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In the radial flow of gas into a black hole (i.e. Bondi accretion), the infall of any entropy or vorticity perturbation produces acoustic waves propagating outward. The dependence of this acoustic flux on the shape of the perturbation is…

Astrophysics · Physics 2009-11-06 T. Foglizzo

The linear stability of isothermal Bondi accretion with a shock is studied analytically in the asymptotic limit of high incident Mach number M_1. The flow is unstable with respect to radial perturbations as expected by Nakayama (1993), due…

Astrophysics · Physics 2009-11-07 T. Foglizzo

The adiabatic shock produced by a compact object moving supersonically relative to a gas with uniform entropy and no vorticity is a source of entropy gradients and vorticity. We investigate these analytically. The non-axisymmetric…

Astrophysics · Physics 2007-05-23 T. Foglizzo , M. Ruffert

We analyze the linear stability of a stalled accretion shock in a perfect gas with a parametrized cooling function L ~ rho^{beta-alpha} P^alpha. The instability is dominated by the l=1 mode if the shock radius exceeds 2-3 times the accretor…

Astrophysics · Physics 2008-11-26 T. Foglizzo , P. Galletti , L. Scheck , H. -Th. Janka

The linear stability of stalled accretion shocks is investigated in the context of core collapse of type II supernovae. We focus on a particular instability mechanism based on the coupling of acoustic perturbations with advected ones…

Astrophysics · Physics 2007-05-23 Thierry Foglizzo , Pascal Galletti

During stellar core collapse, which eventually leads to a supernovae explosion, the stalled shock is unstable due to the standing accretion shock instability (SASI). This instability induces large-scale non spherical oscillations of the…

High Energy Astrophysical Phenomena · Physics 2015-06-03 Jerome Guilet , Thierry Foglizzo

The instability of Bondi-Hoyle-Lyttleton accretion, observed in numerical simulations, is analyzed through known physical mechanisms and possible numerical artefacts. The mechanisms of the longitudinal and transverse instabilities,…

Astrophysics · Physics 2009-11-10 T. Foglizzo , P. Galletti , M. Ruffert

Some general properties of the advective-acoustic instability are described and understood using a toy model which is simple enough to allow for analytical estimates of the eigenfrequencies. The essential ingredients of this model, in the…

Astrophysics · Physics 2011-02-11 T. Foglizzo

The global nonlinear time-dependent evolution of the inertial-acoustic mode instability in accretion disks surrounding black holes has been investigated. The viscous stress is assumed to be proportional to the gas pressure only, i.e.\,,…

Astrophysics · Physics 2009-10-22 Xingming Chen , Ronald E. Taam

It is shown that small, local disturbances of entropy in the atmosphere may give rise to "sound" waves propagating with a velocity which depends on the amplitude ratio of the local relative variations of temperature and volume. This…

ao-sci · Physics 2008-02-03 B. -F. Apostol , S. Stefan , M. Apostol

It is known that a localized vortex can have two specific mechanisms of interaction with the ambient flow. The first mechanism is associated with acoustic radiation, which is accompanied by a loss of energy and causes instability in the…

Fluid Dynamics · Physics 2023-12-01 V. F. Kopiev , S. A. Chernyshev , A. B. Barbasov

The present contribution investigates the mechanisms of sound generation and propagation in the case of highly-unsteady flows. Based on the linearisation of the isentropic Navier-Stokes equation around a new pathline-averaged base flow, it…

Mathematical Physics · Physics 2015-02-24 Christian Henke

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,…

Astrophysics · Physics 2009-11-10 Wei-Min Gu , Thierry Foglizzo

The effect of a magnetic field on the linear phase of the advective-acoustic instability is investigated, as a first step toward a magnetohydrodynamic (MHD) theory of the stationary accretion shock instability taking place during stellar…

Solar and Stellar Astrophysics · Physics 2014-11-20 Jerome Guilet , Thierry Foglizzo

The puzzle of birth velocities of pulsars (pulsar kicks) could be solved by an asymmetric explosion of type II Supernovae. We propose a simple hydrodynamical mechanism in order to explain this asymmetry, through the advective-acoustic cycle…

Astrophysics · Physics 2007-05-23 P. Galletti , T. Foglizzo

Using two-dimensional hydrodynamic simulations, we investigate the stability of shocked accretion flows around black holes under non-axisymmetric perturbations. By systematically exploring the parameter space of specific energy and angular…

High Energy Astrophysical Phenomena · Physics 2025-05-07 Junxing Zhou , Junxiang Huang , Xin Chang , Toru Okuda , Chandra B. Singh

We investigate the linear stability of a shocked accretion flow onto a black hole in the adiabatic limit. Our linear analyses and numerical calculations show that, despite the post-shock deceleration, the shock is generally unstable to…

Astrophysics · Physics 2009-11-13 Wei-Min Gu , Ju-Fu Lu

In this paper, we develop an analytical model to investigate the generation of instability waves triggered by the upstream acoustic forcing near the nozzle lip of a supersonic jet. This represents an important stage, i.e. the jet…

Fluid Dynamics · Physics 2024-05-17 Binhong Li , Sicheng Zhang , Benshuai Lyu

Acoustic perturbations in a parallel relativistic flow of an inviscid fluid are considered. The general expression for the frequency of the sound waves in a uniformly (with zero shear) moving medium is derived. It is shown that relativity…

Astrophysics · Physics 2007-05-23 A. D. Rogava , V. I. Berezhiani , S. M. Mahajan

Accretion flows having low angular momentum and low viscosity can have standing shock waves. These shocks arise due to the presence of multiple sonic points in the flow. We study the region of the parameter space in which multiple sonic…

Astrophysics · Physics 2009-11-10 Sandip K. Chakrabarti , Santabrata Das
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