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Two-dimensional magneto-hydrodynamic description of field reversed configuration

Li Lu-Lu Zhang Hua Yang Xian-Jun

Two-dimensional magneto-hydrodynamic description of field reversed configuration

Li Lu-Lu, Zhang Hua, Yang Xian-Jun
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  • Magnetized target fusion (MTF) is an alternative approach to fusion, of which the plasma lifetime and density are those between inertial confinement fusion and magnetic confinement fusion. Field-reversed configuration (FRC) is a candidate target plasma of MTF. In this paper, a two-dimensional magneto-hydrodynamic code MPF-2D is developed, and it is used to simulate the formation process of FRC on experimental devices FRX series at Los Alamos National Laboratory. In addition, design parameters of FRC on Yingguang-1 device are also evaluated, which will be constructed in 2015 at the Institute of Fluid Physics, China Academy of Engineering Physics.
    • Funds: Project supported by the National Natural Science Foundation of China (Grant Nos. 11105005, 11175026, 11175028).
    [1]

    Wan B N 2008 Sci. Fund. China 22 1 (in Chinese) [万宝年 2008 中国科学基金 22 1]

    [2]

    Zhang J 1999 Physics 28 142 (in Chinese) [张杰 1999 物理 28 142]

    [3]

    Pei W B, Zhu S P 2009 Physics 38 559 (in Chinese) [裴文兵, 朱少平 2009 物理 38 559]

    [4]

    Brumfiel G Nature News 2012-12-11

    [5]

    Slutz S A, Vesey R A 2012 Phys. Rev. Lett. 108 025003

    [6]

    Department of Energy, U.S. 2012 NationaI Nuclear Security Administration's Path Forward to Achieving Ignition in the Inertial Confinement Fusion Program

    [7]

    Zaripov M M, Khaybullin I B, Shtyrkov E I 1976 Sov. Phys. Usp. 19 1032

    [8]

    Lindemuth I R, Kirkpatrick R C 1983 Nucl. Fusion 23 263

    [9]

    Tuszewski M 1988 Nucl. Fusion 28 2033

    [10]

    Green T S 1960 Phys. Rev. Lett. 5 297

    [11]

    Wright J K, Phillips N J 1960 J. Nucl. Energy Part C 1 240

    [12]

    Taccetti J M, Intrator T P, Wurden G A, Zhang S Y, Aragonez R, Assmus P N, Bass C M, Carey C, de Vries S A, Fienup W J, Furno I, Hsu S C, Kozar M P, Langner M C, Liang J, Maqueda R J, Martinez R A, Sanchez P G, Schoenberg K F, Scott K J, Siemon R E, Tejero E M, Trask E H, Tuszewski M, Waganaar W J 2003 Rev. Sci. Instrum. 74 4314

    [13]

    Binderbauer M W, Guo H Y, Tuszewski M, et al. 2010 Phys. Rev. Lett. 105 045003

    [14]

    Yamada M, Ono Y, Hayakawa A, Katsurai M 1990 Phys. Rev. Lett. 65 721

    [15]

    Slough J T, Miller K E 2000 Phys. Rev. Lett. 85 1444

    [16]

    Siemon R E, Bartsch R R 1980 Proceedings of the 3rd Symposium on the Physics and Technology of Compact Toroids in the Magnetic Fusion Energy Program (Los Alamos: Los Alamos National Scientific Laboratory) LA-8700-C

    [17]

    Armstrong W T, Linford R K, Lipson J, Platts D A, Sherwood E G 1981 Phys. Fluids 24 2068

    [18]

    Intrator T P, Park J Y, Degnan J H, Furno S I, Grabowski C, Hsu S C, Ruden E L, Sanchez P G, Taccetti J M, Tuszewski M, Waganaar W J, Wurden G A, Zhang S Y, Wang Z 2004 IEEE Trans. Plasma Sci. 32 152

    [19]

