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A splitting method for incompressible flows with variable density based on a pressure Poisson equation. (English) Zbl 1159.76028
Summary: We propose a new fractional time-stepping technique for solving incompressible flows with variable density. 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.

76M20 Finite difference methods applied to problems in fluid mechanics
76D05 Navier-Stokes equations for incompressible viscous fluids
Full Text: DOI
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