Extended Lattice Boltzmann Model
Conventional lattice Boltzmann models for the simulation of fluid dynamics are restricted by an error in the stress tensor that is negligible only for small flow velocity and at a singular value of the temperature. To that end, we propose a unified formulation that restores Galilean invariance and t...
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-04-01
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| Series: | Entropy |
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| Online Access: | https://www.mdpi.com/1099-4300/23/4/475 |
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| author | Mohammad Hossein Saadat Benedikt Dorschner Ilya Karlin |
| author_facet | Mohammad Hossein Saadat Benedikt Dorschner Ilya Karlin |
| author_sort | Mohammad Hossein Saadat |
| collection | DOAJ |
| description | Conventional lattice Boltzmann models for the simulation of fluid dynamics are restricted by an error in the stress tensor that is negligible only for small flow velocity and at a singular value of the temperature. To that end, we propose a unified formulation that restores Galilean invariance and the isotropy of the stress tensor by introducing an extended equilibrium. This modification extends lattice Boltzmann models to simulations with higher values of the flow velocity and can be used at temperatures that are higher than the lattice reference temperature, which enhances computational efficiency by decreasing the number of required time steps. Furthermore, the extended model also remains valid for stretched lattices, which are useful when flow gradients are predominant in one direction. The model is validated by simulations of two- and three-dimensional benchmark problems, including the double shear layer flow, the decay of homogeneous isotropic turbulence, the laminar boundary layer over a flat plate and the turbulent channel flow. |
| first_indexed | 2024-03-10T12:14:56Z |
| format | Article |
| id | doaj.art-ecd90e8f39864ae1a60367d20377e4db |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-03-10T12:14:56Z |
| publishDate | 2021-04-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-ecd90e8f39864ae1a60367d20377e4db2023-11-21T15:58:07ZengMDPI AGEntropy1099-43002021-04-0123447510.3390/e23040475Extended Lattice Boltzmann ModelMohammad Hossein Saadat0Benedikt Dorschner1Ilya Karlin2Department of Mechanical and Process Engineering, ETH Zurich, 8092 Zurich, SwitzerlandDepartment of Mechanical and Process Engineering, ETH Zurich, 8092 Zurich, SwitzerlandDepartment of Mechanical and Process Engineering, ETH Zurich, 8092 Zurich, SwitzerlandConventional lattice Boltzmann models for the simulation of fluid dynamics are restricted by an error in the stress tensor that is negligible only for small flow velocity and at a singular value of the temperature. To that end, we propose a unified formulation that restores Galilean invariance and the isotropy of the stress tensor by introducing an extended equilibrium. This modification extends lattice Boltzmann models to simulations with higher values of the flow velocity and can be used at temperatures that are higher than the lattice reference temperature, which enhances computational efficiency by decreasing the number of required time steps. Furthermore, the extended model also remains valid for stretched lattices, which are useful when flow gradients are predominant in one direction. The model is validated by simulations of two- and three-dimensional benchmark problems, including the double shear layer flow, the decay of homogeneous isotropic turbulence, the laminar boundary layer over a flat plate and the turbulent channel flow.https://www.mdpi.com/1099-4300/23/4/475lattice Boltzmann methodGalilean invarianceextended equilibrium |
| spellingShingle | Mohammad Hossein Saadat Benedikt Dorschner Ilya Karlin Extended Lattice Boltzmann Model Entropy lattice Boltzmann method Galilean invariance extended equilibrium |
| title | Extended Lattice Boltzmann Model |
| title_full | Extended Lattice Boltzmann Model |
| title_fullStr | Extended Lattice Boltzmann Model |
| title_full_unstemmed | Extended Lattice Boltzmann Model |
| title_short | Extended Lattice Boltzmann Model |
| title_sort | extended lattice boltzmann model |
| topic | lattice Boltzmann method Galilean invariance extended equilibrium |
| url | https://www.mdpi.com/1099-4300/23/4/475 |
| work_keys_str_mv | AT mohammadhosseinsaadat extendedlatticeboltzmannmodel AT benediktdorschner extendedlatticeboltzmannmodel AT ilyakarlin extendedlatticeboltzmannmodel |