### Abstract

We study about the multidimensional stability of standing shock waves in advectiondominated accretion flows into a Schwarzschild black hole by 2D general relativistic hydrodynamical simulations and linear analysis in the equatorial plane. We demonstrate that the accretion shock is stable against axisymmetric perturbations but becomes unstable to non-axisymmetric perturbations. The results of dynamical simulations are good consistent with linear analysis such as stability, oscillation and growing timescale. However, our analysis does not support previous work suggestion which is the instability mechanism is based on Papaloizou-Pringle type. It seems due to the wavelength of perturbation is too large for discussion about reflection point. In non-linear phases, it is found not only short-term random fluctuations by turbulent motions but also quasi periodic oscillations taking place on longer time scales in the latter phase. We discuss possible implications of Black Hole SASI for Quasi Periodic Oscillation (QPO) and central engine for Gamma Ray Bursts (GRB).

Original language | English |
---|---|

Title of host publication | Proceedings of the 17th Workshop on General Relativity and Gravitation in Japan, JGRG 2007 |

Pages | 201-204 |

Number of pages | 4 |

Publication status | Published - 2007 |

Event | 17th Workshop on General Relativity and Gravitation in Japan, JGRG 2007 - Nagoya Duration: 2007 Dec 3 → 2007 Dec 7 |

### Other

Other | 17th Workshop on General Relativity and Gravitation in Japan, JGRG 2007 |
---|---|

City | Nagoya |

Period | 07/12/3 → 07/12/7 |

### Fingerprint

### ASJC Scopus subject areas

- Atomic and Molecular Physics, and Optics

### Cite this

*Proceedings of the 17th Workshop on General Relativity and Gravitation in Japan, JGRG 2007*(pp. 201-204)

**Analysis of non-Axisymmetric shock stability in black hole geometry by numerical simulation and linear analysis.** / Nagakura, Hiroki; Yamada, Shoichi.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*Proceedings of the 17th Workshop on General Relativity and Gravitation in Japan, JGRG 2007.*pp. 201-204, 17th Workshop on General Relativity and Gravitation in Japan, JGRG 2007, Nagoya, 07/12/3.

}

TY - GEN

T1 - Analysis of non-Axisymmetric shock stability in black hole geometry by numerical simulation and linear analysis

AU - Nagakura, Hiroki

AU - Yamada, Shoichi

PY - 2007

Y1 - 2007

N2 - We study about the multidimensional stability of standing shock waves in advectiondominated accretion flows into a Schwarzschild black hole by 2D general relativistic hydrodynamical simulations and linear analysis in the equatorial plane. We demonstrate that the accretion shock is stable against axisymmetric perturbations but becomes unstable to non-axisymmetric perturbations. The results of dynamical simulations are good consistent with linear analysis such as stability, oscillation and growing timescale. However, our analysis does not support previous work suggestion which is the instability mechanism is based on Papaloizou-Pringle type. It seems due to the wavelength of perturbation is too large for discussion about reflection point. In non-linear phases, it is found not only short-term random fluctuations by turbulent motions but also quasi periodic oscillations taking place on longer time scales in the latter phase. We discuss possible implications of Black Hole SASI for Quasi Periodic Oscillation (QPO) and central engine for Gamma Ray Bursts (GRB).

AB - We study about the multidimensional stability of standing shock waves in advectiondominated accretion flows into a Schwarzschild black hole by 2D general relativistic hydrodynamical simulations and linear analysis in the equatorial plane. We demonstrate that the accretion shock is stable against axisymmetric perturbations but becomes unstable to non-axisymmetric perturbations. The results of dynamical simulations are good consistent with linear analysis such as stability, oscillation and growing timescale. However, our analysis does not support previous work suggestion which is the instability mechanism is based on Papaloizou-Pringle type. It seems due to the wavelength of perturbation is too large for discussion about reflection point. In non-linear phases, it is found not only short-term random fluctuations by turbulent motions but also quasi periodic oscillations taking place on longer time scales in the latter phase. We discuss possible implications of Black Hole SASI for Quasi Periodic Oscillation (QPO) and central engine for Gamma Ray Bursts (GRB).

UR - http://www.scopus.com/inward/record.url?scp=84887399534&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84887399534&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:84887399534

SP - 201

EP - 204

BT - Proceedings of the 17th Workshop on General Relativity and Gravitation in Japan, JGRG 2007

ER -