c/u_A及m_i/m_e取值对于磁重联过程的影响
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摘要
构造控制电磁场散度误差的有限差分方法,该方法结构简单,可将电磁场散度误差控制在舍入误差量级.该方法应用到GEM,得到的结果与已发表文献类似.研究双流体模型中可调参数光速和离子与电子的质量比对磁重联过程的影响.结果表明:光速增加后,净电荷的积累减少,而重联率几乎不变.离子与电子质量比增加导致电流片变薄,从而使得重联加快.
A finite difference scheme to control divergence error of electromagnetic field is proposed to study magnetic reconnection. With this simple numerical scheme, divergence errors of electromagnetic field are limited in the magnitude of rounding error. Our results are in good agreement with that in GEM. Influences of c/u_A and m_i/m_e on magnetic reconnection are also studied. It indicated that with the increase of c/u_A, net charge densities decrease while reconnection rate remains almost unchanged. The increase of m_i/m_e could lead to current sheet thinning and acceleration of reconnection.
A finite difference scheme to control divergence error of electromagnetic field is proposed to study magnetic reconnection. With this simple numerical scheme, divergence errors of electromagnetic field are limited in the magnitude of rounding error. Our results are in good agreement with that in GEM. Influences of c/u_A and m_i/m_e on magnetic reconnection are also studied. It indicated that with the increase of c/u_A, net charge densities decrease while reconnection rate remains almost unchanged. The increase of m_i/m_e could lead to current sheet thinning and acceleration of reconnection.
引文
[1] 李定,陈银华,马锦秀,等.等离子体物理学[M].北京:高等教育出版社,2006:2.
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[4] YANG Zhen,LU Xingqiang,GONG Xueyu.Stabilization of double tearing mode by external current drive[J].Chinese Journal of Computational Physics,2015,32(5):617-622.
[5] SRINIVASAN B,SHUMLAK U.Analytical and computational study of the ideal full two-fluid plasma model and asymptotic approximations for Hall-magnetohydrodynamics [J].Physics of Plasmas,2011,18(9):092113.
[6] HUANG Tao,HUANG Zhaoqin,ZHANG Jianguang,et al.Non-Darcy flow simulation of oil-water phase in low permeability reservoirs based on mimetic finite difference method[J].Chinese Journal of Computational Physics,2016,33(6):707-716.
[7] KUANG Xiaojing,WANG Daoping,ZHANG Liang,et al.Finite difference time-domain method based on high order compact scheme[J].Chinese Journal of Computational Physics,2014,31(1):91-95.
[8] MUNZ C D,OMMES P,SCHNEIDER R.A three-dimensional finite-volume solver for the Maxwell equations with divergence cleaning on unstructured meshes [J].Computer Physics Communications,2000,130(1-2):83-117.
[9] 郭硕鸿.电动力学[M].3版.北京:高等教育出版社,2008:153-158.
[10] LAGUNA A A,LANI A,DECONINCK H,et al.A fully-implicit finite-volume method for multi-fluid reactive and collisional magnetized plasmas on unstructured meshes [J].Journal of Computational Physics,2016,318:252-276.
[11] HESSE M,BIRN J,KUZNETSOVA M.Collisionless magnetic reconnection:Electron processes and transport modeling [J].Journal of Geophysical Research:Space Physics,2001,106(A3):3721-3735.
[12] SUSANTO A.Development of electromagnetic solvers for use with the two-fluid plasma algorithm[D].University of Washington,2009.
[13] JI Hantao,DAUGHTON W.Phase diagram for magnetic reconnection in heliophysical,astrophysical,and laboratory plasmas [J].Physics of Plasmas,2011.18(11):111207.
[14] BIRN J,HESSE M.Geospace environment modeling (GEM) magnetic reconnection challenge:Resistive tearing,anisotropic pressure and Hall effects [J].Journal of Geophysical Research:Space Physics,2001,106(A3):3737-3750.
