A Multi-Relaxation-Time Lattice Boltzmann Method on Non- Uniform Grids for Large Eddy Simulation of Rayleigh-Bénard Convection Using Two Sub-Grid Scale Models
In the present work, for the first time, the application of a Multi-Relaxation-Time Lattice Boltzmann (MRT-LB) model for large-eddy simulation (LES) of turbulent thermally driven flows on non-uniform grids is considered. A Taylor series expansion and Least square based Lattice Boltzamnn method (TL...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Isfahan University of Technology
2014-01-01
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| Series: | Journal of Applied Fluid Mechanics |
| Subjects: | |
| Online Access: | http://jafmonline.net/JournalArchive/download?file_ID=32461&issue_ID=216 |
| _version_ | 1818835469687848960 |
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| author | Ahmad Reza Rahmati Mahmud Ashrafizaadeh E. Shirani |
| author_facet | Ahmad Reza Rahmati Mahmud Ashrafizaadeh E. Shirani |
| author_sort | Ahmad Reza Rahmati |
| collection | DOAJ |
| description | In the present work, for the first time, the application of a Multi-Relaxation-Time Lattice Boltzmann (MRT-LB) model
for large-eddy simulation (LES) of turbulent thermally driven flows on non-uniform grids is considered. A Taylor series
expansion and Least square based Lattice Boltzamnn method (TLLBM) has been implemented in order to use a nonuniform
mesh. It permits to reduce the required mesh size and consequently the computational cost to simulate the
turbulent buoyant flow fields. The implementation is discussed in the context of a MRT-LB model in conjunction with
both Smagorinsky and mixed scale viscosity sub-grid models. At first, to validate the code, a multi-relaxation–time lattice
Boltmann method on non-uniform grid is utilized to simulate a lid-driven cavity flow .Then large eddy simulation of this
model is applied to simulate a turbulent Rayleigh-Bénard convection at different Rayleigh numbers in ranging 104 to 1015
for Prantdl number of 0.71. The simulation results show that lattice Boltzmann method is capable to simulate turbulent
convection flow problems at high Rayleigh numbers. |
| first_indexed | 2024-12-19T02:51:13Z |
| format | Article |
| id | doaj.art-5bab1610a34c40aa9f43b0b353baa0c7 |
| institution | Directory Open Access Journal |
| issn | 1735-3572 |
| language | English |
| last_indexed | 2024-12-19T02:51:13Z |
| publishDate | 2014-01-01 |
| publisher | Isfahan University of Technology |
| record_format | Article |
| series | Journal of Applied Fluid Mechanics |
| spelling | doaj.art-5bab1610a34c40aa9f43b0b353baa0c72022-12-21T20:38:36ZengIsfahan University of TechnologyJournal of Applied Fluid Mechanics1735-35722014-01-017189102.A Multi-Relaxation-Time Lattice Boltzmann Method on Non- Uniform Grids for Large Eddy Simulation of Rayleigh-Bénard Convection Using Two Sub-Grid Scale ModelsAhmad Reza Rahmati0Mahmud Ashrafizaadeh1E. Shirani2Isfahan University of TechnologyIsfahan University of TechnologyFoolad Institute of Technology, Fooladshahr, Isfahan 84916-63763, IranIn the present work, for the first time, the application of a Multi-Relaxation-Time Lattice Boltzmann (MRT-LB) model for large-eddy simulation (LES) of turbulent thermally driven flows on non-uniform grids is considered. A Taylor series expansion and Least square based Lattice Boltzamnn method (TLLBM) has been implemented in order to use a nonuniform mesh. It permits to reduce the required mesh size and consequently the computational cost to simulate the turbulent buoyant flow fields. The implementation is discussed in the context of a MRT-LB model in conjunction with both Smagorinsky and mixed scale viscosity sub-grid models. At first, to validate the code, a multi-relaxation–time lattice Boltmann method on non-uniform grid is utilized to simulate a lid-driven cavity flow .Then large eddy simulation of this model is applied to simulate a turbulent Rayleigh-Bénard convection at different Rayleigh numbers in ranging 104 to 1015 for Prantdl number of 0.71. The simulation results show that lattice Boltzmann method is capable to simulate turbulent convection flow problems at high Rayleigh numbers.http://jafmonline.net/JournalArchive/download?file_ID=32461&issue_ID=216Lattice Boltzmann method MRT-LBM LES TLLBM. |
| spellingShingle | Ahmad Reza Rahmati Mahmud Ashrafizaadeh E. Shirani A Multi-Relaxation-Time Lattice Boltzmann Method on Non- Uniform Grids for Large Eddy Simulation of Rayleigh-Bénard Convection Using Two Sub-Grid Scale Models Journal of Applied Fluid Mechanics Lattice Boltzmann method MRT-LBM LES TLLBM. |
| title | A Multi-Relaxation-Time Lattice Boltzmann Method on Non- Uniform Grids for Large Eddy Simulation of Rayleigh-Bénard Convection Using Two Sub-Grid Scale Models |
| title_full | A Multi-Relaxation-Time Lattice Boltzmann Method on Non- Uniform Grids for Large Eddy Simulation of Rayleigh-Bénard Convection Using Two Sub-Grid Scale Models |
| title_fullStr | A Multi-Relaxation-Time Lattice Boltzmann Method on Non- Uniform Grids for Large Eddy Simulation of Rayleigh-Bénard Convection Using Two Sub-Grid Scale Models |
| title_full_unstemmed | A Multi-Relaxation-Time Lattice Boltzmann Method on Non- Uniform Grids for Large Eddy Simulation of Rayleigh-Bénard Convection Using Two Sub-Grid Scale Models |
| title_short | A Multi-Relaxation-Time Lattice Boltzmann Method on Non- Uniform Grids for Large Eddy Simulation of Rayleigh-Bénard Convection Using Two Sub-Grid Scale Models |
| title_sort | multi relaxation time lattice boltzmann method on non uniform grids for large eddy simulation of rayleigh benard convection using two sub grid scale models |
| topic | Lattice Boltzmann method MRT-LBM LES TLLBM. |
| url | http://jafmonline.net/JournalArchive/download?file_ID=32461&issue_ID=216 |
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