Bulletin of the American Physical Society
64th Annual Meeting of the APS Division of Plasma Physics
Volume 67, Number 15
Monday–Friday, October 17–21, 2022; Spokane, Washington
Session PP11: Poster Session VI: In-Person, Hall A (2:00-3:30pm) and Virtual Poster Presentations (3:45-5:00pm)
MFE: Diagnostics; Edge and Pedestal; Stability; Heating; Transport, Turbulence
ASTRO: Astrophysical Plasma
2:00 PM - 5:00 PM
Wednesday, October 19, 2022
Room: Exhibit Hall A and Online
Abstract: PP11.00050 : Near-axis expansion of weakly quasisymmetric fields to all orders: numerical implementation*
Presenter:
Lanke Fu
(Princeton University)
Authors:
Lanke Fu
(Princeton University)
Eduardo Rodriguez
(Princeton University)
Amitava Bhattacharjee
(Princeton University)
The Garren-Boozer conundrum suggests that equilibrium with global quasi-symmetry (QS) probably does not exist under MHD with isotropic pressure. When expanded as power series of effective distance from magnetic axis, the governing equations become over-determined at the 3rd order. [1] However, relaxing the pressure constraint from a scalar to a Maxwell stress tensor resolves the issue, form of equilibrium allowings the construction of equilibria with global weak QS to arbitrarily high orders. [2 - 4] We demonstrate the first numerical implementation of this expansion to all orders, which enables an as well as ongoing investigations of the convergence properties and optimal truncation of our asymptotic expansions, as well as Our code enables a deeper perspective on their implications for the equilibrium problem. Our tools enable a rapid exploration of the phase space of quasisymmetric configuration to which modern machine learning methods can be applied.
*This work is supported by the DOE and the Simons Foundation.
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