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...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | en |
| Published: |
Journal of Fundamental Sciences
2007
|
| Subjects: | |
| Online Access: | http://eprints.utm.my/6607/1/The_development_of_thermal_lattice_Boltzmann_models_in.pdf http://eprints.utm.my/6607/ |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1845471652143431680 |
|---|---|
| author | Che Sidik, Nor Azwadi |
| author_facet | Che Sidik, Nor Azwadi |
| author_sort | Che Sidik, Nor Azwadi |
| 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 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.
|
| format | Article |
| id | my.utm.eprints-6607 |
| institution | Universiti Teknologi Malaysia |
| language | en |
| publishDate | 2007 |
| publisher | Journal of Fundamental Sciences |
| record_format | eprints |
| spelling | my.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 http://eprints.utm.my/6607/ |
| url_provider | http://eprints.utm.my/ |