Adaptive energy-preserving algorithms for guiding center system

Beibei ZHU; Jian LIU; Jiawei ZHANG; Aiqing ZHU; Yifa TANG

doi:10.1088/2058-6272/ac9c4a

Plasma Science and Technology > 2023 > 25(4): 045102. > DOI: 10.1088/2058-6272/ac9c4a

Beibei ZHU, Jian LIU, Jiawei ZHANG, Aiqing ZHU, Yifa TANG. Adaptive energy-preserving algorithms for guiding center system[J]. Plasma Science and Technology, 2023, 25(4): 045102. DOI: 10.1088/2058-6272/ac9c4a

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Adaptive energy-preserving algorithms for guiding center system

1.
Department of Applied Mathematics, School of Mathematics and Physics, University of Science and Technology Beijing, Beijing 100083, Peopleʼs Republic of China
2.
School of Nuclear Science and Technology, University of Science and Technology of China, Hefei 230026, Peopleʼs Republic of China
3.
Advanced algorithm Joint Lab, Shandong Computer Science Center, Qilu University of Technology, Jinan 250014, Peopleʼs Republic of China
4.
The State Key Laboratory of Scientific and Engineering Computing, The Institute of Computational Mathematics and Scientific/Engineering Computing, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, Peopleʼs Republic of China
5.
School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing 100049, Peopleʼs Republic of China

More Information

Corresponding author:
Jian LIU, E-mail: jliuphy@ustc.edu.cn
Received Date: September 04, 2022
Revised Date: September 28, 2022
Accepted Date: October 19, 2022
Available Online: December 05, 2023
Published Date: February 05, 2023

Graphical Abstract

Abstract

Abstract

We develop two types of adaptive energy preserving algorithms based on the averaged vector field for the guiding center dynamics, which plays a key role in magnetized plasmas. The adaptive scheme is applied to the Gauss Legendre's quadrature rules and time stepsize respectively to overcome the energy drift problem in traditional energy-preserving algorithms. These new adaptive algorithms are second order, and their algebraic order is carefully studied. Numerical results show that the global energy errors are bounded to the machine precision over long time using these adaptive algorithms without massive extra computation cost.
- guiding center system,
- energy-preserving methods,
- adaptive,
- energy conservation

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Acknowledgements

This research is supported by National Natural Science Foundation of China (Nos. 11901564, 11775222 and 12171466) and Geo-Algorithmic Plasma Simulator (GAPS) Project.

References (30)

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