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A&A 409, 1-7 (2003)
DOI: 10.1051/0004-6361:20031080
Non-axisymmetric instabilities in shocked accretion flows with differential rotation
Wei-Min Gu1, 2 and T. Foglizzo11 Service d'Astrophysique, CEA/DSM/DAPNIA, CEA-Saclay, 91191 Gif-sur-Yvette, France
2 Department of Physics, Xiamen University, Xiamen, Fujian 361005, PR China
(Received 10 April 2003 / Accepted 30 June 2003)
Abstract
The linear stability of a shocked isothermal accretion flow
onto a black hole is investigated in the inviscid limit.
The outer shock solution, which was previously found to be stable with
respect to axisymmetric perturbations, is, however, generally unstable to
non-axisymmetric ones.
Eigenmodes and growth rates are obtained by numerical integration of
the linearized equations.
The mechanism of this instability is based on the cycle of acoustic
waves between their corotation radius and the shock.
It is a form of
the Papaloizou-Pringle instability, modified by
advection and the presence of the shock. As such it can be
generalized to non isothermal shocked accretion flows. Blobs and
vortices are generated by the shock as a by-product of the
instability.
Key words: accretion, accretion disks -- black hole physics -- hydrodynamics -- instabilities -- shock waves
Offprint request: Wei-Min Gu, guwm@xmu.edu.cn
© ESO 2003
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