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Title:
Resolution requirements for simulating gravitational fragmentation using SPH
Authors:
Hubber, D. A.; Goodwin, S. P.; Whitworth, A. P.
Affiliation:
AA(School of Physics and Astronomy, Cardiff University, 5 The Parade, Cardiff CF24 3YB, Wales, UK ), AB(School of Physics and Astronomy, Cardiff University, 5 The Parade, Cardiff CF24 3YB, Wales, UK), AC(School of Physics and Astronomy, Cardiff University, 5 The Parade, Cardiff CF24 3YB, Wales, UK)
Publication:
Astronomy and Astrophysics, Volume 450, Issue 3, May II 2006, pp.881-886 (A&A Homepage)
Publication Date:
05/2006
Origin:
EDP Sciences
Astronomy Keywords:
stars: formation, methods: numerical, hydrodynamics, instabilities
DOI:
10.1051/0004-6361:20054100
Bibliographic Code:
2006A&A...450..881H

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 > λ_JEANS = (π a2 / G ρ_0)1/2 (where a is the isothermal sound speed and ρ_0 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.
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