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
- Published Version
Official URL: http://www.fs.utm.my/matematika/content/view/153/3...
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 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 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 eÂ®ects are negligible. These models are validated by the numerical simulation of the 2-D porous plate Couette Â°ow problem where the analytical solution exists and the natural convection Â°ows in a cubic cavity.
|Uncontrolled Keywords:||double distribution function, lattice boltzmann, microscopic velocity, natural convection|
|Subjects:||Q Science > QA Mathematics|
T Technology > TJ Mechanical engineering and machinery
|Deposited By:||Ms Zalinda Shuratman|
|Deposited On:||27 Jul 2009 03:32|
|Last Modified:||30 Mar 2012 01:13|
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