Speeding-up direct implicit particle-in-cell simulations in bounded plasma by obtaining future electric field through explicitly propulsion of particles

doi:10.1088/1674-1056/acf449

中国物理B ›› 2023, Vol. 32 ›› Issue (12): 125204-125204.doi: 10.1088/1674-1056/acf449

Speeding-up direct implicit particle-in-cell simulations in bounded plasma by obtaining future electric field through explicitly propulsion of particles

Haiyun Tan(谭海云)^1,2, Tianyuan Huang(黄天源)^1,2, Peiyu Ji(季佩宇)^2,3, Mingjie Zhou(周铭杰)^1,2, Lanjian Zhuge(诸葛兰剑)⁴, and Xuemei Wu(吴雪梅)^1,2,†

1 School of Physical Science and Technology & Collaborative Innovation Center of Suzhou Nano Science and Technology, Soochow University, Suzhou 215006, China;
2 Key Laboratory of Advanced Optical Manufacturing Technologies of Jiangsu Province & Key Laboratory of Modern Optical Technologies of Education Ministry of China, Soochow University, Suzhou 215006, China;
3 School of Optoelectronic Science and Engineering, Soochow University, Suzhou 215006, China;
4 Analysis and Testing Center, Soochow University, Suzhou 215123, China

收稿日期:2023-06-07 修回日期:2023-07-25 接受日期:2023-08-28 出版日期:2023-11-14 发布日期:2023-11-30
通讯作者: Xuemei Wu E-mail:xmwu@suda.edu.cn
基金资助:
Project supported by the National Key Research and Development Program of China (Grant No.2022YFE03050001), also partly by the National Natural Science Foundation of China (Grant No.12175160), and the Project Funded by the Priority Academic Program Development of Jiangsu Higher Education Institutions (PAPD).

Speeding-up direct implicit particle-in-cell simulations in bounded plasma by obtaining future electric field through explicitly propulsion of particles

Haiyun Tan(谭海云)^1,2, Tianyuan Huang(黄天源)^1,2, Peiyu Ji(季佩宇)^2,3, Mingjie Zhou(周铭杰)^1,2, Lanjian Zhuge(诸葛兰剑)⁴, and Xuemei Wu(吴雪梅)^1,2,†

1 School of Physical Science and Technology & Collaborative Innovation Center of Suzhou Nano Science and Technology, Soochow University, Suzhou 215006, China;
2 Key Laboratory of Advanced Optical Manufacturing Technologies of Jiangsu Province & Key Laboratory of Modern Optical Technologies of Education Ministry of China, Soochow University, Suzhou 215006, China;
3 School of Optoelectronic Science and Engineering, Soochow University, Suzhou 215006, China;
4 Analysis and Testing Center, Soochow University, Suzhou 215123, China

Received:2023-06-07 Revised:2023-07-25 Accepted:2023-08-28 Online:2023-11-14 Published:2023-11-30
Contact: Xuemei Wu E-mail:xmwu@suda.edu.cn
Supported by:
Project supported by the National Key Research and Development Program of China (Grant No.2022YFE03050001), also partly by the National Natural Science Foundation of China (Grant No.12175160), and the Project Funded by the Priority Academic Program Development of Jiangsu Higher Education Institutions (PAPD).

摘要/Abstract

摘要： The direct implicit particle-in-cell is a powerful kinetic method for researching plasma characteristics. However, it is time-consuming to obtain the future electromagnetic field in such a method since the field equations contain time-dependent matrix coefficients. In this work, we propose to explicitly push particles and obtain the future electromagnetic field based on the information about the particles in the future. The new method retains the form of implicit particle pusher, but the future field is obtained by solving the traditional explicit equation. Several numerical experiments, including the motion of charged particle in electromagnetic field, plasma sheath, and free diffusion of plasma into vacuum, are implemented to evaluate the performance of the method. The results demonstrate that the proposed method can suppress finite-grid-instability resulting from the coarse spatial resolution in electron Debye length through the strong damping of high-frequency plasma oscillation, while accurately describe low-frequency plasma phenomena, with the price of losing the numerical stability at large time-step. We believe that this work is helpful for people to research the bounded plasma by using particle-in-cell simulations.

关键词: particle-in-cell, direct implicit simulation, finite-grid-instability

Abstract: The direct implicit particle-in-cell is a powerful kinetic method for researching plasma characteristics. However, it is time-consuming to obtain the future electromagnetic field in such a method since the field equations contain time-dependent matrix coefficients. In this work, we propose to explicitly push particles and obtain the future electromagnetic field based on the information about the particles in the future. The new method retains the form of implicit particle pusher, but the future field is obtained by solving the traditional explicit equation. Several numerical experiments, including the motion of charged particle in electromagnetic field, plasma sheath, and free diffusion of plasma into vacuum, are implemented to evaluate the performance of the method. The results demonstrate that the proposed method can suppress finite-grid-instability resulting from the coarse spatial resolution in electron Debye length through the strong damping of high-frequency plasma oscillation, while accurately describe low-frequency plasma phenomena, with the price of losing the numerical stability at large time-step. We believe that this work is helpful for people to research the bounded plasma by using particle-in-cell simulations.

