Z箍缩内爆的MARED程序数值模拟分析

丁宁; 邬吉明; 戴自换; 张扬; 尹丽; 姚彦忠; 孙顺凯; 宁成; 束小建

doi:10.7498/aps.59.8707

摘要

MARED程序是模拟Z箍缩内爆过程的二维三温辐射磁流体力学程序,它适用于不同装置条件和不同负载参数.利用MARED程序对Z箍缩内爆进行模拟,结合丝阵Z箍缩实验分析表明:相同负载质量条件下,钨丝阵内爆产生的X射线辐射功率远大于铝丝阵产生的X射线功率;相同负载电流条件下,负载质量越大,计算得到的X射线功率越低;X射线功率随着负载电流增加而增加.MARED程序能够较好地反映Z箍缩内爆动力学过程,特别是不稳定性发展的二维图像,能够给出与不稳定性简化模型的理论分析及实验结果定性一致的演化规律.MARED程序模拟丝阵填充泡沫形成辐射场的初步计算得到了与Sandia实验室模拟Z装置上丝阵填充泡沫定性一致的结果.

关键词:

Abstract

To develop reliable numerical simulation tools is very important for the theoretical research, the experimental analysis and the load designing of Z-pinch implosions. A dedicated Z-pinch implosion physical scheme of the two-dimensional numerical simulation of three-temperature radiation magnetohydrodynamics MARED code is introduced. The results of its one-dimensional test demonstrate that the MARED code is suited for simulating implosions on different devices and in a wide range of load parameters. A combination between the simulations and the measurements of the wire-array Z-pinch experiment shows that under the same load conditions, the X-ray radiation power produced by the tungsten wire-array implosion is much higher than that generated by the aluminum wire array. With the same load current, a greater load mass gains a lower X-ray power. However, the X-ray radiation power increases with the load current. The MARED code is found to be able to reproduce the primary dynamic characteristics of the Z-pinch implosions, and the development of the instability qualitatively aecords with the simplified instability theoretical analysis and experimental results. It is also used to simulate the radiation field formation of the wire-array with filling column at the axis, and its preliminary results are qualitatively consistent with the simulation results from the Sandia laboratory.

Keywords:

wire-array load Z-pinch implosion plasma /
MARED code /
radiation magnetohydrodynamics numerical simulation /
X-ray radiation

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:10975022,10775021,10575014)、国家自然科学基金重点项目(批准号: 10635050)和国防基础科学研究计划(批准号:A1520070074)资助的课题.

