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

共 50 条

[21] A posteriori error analysis and adaptivity for a VEM discretization of the Navier-Stokes equations [J].

Canuto, Claudio ;

Rosso, Davide .

ADVANCES IN COMPUTATIONAL MATHEMATICS, 2023, 49 (06)

[22] A posteriori error analysis for Navier-Stokes equations coupled with Darcy problem [J].

Hadji, M. L. ;

Assala, A. ;

Nouri, F. Z. .

CALCOLO, 2015, 52 (04) :559-576

[23] Superconvergence analysis for the Navier-Stokes equations [J].

Wang, XS ;

Ye, X .

APPLIED NUMERICAL MATHEMATICS, 2002, 41 (04) :515-527

[24] Error estimate for a two-level scheme of newton type for the Navier-Stokes equations [J].

Hou, YR ;

Li, KT .

CURRENT TRENDS IN SCIENTIFIC COMPUTING, 2003, 329 :183-190

[25] A hybrid implicit scheme for solving Navier-Stokes equations [J].

Wang, Gang ;

Mian, Haris Hameed ;

Liu, Yi ;

Ye, Zhengyin .

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, 2015, 78 (06) :319-334

[26] ERROR ESTIMATES FOR THE SECOND ORDER SEMI-DISCRETE STABILIZED GAUGE-UZAWA METHOD FOR THE NAVIER-STOKES EQUATIONS [J].

Pyo, Jae-Hong .

INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING, 2013, 10 (01) :24-41

[27] A High Order Compact Scheme for the Pure-Streamfunction Formulation of the Navier-Stokes Equations [J].

Ben-Artzi, M. ;

Croisille, J. -P. ;

Fishelov, D. .

JOURNAL OF SCIENTIFIC COMPUTING, 2010, 42 (02) :216-250

[28] A High Order Compact Scheme for the Pure-Streamfunction Formulation of the Navier-Stokes Equations [J].

M. Ben-Artzi ;

J.-P. Croisille ;

D. Fishelov .

Journal of Scientific Computing, 2010, 42 :216-250

[29] Fourth-order finite difference scheme for the incompressible Navier-Stokes equations in a disk [J].

Lai, MC .

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, 2003, 42 (08) :909-922

[30] A new fourth-order compact scheme for the Navier-Stokes equations in irregular domains [J].

Fishelov, D. .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2017, 74 (01) :6-25

← 1 2 3 4 5 →