Key words: particle-in-cell, direct implicit simulation, finite-grid-instability

中图分类号: (High-frequency and RF discharges)

52.80.Pi

52.27.Aj (Single-component, electron-positive-ion plasmas) 52.65.Rr (Particle-in-cell method)

Haiyun Tan(谭海云), Tianyuan Huang(黄天源), Peiyu Ji(季佩宇), Mingjie Zhou(周铭杰), Lanjian Zhuge(诸葛兰剑), and Xuemei Wu(吴雪梅). Speeding-up direct implicit particle-in-cell simulations in bounded plasma by obtaining future electric field through explicitly propulsion of particles[J]. 中国物理B, 2023, 32(12): 125204-125204.

参考文献

[1] Lieberman M A and Lichtenberg A J 2005 Principles of Plasma Discharges and Materials Processing, 2nd edn. (New York: Wiley)
[2] Liu Y X, Zhang Q Z, Zhao K, Zhang Y R, Gao F, Song Y H and Wang Y N 2022 Chin. Phys. B. 31 085202
[3] Birdsall C K and Langdon A B 2005 Plasma physics via computer simulation (Taylor and Francis)
[4] Birdsall C K 1991 IEEE Trans. Plasma Sci. 19 65
[5] Gudmundsson J T 2020 Plasma Sources Sci. Technol. 29 113001
[6] Guo C Z, Wu H, Peng Y L, Wang Z J, Jiang W and Zhang Y 2022 J. Phys. D: Appl. Phys. 55 465202
[7] Wang Y G, Ma X Q, Bouwman D, Liu Z R, Ebert U and Zhang X N 2022 Plasma Sources Sci. Technol. 31 105015
[8] Zuo C Y, Gao F, Dai Z L and Wang Y N 2018 Acta Phys. Sin. 67 225201 (in Chinese)
[9] Kawamura E, Birdsall C K and Vahedi V 2000 Plasma Sources Sci. Technol. 9 413
[10] Deluzet F, Fubiani G, Garrigues L, Guillet C and Narski J 2022 ESAIM: M2AN 56 1809
[11] Juhasz Z, Durian J, Derzsi A, Matejcik S, Donko Z and Hartmann P 2021 Comput. Phys. Commun. 263 107913
[12] Yu K M, Kumar P, Yuan S H, Cheng A Q and Samulyak R 2022 Comput. Phys. Commun. 277 108396
[13] Wang H Y, Jiang W and Wang Y N 2009 Comput. Phys. Commun. 180 1305
[14] Adam J C, Gourdin-Serveniere A and Langdon A B 1982 J. Comput. Phys. 47 229
[15] Taccogna F and Minelli P 2018 Phys. Plasmas 25 061208
[16] Tonneau R, Pflug A and Lucas S 2020 Plasma Sources Sci. Technol. 29 115007
[17] Szabo J, Warner N, Martinez-Sanchez M and Batishchev O 2014 J. Propul. Power. 30 197
[18] Revel A, Minea T and Costin C 2018 Plasma Sources Sci. Technol. 27 105009
[19] Welch D R, Rose D V, Clark R E, Genoni T C and Hughes T P 2004 Comput. Phys. Commun. 164 183
[20] Markidis S, Lapenta G and Rizwan-uddin 2010 Math. Comput. Simulat. 80 1509
[21] Vahedi V, DiPeso G, Birdsall C K, Lieberman M A and Rognlien T D 1993 Plasma Sources Sci. Technol. 2 261
[22] Eremin D 2022 J. Comput. Phys. 452 110934
[23] Gonzalez-Herrero D, Micera A, Boella E, Park J and Lapenta G 2019 Comput. Phys. Commun. 236 153
[24] Lapenta G 2017 J. Comput. Phys. 334 349
[25] Lei L, Jin X L, Li J B, Li L X and Li B 2022 Phys. Plasmas 29 073904
[26] Garrigues L, Du Montcel B T, Fubiani G, Bertomeu F, Deluzet F and Narski J 2021 J. Appl. Phys. 129 153303
[27] Tskhakaya D, Matyash K, Schneider R and Taccogna F 2007 Contrib. Plasma Phys. 47 563
[28] Friedman A 1990 J. Comput. Phys. 90 292
[29] Langdon A B, Cohen B I and Friedman A 1983 J. Comput. Phys. 51 107
[30] Cohen B I, Langdon A B and Friedman A 1982 J. Comput. Phys. 46 15
[31] Bai J W, Cao Y, Chu Y C and Zhang X 2018 Comput. Math. Appl. 75 1887
[32] Dendy R O 1990 Plasma dynamics (Oxford University Press)
[33] Isaacson E and Keller H B 1994 Analysis of numerical methods (Courier Corporation)
[34] Liu H T, Quan L L, Chen Q, Zhou S J and Cao Y 2020 Phys. Rev. E 101 043307
[35] Friedman A, Parker S E, Ray S L and Birdsall C K 1991 J. Comput. Phys. 96 54
[36] Ryabinkin A N, Serov A O, Pal A F, Mankelevich Y A, Rakhimov A T and Rakhimova T V 2021 Plasma Sources Sci. Technol. 30 055009

