A splitting method for incompressible flows with variable density based on a pressure Poisson equation

Authors:
J. -L. Guermond;Abner Salgado
Affiliations:
Department of Mathematics, Texas A&M University, 3368 TAMU, College Station, TX 77843 3368, USA;Department of Mathematics, Texas A&M University, 3368 TAMU, College Station, TX 77843 3368, USA
Venue:
Journal of Computational Physics
Year:
2009

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Abstract

A new fractional time-stepping technique for solving incompressible flows with variable density is proposed. The main feature of this method is that, as opposed to other known algorithms, the pressure is determined by just solving one Poisson equation per time step, which greatly reduces the computational cost. The stability of the method is proved and the performance of the method is numerically illustrated.