[15] SHAY M A,DRAKE J F,ROGERS B N,et al.Alfvénic collisionless magnetic reconnection and the Hall term [J].Journal of Geophysical Research:Space Physics,2001,106(A3):3759-3772.
[16] 赵波,朱国全,郭俊.无碰撞磁场重联中c/vA对电子动力学的影响[C].中国地球物理学会年会,2011.
[17] MA Zhiwei,FENG Shuling.Generation of electric field and net charge in Hall reconnection [J].Chinese Physics Letters,2008,25(8):2934-2937.
[18] 冯淑玲.磁场重联系统中垂直电场和霍尔电荷的研究[D].合肥:中国科学院合肥物质科学研究院,2008.
[2] 王水,李罗权.磁场重联[M].合肥:安徽教育出版社,1999:1.
[3] BIRN J,DRAKE J F,SHAY M A,et al.Geospace environmental modeling (GEM) magnetic reconnection challenge [J].Journal of Geophysical Research:Space Physics,2001,106(A3):3715-3719.
[4] YANG Zhen,LU Xingqiang,GONG Xueyu.Stabilization of double tearing mode by external current drive[J].Chinese Journal of Computational Physics,2015,32(5):617-622.
[5] SRINIVASAN B,SHUMLAK U.Analytical and computational study of the ideal full two-fluid plasma model and asymptotic approximations for Hall-magnetohydrodynamics [J].Physics of Plasmas,2011,18(9):092113.
[6] HUANG Tao,HUANG Zhaoqin,ZHANG Jianguang,et al.Non-Darcy flow simulation of oil-water phase in low permeability reservoirs based on mimetic finite difference method[J].Chinese Journal of Computational Physics,2016,33(6):707-716.
[7] KUANG Xiaojing,WANG Daoping,ZHANG Liang,et al.Finite difference time-domain method based on high order compact scheme[J].Chinese Journal of Computational Physics,2014,31(1):91-95.
[8] MUNZ C D,OMMES P,SCHNEIDER R.A three-dimensional finite-volume solver for the Maxwell equations with divergence cleaning on unstructured meshes [J].Computer Physics Communications,2000,130(1-2):83-117.
[9] 郭硕鸿.电动力学[M].3版.北京:高等教育出版社,2008:153-158.
[10] LAGUNA A A,LANI A,DECONINCK H,et al.A fully-implicit finite-volume method for multi-fluid reactive and collisional magnetized plasmas on unstructured meshes [J].Journal of Computational Physics,2016,318:252-276.
[11] HESSE M,BIRN J,KUZNETSOVA M.Collisionless magnetic reconnection:Electron processes and transport modeling [J].Journal of Geophysical Research:Space Physics,2001,106(A3):3721-3735.
[12] SUSANTO A.Development of electromagnetic solvers for use with the two-fluid plasma algorithm[D].University of Washington,2009.
[13] JI Hantao,DAUGHTON W.Phase diagram for magnetic reconnection in heliophysical,astrophysical,and laboratory plasmas [J].Physics of Plasmas,2011.18(11):111207.
[14] BIRN J,HESSE M.Geospace environment modeling (GEM) magnetic reconnection challenge:Resistive tearing,anisotropic pressure and Hall effects [J].Journal of Geophysical Research:Space Physics,2001,106(A3):3737-3750.
[15] SHAY M A,DRAKE J F,ROGERS B N,et al.Alfvénic collisionless magnetic reconnection and the Hall term [J].Journal of Geophysical Research:Space Physics,2001,106(A3):3759-3772.
[16] 赵波,朱国全,郭俊.无碰撞磁场重联中c/vA对电子动力学的影响[C].中国地球物理学会年会,2011.
[17] MA Zhiwei,FENG Shuling.Generation of electric field and net charge in Hall reconnection [J].Chinese Physics Letters,2008,25(8):2934-2937.
[18] 冯淑玲.磁场重联系统中垂直电场和霍尔电荷的研究[D].合肥:中国科学院合肥物质科学研究院,2008.