Error analysis for a second order scheme for the Navier-Stokes equations

被引：35

作者：

Tone, F ^{[1
]}

机构：

[1] Indiana Univ, Inst Appl Math & Sci Comp, Bloomington, IN 47405 USA

来源：

APPLIED NUMERICAL MATHEMATICS | 2004年 / 50卷 / 01期

基金：

美国国家科学基金会;

关键词：

Navier-Stokes equations; error analysis; Adams-Bashforth scheme; Crank-Nicholson scheme;

D O I：

10.1016/j.apnum.2003.12.003

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article we perform the error analysis for a space and time discretization scheme of the Navier-Stokes equations of viscous incompressible fluids. After presenting the appropriate framework for the spacial discretization of the equations, we consider a second order semi-implicit scheme for the time discretization, namely Crank-Nicholson for the linear term and Adams-Bashforth for the inertial term, and we study the error. (C) 2004 IMACS. Published by Elsevier B.V. All rights reserved.

引用

页码：93 / 119

页数：27

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