Astronomy and Astrophysics – Astronomy
Scientific paper
May 1998
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1998mnras.296..442w&link_type=abstract
Monthly Notices of the Royal Astronomical Society, Volume 296, Issue 2, pp. 442-444.
Astronomy and Astrophysics
Astronomy
48
Hydrodynamics, Methods: Numerical, Stars: Formation, Galaxies: Formation, Large-Scale Structure Of Universe
Scientific paper
We derive analytically the Jeans criterion for a gas simulated using an SPH code in which the number of neighbours N_neighb is held constant (approximately) and the gravity-softening length, epsilon, equals the smoothing length, h (approximately). We show that the Jeans criterion is reproduced accurately for resolved structures, i.e. those represented by >N_neighb particles. Unresolved structures are stabilized, as long as (i) the smoothing kernel W(u) is sufficiently centrally peaked, and (ii) the Jeans mass is resolved. Provided that these conditions are satisfied, then, in simulations of the formation of stars and galaxies, any fragmentation that occurs should be both physical and resolved. In particular there should be no creation of sub-Jeans condensations owing to numerical instability.
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