MHD) MHD MHD 1977 MHD ApJ MHD simulation Abstract/Keywords ADS simulation ApJ MHD simulation 1982
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1 MHD) MHD MHD 1977 MHD ApJ MHD simulation Abstract/Keywords ADS simulation ApJ MHD simulation MHD simulation ApJ 39 ( 71 ) MHD simulation M2 MHD MHD MHD MHD simulation ApJ simulation MHD
2 MHD MHD MHD shock MHD vs bulk outflow MHD MHD (Tajima and Shibata 1997)
3 MHD 100 km / 2 t D = L / η 10 L9 T6 s / Spitzer η = ηspitzer 10 T6 cm / s, L9 = L /10 cm, T6 = T /10 K MHD t A = L / VA = 10sec t D t A 13 Rm = td / t A = LVA / η = driven reconnection; Sato and Hayashi 1979 Ugai 1982, Yokoyama and Shibata 1994) MHD (Ugai and Tsuda 1977, Ugai 1982, Yokoyama and Shibata 1994) Petschek Sweet-Parker ( 10 4 ) Petschek Petschek-like MHD
4 MHD MHD MHD ;, Goldreich-Julian density kt 8 T n l mfp = 10 2 cm n e 10 K 10 cm / 2 m ivc B T rli = cm eb G K dive div( VxB / c) 2 3 B V L 9 3 ngj = = 10 cm << ncorona cm 4πe 4πe 100G 10 cm / s 10 cm G 10 5 cm 1 MHD MHD MHD
5 10 MHD Alfven mode, slow mode, fast mode MHD MHD MHD Balsara 1998, Ryu and Jones 1995, Nakajima and Hanawa 1996, Sano 2000 MHD fast mode s slow mode 2 MHD Alfven mode MHD MHD
6 MHD MHD MHD MHD MHD CIP CIP-MOCCT CIP CIP (Yabe and Aoki 1991, ) CIP Cubic Interpolated Pseudoparticle/Propagation (Yabe et al. 2001) Constrained Interpolation Profile CIP f f + u = 0 t x u= f(x,t)=f( u t, t) a
7 CIP (a) (b) (c) (b) (d)cip 1999 CIP CIP u= f f + u = 0 t x 3 CIP 2 MHD u= CIP MHD Vlasov
8 Lax-Wendroff CIP Nakamura et al ( 1999 ) MHD MOCCT MHD CIP CIP MHD MOCCT CIP CIP CIP-MOCCT MHD MOCCT MOC Method-Of-Characteristics Stone and Norman 1992 CT Constrained Transport) Evans and Hawley 1988 CT,div B = 0 Alfven Alfven wave Method Of Characteristics=MOC Stone and Norman (1992) MHD MOCCT Stone-Norman MHD ZEUS M. Norman
9 MHD MOCCT CIP MOCCT Kudoh et al. (1999) 2.5 MHD Kudoh et al modified Lax-Wendroff scheme CIP-MOCCT scheme CIP-MOCCT scheme CIP CIP MOCCT MHD
10 CIP MOCCT MOCCT MHD Hawley and Stone 1995 (Clarke 1996) Clarke s MOCCT CMOCCT MHD MHD 5 MHD MHD Tanuma et al. (2001) 2. Shibata and Tanuma (2001 Yokoyama and Shibata (1998, 2001)
11 Alfven time B L T B 6/7 T 2/7 Shibata and Yokoyama 1999 (Kato et al. 2002, Kudoh et al. 2002, Tomisaka 2002 ) scaling Kudoh et al. 1998, Shibata and Kudoh 1999 for a review ) Koide et al. (2002) Tomisaka(2002) (Sato et al., 2003, in preparation) 10 MHD 0.1 (Hawley et al. 1995, Brandenburg et al. 1995, Matsumoto and Tajima 1995) Machida MHD MHD Sano and Inutsuka (2001) 3D tearing instability MHD additional physics (e.g., heat conduction, cosmic ray,,,) ( MHD
12 MRI saturation mechanism MHD CIP-MOCCT code MHD e.g., MHD Adaptive mesh refinement MHD Vlasov ADS Balsara, D. (1998) ApJS, 115, 119 Clarke, D. A. (1996) ApJ 457, 291 Evans, C. R. and Hawley, J. F. (1988) ApJ 332, 659 Hawley, J. F. and Stone, J. M. (1995) Comp. Phys, Comm. 89, 127 Koide, S. et al. (2002) Science 295, 1688 Kudoh, T., Matsumoto, R., Shibata, K. (1998) ApJ 508, 186 Kudoh, T., Matsumoto, R., Shibata, K. (1999) Comp. Fluid Dyn. J., 8, 56 Machida, M., Hayashi, M. R. and Matsumoto, R. (2000) ApJ 532, L67 Nakajima, Y. and Hanawa, T. (1996) ApJ 467, 321. Nakamura, T. et al. (2001) J. Comp. Phys. 174, 171 (2001) 77, 948 Ryu, D. and Jones, T. W. (1995) ApJ 442, 228 Sano, T. (2000) Ph. D. Thesis, Univ. of Tokyo Sano, T. and Inutsuka, S. (2001) ApJ 566, 148 Sato, T. and Hayashi, T. (1979) Phys. Fluids, 22, 1189 Shibata, K. and Kudoh, T. (1999) in Proc. Star Formation 1999, p. 263 Shibata, K. and Tanuma, S. (2001) Earth, Planets, and Space 53, 473 Stone, J. M. and Norman, M. L. (1992) ApJS, 80, 791 Tajima, T. and Shibata, K. (1997) Plasma Astrophysics, Addison Wesley Tanuma, S. et al. (2001) ApJ 551, 312 Tomisaka, K. (2002) ApJ 575, 306 Ugai, M. (1982) Phys. Fluids 25, 1027 Ugai, M. and Tsuda, T. (1977) J. Plasma Phys. 17, Yabe, T. and Aoki (1991) Computer Physics Communications, 66, Yabe, T., Xiao, F., and Utsumi, T. (2001) J. Comp. Phys. 169, 556 Yokoyama, T. and Shibata, K. (1994) ApJ Yokoyama, T. and Shbata, K. (2001) ApJ
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