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

Hiroki Nagakura, Shoichi Yamada

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

    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 languageEnglish
    Title of host publicationProceedings of the 17th Workshop on General Relativity and Gravitation in Japan, JGRG 2007
    Pages201-204
    Number of pages4
    Publication statusPublished - 2007
    Event17th Workshop on General Relativity and Gravitation in Japan, JGRG 2007 - Nagoya
    Duration: 2007 Dec 32007 Dec 7

    Other

    Other17th Workshop on General Relativity and Gravitation in Japan, JGRG 2007
    CityNagoya
    Period07/12/307/12/7

    Fingerprint

    shock
    perturbation
    oscillations
    simulation
    gamma ray bursts
    suggestion
    engines
    shock waves
    wavelengths

    ASJC Scopus subject areas

    • Atomic and Molecular Physics, and Optics

    Cite this

    Nagakura, H., & Yamada, S. (2007). Analysis of non-Axisymmetric shock stability in black hole geometry by numerical simulation and linear analysis. In 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.

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

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

    Nagakura, H & Yamada, S 2007, Analysis of non-Axisymmetric shock stability in black hole geometry by numerical simulation and linear analysis. in 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.
    Nagakura H, Yamada S. Analysis of non-Axisymmetric shock stability in black hole geometry by numerical simulation and linear analysis. In Proceedings of the 17th Workshop on General Relativity and Gravitation in Japan, JGRG 2007. 2007. p. 201-204
    Nagakura, Hiroki ; Yamada, Shoichi. / Analysis of non-Axisymmetric shock stability in black hole geometry by numerical simulation and linear analysis. Proceedings of the 17th Workshop on General Relativity and Gravitation in Japan, JGRG 2007. 2007. pp. 201-204
    @inproceedings{cdd8d15ccd55494e901ded6eab13ebe6,
    title = "Analysis of non-Axisymmetric shock stability in black hole geometry by numerical simulation and linear analysis",
    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).",
    author = "Hiroki Nagakura and Shoichi Yamada",
    year = "2007",
    language = "English",
    pages = "201--204",
    booktitle = "Proceedings of the 17th Workshop on General Relativity and Gravitation in Japan, JGRG 2007",

    }

    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 -