Premium
Convergence analysis of a staggered pressure correction scheme for viscous incompressible flows
Author(s) -
Zhang Yongdong,
Kwok YueKuen
Publication year - 1997
Publication title -
numerical methods for partial differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.901
H-Index - 61
eISSN - 1098-2426
pISSN - 0749-159X
DOI - 10.1002/(sici)1098-2426(199709)13:5<459::aid-num2>3.0.co;2-i
Subject(s) - mathematics , truncation error , bounded function , convergence (economics) , compressibility , domain (mathematical analysis) , truncation (statistics) , partial differential equation , scheme (mathematics) , mathematical analysis , error analysis , rate of convergence , mechanics , physics , computer science , computer network , channel (broadcasting) , statistics , economics , economic growth
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. © 1997 John Wiley & Sons, Inc. Numer Methods Partial Differential Eq 13: 459–482, 1997