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
收藏
页码：93 / 119
页数：27
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