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

J.-L. Guermond, Abner J. Salgado

Research output: Contribution to journalArticlepeer-review

53 Scopus citations

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.
Original languageEnglish (US)
Pages (from-to)917-944
Number of pages28
JournalSIAM Journal on Numerical Analysis
Volume49
Issue number3
DOIs
StatePublished - Jan 2011
Externally publishedYes

Bibliographical note

KAUST Repository Item: Exported on 2020-10-01
Acknowledged KAUST grant number(s): KUS-C1-016-04
Acknowledgements: 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).
This publication acknowledges KAUST support, but has no KAUST affiliated authors.

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