Two Dimensional Turbulence in a Massless Fluid with a Relativistic Lattice Boltzmann Model
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arXiv
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| Format: | Preprint |
| Published: |
2021
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| _version_ | 1866913385262612480 |
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| author | Watson, Mark |
| author_facet | Watson, Mark |
| contents | We investigate a relativistic adaptation of the Lattice Boltzmann Method that reproduces the equations of motion for a turbulent, two-dimensional, massless hydrodynamic system. The classical Lattice Boltzmann Method and its extension to relativistic fluid dynamics is described. The numeric formulation is evaluated using a zero-averaged stirring force introduced into the numerics to induce turbulence, and the flow characteristics produced are compared to properties of a classical turbulent hydrodynamic flow. The model can reasonably be expected to offer quantitative simulations of electron fluid flows in graphene or Kagome lattices. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2101_06187 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Two Dimensional Turbulence in a Massless Fluid with a Relativistic Lattice Boltzmann Model Watson, Mark Fluid Dynamics High Energy Astrophysical Phenomena Strongly Correlated Electrons Nuclear Theory We investigate a relativistic adaptation of the Lattice Boltzmann Method that reproduces the equations of motion for a turbulent, two-dimensional, massless hydrodynamic system. The classical Lattice Boltzmann Method and its extension to relativistic fluid dynamics is described. The numeric formulation is evaluated using a zero-averaged stirring force introduced into the numerics to induce turbulence, and the flow characteristics produced are compared to properties of a classical turbulent hydrodynamic flow. The model can reasonably be expected to offer quantitative simulations of electron fluid flows in graphene or Kagome lattices. |
| title | Two Dimensional Turbulence in a Massless Fluid with a Relativistic Lattice Boltzmann Model |
| topic | Fluid Dynamics High Energy Astrophysical Phenomena Strongly Correlated Electrons Nuclear Theory |
| url | https://arxiv.org/abs/2101.06187 |