A fast and explicit algorithm for simulating the dynamics of small dust grains with smoothed particle hydrodynamics

D.J. Price; G. Laibe

doi:10.1093/mnras/stv996

A fast and explicit algorithm for simulating the dynamics of small dust grains with smoothed particle hydrodynamics

D.J. Price, G. Laibe

School of Physics and Astronomy

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English
Pages (from-to)	813-826
Number of pages	14
Journal	Monthly Notices of the Royal Astronomical Society
Volume	451
Issue number	1
Early online date	1 Jun 2015
DOIs	https://doi.org/10.1093/mnras/stv996
Publication status	Published - 21 Jul 2015

Keywords

Hydrodynamics
Methods: numerical
Protoplanetary discs
Dust, extinction
ISM: kinematics and dynamics

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10.1093/mnras/stv996

Laibe_2015_MNRAS_FastandExplicit
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.
Final published version, 1.9 MB

ERC ECOGAL: Star Formation and the Galax: ECOGAL
Bonnell, I. A. (PI)
European Research Council
1/05/12 → 30/04/17
Project: Standard

Cite this

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title = "A fast and explicit algorithm for simulating the dynamics of small dust grains with smoothed particle hydrodynamics",

abstract = "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.",

keywords = "Hydrodynamics, Methods: numerical, Protoplanetary discs, Dust, extinction , ISM: kinematics and dynamics",

author = "D.J. Price and G. Laibe",

note = "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. ",

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KW - Hydrodynamics

KW - Methods: numerical

KW - Protoplanetary discs

KW - Dust, extinction

KW - ISM: kinematics and dynamics

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A fast and explicit algorithm for simulating the dynamics of small dust grains with smoothed particle hydrodynamics

Abstract

Keywords

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Projects

ERC ECOGAL: Star Formation and the Galax: ECOGAL

Cite this