Simplified thermal lattice boltzmann in incompressible limit
In this paper, an incompressible thermohydrodynamics for the lattice Boltzmann scheme is 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...
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| Format: | Article |
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World Scientific Publishing
2006
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| Online Access: | http://eprints.utm.my/6631/ |
| _version_ | 1848891310230994944 |
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| author | Che Sidik, Nor Azwadi Takahiko, Tanahashi |
| author_facet | Che Sidik, Nor Azwadi Takahiko, Tanahashi |
| author_sort | Che Sidik, Nor Azwadi |
| building | UTeM Institutional Repository |
| collection | Online Access |
| description | In this paper, an incompressible thermohydrodynamics for the lattice Boltzmann scheme is 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 is discussed in detail. By using the same procedure as in the derivation of the discretised density distribution function, we found that a new lattice of four-velocity model for internal energy density distribution function can be developed where the viscous and compressive heating effects are negligible. This model is validated by the numerical simulation of the porous plate couette flow problem where the analytical solution exists and the natural convection flows in a square cavity.
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| first_indexed | 2025-11-15T20:55:56Z |
| format | Article |
| id | utm-6631 |
| institution | Universiti Teknologi Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-15T20:55:56Z |
| publishDate | 2006 |
| publisher | World Scientific Publishing |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | utm-66312010-10-01T04:41:29Z http://eprints.utm.my/6631/ Simplified thermal lattice boltzmann in incompressible limit Che Sidik, Nor Azwadi Takahiko, Tanahashi T Technology (General) In this paper, an incompressible thermohydrodynamics for the lattice Boltzmann scheme is 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 is discussed in detail. By using the same procedure as in the derivation of the discretised density distribution function, we found that a new lattice of four-velocity model for internal energy density distribution function can be developed where the viscous and compressive heating effects are negligible. This model is validated by the numerical simulation of the porous plate couette flow problem where the analytical solution exists and the natural convection flows in a square cavity. World Scientific Publishing 2006-07-10 Article PeerReviewed Che Sidik, Nor Azwadi and Takahiko, Tanahashi (2006) Simplified thermal lattice boltzmann in incompressible limit. International Journal of Modern Physics B, 20 (17). pp. 2437-2449. ISSN 0217-9792 http://www.worldscinet.com/ijmpb/20/2017/S0217979206034789.html doi:10.1142/S0217979206034789 |
| spellingShingle | T Technology (General) Che Sidik, Nor Azwadi Takahiko, Tanahashi Simplified thermal lattice boltzmann in incompressible limit |
| title | Simplified thermal lattice boltzmann in incompressible limit |
| title_full | Simplified thermal lattice boltzmann in incompressible limit |
| title_fullStr | Simplified thermal lattice boltzmann in incompressible limit |
| title_full_unstemmed | Simplified thermal lattice boltzmann in incompressible limit |
| title_short | Simplified thermal lattice boltzmann in incompressible limit |
| title_sort | simplified thermal lattice boltzmann in incompressible limit |
| topic | T Technology (General) |
| url | http://eprints.utm.my/6631/ http://eprints.utm.my/6631/ http://eprints.utm.my/6631/ |