AN ADAPTIVE FINITE-ELEMENT STRATEGY FOR THE 3-DIMENSIONAL TIME-DEPENDENT NAVIER-STOKES EQUATIONS

被引：37

作者：

BANSCH, E ^{[1
]}

机构：

[1] UNIV FREIBURG,INST ANGEW MATH,W-7800 FREIBURG,GERMANY

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 1991年 / 36卷 / 01期

关键词：

ADAPTIVITY; LOCAL MESH REFINEMENT; NAVIER-STOKES EQUATIONS;

D O I：

10.1016/0377-0427(91)90224-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

An adaptive strategy for three-dimensional time-dependent problems in the context of the FEM is presented. The basic tools are a mechanism for local refinement and coarsening of simplical meshes and an unexpensive error-estimator. The algorithm for local grid modification is based on bisecting tetrahedra. The method is applied to the Navier-Stokes equations.

引用

页码：3 / 28

页数：26

共 50 条

[41] A postprocessing mixed finite element method for the Navier-Stokes equations [J].

Liu, Qingfang ;

Hou, Yanren .

INTERNATIONAL JOURNAL OF COMPUTATIONAL FLUID DYNAMICS, 2009, 23 (06) :461-475

[42] A finite element variational multiscale method for the Navier-Stokes equations [J].

John, V ;

Kaya, S .

SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2005, 26 (05) :1485-1503

[43] Parallel iterative finite-element algorithms for the Navier-Stokes equations with nonlinear slip boundary conditions [J].

Zhou, Kangrui ;

Shang, Yueqiang .

INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, 2021, 22 (05) :509-530

[44] A two-level finite-element discretization of the stream function form of the Navier-Stokes equations [J].

Fairag, F .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1998, 36 (02) :117-127

[45] FINITE ELEMENT DISCRETIZATION OF THE STOKES AND NAVIER-STOKES EQUATIONS WITH BOUNDARY CONDITIONS ON THE PRESSURE [J].

Bernardi, Christine ;

Rebollo, Tomas Chacon ;

Yakoubi, Driss .

SIAM JOURNAL ON NUMERICAL ANALYSIS, 2015, 53 (03) :1256-1279

[46] Analysis of a streamline diffusion finite element method for the Stokes and Navier-Stokes equations [J].

Tobiska, L ;

Verfurth, R .

SIAM JOURNAL ON NUMERICAL ANALYSIS, 1996, 33 (01) :107-127

[47] CONVERGENCE OF TIME-AVERAGED STATISTICS OF FINITE ELEMENT APPROXIMATIONS OF THE NAVIER-STOKES EQUATIONS [J].

John, V. ;

Layton, W. ;

Manica, C. C. .

SIAM JOURNAL ON NUMERICAL ANALYSIS, 2007, 46 (01) :151-179

[48] Adaptive meshless local maximum-entropy finite element method for Navier-Stokes equations [J].

Young, D. L. ;

Shih, C-L ;

Yen, L. J. ;

Chu, C-R .

JOURNAL OF MECHANICS, 2024, 40 :475-490

[49] Numerical analysis of the SAV scheme for the EMAC formulation of the time-dependent Navier-Stokes equations [J].

Han, Wei-Wei ;

Jiang, Yao-Lin ;

Miao, Zhen .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2024, 438

[50] Enhancing the viscosity-splitting method to solve the time-dependent Navier-Stokes equations [J].

Yakoubi, D. .

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2023, 123

← 1 2 3 4 5 →