Kavli Affiliate: Tom Abel
| First 5 Authors: Alvaro Zamora, Elliott Slaughter, Tom Abel, ,
| Summary:
In this paper, we introduce our open source implementation of the Coupled
Discrete Unified Gas Kinetic Scheme (CDUGKS) of
https://journals.aps.org/pre/abstract/10.1103/PhysRevE.98.053310, a phase space
scheme capable of handling a wide range of flow regimes. We demonstrate its
performance on several problems including a number of well known test problems
from the astrophysical fluid dynamics literature such as the 1D Sod shock tube,
2D Kelvin-Helmholtz instability, 1D thermoacoustic wave, a triangular Gresho
vortex, a sine wave velocity perturbation. For these problems, we show that the
code can simulate flows ranging from the inviscid/Eulerian regime to the
free-streaming regime, capturing shocks and emergent diffusive processes in the
appropriate regimes. We also use a variety of Prandtl numbers to demonstrate
the scheme’s ability to simulate different thermal conductivities at fixed
viscosity. The scheme is second-order accurate in space and time and, unlike
many solvers, uses a time step that is independent of the mean free path of the
gas. Our code (MP-CDUGKS) is public under a CC0 1.0 Universal license and is
available on https://github.com/alvarozamora/CDUGKS
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