Nor Azwadi, C. S. and Tanahashi, T. (2008) Development of 2D and 3D doublepopulation thermal lattice boltzmann models. Matematika, 24 (1). pp. 5366. ISSN 01278274

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Abstract
In this paper, an incompressible twodimensional (2D) and three dimensional (3D) thermohydrodynamics for the lattice Boltzmann scheme are de veloped. The basic idea is to solve the velocity Â¯eld and the temperature Â¯eld using two diÂ®erent distribution functions. A derivation of the lattice Boltzmann scheme from the continuous Boltzmann equation for 2D 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 fourvelocity (2D) and eightvelocity (3D) models for internal energy density distribution function can be developed where the viscous and compressive heating eÂ®ects are negligible. These models are validated by the numerical simulation of the 2D porous plate Couette Â°ow problem where the analytical solution exists and the natural convection Â°ows in a cubic cavity.
Item Type:  Article 

Uncontrolled Keywords:  double distribution function, lattice boltzmann, microscopic velocity, natural convection 
Subjects:  Q Science > QA Mathematics T Technology > TJ Mechanical engineering and machinery 
Divisions:  Mechanical Engineering 
ID Code:  8977 
Deposited By:  Zalinda Shuratman 
Deposited On:  27 Jul 2009 03:32 
Last Modified:  23 Oct 2017 08:16 
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