Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Time-Independent Gravitational Fields in the BGK Scheme for
  Hydrodynamics   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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The categories of this paper are: gr-qc
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The categories of this paper are: nucl-th
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The categories of this paper are: mtrl-th
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The categories of this paper are: comp-gas
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The categories of this paper are: acc-phys
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The categories of this paper are: cs
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The categories of this paper are: supr-con
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The categories of this paper are: physics
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The categories of this paper are: atom-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: eess
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The categories of this paper are: dg-ga
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The categories of this paper are: nucl-ex
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The categories of this paper are: adap-org
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The categories of this paper are: hep-ex
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The categories of this paper are: funct-an