??

1
??????????????????
??????????????????????????? 2003?9?8??12?(????)

• ????
• ????????

2
????

• ????????????(??2002) ?????????????(??)
• ??????????????2002 ????
• http//th.nao.ac.jp/sim2002/proceedings/list.htm
• ????????????????????????????

3
??MHD(??????)????????????????
2000??????????? 2001??????????????????
?????????????

• ????
• ????????

4
??????

• 1.????
• 2.??MHD????????
• 3.??MHD????????????
• 4.??MHD???????????
• 5.??MHD??????????????????(???????)
• 6.??????????(???)?????

5
1.????

• ??MHD???????????
• ???????????????
• ???????????(MHD)
• ?????????????
• ????????????

6
??MHD????????????????????

• 1)???????????????????
• 2)??????????????????? ???????????????
• 3)????????????????????
• 4)???????????????????? ??????????????????

7
??????????

• 1)MHD?????????????????
• 2)MHD?? ??????????????????????????????
• 3)MHD?????????????????????10?????????????????
• 4)????????????????????????????(?????)????????????
  ???????

8
????

• ????????????????????????????????????????
• FORTRAN????????
• ??????????????MHD?????????????????????????????????
  ????

9
2.??MHD????????

• ??MHD??????
• ??????(AGN????????)
• ?????????
• ?????????????????????

10
??????(????????????? Cyg A with VLA)
11
??????(??????? HH1-2with HST)
12
??????(???????SS433 with ASCA)
13
???????????(?????????)
14
???????????(???????)
15
??????(Ha)(??????? Kurokawa et al. 1988)
????????????
16
???????? (??????????)
17
????????????(?????X?)
18
???????????(???????Ha)
19
?????????(SOHO/LASCO ???)
20
???????(HST)
21
????(????)
22
????????????????????
23
??????(????)??????????????????
24
??????????????????????????
25
????????
??(1999) in ??????(???????????)??
26
MHD?????

• MHD(??????) ????????????????
  ??????gtgt????????? ??????gtgt?????????
• ??????
• ????
• ???????
• ???

27
MHD?????(?)

• ?) ??????????????km??10?
• gtgt ??????????????????

28
??MHD???????

• ???? ???? (MHD??)
• ???????????????? MHD????
• ?????? ?????????
  MHD??/shock/non-MHD (??????????????)
• ?????? ?????/???????????
  (???????????/????? ??????/????)
• ????? ????(non-MHD)

29
3.??MHD???????????? (??????????????)

• ????????????????? 8????????????
  cf)?????????5??
• ????????????? ????????????????? ??????

30
?????(???????)

• ???5? ??(?)???????(v)???(p)
• ???5? ???????????

????
?????
???????
???
31
????(MHD)???(???????)

• ???8? ??(?)???????(v)???(p)???????(B)
• ???8? ???????????

????
?????
???????
???
?????
32
???MHD????

• ?? MHD
• 5?? 8??
• ?? ??????(fast mode)
• ??????(slow mode)
• ??????(Alfven mode)

33
?????(Alfven, fast, slow)
Fast mode
??
Slow mode
Group velocity diagram
34
MHD wave ????
2?? fast -, slow -, ??5???????? 2.5??/3??
fast -, Alfven -, slow -, ??7????????
35
??MHD???

• MHD??????0???????????????????????
• ??????????????????
• ??????MHD??????????????
• ??????????????????????????????MHD???????????

36
????????

• 2????2?????
• ???gt???
• ??gt???
• ???gt???

37
???????????????
38
????????????????
39
?????????????????
40
???

• ??? ????????? ??????? ??? (?????gt??)
• ??? ????????????
• ????????MHD??????
• (????????????? ???????????)
• gt?????????

41
Advanced Methods

• ?????????gt??
• CIP(-MOCCT)? gt??
• ??????(?????????)

42
CIP ?(????(?????)?1991????)????????????????????
?????????
43
Example with CIP scheme Comet Shoemaker-Levy 9
on entry into Jovian atmosphere (Yabe et al. 1994)
44
??MHD?????????????????

• ????(MHD??????????? ???)
• ????(?????????????)
• ?)??????/?????
• ????(?????????????? ???)
• gt???????!

