A unified thermal Lattice BGK model for Boussinesq equations
by Baochang Shi, Nanzhong He, Nengchao Wang
Progress in Computational Fluid Dynamics, An International Journal (PCFD), Vol. 5, No. 1/2, 2005

Abstract: A unified thermal Lattice Bhatnagar-Gross-Krook (LBGK) model for the Boussinesq incompressible fluids is introduced. In the model, the velocity and temperature fields are solved by two independent LBGK equations which are combined into a coupled one for the whole system. Numerical simulations of three-dimensional natural convection flow in rectangular enclosures with differentially heated vertical walls are performed at Rayleigh numbers 1.5 × 10³ – 7.5 × 10⁴ and Prandtl numbers 0.015 and 0.025. The numerical results are compared with those of a previous study.

Online publication date: Wed, 08-Dec-2004

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