Speeding-up direct implicit particle-in-cell simulations in bounded plasma by obtaining future electric field through explicitly propulsion of particles

Speeding-up direct implicit particle-in-cell simulations in bounded plasma by obtaining future electric field through explicitly propulsion of particles

PDF (PC)

赞

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 15

Metrics

本文评价

推荐阅读 0

[1]	Yao-Ting Wang(汪耀庭), Xin-Li Sun(孙鑫礼), Lan-Yue Luo(罗岚月), Zi-Ming Zhang(张子明), He-Ping Li(李和平), Dong-Jun Jiang(姜东君), and Ming-Sheng Zhou(周明胜). Theoretical analyses on the one-dimensional charged particle transport in a decaying plasma under an electrostatic field[J]. 中国物理B, 2023, 32(9): 95201-095201.
[2]	Shijie Zhang(张世杰), Weimin Zhou(周维民), Yan Yin(银燕), Debin Zou(邹德滨), Na Zhao(赵娜), Duan Xie(谢端), and Hongbin Zhuo(卓红斌). Intense low-noise terahertz generation by relativistic laser irradiating near-critical-density plasma[J]. 中国物理B, 2023, 32(3): 35201-035201.
[3]	Jia-Xiang Gao(高嘉祥), Meng Liu(刘梦), and Wei-Min Wang(王伟民). Efficient ion acceleration driven by a Laguerre-Gaussian laser in near-critical-density plasma[J]. 中国物理B, 2023, 32(10): 105202-105202.
[4]	Jian-Hong Hao(郝建红), Bi-Xi Xue(薛碧曦), Qiang Zhao(赵强), Fang Zhang(张芳), Jie-Qing Fan(范杰清), and Zhi-Wei Dong(董志伟). Ion-focused propagation of a relativistic electron beam in the self-generated plasma in atmosphere[J]. 中国物理B, 2022, 31(6): 64101-064101.
[5]	Shengxing Han(韩圣星), Huanyu Wang(王焕宇), and Xinliang Gao(高新亮). Electron acceleration during magnetic islands coalescence and division process in a guide field reconnection[J]. 中国物理B, 2022, 31(2): 25202-025202.
[6]	Gui-Qin Yin(殷桂琴), Jing-Jing Wang(王兢婧), Shan-Shan Gao(高闪闪), Yong-Bo Jiang(姜永博), and Qiang-Hua Yuan(袁强华). Discharge characteristic of very high frequency capacitively coupled argon plasma[J]. 中国物理B, 2021, 30(9): 95204-095204.
[7]	Bi-Xi Xue(薛碧曦), Jian-Hong Hao(郝建红), Qiang Zhao(赵强), Fang Zhang(张芳), Jie-Qing Fan(范杰清), and Zhi-Wei Dong(董志伟). Physical properties of relativistic electron beam during long-range propagation in space plasma environment[J]. 中国物理B, 2021, 30(10): 104103-104103.
[8]	黄楷, 陆全明, 王荣生, 王水. Spontaneous growth of the reconnection electric field during magnetic reconnection with a guide field: A theoretical model and particle-in-cell simulations[J]. 中国物理B, 2020, 29(7): 75202-075202.
[9]	卢肖勇, 袁程, 张小章, 张志忠. Hybrid-PIC/PIC simulations on ion extraction by electric field in laser-induced plasma[J]. 中国物理B, 2020, 29(4): 45201-045201.
[10]	马艺荣, 李烈娟, 段文山. Numerical simulation on modulational instability of ion-acoustic waves in plasma[J]. 中国物理B, 2019, 28(2): 25201-025201.
[11]	沈众辰, 陈民, 张国博, 罗辑, 翁苏明, 远晓辉, 刘峰, 盛政明. Acceleration and radiation of externally injected electrons in laser plasma wakefield driven by a Laguerre-Gaussian pulse[J]. 中国物理B, 2017, 26(11): 115204-115204.
[12]	王凤超. Dynamic study of compressed electron layer driven by linearly polarized laser[J]. 中国物理B, 2016, 25(5): 54102-054102.
[13]	王虹宇, 孙鹏, 姜巍, 周杰, 谢柏松. Implicit electrostatic particle-in-cell/Monte Carlo simulation for the magnetized plasma: Algorithms and application in gas-inductive breakdown[J]. 中国物理B, 2015, 24(6): 65207-065207.
[14]	樊玉伟, 王晓玉, 赫亮, 钟辉煌, 张建德. A tunable magnetically insulated transmission line oscillator[J]. 中国物理B, 2015, 24(3): 35203-035203.
[15]	杨超, 印茂伟, 尚丽平, 韦爱勇. Three-dimensional PIC/MCC simulation of electron deposition in JAEA 10 A ion sources[J]. , 2014, 23(9): 95201-095201.