    Sun Q Z, Fang D F, Liu W, Qin W D, Jia Y S, Zhao X M, Han W H 2013 Acta Phys. Sin. 62 078407 (in Chinese) [孙奇志, 方东凡, 刘伟, 秦卫东, 贾月松, 赵小明, 韩文辉 2013 物理学报 62 078407]

    [20]

    Yamada M, Kulsrud R, Ji H 2010 Rev. Mod. Phys. 82 603

    [21]

    Yamada M, Ren Y, Ji H, Breslau J, Gerhardt S, Kulsrud R, Kuritsyn A 2006 Phys. Plasmas 13 052119

    [22]

    Ono Y, Yamada M, Akao T, Tajima T, Matsumoto R 1996 Phys. Rev. Lett. 76 3328

    [23]

    Brown M 1999 Phys. Plasmas 6 1717

    [24]

    Rej D J, Tuszewski M 1984 Phys. Fluids 27 1514

    [25]

    Dahlin J E, Scheffel J 2004 Phys. Scr. 70 310

    [26]

    Wang M Y, Miley G H 1979 Nucl. Fusion 19 39

    [27]

    Semenov V N, Sosnin N V 1981 Sov. J. Plasma Phys. 7 180

    [28]

    Hsiao M Y, Chiang P R 1990 Phys. Fluids B 2 106

    [29]

    Milroy R D, Brackbill J U 1982 Phys. Fluids 25 775

    [30]

    Guo H Y, Binderbauer M W, Barnes D, et al. 2011 Phys. Plasmas 18 056110

    [31]

    Barnes D C, Aydemir A Y, Anderson D V, Shestakov A I, Schnack D D 1980 Proceedings of the 3rd Symposium on the Physics and Technology of Compact Toroids in the Magnetic Fusion Energy Program (Los Alamos: Los Alamos National Scientific Laboratory) LA-8700-C

    [32]

    Bames D C, Schnack D D, Milroy R D 1986 Bull. Am. Phys. Soc. 31 1488

    [33]

    Sovinec C R, Glasser A H, Gianakon T A, Barnes D C, Nebel R A, Kruger S E, Schnack D D, Plimpton S J, Tarditi A, Chu M S 2004 J. Comput. Phys. 195 355

    [34]

    Guo H Y, Hoffman A L, Milroy R D 2007 Phys. Plasmas 14 112502

    [35]

    Cohen S A, Berlinger B, Brunkhorst C, Brooks A, Ferraro N, Lundberg D P, Roach A, Glasser A H 2007 Phys. Rev. Lett. 98 145002

    [36]

    Makomaski A H, Pietrzyk Z A 1980 Phys. Fluids 23 379

    [37]

    Davidson R C, Gladd N T 1975 Phys. Fluids 18 1327

    [38]

    Davidson R C, Krall N A 1977 Nucl. Fusion 17 1313

    [39]

    Carter T A, Ji H, Trintchouk F, Yamada M, Kulsrud R M 2002 Phys. Rev. Lett. 88 015001

    [40]

    Hirt C W, Amsden A A, Cook J L 1997 J. Comput. Phys. 135 203

    [41]

    Kershaw D S 1981 J. Comput. Phys. 39 375

    [42]

    Winslow A W 1963 Equipotential Zoning of Two-Dimensional Meshes (Livermore: Lawrence Livermore National Laboratory) UCRL-7312

    [43]

    Winslow A W 1981 Adaptive Mesh Zoning by Equipotential Method (Livermore: Lawrence Livermore National Laboratory) UCID-19062

    [44]

    Margolin L G, Shashkov M 2002 Second-Order Sign-Preserving Remapping on General Grids (Los Alamos: Los Alamos National Scientific Laboratory) LA-UR-02-525

    [45]

    Cochrane J C, Armstrong W T, Lipson J, Tuszewski M 1981 Observations of Separatrix Motion During the Formation of a Field-reversed Configuration (Los Alamos: Los Alamos National Scientific Laboratory) LA-8716-MS

