Moment-based boundary conditions for lattice Boltzmann simulations of natural convection in cavities
by Rebecca Allen; Tim Reis
Progress in Computational Fluid Dynamics, An International Journal (PCFD), Vol. 16, No. 4, 2016

Abstract: We study a multiple relaxation time lattice Boltzmann model for natural convection with moment-based boundary conditions. The unknown primary variables of the algorithm at a boundary are found by imposing conditions directly upon hydrodynamic moments, which are then translated into conditions for the discrete velocity distribution functions. The method is formulated so that it is consistent with the second order implementation of the discrete velocity Boltzmann equations for fluid flow and temperature. Natural convection in square cavities is studied for Rayleigh numbers ranging from 10³ to 10⁸. An excellent agreement with benchmark data is observed and the flow fields are shown to converge with second order accuracy.

Online publication date: Tue, 28-Jun-2016

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