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

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 Bo...

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Main Authors: Nor Azwadi, C. S., Tanahashi, T.
Format: Article
Language:English
Published: Faculty of Mechanical Engineering, Universiti Teknologi Malaysia 2008
Subjects:
QA Mathematics
TJ Mechanical engineering and machinery
Online Access:http://eprints.utm.my/id/eprint/8977/1/CSNorAzwadi2008_Developmentof2-Dand3-DDouble-Population.pdf
http://eprints.utm.my/id/eprint/8977/
http://www.fs.utm.my/matematika/content/view/153/31/
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spelling my.utm.89772017-10-23T08:16:34Z http://eprints.utm.my/id/eprint/8977/ Development of 2-D and 3-D double-population thermal lattice boltzmann models Nor Azwadi, C. S. Tanahashi, T. QA Mathematics TJ Mechanical engineering and machinery 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. Faculty of Mechanical Engineering, Universiti Teknologi Malaysia 2008-06 Article PeerReviewed application/pdf en http://eprints.utm.my/id/eprint/8977/1/CSNorAzwadi2008_Developmentof2-Dand3-DDouble-Population.pdf Nor Azwadi, C. S. 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 http://www.fs.utm.my/matematika/content/view/153/31/
institution Universiti Teknologi Malaysia
building UTM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Teknologi Malaysia
content_source UTM Institutional Repository
url_provider http://eprints.utm.my/
language English
topic QA Mathematics
TJ Mechanical engineering and machinery
spellingShingle QA Mathematics
TJ Mechanical engineering and machinery
Nor Azwadi, C. S.
Tanahashi, T.
Development of 2-D and 3-D double-population thermal lattice boltzmann models
description 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.
format Article
author Nor Azwadi, C. S.
Tanahashi, T.
author_facet Nor Azwadi, C. S.
Tanahashi, T.
author_sort Nor Azwadi, C. S.
title Development of 2-D and 3-D double-population thermal lattice boltzmann models
title_short Development of 2-D and 3-D double-population thermal lattice boltzmann models
title_full Development of 2-D and 3-D double-population thermal lattice boltzmann models
title_fullStr Development of 2-D and 3-D double-population thermal lattice boltzmann models
title_full_unstemmed Development of 2-D and 3-D double-population thermal lattice boltzmann models
title_sort development of 2-d and 3-d double-population thermal lattice boltzmann models
publisher Faculty of Mechanical Engineering, Universiti Teknologi Malaysia
publishDate 2008
url http://eprints.utm.my/id/eprint/8977/1/CSNorAzwadi2008_Developmentof2-Dand3-DDouble-Population.pdf
http://eprints.utm.my/id/eprint/8977/
http://www.fs.utm.my/matematika/content/view/153/31/
_version_ 1643645091318857728
score 13.211869

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