Authors and contacts

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

参考文献

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[2]	Sandford T W L, Allshouse G O, Marder B M, Nash T J, Mock R C, Spielman R B, Seamen J F, McGurn J S, Jobe D, Gilliland T L, Vargas M, Struve K W, Stygar W A, Douglas M R, Matzen M K 1996 Phys. Rev. Lett. 77 5063
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[11]	Ning C, Yang Z H, Ding N 2002 High Power Laser and Particle Beams 14 877 (in Chinese) [宁成、杨震华、丁宁 2002 强激光与粒子束 14 877]
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[14]	Ding N, Wu J M, Yang Z H, Fu S W, Ning C, Liu Q, Shu X J, Zhang Y, Dai Z H 2008 High Power Laser and Particle Beams 20 212 (in Chinese) [丁宁、邬吉明、杨震华、符尚武、宁成、刘全、束小建、张扬、戴自换 2008 强激光与粒子束 20 212]
[15]	Sanford T W L, Olson R E, Mock R C, Chandler G A, Leeper R J, Nash T J, Ruggles L E, Simpson W W, Struve K W, Peterson D L, Bowers R L, Matuska W 2000 Phys. Plasmas 7 4669
[16]	Fu S W, Shen L J, Huang S K 1998 High Technol. Lett. 8 53 (in Chinese) [符尚武、沈隆钧、黄书科 1998 高技术通讯 8 53]
[17]	Thornhill J W, Whitney K G, Deeney C, LePell P D 1994 Phys. Plasmas 1 321
[18]	Lee K T, Kim S H, Kim D, Lee T N 1996 Phys. Plasmas 3 1340
[19]	Deeney C, Coverdale C A, Douglas M R 2001 Laser and Particle Beams 19 497
[20]	Sanford T W L, Mock R C, Spielman R B, Peterson D L, Mosher D, Roderick N F 1998 Phys. Plasmas 5 3737
[21]	Douglas M R, Deeney C, Roderick N F 1998 Phys. Plasmas 5 4183
[22]	Haines M G 1998 IEEE Trans. Plasma Sci. 26 1275
[23]	Lebedev S V, Beg F N, Bland S N, Chittenden J P, Dangor A E, Haines M G, Kwek K H, Pikuz S A, Shelkovenko T A 2001 Phys. Plasmas 8 3734
[24]	Matzen M K 1997 Phys. Plasmas 4 1519
[25]	Leeper R J, Alberts T E, Asay J R, Baca P M, Baker K L, Breeze S P, Chandler G A, Cook D L, Cooper G W, Deeney C, Derzon M S, Douglas M R, Fehl D L, Gilliland T, Hebron D E, Hurst M J, Jobe D O, Kellogg J W, Lash J S, Lazier S E, Matzen M K, McDaniel D H, McGurn J S, Mehlhorn T A, Moats A R, Mock R C, Muron D J, Nash T J, Olson R E, Porter J L, Quintenz J P, Reyes P V, Ruggles L E, Ruiz C L, Sanford T W L, Schmidlapp F A, Seamen J F, Spielman R B, Stark M A, Struve K W, Stygar W A, Tibbetts-Russell D R, Torres J A, Vargas M, Wagoner T C, Wakefield C, Hammer J H, Ryutov D D, Tabak M, Wilks S C, Bowers R L, McLenithan K D, Peterson D L 1999 Nucl. Fusion 39 1283
[26]	Hammer J H, Tabak M, Wilks S C, Lind J D, Bailey D S, Rambo P W, Toor A, Zimmerman G B, Porter J L Jr 1999 Phys. Plasmas 6 2129
[27]	Haines M G, Sanford T W L, Smirnov V P 2005 Plasma Phys. Contr. Fusion 47 B1
[28]	Cuneo M E, Sinars D B, Waisman E M, Bliss D E, Stygar W A, Vesey R A, Lemke R W, Smith I C, Rambo P K, Porter J L, Chandler G A, Nash T J, Mazarakis M G, Adams R G, Yu E P, Struve K W, Mehlhorn T A, Lebedev S V, Chittenden J P, Jennings C A 2006 Phys. Plasmas 13 056318

