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

3. Outline: Fortran Model of cloud core by Li and Shu Discuss column density My simulation How to compare with observors Conclusion

4. Magnetized singular isothermal toroids ZHI-YUN LI AND FRANK H.SHU 1996

5. column density= dl

6. H 0 =0 Theta=0 o H 0 =0 Theta=30 o H 0 =0 Theta=60 o H 0 =0 Theta=90 o

7. What’s n / H o ? N=4H o H o is a nondimensional parameter,which characterizes the proportion of support provided against self-gravity by poloidal magnetic fields relative to that of gas pressure.

8. H 0 =0.25 Theta=0 o H 0 =0.25 Theta=30 o H 0 =0.25 Theta=60 o H 0 =0.25 Theta=90 o

9. H 0 =0.5 Theta=0 o H 0 =0.5 Theta=30 o H 0 =0.5 Theta=60 o H 0 =0.5 Theta=90 o

10. H 0 =1 Theta=0 o H 0 =1 Theta=30 o H 0 =1 Theta=60 o H 0 =1 Theta=90 o

11. H 0 =1.5 Theta=0 o H 0 =1.5 Theta=30 o H 0 =1.5 Theta=60 o H 0 =1.5 Theta=90 o

12. n H o Column density at center 0 0 5.017854667*10 23 (cm -2 ) 1 0.25 4.916614410*10 23 (cm -2 ) 2 0.5 5.389714749*10 23 (cm -2 ) 4 1.0 6.738817213*10 23 (cm -2 ) 6 1.5 8.240783125*10 23 (cm -2 ) The column density of the cloud core’s center

13. H o =0 a/b=1.00007449 H o =0.25 a/b=1.50855809

14. H o =0.5 a/b=1.85135098 H o =1 a/b=2.27861084

15. H o =1.5 a/b=2.53273911 H o a/b 01.00007449 0.251.50855809 0.51.85135098 1.02.27861084 1.52.53273911

17. Average: =10 o,20 o,30 o,40 o, 50 o,60 o,70 o,80 o,90 o WRONG

18. A=r 2 =2r2r2 =cos -1 q q is between 0 and 1.0 cos 1 2

19. Conclusion: What I did *familiar with fortran *how to calculate the ratio of a/b (using q) Future work *how to compare with observations

20. Appreciation: Tony Minho Jeremy NaOMi Takakuwa Pin Gao Summer students ^____^ All my friend here