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

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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. 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. 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).

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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)