Pressure Poisson splitting scheme for Navier–Stokes Equations with open boundaries

Aziz Takhirov and Driss Yakoubi

Mathematics and Computers in Simulation (MATCOM), 2026, vol. 240, issue C, 968-981

Abstract: This paper presents a novel time-stepping algorithm for solving incompressible flows in domains with open boundaries. The scheme is based on the pressure Poisson reformulation of the system. A new boundary condition is proposed for the pressure variable on the open boundary. Unconditional stability is shown for a stabilized scheme. Numerical tests indicate excellent stability and accuracy of the proposed algorithm.

Keywords: Navier–Stokes equations; Pressure Poisson; Projection; Open boundary condition; Consistent-splitting (search for similar items in EconPapers)
Date: 2026
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:240:y:2026:i:c:p:968-981

DOI: 10.1016/j.matcom.2025.08.007

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