Gravity in the BGK scheme for hydrodynamics

Details Gravity in the BGK scheme for hydrodynamics Gravity in the BGK scheme for hydrodynamics

Jul 1999

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1999phdt.........8s&link_type=abstract

Thesis (PhD). COLUMBIA UNIVERSITY, Source DAI-B 60/01, p. 222, Jul 1999, 185 pages.

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Bhatnagar Gross Krook, Three-Dimensional Gas Flow

Scientific paper

We extend the BGK scheme to 3D axisymmetric self- gravitating configurations in cylindrical polar coordinates. 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. To incorporate gravity into the axisymmetric cylindrical scheme, we solve Poisson's equation on an overlapping spherical grid. In some cases we include a fixed external gravitational field in the flow computation and in other cases we include self-gravity.

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