A finite element variational multiscale method for incompressible flow

被引：3

作者：

Jiang, Yu ^{[1
]}

Mei, Liquan ^{[2
]}

Wei, Huiming ^{[3
]}

机构：

[1] Zhengzhou Univ Light Ind, Coll Math & Informat Sci, Zhengzhou 450002, Peoples R China

[2] Xi An Jiao Tong Univ, Ctr Computat Geosci, Xian 710049, Peoples R China

[3] China Nucl Power Simulat Technol Co Ltd, Shenzhen 518115, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2015年 / 266卷

关键词：

Finite element; Variational multiscale method(VMS); Incompressible flow; Navier-Stokes equation; NAVIER-STOKES EQUATIONS; ADVECTION-DIFFUSION; GALERKIN METHOD; ERROR; CONSERVATION;

D O I：

10.1016/j.amc.2015.05.055

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we present a numerical scheme, prove stability, existence of solutions, uniqueness and convergence of the incompressible Navier-Stokes equations. It has the advantage of being defined from strictly algebraic considerations. A significant feature of the present method is that the structure of the stabilization term based on the multiscale enrichment and derived from the Navier-Stokes problem itself. Ample numerical experiments are carried out to confirm the theory and illustrate the effectiveness of the scheme on incompressible fluid. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：374 / 384

页数：11

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