High-order semi-Lagrangian kinetic scheme for compressible turbulence.

  title={High-order semi-Lagrangian kinetic scheme for compressible turbulence.},
  author={Dominik Wilde and Andreas Kr{\"a}mer and Dirk Reith and Holger Foysi},
  journal={Physical review. E},
  volume={104 2-2},
Turbulent compressible flows are traditionally simulated using explicit time integrators applied to discretized versions of the Navier-Stokes equations. However, the associated Courant-Friedrichs-Lewy condition severely restricts the maximum time-step size. Exploiting the Lagrangian nature of the Boltzmann equation's material derivative, we now introduce a feasible three-dimensional semi-Lagrangian lattice Boltzmann method (SLLBM), which circumvents this restriction. While many lattice… 

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