Error Analysis of a Fractional Time-Stepping Technique for Incompressible Flows with Variable Density
KAUST Grant NumberKUS-C1-016-04
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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.
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.
SponsorsReceived 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 (email@example.com). This author's work was partially supported by National Science Foundation grant NSF-DMS (0713829).