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旋转圆柱等离子体中撕裂模和Kelvin-Helmholtz不稳定性的激发特性

毕海亮 魏来 范冬梅 郑殊 王正汹

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旋转圆柱等离子体中撕裂模和Kelvin-Helmholtz不稳定性的激发特性

毕海亮, 魏来, 范冬梅, 郑殊, 王正汹

Excitations of tearing mode and Kelvin-Helmholtz mode in rotating cylindrical plasmas

Bi Hai-Liang, Wei Lai, Fan Dong-Mei, Zheng Shu, Wang Zheng-Xiong
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  • 采用约化的磁流体力学模型,数值研究了柱位形等离子体中q剖面和极向旋转剖面对q=1撕裂模不稳定性和Kelvin-Helmholtz(K-H)不稳定性的影响.随着旋转强度的增加,m/n=1/1模被逐渐抑制,而高阶谐波模式(如m/n=2/2,m/n=3/3等)会经历四个区间:撕裂模失稳区间、撕裂模致稳区间、稳定窗口区间和K-H不稳定性激发区间.更进一步,我们发现,m/n=1/1模的增长率随旋转强度的改变与剪切层所处位置有关,并且剪切层分布在有理面内外的结果基本一致;然而高阶谐波模式却没有此类现象.另外,有理面处磁剪切越小,撕裂模越容易被剪切流抑制,并且越容易激发K-H不稳定性.
    The influences of safety factor q profile and poloidal rotation profile on the q=1 tearing and Kelvin-Helmholtz (K-H) instabilities are investigated numerically by using a magnetohydrodynamic model in cylindrical geometry. With increasing the poloidal rotation, the m/n=1/1 mode is suppressed, while four domains exist for the high-order harmonic modes (such as m/n=2/2, m/n=3/3):the destabilized tearing mode domain, stabilized tearing mode domain, stable-window domain, and unstable K-H mode domain. Further, we find that the growth rate of the m/n=1/1 mode is related to the location of shear layer. Roles of shear flow in the m/n=1/1 mode for the shear layer located t on both the inner and outer sides of rational surface are almost the same, which is different from the scenarios of high-order harmonic modes. In addition, the smaller the magnetic shear on the rational surface, the smaller the growth rate of tearing mode is, and the more easily the K-H instability is excited.
      通信作者: 魏来, laiwei@dlut.edu.cn;zxwang@dlut.edu.cn ; 王正汹, laiwei@dlut.edu.cn;zxwang@dlut.edu.cn
    • 基金项目: 国家自然科学基金(批准号:11322549,11275043,11305027)、大连市杰出人才基金(批准号:2015R001)和中央高校基本科研业务费专项资金(批准号:DUT14RC(3)157,DUT15YQ103)资助的课题.
      Corresponding author: Wei Lai, laiwei@dlut.edu.cn;zxwang@dlut.edu.cn ; Wang Zheng-Xiong, laiwei@dlut.edu.cn;zxwang@dlut.edu.cn
    • Funds: Project supported by the National Natural Science Foundation of China (Grant Nos. 11322549, 11275043, 11305027), Funds of Dalian Young Talents (Grant No. 2015R001), and the Fundamental Research Funds for the Central Universities, China (Grant Nos. DUT14RC(3)157, DUT15YQ103).
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    Chen W, Ding X T, Yu L M, Ji X Q, Shi Z B, Zhang Y P, Zhong W L, Yuan G L, Dong J Q, Yang Q W, Liu Yi, Yan L W, Zhou Y, Jiang M, Li W, Song X M, Chen S Y, Duan X R, the HL-2A Team 2013Nucl. Fusion 53 113010

    [35]

    Chen W, Ding X T, Liu Yi, Yang Q W, Ji X Q, Isobe1 M, Yuan G L, Zhang Y P, Zhou Y, Song X Y, Dong Y B, Li W, Zhou J, Lei G J, Cao J Y, Deng W, Song X M, Duan X R, HL-2A Team 2010Nucl. Fusion 50 084008

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    Sauter O, Westerhof E, Mayoral M L, Alper B, Belo P A, Buttery R J, Gondhalekar A, Hellsten T, Hender T C, Howell D F, Johnson T, Lamalle P, Mantsinen M J, Milani F, Nave M F F, Nguyen F, Pecquet A L, Pinches S D, Podda S, Rapp J 2002Phys. Rev. Lett. 88 105001

