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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Faculty of Mechanical Engineering, Universiti Teknologi Malaysia
2008
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| Online Access: | http://eprints.utm.my/8977/1/CSNorAzwadi2008_Developmentof2-Dand3-DDouble-Population.pdf http://eprints.utm.my/8977/ http://www.fs.utm.my/matematika/content/view/153/31/ |
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| author | Nor Azwadi, C. S. Tanahashi, T. |
| author_facet | Nor Azwadi, C. S. Tanahashi, T. |
| author_sort | Nor Azwadi, C. S. |
| building | UTM Library |
| collection | Institutional Repository |
| content_provider | Universiti Teknologi Malaysia |
| content_source | UTM Institutional Repository |
| continent | Asia |
| country | Malaysia |
| 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 |
| id | my.utm.eprints-8977 |
| institution | Universiti Teknologi Malaysia |
| language | en |
| publishDate | 2008 |
| publisher | Faculty of Mechanical Engineering, Universiti Teknologi Malaysia |
| record_format | eprints |
| spelling | my.utm.eprints-89772017-10-23T08:16:34Z http://eprints.utm.my/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/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/ |
| 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 |
| title | 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_short | 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 |
| topic | QA Mathematics TJ Mechanical engineering and machinery |
| url | http://eprints.utm.my/8977/1/CSNorAzwadi2008_Developmentof2-Dand3-DDouble-Population.pdf http://eprints.utm.my/8977/ http://www.fs.utm.my/matematika/content/view/153/31/ |
| url_provider | http://eprints.utm.my/ |