J. Kane et al. 2000 ApJ 528 989 doi:10.1086/308220
J. Kane1, D. Arnett2, B. A. Remington3, S. G. Glendinning3, G. Bazán4, E. Müller5, B. A. Fryxell6 and R. Teyssier7
Show affiliationsNumerical simulations using the SN hydrodynamics code PROMETHEUS are carried out to study the difference between growth of two-dimensional versus three-dimensional single-mode perturbations at the He-H and O-He interfaces of SN 1987A. We find that in the rest frame of an unperturbed one-dimensional interface, a three-dimensional single-mode perturbation grows ≈30%-35% faster than a two-dimensional single-mode perturbation, when the wavelengths are chosen to give the same linear stage growth in the planar limit. In simulations where we impose single-mode density perturbations in the O layer of the initial model and random velocity perturbations in the postshock fluid near the He-H interface, we find that both axisymmetric O spikes and three-dimensional O spikes penetrate significantly further than two-dimensional O spikes. The difference between two dimensions and three dimensions predicted by our calculations is not enough to account for the difference between observed 56Co velocities in SN 1987A and the results of previous two-dimensional simulations of SN 1987A, but our results suggest that the real three-dimensional hydrodynamics are noticeably different than the two-dimensional simulations predict.
hydrodynamics; instabilities; methods: numerical; supernovae: general
Issue 2 (2000 January 10)
Received 1999 March 2, accepted for publication 1999 August 26
J. Kane et al. 2000 ApJ 528 989
Prahalad M Parthangal et al 2006 Nanotechnology 17 3786
Kausik S Das et al 2009 Nonlinearity 22 2981
S. Sahayanathan and R. Misra 2005 ApJ 628 611
E H Hirsch 1959 J. Sci. Instrum. 36 477
J Lévêque et al 2009 Supercond. Sci. Technol. 22 125021
Y.-N. Su et al 2004 ApJ 616 L39
H Q Wang et al 2007 J. Phys. D: Appl. Phys. 40 6549
Mark Hannam et al 2007 Class. Quantum Grav. 24 S15
Steve Webb and Simon Harris 2008 Phys. Med. Biol. 53