反场构形的二维磁流体力学描述

李璐璐; 张华; 杨显俊

doi:10.7498/aps.63.165202

摘要

磁化靶聚变技术作为实现纯聚变的一种途径，不需要惯性约束聚变的高初始密度（约1026 cm-3），也不需要磁约束聚变的长约束时间（秒量级），可能是一种实现纯聚变更低廉更有效的途径. 开发了一个二维磁流体力学模拟程序MPF-2D，用于描述反场构形的形成过程. 采用该程序对美国洛斯阿拉莫斯国家实验室在反场构形形成装置上形成反场构形的实验进行了二维模拟和分析，理论值与实验值符合得较好; 同时也对中国工程物理研究院流体物理研究所设计的荧光-1实验装置上形成的反场构形进行了模拟与评估，结果表明该装置上的反场构形基本达到设计指标.

关键词:

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.

Keywords:

作者及机构信息

1.
北京应用物理与计算数学研究所, 北京 100094

基金项目: 国家自然科学基金（批准号：11105005，11175026，11175028）资助的课题.

Authors and contacts

1.
Institute of Applied Physics and Computational Mathematics, Beijing 100094, China

Funds: Project supported by the National Natural Science Foundation of China (Grant Nos. 11105005, 11175026, 11175028).

参考文献

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[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
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[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 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

施引文献

[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 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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