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arXiv · 2101.06187

Two Dimensional Turbulence in a Massless Fluid with a Relativistic Lattice Boltzmann Model

Mark Watson
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Abstract

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.

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Mark Watson. 2021-01-15. Two Dimensional Turbulence in a Massless Fluid with a Relativistic Lattice Boltzmann Model. https://doi.org/10.1063/5.0045611

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