Towards a unified lattice kinetic scheme for relativistic hydrodynamics.

  title={Towards a unified lattice kinetic scheme for relativistic hydrodynamics.},
  author={A. Gabbana and M. Mendoza and S. Succi and R. Tripiccione},
  journal={Physical review. E},
  volume={95 5-1},
We present a systematic derivation of relativistic lattice kinetic equations for finite-mass particles, reaching close to the zero-mass ultrarelativistic regime treated in the previous literature. Starting from an expansion of the Maxwell-Jüttner distribution on orthogonal polynomials, we perform a Gauss-type quadrature procedure and discretize the relativistic Boltzmann equation on space-filling Cartesian lattices. The model is validated through numerical comparison with standard tests and… Expand
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