A positivity-preserving and conservative high-order flux reconstruction method for the polyatomic Boltzmann–BGK equation

  • Dzanic, Tarik (Texas A&M University)
  • Witherden, Freddie (Texas A&M University)
  • Martinelli, Luigi (Princeton University)

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We present a numerical scheme for solving the polyatomic Boltzmann equation with the aim of increasing the applicability of the approach and drastically reducing the associated computational cost. The proposed scheme combines a positivity-preserving high-order flux reconstruction spatial discretization for unstructured meshes, guaranteeing the positivity of density and internal energy, with a nodal discrete velocity model, ensuring conservation regardless of the resolution.