application of radiation transfer model to simulated molecular clouds chuang,hui-wen supervisor:...

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Application of Radiation Transfer Model to Simulated Molecular Clouds Chuang,Hui-Wen Supervisor: Allen,A nthony Helper:Minho Choi Date:Aug27, 2002

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Page 1: Application of Radiation Transfer Model to Simulated Molecular Clouds Chuang,Hui-Wen Supervisor: Allen,Anthony Helper:Minho Choi Date:Aug27, 2002

Application of Radiation Transfer Model to

Simulated Molecular Clouds Chuang,Hui-Wen

Supervisor: Allen,AnthonyHelper:Minho ChoiDate:Aug27, 2002

Page 2: Application of Radiation Transfer Model to Simulated Molecular Clouds Chuang,Hui-Wen Supervisor: Allen,Anthony Helper:Minho Choi Date:Aug27, 2002

Outline:

FortranModel of cloud core by Li and ShuDiscuss column densityMy simulationHow to compare with observorsConclusion

Page 3: Application of Radiation Transfer Model to Simulated Molecular Clouds Chuang,Hui-Wen Supervisor: Allen,Anthony Helper:Minho Choi Date:Aug27, 2002

Magnetized singular isothermal toroidsZHI-YUN LI AND FRANK H.SHU 1996

Page 4: Application of Radiation Transfer Model to Simulated Molecular Clouds Chuang,Hui-Wen Supervisor: Allen,Anthony Helper:Minho Choi Date:Aug27, 2002

column density= dl

Page 5: Application of Radiation Transfer Model to Simulated Molecular Clouds Chuang,Hui-Wen Supervisor: Allen,Anthony Helper:Minho Choi Date:Aug27, 2002

H0=0Theta=0o

H0=0

Theta=30o

H0=0

Theta=60o

H0=0

Theta=90o

Page 6: Application of Radiation Transfer Model to Simulated Molecular Clouds Chuang,Hui-Wen Supervisor: Allen,Anthony Helper:Minho Choi Date:Aug27, 2002

What’s n / Ho ?

N=4Ho

Ho is a nondimensional parameter ,which characterizes the proportion of support provided against self-gravity by poloidal magnetic fields relative to that of gas pressure.

Page 7: Application of Radiation Transfer Model to Simulated Molecular Clouds Chuang,Hui-Wen Supervisor: Allen,Anthony Helper:Minho Choi Date:Aug27, 2002

H0=0.25

Theta=0o

H0=0.25

Theta=30o

H0=0.25

Theta=60o

H0=0.25

Theta=90o

Page 8: Application of Radiation Transfer Model to Simulated Molecular Clouds Chuang,Hui-Wen Supervisor: Allen,Anthony Helper:Minho Choi Date:Aug27, 2002

H0=0.5

Theta=0o

H0=0.5

Theta=30o

H0=0.5

Theta=60o

H0=0.5

Theta=90o

Page 9: Application of Radiation Transfer Model to Simulated Molecular Clouds Chuang,Hui-Wen Supervisor: Allen,Anthony Helper:Minho Choi Date:Aug27, 2002

H0=1

Theta=0o

H0=1

Theta=30o

H0=1

Theta=60o

H0=1

Theta=90o

Page 10: Application of Radiation Transfer Model to Simulated Molecular Clouds Chuang,Hui-Wen Supervisor: Allen,Anthony Helper:Minho Choi Date:Aug27, 2002

H0=1.5

Theta=0o

H0=1.5

Theta=30o

H0=1.5

Theta=60o

H0=1.5

Theta=90o

Page 11: Application of Radiation Transfer Model to Simulated Molecular Clouds Chuang,Hui-Wen Supervisor: Allen,Anthony Helper:Minho Choi Date:Aug27, 2002

n Ho Column density at center

0 0 5.017854667*1023 (cm-2)

1 0.25 4.916614410*1023 (cm-2)

2 0.5 5.389714749*1023 (cm-2)

4 1.0 6.738817213*1023 (cm-2)

6 1.5 8.240783125*1023 (cm-2)

The column density of the cloud core’s center

Page 12: Application of Radiation Transfer Model to Simulated Molecular Clouds Chuang,Hui-Wen Supervisor: Allen,Anthony Helper:Minho Choi Date:Aug27, 2002

Ho=0 a/b=1.00007449

Ho=0.25 a/b=1.50855809

Page 13: Application of Radiation Transfer Model to Simulated Molecular Clouds Chuang,Hui-Wen Supervisor: Allen,Anthony Helper:Minho Choi Date:Aug27, 2002

Ho=0.5

a/b=1.85135098

Ho=1

a/b=2.27861084

Page 14: Application of Radiation Transfer Model to Simulated Molecular Clouds Chuang,Hui-Wen Supervisor: Allen,Anthony Helper:Minho Choi Date:Aug27, 2002

Ho=1.5

a/b=2.53273911

Ho a/b

0 1.00007449

0.25 1.50855809

0.5 1.85135098

1.0 2.27861084

1.5 2.53273911

Page 15: Application of Radiation Transfer Model to Simulated Molecular Clouds Chuang,Hui-Wen Supervisor: Allen,Anthony Helper:Minho Choi Date:Aug27, 2002
Page 16: Application of Radiation Transfer Model to Simulated Molecular Clouds Chuang,Hui-Wen Supervisor: Allen,Anthony Helper:Minho Choi Date:Aug27, 2002

Average:

=10o,20o,30o,40o,50o,60o,70o,80o,90o

WRONG

Page 17: Application of Radiation Transfer Model to Simulated Molecular Clouds Chuang,Hui-Wen Supervisor: Allen,Anthony Helper:Minho Choi Date:Aug27, 2002

A=r2 ddsin

=2 r2 dsin

=cos-1q

q is between 0 and 1.0

cos

1

2

Page 18: Application of Radiation Transfer Model to Simulated Molecular Clouds Chuang,Hui-Wen Supervisor: Allen,Anthony Helper:Minho Choi Date:Aug27, 2002

Conclusion:

What I did *familiar with fortran *how to calculate the ratio of a/b (using q)

Future work *how to compare with observations

Page 19: Application of Radiation Transfer Model to Simulated Molecular Clouds Chuang,Hui-Wen Supervisor: Allen,Anthony Helper:Minho Choi Date:Aug27, 2002

Appreciation:

TonyMinhoJeremyNaOMiTakakuwaPin GaoSummer students ^____^All my friend here