Fully Implicit Iterative Solving Method for the Fokker-Planck Equation in Tokamak Plasmas

A three dimensional bounce-averaged Fokker-Planck （FP） numerical code has been newly developed based on fully implicit iterative solving method, and relativistic effect is also included in the code. The code has been tested against various benchmark cases： Ohmic con ductivity in the presence of weak...

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Published inPlasma science & technology Vol. 16; no. 11; pp. 1000 - 1006
Main Author 郑平卫 龚学余 余俊 杜丹
Format Journal Article
LanguageEnglish
Published 01.11.2014
Subjects
Electric fields
Fokker-Planck方程
Iterative methods
Mathematical analysis
Mathematical models
Ohmic
Plasmas
Three dimensional
Tokamak devices
三维模拟
低杂波电流驱动
托卡马克等离子体
数字代码
求解方法
电子回旋电流驱动
迭代
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ISSN1009-0630
DOI10.1088/1009-0630/16/11/02

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Summary:A three dimensional bounce-averaged Fokker-Planck （FP） numerical code has been newly developed based on fully implicit iterative solving method, and relativistic effect is also included in the code. The code has been tested against various benchmark cases： Ohmic con ductivity in the presence of weak Ohmic electric field, runaway losses of electrons in the presence of strong Ohmic electric field, lower hybrid current drive and electron cyclotron current drive via two- or three-dimensional simulation. All the test cases run fast and correctly during calculations. As a result, the code provides a set of powerful tools for studying radio frequency wave heating and current drive in tokamak plasmas.
Bibliography:tokamak plasmas, Fokker-Planck equation, current drive, benchmark
A three dimensional bounce-averaged Fokker-Planck （FP） numerical code has been newly developed based on fully implicit iterative solving method, and relativistic effect is also included in the code. The code has been tested against various benchmark cases： Ohmic con ductivity in the presence of weak Ohmic electric field, runaway losses of electrons in the presence of strong Ohmic electric field, lower hybrid current drive and electron cyclotron current drive via two- or three-dimensional simulation. All the test cases run fast and correctly during calculations. As a result, the code provides a set of powerful tools for studying radio frequency wave heating and current drive in tokamak plasmas.
34-1187/TL
ZHENG Pingwei, GONG Xueyu , YU Jun, DU Dan（1.School of Environmental Protection and Safety Engineering, University of South China, Hengyang 421001, China; 2.School of Nuclear Science and Technology, University of South China, Hengyang 421001 China 3.Department of Mathematics and Physics, University of South China, Hengyang 421001, China）
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ISSN:1009-0630
DOI:10.1088/1009-0630/16/11/02