Hubber, D.A., Goodwin, S.P. and Whitworth, A.P. (2006) Resolution requirements for simulating gravitational fragmentation using SPH. Astronomy and Astrophysics, 450 (3). pp. 881-886. ISSN 0004-6361
Abstract
Jeans showed analytically that, in an infinite uniform-density isothermal gas, plane-wave perturbations collapse to dense sheets if their wavelength, λ, satisfies λ>λJEANS = � πa2/Gρ0 1/2 (where a is the isothermal sound speed and ρ0 is the unperturbed density); in contrast, perturbations with smaller λ oscillate about the uniform density state. Here we show that Smoothed Particle Hydrodynamics reproduces these results well, even when the diameters of the SPH particles are twice the wavelength of the perturbation. Our simulations are performed in 3-D with initially settled (i.e. non-crystalline) distributions of particles. Therefore there exists the seed noise for artificial fragmentation, but it does not occur. We conclude that, although there may be – as with any numerical scheme – “skeletons in the SPH cupboard”, a propensity to fragment artificially is evidently not one of them.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © ESO, 2006. Reproduced in accordance with the publisher's self-archiving policy. |
Keywords: | stars: formation ; methods: numerical ; hydrodynamics ; instabilities |
Dates: |
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Institution: | The University of Sheffield |
Academic Units: | The University of Sheffield > Faculty of Science (Sheffield) > Department of Physics and Astronomy (Sheffield) |
Depositing User: | Symplectic Sheffield |
Date Deposited: | 16 Feb 2018 11:43 |
Last Modified: | 16 Feb 2018 11:43 |
Published Version: | https://doi.org/10.1051/0004-6361:20054100 |
Status: | Published |
Publisher: | EDP Sciences |
Refereed: | Yes |
Identification Number: | 10.1051/0004-6361:20054100 |
Related URLs: | |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:127499 |