A parallel two-grid method based on finite element approximations for the 2D/3D Navier-Stokes equations with damping

被引：5

作者：

Wassim, Eid ^{[1
]}

Zheng, Bo ^{[1
]}

Shang, Yueqiang ^{[1
]}

机构：

[1] Southwest Univ, Sch Math & Stat, Chongqing 400715, Peoples R China

来源：

ENGINEERING WITH COMPUTERS | 2024年 / 40卷 / 01期

关键词：

Navier-Stokes equations; Damping; Finite element; Parallel algorithm; Two-grid method; VARIATIONAL MULTISCALE METHOD; LADYZHENSKAYA MODEL; 2-LEVEL METHOD; STATIONARY; ALGORITHMS; DISCRETIZATIONS; SIMULATION; PARTITION; EXISTENCE; UNITY;

D O I：

10.1007/s00366-023-01807-w

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

Based on two-grid discretizations, this paper introduces a parallel finite element method for the 2D/3D Navier-Stokes equations with damping. In this method, we first solve a fully nonlinear problem on a global coarse grid, and then solve linearized residual subproblems in overlapping fine grid subdomains to update the coarse grid solution by some local and parallel procedures. With the help of local a priori estimate for the finite element solution, errors of the approximate solution from the proposed method are estimated. Performance of the proposed method is also illustrated by some numerical tests.

引用

页码：541 / 554

页数：14

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