45
??????????????????????????????

• ?????????????????????(????????????)???????????
• ??????????????????????????????????????????????

46
Amplification of Slow mode MHD wave along
vertical flux tube (Suematsu et al. 1982.
Shibata and
Suematsu 1982)
47
???????? (??????????)
48
Alfven wave model of spiculesnumerical
simulation (Kudoh-Shibata 1999)
49
Magnetically driven jet from accretion
disk (Shibata and Uchida 1986, 1990)
Magnetic field line
disk
time
50
4.??MHD???????????

• ????????????????
• ????????????????????????
• 1) ?? ??????????????? ???????(???????)
• 2) ? ???????????????????(SGI ??????????????)
• 3) ?? ???????MHD??? (CIP???)
• ??

51
Magnetic reconnectin driven by the Parker
instability (Yokoyama and Shibata 1995)
?????X???? ?????? ?????X?????
52
???????MHD???(Hayashi et al. 1996)
53
???????MHD???(Kudoh et al. 2003)
CIP-MOCCT?
54
Numerical simulation of accretion disk(Kudoh,
Matsumoto, Shibata 2002, PASJ)
Magnetorotational Instability (Balbus and Hawley
1991) leads to turbulence and reconnection
Similar to ADAF
55
Time variability of 3D magnetized accretion disk
(Kawaguchi et al. 1999, Machida et al.
2001Hawley et al. 2001, Stone et al. 2001)
56
General relativistic MHD simulation(Koide,
Shibata, Kudoh 1998,1999,2000)
Maximum Lorentz factor 2gtreal limit ?
57
??MHD???????????

• 1) ??????????????????
• 2) ????????????????????????????(e.g., Yokoyama
  and Shibata 1995)
• 3) ???????????????????????????????????????????(!
  )
• ?) scaling law (Yokoyama and Shibata 1998)
• (???????MHD????????
• ????????????)

58
???????MHD????????? (Yokoyama-Shibata
1998)Lax-Wendroff???
???? ?X???? ?????? ?????
59
?????? scaling law ???(Yokoyama and Shibata
1998, 2001)
60
?????????????????

• ?????????????????
• ????????(Yokoyama and Shibata 1998, 2001)

61
5. ??MHD?????????????????? ??1

• ?????????????????????????????????????????????????
  ?????????????????????????????????
• gt????????????????????????????????

62
??MHD?????????????????? ??2

• MHD???????????????????????????????????????????????
  ????????????????????????????
• gt????(??????)????????????????????????????????????
  ?????????????????????????????????????

63
?????????????(??1)

• ????(?????????????????)
• ???????(???????????)
• ??????????????
• ??????
• ????
• ????
• ???????
• ?????????
• ???????
• ????

64
?????????????(??2)

• ???????
• 1????2???
• ???????
• ???????
• ???????(???????????????)
• ?????(??????????????????????????????)
• ???????
• ??????

65
?????????

• 1????(MHD)????????
• ????(???????)
• ??MHD?
• ???(??????force free field)
• ???(???Parker??Weber-Davis ?? Bondi
  accretion ?)
• ??????(KH?RT?Parker?MRI)
• ???(B.C.Low?CME?, Larson-Penston ??????)
• ??

66
6.??????????(???)????? ??1

• 1) ??(??)???
• ?????????????
• ???????????????
• self-consistent ????????????????
  ????????????????
• ???????????????
• ??????????100cm
• ltlt ??????? 1?km
• (7?????????????????
• ??????? )

67
????????(???)????? ??2

• 2) ??(??)????
• ??????????(?????)????????????????????????
• ???????????(?????????)??????????????(????????)?
  ????????? ??????????????????
• ????????0.1g/cc
• ????? g/cc
• (6?????????,
• 5?????????????)

68
????????(???)????? ??3

• 3)??????
• ???????????????????????????????????????????MHD??
  ?????????????(???????)??????????(?????)?????????
  ?????????????
• ????????????????
• ?????0.1AU
• ???????1??10?AU
• (7??????????????)

69
???????????????

• ??
• MHD????????
• ???????
• ??3????????????????????