Journal
SIAM JOURNAL ON NUMERICAL ANALYSIS
Volume 49, Issue 3, Pages 917-944Publisher
SIAM PUBLICATIONS
DOI: 10.1137/090768758
Keywords
variable density flows; Navier-Stokes; fractional time stepping; finite elements
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Funding
- King Abdullah University of Science and Technology (KAUST) [KUS-C1-016-04]
- National Science Foundation [NSF-DMS (0713829)]
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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.
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