A Novel Velocity Discretization for Lattice Boltzmann Method: Application to Compressible Flow
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866909536583942144 |
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| author | Afrasiabian, Navid Denniston, Colin |
| author_facet | Afrasiabian, Navid Denniston, Colin |
| contents | The Lattice Boltzmann Method (LBM) has emerged as a powerful tool in computational fluid dynamics and material science. However, standard LBM formulation imposes some limitations on the applications of the method, particularly compressible fluids. In this paper, we introduce a new velocity discretization method to overcome some of these challenges. In this new formulation, the particle populations are discretized using a bump function that has a mean and a variance. This introduces enough independent degrees of freedom to set the equilibrium moments to the moments of Maxwell-Boltzmann distribution up to and including the third moments. Consequently, the correct macroscopic fluid dynamics equations for compressible fluids are recovered. We validate our method using several benchmark simulations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_00620 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A Novel Velocity Discretization for Lattice Boltzmann Method: Application to Compressible Flow Afrasiabian, Navid Denniston, Colin Soft Condensed Matter Materials Science Fluid Dynamics The Lattice Boltzmann Method (LBM) has emerged as a powerful tool in computational fluid dynamics and material science. However, standard LBM formulation imposes some limitations on the applications of the method, particularly compressible fluids. In this paper, we introduce a new velocity discretization method to overcome some of these challenges. In this new formulation, the particle populations are discretized using a bump function that has a mean and a variance. This introduces enough independent degrees of freedom to set the equilibrium moments to the moments of Maxwell-Boltzmann distribution up to and including the third moments. Consequently, the correct macroscopic fluid dynamics equations for compressible fluids are recovered. We validate our method using several benchmark simulations. |
| title | A Novel Velocity Discretization for Lattice Boltzmann Method: Application to Compressible Flow |
| topic | Soft Condensed Matter Materials Science Fluid Dynamics |
| url | https://arxiv.org/abs/2501.00620 |