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.

Full text not available from this repository.

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

## 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, 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) |
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Subjects: | T Technology > TJ Mechanical engineering and machinery |

Divisions: | Mechanical Engineering |

ID Code: | 24592 |

Deposited By: | INVALID USER |

Deposited On: | 18 Apr 2012 05:36 |

Last Modified: | 12 Jun 2017 08:34 |

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