Incompressibility of the Leray-α model for wall-bounded flows | Zendy

Maarten van Reeuwijk | Zendy; Harm J. J. Jonker | Zendy; K. Hanjalić | Zendy

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Incompressibility of the Leray-α model for wall-bounded flows

Author(s) -

Maarten van Reeuwijk,

Harm J. J. Jonker,

K. Hanjalić

Publication year - 2006

Publication title -

physics of fluids

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.188

H-Index - 180

eISSN - 1089-7666

pISSN - 1070-6631

DOI - 10.1063/1.2166459

Subject(s) - physics , bounded function , vector field , boundary value problem , domain (mathematical analysis) , convection , divergence (linguistics) , mechanics , boundary (topology) , classical mechanics , mathematical analysis , field (mathematics) , pure mathematics , mathematics , linguistics , philosophy , quantum mechanics

This study shows that the Leray-? model does not explicitly enforce a divergence-free field for the filtered velocity. While this condition is automatically satisfied in the absence of boundaries, bounded domains require extra attention. It is shown, both analytically and through simulations of Rayleigh–Bénard convection, that incompressibility of the filtered velocity field cannot be guaranteed in the current formulation. Several suggestions are made to restore the incompressibility of the filtered velocity, and it is shown that free-slip boundary conditions for the filtered velocity do guarantee incompressibility for the domain under consideration.Multi-Scale PhysicsApplied Science

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