施引文献

[1]	Deeney C, Douglas M R, Spielman R B, Nash T J, Peterson D L, Eplattenier P L, Chandler G A, Seamen J F, Struve K W 1998 Phys. Rev. Lett. 81 4883
[2]	Sandford T W L, Allshouse G O, Marder B M, Nash T J, Mock R C, Spielman R B, Seamen J F, McGurn J S, Jobe D, Gilliland T L, Vargas M, Struve K W, Stygar W A, Douglas M R, Matzen M K 1996 Phys. Rev. Lett. 77 5063
[3]	Deeney C, Nash T J, Spielman R B, Seaman J F, Chandler G C, Struve K W, Porter J L, Stygar W A, McGurn J S, Jobe D O, Gilliland T L, Torres J A, Vargas M F, Ruggles L E, Breeze S, Mock R C, Douglas M R, Feh D L, McDanie D H, Matzen M K, Peterson D L, Matuska W, Roderick N F, MacFarlane J J 1997 Phys. Rev. E 56 5945
[4]	Peterson D L, Bowers R L, Brownell J H, Greene A E, McLenithan K D, Oliphant T A, Roderick N F, Scannapieco A J 1996 Phys. Plasmas 3 368
[5]	Peterson D L, Bowers R L, McLenithan K D, Deeney C, Chandler G A, Spielman R B, Matzen M K, Roderick N F 1998 Phys. Plasmas 5 3302
[6]	Chittenden J P, Lebedev S V, Bland S N, Beg F N, Haines M G 2001 Phys. Plasmas 8 2305
[7]	Chittenden J P, Lebedev S V, Jennings C A, Bland S N, Ciardi A 2004 Plasma Phys. Contr. Fusion 46 B457
[8]	Ning C, Yang Z H, Ding N 2003 Acta Phys. Sin. 52 1650 (in Chinese) [宁成、杨震华、丁宁 2003 物理学报 52 1650]
[9]	Ding N, Yang Z H, Ning C 2004 Acta Phys. Sin. 53 808 (in Chinese) [丁宁、杨震华、宁成 2004 物理学报 53 808]
[10]	Duan Y Y, Guo Y H, Wang W S, Qiu A C 2004 Acta Phys. Sin. 53 2654 (in Chinese) [段耀勇、郭永辉、王文生、邱爱慈 2004 物理学报 53 2654]
[11]	Ning C, Yang Z H, Ding N 2002 High Power Laser and Particle Beams 14 877 (in Chinese) [宁成、杨震华、丁宁 2002 强激光与粒子束 14 877]
[12]	Wang G H, Hu X J, Sun C W 2004 Chin. J. High Pres. Phys. 18 364 (in Chinese) [王刚华、胡熙静、孙承纬 2004 高压物理学报 18 364]
[13]	Ding N, Zhang Y, Liu Q, Xiao D L, Shu X J, Ning C 2009 Acta Phys. Sin. 58 1083(in Chinese) [丁宁、张扬、刘全、肖德龙、束小建、宁成 2009 物理学报 58 1083]
[14]	Ding N, Wu J M, Yang Z H, Fu S W, Ning C, Liu Q, Shu X J, Zhang Y, Dai Z H 2008 High Power Laser and Particle Beams 20 212 (in Chinese) [丁宁、邬吉明、杨震华、符尚武、宁成、刘全、束小建、张扬、戴自换 2008 强激光与粒子束 20 212]
[15]	Sanford T W L, Olson R E, Mock R C, Chandler G A, Leeper R J, Nash T J, Ruggles L E, Simpson W W, Struve K W, Peterson D L, Bowers R L, Matuska W 2000 Phys. Plasmas 7 4669
[16]	Fu S W, Shen L J, Huang S K 1998 High Technol. Lett. 8 53 (in Chinese) [符尚武、沈隆钧、黄书科 1998 高技术通讯 8 53]
[17]	Thornhill J W, Whitney K G, Deeney C, LePell P D 1994 Phys. Plasmas 1 321
[18]	Lee K T, Kim S H, Kim D, Lee T N 1996 Phys. Plasmas 3 1340
[19]	Deeney C, Coverdale C A, Douglas M R 2001 Laser and Particle Beams 19 497
[20]	Sanford T W L, Mock R C, Spielman R B, Peterson D L, Mosher D, Roderick N F 1998 Phys. Plasmas 5 3737
[21]	Douglas M R, Deeney C, Roderick N F 1998 Phys. Plasmas 5 4183
[22]	Haines M G 1998 IEEE Trans. Plasma Sci. 26 1275
[23]	Lebedev S V, Beg F N, Bland S N, Chittenden J P, Dangor A E, Haines M G, Kwek K H, Pikuz S A, Shelkovenko T A 2001 Phys. Plasmas 8 3734
[24]	Matzen M K 1997 Phys. Plasmas 4 1519
[25]	Leeper R J, Alberts T E, Asay J R, Baca P M, Baker K L, Breeze S P, Chandler G A, Cook D L, Cooper G W, Deeney C, Derzon M S, Douglas M R, Fehl D L, Gilliland T, Hebron D E, Hurst M J, Jobe D O, Kellogg J W, Lash J S, Lazier S E, Matzen M K, McDaniel D H, McGurn J S, Mehlhorn T A, Moats A R, Mock R C, Muron D J, Nash T J, Olson R E, Porter J L, Quintenz J P, Reyes P V, Ruggles L E, Ruiz C L, Sanford T W L, Schmidlapp F A, Seamen J F, Spielman R B, Stark M A, Struve K W, Stygar W A, Tibbetts-Russell D R, Torres J A, Vargas M, Wagoner T C, Wakefield C, Hammer J H, Ryutov D D, Tabak M, Wilks S C, Bowers R L, McLenithan K D, Peterson D L 1999 Nucl. Fusion 39 1283
[26]	Hammer J H, Tabak M, Wilks S C, Lind J D, Bailey D S, Rambo P W, Toor A, Zimmerman G B, Porter J L Jr 1999 Phys. Plasmas 6 2129
[27]	Haines M G, Sanford T W L, Smirnov V P 2005 Plasma Phys. Contr. Fusion 47 B1
[28]	Cuneo M E, Sinars D B, Waisman E M, Bliss D E, Stygar W A, Vesey R A, Lemke R W, Smith I C, Rambo P K, Porter J L, Chandler G A, Nash T J, Mazarakis M G, Adams R G, Yu E P, Struve K W, Mehlhorn T A, Lebedev S V, Chittenden J P, Jennings C A 2006 Phys. Plasmas 13 056318

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