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The development of thermal lattice Boltzmann models in incompressible limit

Che Sidik, Nor Azwadi (2007) The development of thermal lattice Boltzmann models in incompressible limit. The development of thermal lattice Boltzmann models in incompressible limit, 3 (2). pp. 193-202.

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Abstract

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.

Item Type:Article
Subjects:T Technology > T Technology (General)
Divisions:Mechanical Engineering
ID Code:6607
Deposited By: Mohd Sharizan Abu Bakar
Deposited On:03 Nov 2008 06:40
Last Modified:01 Jun 2010 15:44

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