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Numerical Solution to Thermal Fluid Flow Through Porous Media Using Lattice Boltzmann Method
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Abstract
In this paper, the lattice Boltzmann method, a mesoscale numerical tool based on particle distribution function is used to simulate thermal fluid flow in porous media. The key point is to combine the simplest four and nine lattice velocity model to represent the temperature and density distribution functions respectively. A wide range of Rayleigh numbers and material's porosity was applied to study their effects on the thermal fluid flow in the enclosure. The numerical experiments demonstrated excellent agreements when the computed results were compared with those predicted by the finite element solution to the Brinkmann-Forccheimer equation and the conventional lattice Boltzmann scheme. This indicates the applicability of the present approach in the realistic simulation of thermal fluid flow in porous media.
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