A note on equilibrium boundary conditions in lattice Boltzmann fluid dynamic simulations |
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Authors: | A A Mohamad and S Succi |
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Institution: | (1) Department of Mechanical and Manufacturing Engineering, Schulich School of Engineering, The University of Calgary, Calgary, AB, Canada;(2) CNR, IAC, Viale del Policlinico 137, T-00161 Roma, Italy |
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Abstract: | It is shown that Lattice Boltzmann (LB) simulations using simple equilibrium boundary conditions at solid walls, provide quantitatively
accurate results for backward-facing step flows at moderate Reynolds numbers. The basic reason for such favorable behavior
is that well-resolved LB simulations operate in the so-called weak non-equilibrium regime, in which shear effects at the scale
of a single lattice spacing are weak, meaning by this that the cell-shear time scale is much longer than the molecular time
scales, so that the LB collisional relaxation takes place in a quasi-homogeneous velocity field. Due to their simplicity,
it is suggested that equilibrium boundary conditions may represent a viable option for the LB simulation of complex flows
with solid boundaries at moderate Reynolds numbers. |
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