  • [1]

    Wan B N 2008 Sci. Fund. China 22 1 (in Chinese) [万宝年 2008 中国科学基金 22 1]

    [2]

    Zhang J 1999 Physics 28 142 (in Chinese) [张杰 1999 物理 28 142]

    [3]

    Pei W B, Zhu S P 2009 Physics 38 559 (in Chinese) [裴文兵, 朱少平 2009 物理 38 559]

    [4]

    Brumfiel G Nature News 2012-12-11

    [5]

    Slutz S A, Vesey R A 2012 Phys. Rev. Lett. 108 025003

    [6]

    Department of Energy, U.S. 2012 NationaI Nuclear Security Administration's Path Forward to Achieving Ignition in the Inertial Confinement Fusion Program

    [7]

    Zaripov M M, Khaybullin I B, Shtyrkov E I 1976 Sov. Phys. Usp. 19 1032

    [8]

    Lindemuth I R, Kirkpatrick R C 1983 Nucl. Fusion 23 263

    [9]

    Tuszewski M 1988 Nucl. Fusion 28 2033

    [10]

    Green T S 1960 Phys. Rev. Lett. 5 297

    [11]

    Wright J K, Phillips N J 1960 J. Nucl. Energy Part C 1 240

    [12]

    Taccetti J M, Intrator T P, Wurden G A, Zhang S Y, Aragonez R, Assmus P N, Bass C M, Carey C, de Vries S A, Fienup W J, Furno I, Hsu S C, Kozar M P, Langner M C, Liang J, Maqueda R J, Martinez R A, Sanchez P G, Schoenberg K F, Scott K J, Siemon R E, Tejero E M, Trask E H, Tuszewski M, Waganaar W J 2003 Rev. Sci. Instrum. 74 4314

    [13]

    Binderbauer M W, Guo H Y, Tuszewski M, et al. 2010 Phys. Rev. Lett. 105 045003

    [14]

    Yamada M, Ono Y, Hayakawa A, Katsurai M 1990 Phys. Rev. Lett. 65 721

    [15]

    Slough J T, Miller K E 2000 Phys. Rev. Lett. 85 1444

    [16]

    Siemon R E, Bartsch R R 1980 Proceedings of the 3rd Symposium on the Physics and Technology of Compact Toroids in the Magnetic Fusion Energy Program (Los Alamos: Los Alamos National Scientific Laboratory) LA-8700-C

    [17]

    Armstrong W T, Linford R K, Lipson J, Platts D A, Sherwood E G 1981 Phys. Fluids 24 2068

    [18]

    Intrator T P, Park J Y, Degnan J H, Furno S I, Grabowski C, Hsu S C, Ruden E L, Sanchez P G, Taccetti J M, Tuszewski M, Waganaar W J, Wurden G A, Zhang S Y, Wang Z 2004 IEEE Trans. Plasma Sci. 32 152

    [19]

    Sun Q Z, Fang D F, Liu W, Qin W D, Jia Y S, Zhao X M, Han W H 2013 Acta Phys. Sin. 62 078407 (in Chinese) [孙奇志, 方东凡, 刘伟, 秦卫东, 贾月松, 赵小明, 韩文辉 2013 物理学报 62 078407]

    [20]

    Yamada M, Kulsrud R, Ji H 2010 Rev. Mod. Phys. 82 603

    [21]

    Yamada M, Ren Y, Ji H, Breslau J, Gerhardt S, Kulsrud R, Kuritsyn A 2006 Phys. Plasmas 13 052119

    [22]

    Ono Y, Yamada M, Akao T, Tajima T, Matsumoto R 1996 Phys. Rev. Lett. 76 3328

    [23]

    Brown M 1999 Phys. Plasmas 6 1717

    [24]

    Rej D J, Tuszewski M 1984 Phys. Fluids 27 1514

    [25]

    Dahlin J E, Scheffel J 2004 Phys. Scr. 70 310

    [26]

