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

C. S., Nor Azwadi and Tanahashi, T. (2008) Development of 2-D and 3-D double-population thermal lattice boltzmann models. Matematika, 24 (1). pp. 53-66. ISSN 0127-8274

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Official URL: http://www.fs.utm.my/matematika/content/view/153/3...

Abstract

In this paper, an incompressible two-dimensional (2-D) and three- dimensional (3-D) thermohydrodynamics for the lattice Boltzmann scheme are de- veloped. The basic idea is to solve the velocity ¯eld and the temperature ¯eld using two di®erent 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 e®ects are negligible. These models are validated by the numerical simulation of the 2-D porous plate Couette °ow problem where the analytical solution exists and the natural convection °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: Ms Zalinda Shuratman
Deposited On:27 Jul 2009 03:32
Last Modified:30 Mar 2012 01:13

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