Unconditionally stable Crank-Nicolson algorithm with enhanced absorption for rotationally symmetric multi-scale problems in anisotropic magnetized plasma

doi:10.23919/JSEE.2023.000072

Journal of Systems Engineering and Electronics ›› 2024, Vol. 35 ›› Issue (1): 65-73.doi: 10.23919/JSEE.2023.000072

• ELECTRONICS TECHNOLOGY • Previous Articles

Unconditionally stable Crank-Nicolson algorithm with enhanced absorption for rotationally symmetric multi-scale problems in anisotropic magnetized plasma

Yi WEN¹^,²^,*(), Junxiang WANG²(), Hongbing XU¹()

¹ School of Automatic Engineering, University of Electronic Science and Technology of China, Chengdu 611731, China
² Beijing Institute of Aerospace Systems Engineering, Beijing 100076, China

Received:2022-12-02 Accepted:2023-05-18 Online:2024-02-18 Published:2024-03-05
Contact: Yi WEN E-mail:luciswen@163.com;wangjunxiang87928@126.com;hbxu@uestc.edu.cn
About author:
WEN Yi was born in 1990. She received her master’s degree in instrument science and technology from University of Electronic Science and Technology of China (UESTC), Chengdu, China, in 2016. She is perusing her Ph.D. degree from UESTC. She is an engineer in Beijing Institute Aerospace Systems Engineering, Beijing, China. Her current research interests include computation electromagnetics and its application in complex media. E-mail: luciswen@163.com

WANG Junxiang was born in 1987. He received his M.Sc. degree in instrument science and technology from the School of Automation, Northwestern Polytechnical University. He is working at Beijing Institute of Astronautical Systems Engineering. His research interests are controlled modelling and radar. E-mail: wangjunxiang87928@126.com

XU Hongbing was born in 1966. He received his M.S. degree in automatic control from Southeast University, Nanjing, China, in 1988 and Ph.D. degree in automation from University of Electronic Science and Technology of China, Chengdu, China, in 2000. He is a professor with the School of Automation Engineering, Electronic Science and Technology of China. His research interests are intelligent information processing and control technologies. E-mail: hbxu@uestc.edu.cn

Abstract

Abstract:

Large calculation error can be formed by directly employing the conventional Yee’s grid to curve surfaces. In order to alleviate such condition, unconditionally stable Crank-Nicolson Douglas-Gunn (CNDG) algorithm with is proposed for rotationally symmetric multi-scale problems in anisotropic magnetized plasma. Within the CNDG algorithm, an alternative scheme for the simulation of anisotropic plasma is proposed in body-of-revolution domains. Convolutional perfectly matched layer (CPML) formulation is proposed to efficiently solve the open region problems. Numerical example is carried out for the illustration of effectiveness including the efficiency, resources, and absorption. Through the results, it can be concluded that the proposed scheme shows considerable performance during the simulation.

Key words: anisotropic magnetized plasma, body-of-revolution (BOR), Crank-Nicolson Douglas-Gunn (CNDG), finite-difference time-domain (FDTD), perfectly matched layer (PML), rotationally symmetric multi-scale problems

Yi WEN, Junxiang WANG, Hongbing XU. Unconditionally stable Crank-Nicolson algorithm with enhanced absorption for rotationally symmetric multi-scale problems in anisotropic magnetized plasma[J]. Journal of Systems Engineering and Electronics, 2024, 35(1): 65-73.

Figures/Tables 7

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Algorithm	CFLN	Iteration step	Time/s	Memory/MB	Reduction/%
FDTD-PML	1	65536	21.7	2.8	−
CNAD-PML	1	65536	84.0	3.1	−287.1
CNAD-PML	8	8192	13.9	3.1	36.0
CNDG-PML	1	65536	92.1	3.3	−324.4
CNDG-PML	8	8192	15.4	3.3	29.1

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Unconditionally stable Crank-Nicolson algorithm with enhanced absorption for rotationally symmetric multi-scale problems in anisotropic magnetized plasma

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