Abstract

FLOREZ-SERRANO, Elkin  and  LAGUADO RAMIREZ, Raquel. Two-Dimensional Free Convection Flow Simulations on a Square Cavity Through the Use of Lattice Boltzmann Equation Method. Ing. Univ. [online]. 2011, vol.15, n.2, pp.469-478. ISSN 0123-2126.

Convection is a key phenomenon found in different atmospheric and industrial applications. This work presents the numerical simulation of flow in a cavity which has been heated on one wall, in laminar regime, with Rayleigh numbers (Ra) of 103 ≤ Ra ≤ 106 and a Prandtl number of Pr = 0.7, through the lattice Boltzmann equation method -LBE. This technique has proven to be very efficient and powerful in computational fluid dynamics -CFD- (Y. W. Know, 2006). The flow velocity is calculated based on the use of density distribution function in the model D2Q9 -, with two dimensions and nine velocities. Temperature readings are obtained through the model D2T5 -, with two dimensions and five temperatures. The new thermal model used showed to be stable, and the results are highly accurate compared to the experimental and numerical results obtained through other CFD methods.

Keywords : Numerical simulation; Lattice Boltzmann equation; natural convection.

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