented in this article. First, one-grid VMS algorithm is used to solve this problem and some error estimates are derived. Then, two-grid VMS algorithms are proposed and analyzed. The algorithms consist of nonlinear problem on coarse grid and linearized problem (Stokes problem or Oseen problem) on fine grid. Moreover, the stability and convergence of the present algorithms are established. Finally, Numerical results are shown to confirm the theoretical analysis.