Local Lubrication Model for Spherical Particles within an Incompressible Navier-Stokes Flow

Baptiste Lambert 1, 2 Lisl Weynans 1, 2 Michel Bergmann 1, 2
1 MEMPHIS - Modeling Enablers for Multi-PHysics and InteractionS
IMB - Institut de Mathématiques de Bordeaux, Inria Bordeaux - Sud-Ouest
Abstract : The lubrication effects are short-range hydrodynamic interactions essential to the suspension of the particles, and are usually underestimated by direct numerical simulations of particle laden flows. In this paper, we propose a lubrication model for a coupled volume penalization method and discrete element method solver which estimates the unresolved hydrodynamic forces and torques in an incompressible Navier-Stokes flow. Corrections are made locally on the surface of the interacting particles without any assumption on the global particle shape. The numerical model has been validated against experimental data and is shown to perform as well as existing numerical models that are limited to spherical particles.
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Baptiste Lambert, Lisl Weynans, Michel Bergmann. Local Lubrication Model for Spherical Particles within an Incompressible Navier-Stokes Flow. [Research Report] RR-9093, INRIA Bordeaux, équipe MEMPHIS; Université Bordeaux. 2018, pp.1-34. ⟨hal-01585066v3⟩

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