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Paper: Application of the Molecular Hydrodynamics to Accretion Flows
Volume: 359, Numerical Modeling of Space Plasma Flows: Astronum-2006
Page: 270
Authors: Matsuda, T.; Isaka, H.; Murata, H.; Boffin, H.M.J.
Abstract: 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 Δx. 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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