PHYSICS OF GASES, PLASMAS, AND ELECTRIC DISCHARGES |
Prev
Next
|
|
|
Semi-analytical modeling of tokamak density evolution |
Shi Bing-Ren(石秉仁) |
Southwestern Institute of Physics, Chengdu 610041, China |
|
|
Abstract Tokamak plasma density evolution is generally modeled by a diffusion--convection equation in cylindrical geometry. By using a semi-analytical approach, we solve such an equation for a given diffusion coefficient and inward convection velocity as an arbitrary function of the radial position. Through variable separation, a Sturm--Liouville-type eigenvalue problem is solved, thereby constructing a complete set of orthogonal eigenfunctions. Based on the decomposition of the solution, the initial function, and the source function in these eigenfunctions, several problems of practical interest about the density evolution are analyzed. They include the density evolution, with boundary density not being zero; the density profile with internal transport barrier; the damping profile during particle source being shut-down. Results are found to be qualitatively consistent with the tokamak experiments.
|
Received: 30 July 2009
Accepted manuscript online:
|
PACS:
|
52.55.Fa
|
(Tokamaks, spherical tokamaks)
|
|
52.25.Fi
|
(Transport properties)
|
|
52.50.Dg
|
(Plasma sources)
|
|
Cite this article:
Shi Bing-Ren(石秉仁) Semi-analytical modeling of tokamak density evolution 2010 Chin. Phys. B 19 065202
|
[1] |
Fussmann G 1986 Nucl. Fusion 26 983
|
[2] |
Jiao Y M, Zhou Y, Deng Z C, Ding X T, Liu Y and Wang E Y 2005 Chin. Phys. 14 1600
|
[3] |
Xiao W W, Ding X T, Liu Z T, Yao L H, Sun H J, Duan X R, Yan L W and Yang Q W 2006 Plasma Science {\rm \& Tech. 8 133
|
[4] |
Xiao W W, Ding X T , Liu Z T, Yao L H, Sun H J, Duan X R, Yan L W and Yang Q W 2008 Plasma Science {\rm \& Tech. 10 403
|
[5] |
Zhou Q, Wan B N, Wu Z W and Huang J 2005 Chin. Phys. 14 2539
|
[6] |
Chen W, Cui Z Y, Sun P, Huang Y, Deng W, Pan Y D, Shi Z B, Zhou Y, Zheng Y Z and Yang Q W 2007 Chin. Phys. 16 {1150
|
[7] |
Shi B R, Long Y X and Li J Q 2000 Plasma Science {\rm \& Tech. 3 287
|
[8] |
Imbeaux F and Garbet X 2002 Plasma Phys. Contr. Fusion 44 1425
|
[9] |
Clemencon A, Guivarch C, Eury S P, Zou X L and Giruzzi G 2004 Phys. Plasmas 11 4998
|
[10] |
Eury S P, Harauchamps E, Zou X L and Giruzzi G 2005 Phys. Plasma 12 102511
|
[11] |
The Asdex Team 1989 Nucl. Fusion 29 1959
|
[12] |
Hawryluk R J, Anunasslam V, Barnes C W, Beer M, Bell M, Bell R, Biglari H, Bitter M, Boivin R, Bretz N L, Budny R, Bush C E, Cheng C Z, Chu T K, Cohen S A, Cowley S, Efthimion P C, Fonck R J, Fredrickson E, Furth P, Goldston R J, Greene G, Grek B, Grisham L R, Hammett G, Heidbrink W, Hill K W, Hosea J, Hulse H, Hsuan H, Janos A, Jassby D, Jobes C, Johson D W, Johson L C, Kesner J, Kieras-Philips C, Kilpatrick J, Kugel H, La Marche P H, LeBlance B, Manos D M, Mazzucato E, McCarthy M P, Mauer M, McCune C, McGuire K M, Meade D M, Medley S S, Mikkelson D R, Monticello D, Motley R, Mueller D, Nagayama Y, Navratil G A, Nazikian R, Owens K, Park H, Park W, Paul S, Perkins F, Pitcher S, Ramsey A T, Redi H, Rewoldt G, Roberts D, Roquemore A L, Rutherford P H, Sabbagh S, Schilling G, Schivell J, Schmidt G L, Scott S D, Snipes J, Stevens J, Stratton B C, Stodiek W, Synakowski E, Takase Y, Tang W, Taylor G, Terry J, Timberlake J R, Towner H H, Ulrickson M, Von Goeler S, Wielan R, Williams M, Wilson J R, Wong K L, Yamada M, Yoshikawa S, Young K M, Zarnstorff M C and Zweban S J 1991 Plasma Phys. Contr. Fusion 33 1509
|
No Suggested Reading articles found! |
|
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|
Cited |
|
|
|
|
Altmetric
|
blogs
Facebook pages
Wikipedia page
Google+ users
|
Online attention
Altmetric calculates a score based on the online attention an article receives. Each coloured thread in the circle represents a different type of online attention. The number in the centre is the Altmetric score. Social media and mainstream news media are the main sources that calculate the score. Reference managers such as Mendeley are also tracked but do not contribute to the score. Older articles often score higher because they have had more time to get noticed. To account for this, Altmetric has included the context data for other articles of a similar age.
View more on Altmetrics
|
|
|