TY  - JOUR
U1  - Zeitschriftenartikel, wissenschaftlich - begutachtet (reviewed)
A1  - Wilde, Dominik
A1  - Krämer, Andreas
A1  - Reith, Dirk
A1  - Foysi, Holger
T1  - High-order semi-Lagrangian kinetic scheme for compressible turbulence
JF  - Physical Review E
N2  - 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 Boltzmann methods for compressible flows were restricted to two dimensions due to the enormous number of discrete velocities in three dimensions, the SLLBM uses only 45 discrete velocities. Based on compressible Taylor-Green vortex simulations we show that the new method accurately captures shocks or shocklets as well as turbulence in 3D without utilizing additional filtering or stabilizing techniques other than the filtering introduced by the interpolation, even when the time-step sizes are up to two orders of magnitude larger compared to simulations in the literature. Our new method therefore enables researchers to study compressible turbulent flows by a fully explicit scheme, whose range of admissible time-step sizes is dictated by physics rather than spatial discretization.
KW  - Compressible flows
KW  - Kinetic theory
KW  - Turbulence
KW  - Lattice-Boltzmann methods
KW  - Navier-Stokes equation
KW  - Fluid Dynamics
KW  - Statistical Physics
UN  - https://nbn-resolving.org/urn:nbn:de:hbz:1044-opus-57993
SN  - 2470-0045
SS  - 2470-0045
U6  - https://doi.org/10.1103/PhysRevE.104.025301
DO  - https://doi.org/10.1103/PhysRevE.104.025301
PM  - 34525552
VL  - 104
IS  - 2
SP  - 1
EP  - 15
PB  - American Physical Society
ER  -