419 特集 宇宙における新しい流体力学 - ブラックホールと SASI- SASI Study of SASI in Black Hole Accretion Flows by Employing General Relativistic Compressive Hydrodynamics Hiroki NAGAKURA, Yukawa Institute for Theoretical Physics, Kyoto University, Advanced Research Institute for Science & Engineering, Waseda University 1 20 SASI SASI Standing Accretion Shock Instability SASI 1 SASI 2 SASI SASI 1) 606 8502 E-mail: hiroki@heap.phys.waseda.ac.jp 1
420 2 100 g µν g µν G µν = 8πG c 4 T µν (1) G µν T µν G c 1 3 4 µ ν 0 3 (1) T µν T µν (1) G µν g µν 2 (1) g µν 1 1 描 2 3 2 1
421 3 5 1 (ρ 0 u µ ) ;µ = 0, (2) (T µν ) ;ν = 0, (3) ρ 0 u µ 4 3 ρ 0 u µ 3 ; 2 3 1 2 3 g µν g µν 1 T µν = 0 3 ρ 0 n m ρ 0 = mn 2
422 2) g µν 2 3 4 3 T µν T µν = ρ 0 hu µ u ν + pg µν (4) h p T µν 3 2 4 T µν 2 3 2 3 Evolutionary Condtion Evolutionary Condition Evolutionary Condition Evolutionary Condition (Magneto-hydrodynamics, MHD) Evolutionary Condition 3)
423 Evolutionary Condition Godonov scheme Evolutionary Condition Godnov scheme Godnov scheme Central Scheme Godnov scheme Central scheme Central Scheme 9) 5 10 10 4 1.5 4
424 5 6 4 2 7 2 8 6 2 1 C ± = v ± c s C +, C, v, c s 3 2 2 5 10 14 g/cm 3 100 6 3 7 X-Y 8
425 2 4 SASI 2 5, 6)
426 4 7 9) SASI SASI= SASI SASI SASI 7 SASI SASI SASI SASI 5 Spiral Arm Spiral Arm 9 9
427 5 SASI SASI 6 6 6 6 2 6 2 2 6 2 10 10 4
428 7 SASI VAC SASI SASI SASI 7, 8) SASI SASI SASI SASI Vortical-Acoustic Cycle (VAC) 7 VAC 10, 11) VAC SASI WKB
429 2 Papaloizou-Pringle Instability VAC VAC VAC WKB WKB VAC VAC 12) VAC SASI 8 SASI SASI SASI SASI SASI 5 Spiral Arm 2 SASI SASI SASI 13) SASI SASI SASI 1) : Black Hole SASI,, 103, 109, (2010) 2) :, (2007) 3) Inoue, T. and Inutsuka, S.: Evolutionary Conditions in Dissipative MHD Systems Revisited, Progress of Theoretical Physics, Vol. 118, No. 1, pp. 47-58 (2007) 4) Kurganov, A. and Tadmor, E.: New High-Resolution Central Schemes for Nonlinear Conservation Laws and Convection-Diffusion Equations, Journal of Computational Physics, Volume 160, Issue 1, pp. 241-282 (2000) 5) Nobuta, H. and Hanawa, T.: Instability of accretion flow with a shock wave, Publications of the Astronomical Society of Japan, vol. 46, no. 3, p. 257-265 (1994) 6) Nakayama, K.: Dynamical Instability of Standing Shock Waves in Adiabatic Accretion Flows and Wind Flows, Monthly Notices of the Royal Astronomical Society, Vol. 270, NO. 4/OCT15, P. 871, (1994)
430 7) Nagakura, H. and Yamada, S. : General Relativistic Hydrodynamic Simulations and Linear Analysis of the Standing Accretion Shock Instability around a Black Hole, The Astrophysical Journal, Volume 689, Issue 1, pp. 391-406. (2008) 8) Nagakura, H. and Yamada, S. : The Standing Accretion Shock Instability in the Disk Around the Kerr Black Hole, The Astrophysical Journal, Volume 696, Issue 2, pp. 2026-2035 (2009) 9) Nagakura, H., Yamamoto, Y., and Yamada, S. : Semidynamical approach to the shock revival in corecollapse supernovae, arxiv:1209.0596 10) Foglizzo, T. : Non-radial instabilities of isothermal Bondi accretion with a shock: Vortical-acoustic cycle vs. post-shock acceleration, Astronomy and Astrophysics, v.392, p.353-368 (2002) 11) Gu, W. and Foglizzo, T. : Non-axisymmetric instabilities in shocked accretion flows with differential rotation, Astronomy and Astrophysics, v.409, p.1-7 (2003) 12) Blondin, J M. and Mezzacappa, A. : The Spherical Accretion Shock Instability in the Linear Regime, The Astrophysical Journal, Volume 642, Issue 1, pp. 401-409. 13) Nagakura, H., Takahashi, R. : Direct Time Radio Variability Induced by Non-Axisymmetric Standing Accretion Shock Instability: Implications for M87, The Astrophysical Journal, Volume 711, Issue 1, pp. 222-227 (2010)