Time-Independent Gravitational Fields in the BGK Scheme for Hydrodynamics

Details Time-Independent Gravitational Fields in the BGK Scheme for Hydrodynamics Time-Independent Gravitational Fields in the BGK Scheme for Hydrodynamics

1999-05-19

arxiv.org/abs/astro-ph/9905247v1

Astronomy and Astrophysics

Astrophysics

31 pages including 19 figures (For higher resolution figs. see http://www.mpia-hd.mpg.de/MPIA/Projects/THEORY/slyz), Accepted

Scientific paper

10.1051/aas:1999389

We incorporate a time-independent gravitational field into the BGK scheme for numerical hydrodynamics. In the BGK scheme the gas evolves via an approximation to the collisional Boltzmann equation, namely the Bhatnagar-Gross-Krook (BGK) equation. Time-dependent hydrodynamical fluxes are computed from local solutions of the BGK equation. By accounting for particle collisions, the fundamental mechanism for generating dissipation in gas flow, a scheme based on the BGK equation gives solutions to the Navier-Stokes equations: the fluxes carry both advective and dissipative terms. We perform numerical experiments in both 1D Cartesian geometries and axisymmetric cylindrical coordinates.

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