Error Analysis of a Fractional Time-Stepping Technique for Incompressible Flows with Variable Density

Handle URI:
http://hdl.handle.net/10754/598211
Title:
Error Analysis of a Fractional Time-Stepping Technique for Incompressible Flows with Variable Density
Authors:
Guermond, J.-L.; Salgado, Abner J.
Abstract:
In this paper we analyze the convergence properties of a new fractional time-stepping technique for the solution of the variable density incompressible Navier-Stokes equations. The main feature of this method is that, contrary to other existing algorithms, the pressure is determined by just solving one Poisson equation per time step. First-order error estimates are proved, and stability of a formally second-order variant of the method is established. © 2011 Society for Industrial and Applied Mathematics.
Citation:
Guermond J-L, Salgado AJ (2011) Error Analysis of a Fractional Time-Stepping Technique for Incompressible Flows with Variable Density. SIAM J Numer Anal 49: 917–944. Available: http://dx.doi.org/10.1137/090768758.
Publisher:
Society for Industrial & Applied Mathematics (SIAM)
Journal:
SIAM Journal on Numerical Analysis
KAUST Grant Number:
KUS-C1-016-04
Issue Date:
Jan-2011
DOI:
10.1137/090768758
Type:
Article
ISSN:
0036-1429; 1095-7170
Sponsors:
Received by the editors August 21, 2009; accepted for publication (in revised form) February 28, 2011; published electronically May 10, 2011. This publication is based on work supported by King Abdullah University of Science and Technology (KAUST) award KUS-C1-016-04.Department of Mathematics, Texas A&M University, College Station, TX 77843-3368 (guermond@math.tamu.edu). This author's work was partially supported by National Science Foundation grant NSF-DMS (0713829).
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Full metadata record

DC FieldValue Language
dc.contributor.authorGuermond, J.-L.en
dc.contributor.authorSalgado, Abner J.en
dc.date.accessioned2016-02-25T13:14:47Zen
dc.date.available2016-02-25T13:14:47Zen
dc.date.issued2011-01en
dc.identifier.citationGuermond J-L, Salgado AJ (2011) Error Analysis of a Fractional Time-Stepping Technique for Incompressible Flows with Variable Density. SIAM J Numer Anal 49: 917–944. Available: http://dx.doi.org/10.1137/090768758.en
dc.identifier.issn0036-1429en
dc.identifier.issn1095-7170en
dc.identifier.doi10.1137/090768758en
dc.identifier.urihttp://hdl.handle.net/10754/598211en
dc.description.abstractIn this paper we analyze the convergence properties of a new fractional time-stepping technique for the solution of the variable density incompressible Navier-Stokes equations. The main feature of this method is that, contrary to other existing algorithms, the pressure is determined by just solving one Poisson equation per time step. First-order error estimates are proved, and stability of a formally second-order variant of the method is established. © 2011 Society for Industrial and Applied Mathematics.en
dc.description.sponsorshipReceived by the editors August 21, 2009; accepted for publication (in revised form) February 28, 2011; published electronically May 10, 2011. This publication is based on work supported by King Abdullah University of Science and Technology (KAUST) award KUS-C1-016-04.Department of Mathematics, Texas A&M University, College Station, TX 77843-3368 (guermond@math.tamu.edu). This author's work was partially supported by National Science Foundation grant NSF-DMS (0713829).en
dc.publisherSociety for Industrial & Applied Mathematics (SIAM)en
dc.subjectFinite elementsen
dc.subjectFractional time steppingen
dc.subjectNavier-Stokesen
dc.subjectVariable density flowsen
dc.titleError Analysis of a Fractional Time-Stepping Technique for Incompressible Flows with Variable Densityen
dc.typeArticleen
dc.identifier.journalSIAM Journal on Numerical Analysisen
dc.contributor.institutionTexas A and M University, College Station, United Statesen
dc.contributor.institutionUniversity of Maryland, College Park, United Statesen
kaust.grant.numberKUS-C1-016-04en
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