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Incompressible flow calculations with a consistent physical interpolation finite volume approach. (English) Zbl 0816.76066
A new physically consistent method is presented for the reconstruction of velocity fluxes which arise from the mass and momentum balance discrete equations. This closure method for fluxes allows the use of a cell- centered grid in which velocity and pressure unknowns share the same location, while circumventing the occurrence of spurious pressure modes. The method is validated on several benchmark problems which include lid driven two-dimensional cavity, circular cylinder problem at Re = 40, parallelopipedic lid driven cavity, and vortex shedding past a square cylinder at Re = 22000.

MSC:
76M25 Other numerical methods (fluid mechanics) (MSC2010)
76D05 Navier-Stokes equations for incompressible viscous fluids
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