An optimal transient growth of small perturbations in thin gaseous discs

Details An optimal transient growth of small perturbations in thin gaseous discs An optimal transient growth of small perturbations in thin gaseous discs

2011-09-09

arxiv.org/abs/1109.2108v1

Astronomy and Astrophysics

Astrophysics

High Energy Astrophysical Phenomena

15 pages, 5 figures, accepted for publication in AstL

Scientific paper

A thin gaseous disc with an almost keplerian angular velocity profile, bounded by a free surface and rotating around point-mass gravitating object is nearly spectrally stable. Despite that the substantial transient growth of linear perturbations measured by the evolution of their acoustic energy is possible. This fact is demonstrated for the simple model of a non-viscous polytropic thin disc of a finite radial size where the small adiabatic perturbations are considered as a linear combination of neutral modes with a corotational radius located beyond the outer boundary of the flow.

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