Some iterative finite element methods for steady Navier-Stokes equations with different viscosities

被引：50
|
作者：
Xu, Hui [1 ,2 ]
He, Yinnian [1 ]
机构：
[1] Xi An Jiao Tong Univ, Sch Math & Stat, Ctr Computat Geosci, Xian 710049, Peoples R China
[2] Univ Paris 06, UMR CNRS 7190, Inst Jean le Rond dAlembert, F-75252 Paris 05, France
来源：
JOURNAL OF COMPUTATIONAL PHYSICS | 2013年 / 232卷 / 01期
关键词：
Navier-Stokes equations; Finite element method; Stokes correction; Oseen correction; Newton correction; Two-level method; SPECTRAL GALERKIN METHOD; SPATIAL DISCRETIZATION; 2-LEVEL METHOD; TIME DISCRETIZATION; APPROXIMATION; SCHEME;
D O I：
10.1016/j.jcp.2012.07.020
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
Two-level iterative finite element methods are designed to solve numerically the steady 2D/3D Navier-Stokes equations for a large viscosity m such that a strong uniqueness condition holds. Moreover, the one-level Oseen iterative finite element method based on a fine mesh with small mesh size h is designed to solve numerically the steady 2D/3D Navier-Stokes equations for small viscosity m such that a weak uniqueness condition holds. Meanwhile, the numerical investigations are provided to show that the proposed methods are efficient for solving the 2D/3D steady Navier-Stokes equations for different viscosities. (C) 2012 Elsevier Inc. All rights reserved.
引用
收藏
页码：136 / 152
页数：17
相关论文
共 50 条
  • [1] Stability and convergence of iterative methods related to viscosities for the 2D/3D steady Navier Stokes equations
    He, Yinnian
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2015, 423 (02) : 1129 - 1149
  • [2] Finite Element Iterative Methods for the 3D Steady Navier-Stokes Equations
    He, Yinnian
    ENTROPY, 2021, 23 (12)
  • [3] Iterative Methods in Penalty Finite Element Discretizations for the Steady Navier-Stokes Equations
    Huang, Pengzhan
    NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2014, 30 (01) : 74 - 94
  • [4] Convergence of three iterative methods based on the finite element discretization for the stationary Navier-Stokes equations
    He, Yinnian
    Li, Jian
    COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2009, 198 (15-16) : 1351 - 1359
  • [5] Newton Iterative Parallel Finite Element Algorithm for the Steady Navier-Stokes Equations
    Yinnian He
    Liquan Mei
    Yueqiang Shang
    Juan Cui
    Journal of Scientific Computing, 2010, 44 : 92 - 106
  • [6] Newton Iterative Parallel Finite Element Algorithm for the Steady Navier-Stokes Equations
    He, Yinnian
    Mei, Liquan
    Shang, Yueqiang
    Cui, Juan
    JOURNAL OF SCIENTIFIC COMPUTING, 2010, 44 (01) : 92 - 106
  • [7] Iterative penalty methods for the steady Navier-Stokes equations
    Qiu, Hailong
    Mei, Liquan
    Zhang, Yamiao
    APPLIED MATHEMATICS AND COMPUTATION, 2014, 237 : 110 - 119
  • [8] Analysis of three stabilized finite volume iterative methods for the steady Navier-Stokes equations
    Zhang, Tong
    Zhong, He
    INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2014, 91 (06) : 1329 - 1350
  • [9] Some Uzawa methods for steady incompressible Navier-Stokes equations discretized by mixed element methods
    Chen, Puyin
    Huang, Jianguo
    Shenga, Huashan
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2015, 273 : 313 - 325
  • [10] DUAL-MIXED FINITE ELEMENT METHODS FOR THE NAVIER-STOKES EQUATIONS
    Howell, Jason S.
    Walkington, Noel J.
    ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE, 2013, 47 (03): : 789 - 805
12345