A fast and explicit algorithm for simulating the dynamics of small dust grains with smoothed particle hydrodynamics
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We describe a simple method for simulating the dynamics of small grains in a dusty gas, relevant to micron-sized grains in the interstellar medium and grains of centimetre size and smaller in protoplanetary discs. The method involves solving one extra diffusion equation for the dust fraction in addition to the usual equations of hydrodynamics. This 'diffusion approximation for dust' is valid when the dust stopping time is smaller than the computational timestep. We present a numerical implementation using smoothed particle hydrodynamics that is conservative, accurate and fast. It does not require any implicit timestepping and can be straightforwardly ported into existing 3D codes.
Price , D J & Laibe , G 2015 , ' A fast and explicit algorithm for simulating the dynamics of small dust grains with smoothed particle hydrodynamics ' Monthly Notices of the Royal Astronomical Society , vol 451 , no. 1 , pp. 813-826 . DOI: 10.1093/mnras/stv996
Monthly Notices of the Royal Astronomical Society
This article has been accepted for publication in Monthly Notices of the Royal Astronomical Society, © 2015 The Authors Published by Oxford University Press on behalf of the Royal Astronomical Society. All rights reserved.
DJP acknowledges funding via an Australian Research Council (ARC) Future Fellowship, FT130100034, and Discovery Project grants DP1094585 and DP130102078. GL acknowledges funding from the European Research Council via FP7 ERC advanced grant project ECOGAL.