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Title: Development of Variational Guiding Center Algorithms for Parallel Calculations in Experimental Magnetic Equilibria

Structure-preserving algorithms obtained via discrete variational principles exhibit strong promise for the calculation of guiding center test particle trajectories. The non-canonical Hamiltonian structure of the guiding center equations forms a novel and challenging context for geometric integration. To demonstrate the practical relevance of these methods, a prototypical variational midpoint algorithm is applied to an experimental magnetic equilibrium. The stability characteristics, conservation properties, and implementation requirements associated with the variational algorithms are addressed. Furthermore, computational run time is reduced for large numbers of particles by parallelizing the calculation on GPU hardware.
 [1] ;  [2] ;  [1] ;  [1]
  1. PPPL
  2. LANL
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Journal Name: Plasma Physics and Controlled Fusion: Special Issue; Conference: 2014 Joint Varenna-Lausanne International Workshop, September 1–5, 2014.
Physics of Plasmas
Research Org:
Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)
Sponsoring Org:
Contributing Orgs:
1Princeton Plasma Physics Laboratory, Princeton, NJ, 08550 USA 2Los Alamos National Laboratory, Los Alamos, NM 87545, USA and 3Department of Modern Physics, University of Science and Technology of China, Hefei, Anhui 230026, China
Country of Publication:
United States
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; Hamiltonian: Numerical methods; Particle Dynamics