中国物理B ›› 2022, Vol. 31 ›› Issue (6): 65206-065206.doi: 10.1088/1674-1056/ac4233

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A nonlinear wave coupling algorithm and its programing and application in plasma turbulences

Yong Shen(沈勇)1,†, Yu-Hang Shen(沈煜航)2, Jia-Qi Dong(董家齐)3,1, Kai-Jun Zhao(赵开君)4, Zhong-Bing Shi(石中兵)1, and Ji-Quan Li(李继全)1   

  1. 1 Southwestern Institute of Physics, Chengdu 610041, China;
    2 School of Information and Communication Engineering, University of Electronic Science and Technology of China, Chengdu 611731, China;
    3 Institute for Fusion Theory and Simulation, Zhejiang University, Hangzhou 310013, China;
    4 College of Nuclear Science and Engineer, East China University of Technology, Nanchang 330013, China
  • 收稿日期:2021-09-08 修回日期:2021-12-01 接受日期:2021-12-11 出版日期:2022-05-17 发布日期:2022-06-07
  • 通讯作者: Yong Shen E-mail:sheny@swip.ac.cn
  • 基金资助:
    Project supported by the National Key Research and Development Program of China (Grant No. 2017YFE0301200), the National Natural Science Foundation of China (Grant Nos. 12075077 and 12175055), and the Science and Technology Project of Sichuan Pprovince, China (Grant No. 2020YJ0464).

A nonlinear wave coupling algorithm and its programing and application in plasma turbulences

Yong Shen(沈勇)1,†, Yu-Hang Shen(沈煜航)2, Jia-Qi Dong(董家齐)3,1, Kai-Jun Zhao(赵开君)4, Zhong-Bing Shi(石中兵)1, and Ji-Quan Li(李继全)1   

  1. 1 Southwestern Institute of Physics, Chengdu 610041, China;
    2 School of Information and Communication Engineering, University of Electronic Science and Technology of China, Chengdu 611731, China;
    3 Institute for Fusion Theory and Simulation, Zhejiang University, Hangzhou 310013, China;
    4 College of Nuclear Science and Engineer, East China University of Technology, Nanchang 330013, China
  • Received:2021-09-08 Revised:2021-12-01 Accepted:2021-12-11 Online:2022-05-17 Published:2022-06-07
  • Contact: Yong Shen E-mail:sheny@swip.ac.cn
  • Supported by:
    Project supported by the National Key Research and Development Program of China (Grant No. 2017YFE0301200), the National Natural Science Foundation of China (Grant Nos. 12075077 and 12175055), and the Science and Technology Project of Sichuan Pprovince, China (Grant No. 2020YJ0464).

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摘要： The fully developed turbulence can be regarded as a nonlinear system, with wave coupling inside, which causes the nonlinear energy to transfer, and drives the turbulence to develop further or be suppressed. Spectral analysis is one of the most effective methods to study turbulence system. In order to apply it to the study of the nonlinear wave coupling process of edge plasma turbulence, an efficient algorithm based on spectral analysis technology is proposed to solve the nonlinear wave coupling equation. The algorithm is based on a mandatory temporal static condition with the nonideal spectra separated from the ideal spectra. The realization idea and programing flow are given. According to the characteristics of plasma turbulence, the simulation data are constructed and used to verify the algorithm and its implementation program. The simulation results and experimental results show the accuracy of the algorithm and the corresponding program, which can play a great role in the studying the energy transfer in edge plasma turbulences. As an application, the energy cascade analysis of typical edge plasma turbulence is carried out by using the results of a case calculation. Consequently, a physical picture of the energy transfer in a kind of fully developed turbulence is constructed, which confirms that the energy transfer in this turbulent system develops from lower-frequency region to higher-frequency region and from linear growing wave to damping wave.

关键词: bispectral analysis, wave coupling, algorithm, plasma turbulence, energy cascade

Abstract: The fully developed turbulence can be regarded as a nonlinear system, with wave coupling inside, which causes the nonlinear energy to transfer, and drives the turbulence to develop further or be suppressed. Spectral analysis is one of the most effective methods to study turbulence system. In order to apply it to the study of the nonlinear wave coupling process of edge plasma turbulence, an efficient algorithm based on spectral analysis technology is proposed to solve the nonlinear wave coupling equation. The algorithm is based on a mandatory temporal static condition with the nonideal spectra separated from the ideal spectra. The realization idea and programing flow are given. According to the characteristics of plasma turbulence, the simulation data are constructed and used to verify the algorithm and its implementation program. The simulation results and experimental results show the accuracy of the algorithm and the corresponding program, which can play a great role in the studying the energy transfer in edge plasma turbulences. As an application, the energy cascade analysis of typical edge plasma turbulence is carried out by using the results of a case calculation. Consequently, a physical picture of the energy transfer in a kind of fully developed turbulence is constructed, which confirms that the energy transfer in this turbulent system develops from lower-frequency region to higher-frequency region and from linear growing wave to damping wave.

Key words: bispectral analysis, wave coupling, algorithm, plasma turbulence, energy cascade

中图分类号:  (Plasma simulation)

  • 52.65.-y
52.35.Ra (Plasma turbulence) 52.35.-g (Waves, oscillations, and instabilities in plasmas and intense beams)