Session RP1 - Poster Session VIII.
POSTER session, Thursday afternoon, October 30
Fran Hill Southeast Exhibit Hall, ACC
An analytic solution of the helical Grad-Shafranov equation subject to the constraints \beta=2\mu_0p/B^2\sim O(1) and q=d\Phi_T/d\Phi_P\sim O(1) is presented. The pressure profile p(\psi) and the safety factor profile q(\psi) are specified. The solution takes the form of a boundary layer problem with the inverse aspect ratio \epsilon=a/r_0 as an expansion parameter. In the core region, \psi is a function of only the major radius so the flux surfaces are vertical lines. The boundary layer is located at the wall and the Shafranov shift is of the order the minor radius. A solution with vanishing toroidal current is also presented. This condition imposes a constraint relating p(\psi) and q(\psi) such that only one profile may be independently specified. DOE Contract Number: DOE-AC02-76-CHO3073.