Bulletin of the American Physical Society
49th Annual Meeting of the Division of Plasma Physics
Volume 52, Number 11
Monday–Friday, November 12–16, 2007; Orlando, Florida
Session JP8: Poster Session IV: Education and Outreach; Undergraduate Research; Electron and Ion Beam/Space Charge; DIII-D I; Reversed Field Pinches; Energetic Ions and Electrons in Helicons
Tuesday, November 13, 2007
Rosen Centre Hotel Room: Grand Ballroom, 2:00pm - 5:00pm
Abstract ID: BAPS.2007.DPP.JP8.32
Abstract: JP8.00032 : Magnetic Mapping Techniques for Poloidally Diverted Tokamaks*
Preview Abstract Abstract
Resonant magnetic perturbations have recently been used to control type-I ELM instabilities by controlling the edge pressure gradient of the DIII-D tokamak. To characterize the 3D structure of the perturbed magnetic field, we have developed an efficient symplectic mapping technique based on the Hamilton Jacobi method. We first numerically determine the resonant Hamiltonian of the magnetic field lines inside DIII-D. Then the Hamilton Jacobi method is used to construct a symplectic map describing the spatial structure of the magnetic field near the separatrix. We use this map to numerically compute a number of quantitative features of the tokamak. We determine the Lyapunov exponents, describing the divergence of the field lines inside the tokamak. We also study the fractal nature of the magnetic field near the divertor plates. The results are compared with other methods of numerical approximation as well as analytic techniques.
*Supported by the US DOE under a National Undergraduate Fusion Fellowship Program, DE-FG02-05ER54809 and DE-FC02-04ER54698.
To cite this abstract, use the following reference: http://meetings.aps.org/link/BAPS.2007.DPP.JP8.32
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