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

@article{Wilde2021HighorderSK,
  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},
  year={2021},
  volume={104 2-2},
  pages={
          025301
        }
}
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… 

Cubature rules for weakly and fully compressible off-lattice Boltzmann methods

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Particles-on-demand formulation of kinetic theory [B. Dorschner, F. Bösch and I. V. Karlin, Phys. Rev. Lett. 121, 130602 (2018)0031-900710.1103/PhysRevLett.121.130602] is used to simulate a variety

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