丝阵Z箍缩早期消融等离子体动力学的二维数值模拟研究

黄俊; 孙顺凯; 肖德龙; 丁宁; 宁成; 张扬; 薛创

doi:10.7498/aps.59.6351

摘要

采用理想磁流体力学模型,给出合理的二维(r, θ)质量注入边界条件,对丝阵Z箍缩早期消融等离子体的动力学过程进行了二维(r, θ)数值模拟研究,得到消融等离子体各参量以及磁场的二维时空分布.模拟结果表明,消融等离子体的运动包括四个主要阶段:首先向轴漂移,然后在轴线处滞止并形成先驱等离子体柱,随后先驱等离子体柱被压缩,最后缓慢膨胀.计算了不同丝阵半径和丝间距情况下消融等离子体到轴速度以及消融质量占丝阵总质量的份额,它们的变化规律与实验结果基本符合.通过

关键词:

Abstract

The dynamics of ablated plasma of wire-array Z-pinches are studied numerically in (r, θ) geometry by using 2D MHD simulation model, in which plausible mass injection boundary conditions are incorporated, and 2D spatio-temporal distribution of plasma parameters and magnetic field are obtained. The ablated-plasma dynamics involves 4 stages: drifting towards the axis, arriving at the axis and forming the precursor column, contraction and expansion of the precursor column, which is essentially reasonable. The relationships between the ablation velocity, the ratio of ablated plasmas to the total wire-array mass and the initial array load parameters are analyzed, and the results are in reasonablly good agreement with the experiment. The effects of the initial inter-wire separation on the structure of magnetic field are investigated and the results can give valuable suggestions to designing the wire array Z-pinch loads.

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:10975022, 10635050,10775021,10575014)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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[3]	Matzen M K 1997 Phys. Plasmas 4 1519
[4]	Lebedev S L, Beg F N, Chittenden J P, Dangor A E, Haines M G, Kwek K H, Pikuz S A, Sheldovenko T A 2001 Phys. Plasmas 8 3734
[5]	Grabovskii E V, Mitrofanov1 K N, Oleinik1 G M, Porofeev1 I Yu 2004 Plasma Phys. Rep. 30 121
[6]	Aleksandrov V V, Branitskii A V, Volkov G S, Grabovskii E V, Zurin M V, nedoseev S L, Oleinik G M, Samokhin A A, Sasorov P V, Smirnov V P, Fedulov M V, Frolov I N 2001 Plasma Phys. Rep. 27 89
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[13]	Chittenden J P, Lebedev S V, Bland S N, Beg F N, Haines M G 2001 Phys. Plasmas 8 2305
[14]	Yu E P, Cuneo M E, Desjarlais M P, Lemke R W, Sinars D B, Haill T A, Waisman E M, Bennett G R, Jennings C A, Mehlhorn T A, Brunner T A, Hanshaw H L, Porter J L, Stygar W A, Rudakov L I 2008 Phys. Plasmas 15 056301
[15]	Ning C, Yang Z H, Ding N 2003 Acta Phys. Sin. 52 415(in Chinese)[宁成、杨震华、丁宁 2003 52 415]
[16]	Ding N, Yang Z H, Ning C 2004 Acta Phys. Sin. 53 808(in Chinese)[丁宁、杨震华、宁成2004 52 808]
[17]	Ning C, Ding N ,Liu Q, Yang Z H 2006 Acta Phys. Sin. 55 3488(in Chinese)[宁成、丁宁、刘全、杨震华2006 55 3488]
[18]	Lebedev S L, Ampleford D J, Bland S N, Bott S C, Chittenden J P, Goyer J, Jennings C, Haines M G, Hall G N, Hammer D A, Palmer J B A, Pikuz S A, Shelkovenko T A, Christoudias T 2004 Nucl. Fusion 44 S215
[19]	Sanford 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, Hammer J H, De Groot J S, Eddleman J L, Peterson D L, Mosher D, Whitney K G, Thronhill J W, Pulsifer P E, Apruzese J P, Maron Y 1996 Phys. Rev. Lett. 77 5063
[20]	Stone J M, Norman M L 1992 Astrophys. J. Supp. 80 753
[21]	Stone J M, Norman M L 1992 Astrophys. J. Supp. 80 791
[22]	Bott S C, Lebedev S V, Ampleford D J, Bland S N, Chinttenden J P, Ciardi A, Haines M G, Jennings C, Sherlock M, Hall G, Rapley J, Beg F N, Palmer J 2006 Phys. Rev. E 74 046403
[23]	Chittenden J P, Jennings C 2008 Phys. Rev. Lett. 101 055005