    Wang M Y, Miley G H 1979 Nucl. Fusion 19 39

    [27]

    Semenov V N, Sosnin N V 1981 Sov. J. Plasma Phys. 7 180

    [28]

    Hsiao M Y, Chiang P R 1990 Phys. Fluids B 2 106

    [29]

    Milroy R D, Brackbill J U 1982 Phys. Fluids 25 775

    [30]

    Guo H Y, Binderbauer M W, Barnes D, et al. 2011 Phys. Plasmas 18 056110

    [31]

    Barnes D C, Aydemir A Y, Anderson D V, Shestakov A I, Schnack D D 1980 Proceedings of the 3rd Symposium on the Physics and Technology of Compact Toroids in the Magnetic Fusion Energy Program (Los Alamos: Los Alamos National Scientific Laboratory) LA-8700-C

    [32]

    Bames D C, Schnack D D, Milroy R D 1986 Bull. Am. Phys. Soc. 31 1488

    [33]

    Sovinec C R, Glasser A H, Gianakon T A, Barnes D C, Nebel R A, Kruger S E, Schnack D D, Plimpton S J, Tarditi A, Chu M S 2004 J. Comput. Phys. 195 355

    [34]

    Guo H Y, Hoffman A L, Milroy R D 2007 Phys. Plasmas 14 112502

    [35]

    Cohen S A, Berlinger B, Brunkhorst C, Brooks A, Ferraro N, Lundberg D P, Roach A, Glasser A H 2007 Phys. Rev. Lett. 98 145002

    [36]

    Makomaski A H, Pietrzyk Z A 1980 Phys. Fluids 23 379

    [37]

    Davidson R C, Gladd N T 1975 Phys. Fluids 18 1327

    [38]

    Davidson R C, Krall N A 1977 Nucl. Fusion 17 1313

    [39]

    Carter T A, Ji H, Trintchouk F, Yamada M, Kulsrud R M 2002 Phys. Rev. Lett. 88 015001

    [40]

    Hirt C W, Amsden A A, Cook J L 1997 J. Comput. Phys. 135 203

    [41]

    Kershaw D S 1981 J. Comput. Phys. 39 375

    [42]

    Winslow A W 1963 Equipotential Zoning of Two-Dimensional Meshes (Livermore: Lawrence Livermore National Laboratory) UCRL-7312

    [43]

    Winslow A W 1981 Adaptive Mesh Zoning by Equipotential Method (Livermore: Lawrence Livermore National Laboratory) UCID-19062

    [44]

    Margolin L G, Shashkov M 2002 Second-Order Sign-Preserving Remapping on General Grids (Los Alamos: Los Alamos National Scientific Laboratory) LA-UR-02-525

    [45]

    Cochrane J C, Armstrong W T, Lipson J, Tuszewski M 1981 Observations of Separatrix Motion During the Formation of a Field-reversed Configuration (Los Alamos: Los Alamos National Scientific Laboratory) LA-8716-MS

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  • Received Date:  12 October 2013
  • Accepted Date:  01 April 2014
  • Published Online:  05 August 2014

Two-dimensional magneto-hydrodynamic description of field reversed configuration

  • 1. Institute of Applied Physics and Computational Mathematics, Beijing 100094, China
Fund Project:  Project supported by the National Natural Science Foundation of China (Grant Nos. 11105005, 11175026, 11175028).

Abstract: Magnetized target fusion (MTF) is an alternative approach to fusion, of which the plasma lifetime and density are those between inertial confinement fusion and magnetic confinement fusion. Field-reversed configuration (FRC) is a candidate target plasma of MTF. In this paper, a two-dimensional magneto-hydrodynamic code MPF-2D is developed, and it is used to simulate the formation process of FRC on experimental devices FRX series at Los Alamos National Laboratory. In addition, design parameters of FRC on Yingguang-1 device are also evaluated, which will be constructed in 2015 at the Institute of Fluid Physics, China Academy of Engineering Physics.

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