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|a Che Sidik, Nor Azwadi
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|a The development of thermal lattice Boltzmann models in incompressible limit
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|b Journal of Fundamental Sciences,
|c 2007-09.
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|z Get fulltext
|u http://eprints.utm.my/id/eprint/6607/1/The_development_of_thermal_lattice_Boltzmann_models_in.pdf
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|a In this paper, an incompressible two-dimensional (2-D) and three-dimensional (3-D) thermohydrodynamics for the lattice Boltzmann scheme are developed. The basic idea is to solve the velocity field and the temperature field using two different distribution functions. A derivation of the lattice Boltzmann scheme from the continuous Boltzmann equation for 2-D is discussed in detail. By using the same procedure as in the derivation of the discretised density distribution function, we found that new lattice of four-velocity (2-D) and eight-velocity(3-D) models for internal energy density distribution function can be developed where the viscous and compressive heating effects are negligible. These models are validated by the numerical simulation of the 2-D porous plate Couette flow problem where the analytical solution exists and the natural convection flows in a cubic cavity.
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|a T Technology (General)
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