Convergence Analysis of a Staggered Pressure Correction Scheme for Viscous Incompressible Flows

Yongdong Zhang; Yue Kuen Kwok

doi:10.1002/(SICI)1098-2426(199709)13:5<459::AID-NUM2>3.0.CO;2-I

Convergence Analysis of a Staggered Pressure Correction Scheme for Viscous Incompressible Flows

Yongdong Zhang^*, Yue Kuen Kwok

^*Corresponding author for this work

Department of Mathematics

Research output: Contribution to journal › Journal Article › peer-review

Abstract

This article performs the convergence analysis of a staggered pressure correction scheme for solving unsteady viscous incompressible flows in a bounded domain using the energy method. Error estimates for the numerical velocity field of the difference scheme are established. The analysis adopts the method of bounded truncation functions as advocated by Arnold et al.

Original language	English
Pages (from-to)	459-482
Number of pages	24
Journal	Numerical Methods for Partial Differential Equations
Volume	13
Issue number	5
DOIs	https://doi.org/10.1002/(SICI)1098-2426(199709)13:5<459::AID-NUM2>3.0.CO;2-I
Publication status	Published - Sept 1997

Keywords

Convergence analysis
Pressure correction scheme
Viscous incompressible flows

Access to Document

10.1002/(SICI)1098-2426(199709)13:5<459::AID-NUM2>3.0.CO;2-I

Cite this

@article{2e7eab26db454368b06daa9a2365a1d7,

title = "Convergence Analysis of a Staggered Pressure Correction Scheme for Viscous Incompressible Flows",

abstract = "This article performs the convergence analysis of a staggered pressure correction scheme for solving unsteady viscous incompressible flows in a bounded domain using the energy method. Error estimates for the numerical velocity field of the difference scheme are established. The analysis adopts the method of bounded truncation functions as advocated by Arnold et al.",

keywords = "Convergence analysis, Pressure correction scheme, Viscous incompressible flows",

author = "Yongdong Zhang and Kwok, \{Yue Kuen\}",

year = "1997",

month = sep,

doi = "10.1002/(SICI)1098-2426(199709)13:5<459::AID-NUM2>3.0.CO;2-I",

language = "English",

volume = "13",

pages = "459--482",

journal = "Numerical Methods for Partial Differential Equations",

issn = "0749-159X",

publisher = "John Wiley \& Sons Inc.",

number = "5",

}

TY - JOUR

T1 - Convergence Analysis of a Staggered Pressure Correction Scheme for Viscous Incompressible Flows

AU - Zhang, Yongdong

AU - Kwok, Yue Kuen

PY - 1997/9

Y1 - 1997/9

N2 - This article performs the convergence analysis of a staggered pressure correction scheme for solving unsteady viscous incompressible flows in a bounded domain using the energy method. Error estimates for the numerical velocity field of the difference scheme are established. The analysis adopts the method of bounded truncation functions as advocated by Arnold et al.

AB - This article performs the convergence analysis of a staggered pressure correction scheme for solving unsteady viscous incompressible flows in a bounded domain using the energy method. Error estimates for the numerical velocity field of the difference scheme are established. The analysis adopts the method of bounded truncation functions as advocated by Arnold et al.

KW - Convergence analysis

KW - Pressure correction scheme

KW - Viscous incompressible flows

UR - https://www.scopus.com/pages/publications/1842627739

U2 - 10.1002/(SICI)1098-2426(199709)13:5<459::AID-NUM2>3.0.CO;2-I

DO - 10.1002/(SICI)1098-2426(199709)13:5<459::AID-NUM2>3.0.CO;2-I

M3 - Journal Article

SN - 0749-159X

VL - 13

SP - 459

EP - 482

JO - Numerical Methods for Partial Differential Equations

JF - Numerical Methods for Partial Differential Equations

IS - 5

ER -

Convergence Analysis of a Staggered Pressure Correction Scheme for Viscous Incompressible Flows

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this