SciCADE 2013
International Conference on Scientific Computation and Differential Equations
September 16-20, 2013, Valladolid (Spain)

Contributed Talk

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Symplectic simulation of guiding-center motion

R. Zhang, Y. Tang and H. Qin

The guiding center motion of charged particles is the physical process that underlies the collective dynamics of magnetized plasmas. In numerical simulation for the guiding-center equation which is a Hamiltonian system with non-canonical symplectic structure, we transform it into canonical Hamiltonian system and use symplectic scheme. Compared with standard integrators, such as the fourth order Runge-Kutta method, the symplectic scheme has superior numerical properties over long integration time. This is important for modern large-scale simulation studies of fusion plasmas where it is critical to use algorithms with long-term accuracy and fidelity.

[1] K. Feng, Collected Works of Feng Kang (II), National Defence Industry Press, Beijing, 1995.
[2] H. Qin and X. Guan, Variational Symplectic Integrator for Long-Time Simulations of the Guiding-Center Motion of Charged Particles in General Magnetic Fields, Phys. Rev. Lett. 100, 035006 (2008).

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