The development of thermal lattice Boltzmann models in incompressible limit
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 Boltz...
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| Format: | Article |
| Language: | English |
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Journal of Fundamental Sciences
2007
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| Online Access: | http://eprints.utm.my/6607/1/The_development_of_thermal_lattice_Boltzmann_models_in.pdf |
| _version_ | 1796854101753987072 |
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| author | Che Sidik, Nor Azwadi |
| author_facet | Che Sidik, Nor Azwadi |
| author_sort | Che Sidik, Nor Azwadi |
| collection | ePrints |
| description | 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, we 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.
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| first_indexed | 2024-03-05T18:09:22Z |
| format | Article |
| id | utm.eprints-6607 |
| institution | Universiti Teknologi Malaysia - ePrints |
| language | English |
| last_indexed | 2024-03-05T18:09:22Z |
| publishDate | 2007 |
| publisher | Journal of Fundamental Sciences |
| record_format | dspace |
| spelling | utm.eprints-66072010-06-01T15:44:57Z http://eprints.utm.my/6607/ The development of thermal lattice Boltzmann models in incompressible limit Che Sidik, Nor Azwadi T Technology (General) 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, we 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. Journal of Fundamental Sciences 2007-09 Article PeerReviewed application/pdf en http://eprints.utm.my/6607/1/The_development_of_thermal_lattice_Boltzmann_models_in.pdf Che Sidik, Nor Azwadi (2007) The development of thermal lattice Boltzmann models in incompressible limit. The development of thermal lattice Boltzmann models in incompressible limit, 3 (2). pp. 193-202. |
| spellingShingle | T Technology (General) Che Sidik, Nor Azwadi The development of thermal lattice Boltzmann models in incompressible limit |
| title | The development of thermal lattice Boltzmann models in incompressible limit |
| title_full | The development of thermal lattice Boltzmann models in incompressible limit |
| title_fullStr | The development of thermal lattice Boltzmann models in incompressible limit |
| title_full_unstemmed | The development of thermal lattice Boltzmann models in incompressible limit |
| title_short | The development of thermal lattice Boltzmann models in incompressible limit |
| title_sort | development of thermal lattice boltzmann models in incompressible limit |
| topic | T Technology (General) |
| url | http://eprints.utm.my/6607/1/The_development_of_thermal_lattice_Boltzmann_models_in.pdf |
| work_keys_str_mv | AT chesidiknorazwadi thedevelopmentofthermallatticeboltzmannmodelsinincompressiblelimit AT chesidiknorazwadi developmentofthermallatticeboltzmannmodelsinincompressiblelimit |