Two-Grid Arrow-Hurwicz Methods for the Steady Incompressible Navier-Stokes Equations

被引：0
作者：
Binbin Du
Jianguo Huang
Haibiao Zheng
机构：
[1] Southwestern University of Finance and Economics,School of Economic Mathematics
[2] Shanghai Jiao Tong University,School of Mathematical Sciences, and MOE
[3] East China Normal University,LSC
来源：
Journal of Scientific Computing | 2021年 / 89卷
关键词：
Navier-Stokes equations; Two-grid strategy; Arrow-Hurwicz method; Error analysis;
D O I：
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摘要：
In this paper, three kinds of two-grid Arrow-Hurwicz (A-H) methods are proposed and analyzed for the steady incompressible Navier-Stokes equations, which adopt the existing A-H method to obtain the coarse mesh solution, and further enhance the efficiency by three different one-step schemes (Oseen type, Simple type and Newton type) on the fine mesh. These methods combine the A-H method and the two-grid strategy, retaining the best features of two techniques and overcoming some of their limitations. Furthermore, the error analyses of the three methods are carefully studied and the numerical tests are reported to demonstrate the theoretical results and show the efficiency of the methods.
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