Application of the Molecular Hydrodynamics to Accretion Flows

Details Application of the Molecular Hydrodynamics to Accretion Flows Application of the Molecular Hydrodynamics to Accretion Flows

Dec 2006

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2006aspc..359..270m&link_type=abstract

Numerical Modeling of Space Plasma Flows: Astronum-2006 ASP Conference Series, Volume 359, Proceedings of the Conference Held 26

Astronomy and Astrophysics

Astronomy

Scientific paper

We propose a new CFD method modified from the Direct Simulation Monte Carlo method (DSMC). The DSMC is modified to handle continuum flows by setting the mean free path of molecules to a fixed, constant value, which is on the order of a cell size Δ x. By doing so, we quickly reach equilibrium. We call our scheme 'Molecular hydrodynamics' (MH). We test our MH scheme with three typical examples: the Sod shock tube problem, a two-dimensional step flow and a two-dimensional accretion disc. The MH has the following characteristics: 1) Time steps are not restricted by a CFL condition in spite of the fact that the scheme is time explicit; 2) The quality of the solutions is improved by an ensemble averaging.

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