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

被引：14

作者：

Qiu, Hailong ^{[1
]}

机构：

[1] Yancheng Inst Technol, Sch Math & Phys, Yancheng 224051, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2018年 / 332卷

关键词：

Navier-Stokes equations; Slip boundary conditions; Quadratic equal-order pair; Two-grid method; Two error estimates; FINITE-ELEMENT-METHOD; LOCAL GAUSS INTEGRATIONS; 2-LEVEL METHOD; FRICTION TYPE; LEAK;

D O I：

10.1016/j.amc.2018.03.066

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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. (C) 2018 Elsevier Inc. All rights reserved.

引用

页码：172 / 188

页数：17

共 50 条

[1] Two-Grid Variational Multiscale Algorithms for the Stationary Incompressible Navier-Stokes Equations with Friction Boundary Conditions
Qiu, Hailong
Mei, Liquan
Zhang, Yongchao
[J]. NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2017, 33 (02) : 546 - 569
[2] Two-grid stabilized finite element methods with backtracking for the stationary Navier-Stokes equations
Han, Jing
Du, Guangzhi
[J]. ADVANCES IN COMPUTATIONAL MATHEMATICS, 2024, 50 (04)
[3] A Subgrid Stabilized Method for Navier-Stokes Equations with Nonlinear Slip Boundary Conditions
Dai, Xiaoxia
Zhang, Chengwei
[J]. MATHEMATICAL MODELLING AND ANALYSIS, 2021, 26 (04) : 528 - 547
[4] Existence of the solution to stationary Navier-Stokes equations with nonlinear slip boundary conditions
Li, Yuan
Li, Kaitai
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2011, 381 (01) : 1 - 9
[5] Two-Grid Arrow-Hurwicz Methods for the Steady Incompressible Navier-Stokes Equations
Du, Binbin
Huang, Jianguo
Zheng, Haibiao
[J]. JOURNAL OF SCIENTIFIC COMPUTING, 2021, 89 (01)
[6] Two-Grid Arrow-Hurwicz Methods for the Steady Incompressible Navier-Stokes Equations
Binbin Du
Jianguo Huang
Haibiao Zheng
[J]. Journal of Scientific Computing, 2021, 89
[7] Two-grid finite element formulations of the incompressible Navier-Stokes equations
Utnes, T
[J]. COMMUNICATIONS IN NUMERICAL METHODS IN ENGINEERING, 1997, 13 (08): : 675 - 684
[8] Two-grid stabilized algorithms for the steady Navier-Stokes equations with damping
Zheng, Bo
Shang, Yueqiang
[J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2023, 46 (01) : 107 - 125
[9] OPERATOR SPLITTING METHODS FOR THE NAVIER-STOKES EQUATIONS WITH NONLINEAR SLIP BOUNDARY CONDITIONS
Li, Yuan
Li, Kaitai
[J]. INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING, 2010, 7 (04) : 785 - 805
[10] ON NO-SLIP BOUNDARY-CONDITIONS FOR THE INCOMPRESSIBLE NAVIER-STOKES EQUATIONS
FOREMAN, MGG
BENNETT, AF
[J]. DYNAMICS OF ATMOSPHERES AND OCEANS, 1988, 12 (01) : 47 - 70

← 1 2 3 4 5 →