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Numerical Algorithms

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27.06.2019 | Original Paper

Energy-preserving algorithm for gyrocenter dynamics of charged particles

verfasst von: Ruili Zhang, Jian Liu, Hong Qin, Yifa Tang

Erschienen in: Numerical Algorithms | Ausgabe 4/2019

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Abstract

Gyrocenter dynamics of charged particles plays a fundamental and important role in plasma physics, which requires accuracy and conservation in a long-time simulation. Variational symplectic algorithms and canonicalized symplectic algorithms have been developed for gyrocenter dynamics. However, variational symplectic methods are always unstable, and canonicalized symplectic methods need coordinates transformation case by case, which is usually difficult to find. Based on the fact that the Hamiltonian function describing the energy of the system is invariant, we develop energy-preserving algorithms for gyrocenter dynamics systematically using the discrete gradient method. The given integrators have significant advantages in preserving energy and efficiency over long-time simulations, compared with non-symplectic methods and canonicalized symplectic algorithms.

Vorheriger Artikel Error control Gaussian collocation software for boundary value ODEs and 1D time-dependent PDEs

Nächster Artikel Split-step cubic B-spline collocation methods for nonlinear Schrödinger equations in one, two, and three dimensions with Neumann boundary conditions

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Titel: Energy-preserving algorithm for gyrocenter dynamics of charged particles
verfasst von: Ruili Zhang
Jian Liu
Hong Qin
Yifa Tang
Publikationsdatum: 27.06.2019
Verlag: Springer US
Erschienen in: Numerical Algorithms / Ausgabe 4/2019
Print ISSN: 1017-1398
Elektronische ISSN: 1572-9265
DOI: https://doi.org/10.1007/s11075-019-00739-1

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