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 CP8: Poster Session II: Reconnection and Non-Neutral I; Spheromaks and MCX; MFC Diagnostics; Simulation: Algorithm; Simulation: Kinetic/Edge
Monday, November 12, 2007
Rosen Centre Hotel Room: Grand Ballroom, 2:00pm - 5:00pm
Abstract ID: BAPS.2007.DPP.CP8.89
Abstract: CP8.00089 : Mathematical Properties of the Flowing MHD Equilibrium Equations*
Preview Abstract Abstract
Experiments have observed significant toroidal and poloidal flows in their plasmas [1-3]. This has led to the need for a flowing equilibrium solver that is equipped to handle both fixed and free boundaries. In order to achieve this, the mathematical properties of the flow equilibrium equations need to be better understood. Difficulty arises when analyzing these equations since they are not only fully non-linear, but also the differential operator itself is coupled to an algebraic equation. We discuss the method and process used to formulate the equilibrium problem with flow effects in a computationally tractable form and the methods available to solve the resulting equations. Initial results from an implementation of the equilibrium equations are also presented. \newline \newline  S.K. Erents, A.V. Chankin, G.F. Matthews, P.C. Stangeby, Plasma Phys. Controlled Fusion 42, 905 (2000). \newline  T.S. Taylor, H.St. John, A.D. Turnbull, et al. Plasma Phys. Controlled Fusion 36 B229 (1994). \newline  M. Ono, S.M. Kaye, Y.K.M. Peng et al. Nucl. Fusion 40, 557 (2000).
*Supported by DoE Grant DE-FG02-05ER84192.
To cite this abstract, use the following reference: http://meetings.aps.org/link/BAPS.2007.DPP.CP8.89
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