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Energy-preserving algorithm for gyrocenter dynamics of charged particles

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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.

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Funding

This research is supported by the National Natural Science Foundation of China (NSFC-11505186, 11575185, 11575186, 11771438, 11775222), ITER-China Program (2015GB111003, 2017YFE0301700), the Fundamental Research Funds for the Central Universities (Grant No. 2017RC033, FRF-TP-16-066A1, WK2150110008), Key Research Program of Frontier Sciences CAS (QYZDB-SSW-SYS004).

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Authors and Affiliations

  1. School of Science, Beijing Jiaotong University, Beijing, 100044, China

    Ruili Zhang

  2. School of Physics, University of Science and Technology of China, Hefei, Anhui, 230026, China

    Jian Liu & Hong Qin

  3. Plasma Physics Laboratory, Princeton University, Princeton, NJ, 08543, USA

    Hong Qin

  4. LSEC, ICMSEC, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100190, China

    Yifa Tang

  5. School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing, 100049, China

    Yifa Tang

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  1. Ruili Zhang
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  2. Jian Liu
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  3. Hong Qin
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  4. Yifa Tang
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Correspondence to Jian Liu.

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Zhang, R., Liu, J., Qin, H. et al. Energy-preserving algorithm for gyrocenter dynamics of charged particles. Numer Algor 81, 1521–1530 (2019). https://doi.org/10.1007/s11075-019-00739-1

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  • DOI: https://doi.org/10.1007/s11075-019-00739-1

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