施引文献

[1]	Deeney C, Chandler G A, Douglas M R, Fehl D L, Matzen M K, McDaniel D H, Nash T J, Porter J L, Sanford T W L, Seamen J F, Stygar W A, Struve K W, Breeze S P, Mcgurn J S, Torres J A, Zargar D M, Gilliland T L, Jobe D O, McKenney J L, Mock R C, Vargars M, Wagoner T 1998 Phys. Plasmas 5 2105
[2]	Deeney C, Douglas M R, Spielman R B, Nash T J, Peterson D L, L’Eplattenier P, Chandler G A, Seamen J F, Struve K W 1998 Phys. Rev. Lett. 81 4883
[3]	Matzen M K 1997 Phys. Plasmas 4 1519
[4]	Lebedev S L, Beg F N, Chittenden J P, Dangor A E, Haines M G, Kwek K H, Pikuz S A, Sheldovenko T A 2001 Phys. Plasmas 8 3734
[5]	Grabovskii E V, Mitrofanov1 K N, Oleinik1 G M, Porofeev1 I Yu 2004 Plasma Phys. Rep. 30 121
[6]	Aleksandrov V V, Branitskii A V, Volkov G S, Grabovskii E V, Zurin M V, nedoseev S L, Oleinik G M, Samokhin A A, Sasorov P V, Smirnov V P, Fedulov M V, Frolov I N 2001 Plasma Phys. Rep. 27 89
[7]	Sasorov P V 2004 Proceedings of 15th international Conference on High Power Beams S. Petersburg, Russia, July 18—23, 2004 p734
[8]	Sasorov P V, Oliver B V, Yu E P, Mehlhorn T A 2008 Phys. Plasmas 15 022702
[9]	Yu E P, Oliver B V, Sinars D B, Mehlhorn T A, Cuneo M E, Sasorov P V, Haines M G, Lebedev S V 2007 Phys. Plasmas 14 022705
[10]	Chittenden J P, Lebedev S V, Oliver B V, Yu E P, Cuneo M E 2004 Phys. Plasmas 11 1118
[11]	Waisman E M, Cuneo M E, Stygar W A, Sasorov P V, Yu E P 2006 Phys. Plasmas 13 062702
[12]	Chittenden J P, Lebedev S V, Bell A R, Aliaga-Rossel R, Bland S N, Haines M G 1999 Phys. Rev. Lett. 83 100
[13]	Chittenden J P, Lebedev S V, Bland S N, Beg F N, Haines M G 2001 Phys. Plasmas 8 2305
[14]	Yu E P, Cuneo M E, Desjarlais M P, Lemke R W, Sinars D B, Haill T A, Waisman E M, Bennett G R, Jennings C A, Mehlhorn T A, Brunner T A, Hanshaw H L, Porter J L, Stygar W A, Rudakov L I 2008 Phys. Plasmas 15 056301
[15]	Ning C, Yang Z H, Ding N 2003 Acta Phys. Sin. 52 415(in Chinese)[宁成、杨震华、丁宁 2003 52 415]
[16]	Ding N, Yang Z H, Ning C 2004 Acta Phys. Sin. 53 808(in Chinese)[丁宁、杨震华、宁成2004 52 808]
[17]	Ning C, Ding N ,Liu Q, Yang Z H 2006 Acta Phys. Sin. 55 3488(in Chinese)[宁成、丁宁、刘全、杨震华2006 55 3488]
[18]	Lebedev S L, Ampleford D J, Bland S N, Bott S C, Chittenden J P, Goyer J, Jennings C, Haines M G, Hall G N, Hammer D A, Palmer J B A, Pikuz S A, Shelkovenko T A, Christoudias T 2004 Nucl. Fusion 44 S215
[19]	Sanford 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, Hammer J H, De Groot J S, Eddleman J L, Peterson D L, Mosher D, Whitney K G, Thronhill J W, Pulsifer P E, Apruzese J P, Maron Y 1996 Phys. Rev. Lett. 77 5063
[20]	Stone J M, Norman M L 1992 Astrophys. J. Supp. 80 753
[21]	Stone J M, Norman M L 1992 Astrophys. J. Supp. 80 791
[22]	Bott S C, Lebedev S V, Ampleford D J, Bland S N, Chinttenden J P, Ciardi A, Haines M G, Jennings C, Sherlock M, Hall G, Rapley J, Beg F N, Palmer J 2006 Phys. Rev. E 74 046403
[23]	Chittenden J P, Jennings C 2008 Phys. Rev. Lett. 101 055005

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