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    Nave M F F, Lazzaro E, Coelho R, Belo P, Borba D, Buttery R J, Nowak S, Serra F, EFDA-JET Contributors 2003Nucl. Fusion 43 179

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    Furth H P, Killeen J, Rosenbluth M N 1963Phys. Fluids 6 459

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    Wang Z X, Wei L, Wang X 2012Phys. Plasmas 19 062108

    [40]

    Wei L, Wang Z X 2013Phys. Plasmas 20 012512

    [41]

    Fan D M, Wei L, Wang Z X, Zheng S, Duan P 2014Phys. Plasmas 21 092515

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    Bierwage A, Benkadda S, Hamaguchi S, Wakatani M 2005Phys. Plasmas 12 082504

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  • [1]

    Fu S Y, Pu Z Y, Liu Z X 1995J. Geophys. Res. 100 5657

    [2]

    Hasegawa H, Fujimoto M, Phan T D, Rème H, Balogh A, Dunlop M W, Hashimoto C, TanDokoro R 2004Nature 430 755

    [3]

    Li J H, Ma Z W 2010J. Geophys. Res. 115 A09216

    [4]

    Burrell K H 1997Phys. Plasmas 4 1499

    [5]

    Terry P W 2000Rev. Mod. Phys. 72 109

    [6]

    Lin Z, Hahm T S, Lee W W, Tang W M, White R B 1998Science 281 1835

    [7]

    Diamond P H, Itoh S I, Itoh K, Hahm T S 2005Plasma Phys. Controlled Fusion 47 R35

    [8]

    Gerhardt S P, Brenman D P, Buttery R, La Haye R J, Sabbagh S, Strait E, Bell M, Fredrickson E, Gates D, LeBlanc B, Menard J, Stutman D, Tritz K, Yuh H 2009Nucl. Fusion 49 032003

    [9]

    La Haye R J, Pretty C C, Politzer P A, DⅢ-D Team 2011Nucl. Fusion 51 053013

    [10]

    Chen X L, Morrison P J 1990Phys. Fluids B 2 495

    [11]

    Lau Y Y, Liu C S 1980Phys. Fluids 23 939

    [12]

    Miura A, Prichett P L 1982J. Geophys. Res. 87 7431

    [13]

    Chandrasekhar S 1961Hydrodynamic and Hydromagnetic Stability (Oxford:Clarendon)

    [14]

    Tatsuno T, Dorland W 2006Phys. Plasmas 13 092107

    [15]

    Takeji S, Tokuda S, Fujita T, Suzuki T, Isayama A, Ide S, Ishii Y, Kamada Y, Koide Y, Matsumoto T, Oikawa T, Ozeki T, Sakamoto Y, JT-60 Team 2002Nucl. Fusion 42 5

    [16]

    Chen W, Ding X T, Yang Q W, Liu Y, Ji X Q, Zhang Y P, Zhou J, Yuan G L, Sun H J, Li W, Zhou Y, Huang Y, Dong J Q, Feng B B, Song X M, Shi Z B, Liu Z T, Song X Y, Li L C, Duan X R, Liu Y, HL-2A Team 2010Phys. Rev. Lett. 105 185004

    [17]

    Edwards A W, Campbell D J, Engelhardt W W, Fahrbach H U, Gill R D, Granetz R S, Tsuji S, Tubbing B J D, Weller A, Wesson J, Zasche D 1986Phys. Rev. Lett. 57 210

    [18]

    Kadomtsev B B 1975Sov. J. Plasma Phys. 1 389

    [19]

    Wesson J A 1986Plasma Phys. Controlled Fusion 28 243

    [20]

    Hastie R J 1998Astrophys. Space Sci. 256 177

    [21]

    Aydemir A Y, Wiley J C, Ross D W 1989Phys. Fluids B 1 774

    [22]

    Lichtenberg A J, Itoh K, Itoh S I, Fukuyama A 1992Nucl. Fusion 32 495

    [23]

    Wang X, Bhattacharjee A 1993Phys. Rev. Lett. 70 1627

    [24]

