The stabilized extrapolated trapezoidal finite-element method for the Navier-Stokes equations

被引：64

作者：

Labovsky, Alexandr ^{[2
]}

Layton, William J. ^{[2
]}

Manica, Carolina C. ^{[3
]}

Neda, Monika ^{[4
]}

Rebholz, Leo G. ^{[1
]}

机构：

[1] Clemson Univ, Dept Math Sci, Clemson, SC 29631 USA

[2] Univ Pittsburgh, Dept Math, Pittsburgh, PA 15260 USA

[3] Univ Fed Rio Grande do Sul, Dept Math, Porto Alegre, RS, Brazil

[4] Univ Nevada, Dept Math, Las Vegas, NV USA

来源：

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 2009年 / 198卷 / 9-12期

基金：

美国国家科学基金会;

关键词：

Navier-Stokes equations; Finite-element discretization; Artificial viscosity stabilization; 2-LEVEL METHOD; APPROXIMATION; REGULARITY; HELICITY; DRAG;

D O I：

10.1016/j.cma.2008.11.004

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We consider a fully discrete stabilized finite-element method for the 2 Navier-Stokes equations which is unconditionally stable and has second order temporal accuracy of O(k(2) + hk+ spatial error). The method involves a simple artificial viscosity stabilization of the linear system for the approximation of the new time level connected to anti-diffusion of its effects at the old time level, lowering the cell Reynolds number of the Oseen problem to O(1). The method requires only the solution of one linear system (arising from an Oseen problem) per time step. The effectiveness of the method is illustrated in several numerical experiments. (C) 2008 Elsevier B.V. All rights reserved

引用

页码：958 / 974

页数：17

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