Universiti Teknologi Malaysia Institutional Repository

Development of 2-D and 3-D double-population thermal lattice boltzmann models

Che Sidek, Nor Azwadi and Tanahashi, T. (2007) Development of 2-D and 3-D double-population thermal lattice boltzmann models. In: 2nd International Conference on Mathematical Sciences 2007 (ICoMS 2007), 2007, Johor Bahru.

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Official URL: http://dx.doi.org/10.11113/matematika.v24.n.222


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, it is 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:Conference or Workshop Item (Paper)
Subjects:T Technology > TJ Mechanical engineering and machinery
Divisions:Mechanical Engineering
ID Code:24592
Deposited On:18 Apr 2012 05:36
Last Modified:12 Jun 2017 08:34

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