    Qu Q 1995Nucl. Fusion 35 1012

    [25]

    Porcelli F, Boucher D, Rosenbluth M N 1996Plasma Phys. Controlled Fusion 38 2163

    [26]

    Matsumoto T, Tokuda S, Kishimoto Y, Takizuka T, Naitou H 1999J. Plasma Fusion Res. 75 1188

    [27]

    Chapman I T, Pinches S D, Graves J P, Akers R J, Appel L C, Budny R V, Coda S, Conway N J, de Bock M, Eriksson L G, Hastie R J, Hender T C, Huysmans G T A, Johnson T, Koslowski H R, Krämer-Flecken A, Lennholm M, Liang Y, Saarelma S, Sharapov S E, Voitsekhovitch I, MAST and TEXTOR Teams and JET EFDA Contributors 2007Plasma Phys. Controlled Fusion 49 B385

    [28]

    Halpern F D, Ltjens H, Luciani J F 2011Phys. Plasmas 18 102501

    [29]

    Nagayama Y, Taylor G, Yamada M, Fredrickson E D, Janos A C, McGuire K M 1996Nucl. Fusion 36 521

    [30]

    Yamaguchi S, Igami H, Tanaka H, Maekawa T 2004Plasma Phys. Controlled Fusion 46 1163

    [31]

    Chen W, Ding X T, Liu Yi, Yuan G L, Zhang Y P, Dong Y B, Song X Y, Zhou J, Song X M, Deng W, Yang Q W, Ji X Q, Duan X R, Liu Y, the HL-2A Team 2009Nucl. Fusion 49 075022

    [32]

    Igochine V, Dumbrajs O, Zohm H, Flaws A, ASDEX Upgrade Team 2007Nucl. Fusion 47 23

    [33]

    Sun Y, Wan B, Hu L, Chen K, Shen B, Mao J 2009Plasma Phys. Controlled Fusion 51 065001

    [34]

    Chen W, Ding X T, Yu L M, Ji X Q, Shi Z B, Zhang Y P, Zhong W L, Yuan G L, Dong J Q, Yang Q W, Liu Yi, Yan L W, Zhou Y, Jiang M, Li W, Song X M, Chen S Y, Duan X R, the HL-2A Team 2013Nucl. Fusion 53 113010

    [35]

    Chen W, Ding X T, Liu Yi, Yang Q W, Ji X Q, Isobe1 M, Yuan G L, Zhang Y P, Zhou Y, Song X Y, Dong Y B, Li W, Zhou J, Lei G J, Cao J Y, Deng W, Song X M, Duan X R, HL-2A Team 2010Nucl. Fusion 50 084008

    [36]

    Sauter O, Westerhof E, Mayoral M L, Alper B, Belo P A, Buttery R J, Gondhalekar A, Hellsten T, Hender T C, Howell D F, Johnson T, Lamalle P, Mantsinen M J, Milani F, Nave M F F, Nguyen F, Pecquet A L, Pinches S D, Podda S, Rapp J 2002Phys. Rev. Lett. 88 105001

    [37]

    Nave M F F, Lazzaro E, Coelho R, Belo P, Borba D, Buttery R J, Nowak S, Serra F, EFDA-JET Contributors 2003Nucl. Fusion 43 179

    [38]

    Furth H P, Killeen J, Rosenbluth M N 1963Phys. Fluids 6 459

    [39]

    Wang Z X, Wei L, Wang X 2012Phys. Plasmas 19 062108

    [40]

    Wei L, Wang Z X 2013Phys. Plasmas 20 012512

    [41]

    Fan D M, Wei L, Wang Z X, Zheng S, Duan P 2014Phys. Plasmas 21 092515

    [42]

    Bierwage A, Benkadda S, Hamaguchi S, Wakatani M 2005Phys. Plasmas 12 082504

    [43]

    Bierwage A, Yu Q, Gnter S 2007Phys. Plasmas 14 010704

    [44]

    Bell R E, Levinton F M, Batha S H, Synakowski E J, Zarnstorff M C 1998Phys. Rev. Lett. 81 1429

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出版历程
  • 收稿日期:  2016-06-19
  • 修回日期:  2016-08-18
  • 刊出日期:  2016-11-05

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