Variational Symplectic Integrator for Long-Time Simulations of the Guiding-Center Motion of Charged Particles in General Magnetic Fields [electronic resource]

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Book
Language
English
Published/​Created
Washington, D.C. : United States. Dept. of Energy. Office of Science ; Oak Ridge, Tenn. : Distributed by the Office of Scientific and Technical Information, U.S. Dept. of Energy, 2008
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1 online resource (Size: 589Kb) : digital, PDF file.

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Summary note
A variational symplectic integrator for the guiding-center motion of charged particles in general magnetic fields is developed for long-time simulation studies of magnetized plasmas. Instead of discretizing the differential equations of the guiding-center motion, the action of the guiding-center motion is discretized and minimized to obtain the iteration rules for advancing the dynamics. The variational symplectic integrator conserves exactly a discrete Lagrangian symplectic structure, and has better numerical properties over long integration time, compared with standard integrators, such as the standard and variable time-step fourth order Runge-Kutta methods.
Notes
  • Published through Scitech Connect.
  • 02/11/2008.
  • "PPPL-4286."
  • "US0904420."
  • and X Guan, H Qin.
Funding information
DE-ACO2-76CHO3073
Tech. report no.
PPPL-4286
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