A stabilized finite volume method for the stationary Navier-Stokes equations

被引：14
|
作者：
Sheng, Ying [1 ]
Zhang, Tie [1 ]
Jiang, Zhong-Zhong [2 ,3 ]
机构：
[1] Northeastern Univ, Coll Sci, Dept Math, Shenyang 110004, Peoples R China
[2] Northeastern Univ, Sch Business Adm, Dept Informat Management & Decis Sci, Shenyang 110169, Peoples R China
[3] Northeastern Univ, Sch Business Adm, Inst Behav & Serv Operat Management, Shenyang 110169, Peoples R China
来源：
CHAOS SOLITONS & FRACTALS | 2016年 / 89卷
基金：
中国国家自然科学基金;
关键词：
Finite volume method; Navier-Stokes problem; Stabilized method; P-1-P-0 element pair; Inf-sup condition; ELEMENT-METHOD; SUPERCONVERGENCE; APPROXIMATION; FORMULATION; PROJECTION;
D O I：
10.1016/j.chaos.2016.01.002
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In the present paper, we propose a stabilized finite volume element method for the Navier-Stokes equations using the lowest order P-1-P-0 element pair. The stabilized method is designed by adding a jump term of the discrete pressure to the continuity approximation equation. A discrete inf-sup condition is established for the stabilized finite volume element scheme which assures the stability of the discrete solutions. The optimal error estimates are derived in the H-1-norm for velocity and the L-2-norm for pressure, respectively. Moreover, the optimal L-2- error estimate is also given for velocity approximation. (C) 2016 Elsevier Ltd. All rights reserved.
引用
收藏
页码：363 / 372
页数：10
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