Convergence analysis for a higher order scheme for the time-dependent Navier-Stokes equations

被引：3

作者：

Wang, Kun ^{[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] Chongqing Univ, Coll Math & Stat, Chongqing 401331, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2012年 / 218卷 / 17期

关键词：

Navier-Stokes equations; Third-order scheme; Temporal discrete scheme; Convergence condition; FINITE-ELEMENT; ERROR ANALYSIS; APPROXIMATION; ACCURATE;

D O I：

10.1016/j.amc.2012.01.049

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we discuss a third-order fully discrete scheme for the time-dependent Navier-Stokes equations. We prove that the third-order temporal discrete scheme proposed by Baker et al. in [1] is convergent under a weaker condition. Some numerical experiments are shown to confirm the efficiency of the higher order scheme. (C) 2012 Elsevier Inc. All rights reserved.

引用

页码：8269 / 8278

页数：10

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