Physical investigation of dynamic process of the gas-puff Z-pinch through particle-in-cell simulation

Feng Zhi-Xing; Ning Cheng; Xue Chuang; Li Bai-Wen

doi:10.7498/aps.63.185203

Abstract

In this paper the physical model and numerical algorithm of particle-in-cell (PIC) simulation for gas-puff Z-pinch in two-dimensional cylindrical coordinates are briefly introduced. The code is also developed according to the model and algorithm. The rarefied gas-puff Z-pinch driven by a low current is simulated through the code, and some reasonable results are obtained. The results include the spatiotemporal distributions of current, electromagnetic field, particle positions and density, as well as the trailing mass and current. It is found that the simulated current reflects the plasma Z-pinch characteristics, i.e., the plasma current arrives at a minimum when the plasma enters into stagnation, and it begins to increase after the plasma has moved outwards. The simulated magnetic field agrees well with the theoretic value. The electric field force and magnetic field force experienced by electron are almost the same in magnitude, while the force acting on ion is mainly the electric field force. Firstly the electron is accelerated in the z direction and reaches a velocity, then it moves inward the axis in the same time by the Lorentz force. That causes the separation between electron and ion, and a strong electric field is produced. The produced electric field attracts the ion inward the electron. When the electrons arrive at the axis, they move inversely due to the static repellency among them, while the ions continue to move initially inwards, and later enter into stagnation, and finally collapse. The trailing mass is about 20% of the total Z-pinch plasma, and the maximum trailing current is about 7% of the driven current. In the future the code needs to develop further and realize parallel computation in order to simulate the practical Z-pinch processes by PIC simulation.

Keywords:

Authors and contacts

1.
Beijing Graduate School of China Academy of Engineering Physics, Beijing 100088, China;
2.
Beijing Institute of Applied Physics and Computational Mathematics, Beijing 100088, China
Funds: Project supported by the National Natural Science Foundation of China (Grant Nos. 11135007, 10775021, 11375032), the National Basic Research Program of China (Grant No. 61319403), and the Science and Technology Foundation of China Academy of Engineering Physics (Grant No. 2011A0102008).

References

[1]	Matzen M K 1997 Phys. Plasmas 4 1519
[2]	Dan J K, Ren X D, Huang X B, Zhang S Q, Zhou S T, Duan S C, Ouyang K, Cai H C, Wei B, Ji C, He A, Xia M H, Feng S P, Wang M, Xie W P 2013 Acta Phys. Sin. 62 245201(in Chinese)[但加坤, 任晓东, 黄显宾, 张思群, 周少彤, 段书超, 欧阳凯, 蔡红春, 卫兵, 计策, 何安, 夏明鹤, 丰树平, 王勐, 谢卫平 2013 62 245201]
[3]	Sheng L, Li Y, Yuan Y, Peng B D, Li M, Zhang M, Zhao J Z, Wei F L, Wang L P, Hei D W, Qiu A C 2014 Acta Phys. Sin. 63 055201(in Chinese)[盛亮, 李阳, 袁媛, 彭博栋, 李沫, 张美, 赵吉祯, 魏福利, 王亮平, 黑东炜, 邱爱慈 2014 63 055201]
[4]	Huang X B, Yang L B, Li J, Zhou S T, Ren X D, Zhang S Q, Dan J K, Cai H C, Duan S C, Chen G H, Zhang Z W, Ouyang K, Li J, Zhang Z H, Zhou R G, Wang G L 2012 Chin. Phys. B 21 055206
[5]	Wu G, Qiu A C, Wang L P, L M, Qiu M T, Cong P T 2011 Acta Phys. Sin. 60 015203(in Chinese)[吴刚, 邱爱慈, 王亮平, 吕敏, 邱孟通, 丛培天 2011 60 015203]
[6]	Deeney C, Nash T J, Spielman R B, Seaman J F, Chandler G C, Struve K W, Porter J L, Stygar W A, McGum 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, Fehl D L, McDaniel D H, Matzen M K, Peterson D L, Matuska W, Roderick N F, MacFarlane J J 1997 Phys. Rev. E 56 5945
[7]	Spielman R B, 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, Seaman J F, Stygar W A, Struve K W, Breeze S P, McGurn J S, Torres J A, Zagar D M, Gilliland T L, Jobe D O, McKenney J L, Mock R C, Vargas M, Wangoner T, Peterson D L 1998 Phys. Plasmas 5 2105
[8]	Stygar W A, Ives H C, Fehl D L, Fehl D L, Cuneo M E, Mazarakis M G, Bailey J E, Bennett G R, Bliss D E, Chandler G A, Leeper R J, Matzen M K, McDaniel D H, McGurn J S, McKenney J L, Mix L P, Muron D J, Porter J L, Ramirez J S, Ruggles L E, Seamen J F, Simpson W W, Speas C S, Spielman R B, Struve K W, Torres J A, Vesey R A 2004 Phys. Rev. E 69 046403
[9]	Commisso R J, Apruzese J P, Black D C, Boller J R, Moosman B, Mosher D, Stephanakis S J, Weber B V, Young F C 1998 IEEE Trans. Plasma Sci. 26 1068
[10]	Shiloh J A, Fisher A, Rostoker N 1978 Phys. Rev. Lett. 40 515
[11]	Jiang S Q, Chen F X, Xia G X, Ning J M, Xue F B, Li L B, Ye F, Yang J L, Pan Y J 2013 High Power Laser and Particle Beams 25 3069(in Chinese)[蒋树庆, 陈法新, 夏广新, 甯家敏, 薛飞彪, 李林波, 叶繁, 杨建伦, 潘英俊 2013 强激光与粒子束 25 3069]
[12]	Coverdale C A, Deeney C, Velikovich A L, Clark R W, Chong Y K, Davis J, Chittenden J, Ruiz C L, Cooper G W, Nelson A J, Franklin J, LePell P D, Apruzese J P, Levine J, Banister J, Qi N 2007 Phys. Plasmas 14 022706
[13]	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 53 2654]
[14]	Ning C, Ding N, Liu Q, Yang Z H 2006 Acta Phys. Sin. 55 3488(in Chinese)[宁成, 丁宁, 刘全, 杨振华 2006 55 3488]
[15]	Ning C, Yang Z H, Ding N 2003 Acta Phys. Sin. 52 1650(in Chinese)[宁成, 杨震华, 丁宁 2003 52 1650]
[16]	Welch D R, Rose D V, Clark R E, Mostrom C B, Stygar W A, Leeper R J 2009 Phys. Rev. Lett. 103 255002
[17]	Welch D R, Rose D V, Thoma C, Clark R E, Mostrom C B, Stygar W A, Leeper R J 2010 Phys. Plasmas 17 072702
[18]	Welch D R, Rose D V, Thoma C, Clark R E, Mostrom C B, Stygar W A, Leeper R J 2011 Phys. Plasmas 18 056303
[19]	Zhuo H B 2002 Ph. D. Dissertation (Changsha: National University of Defense Technology) (in Chinese)[卓红斌 2002 博士学位论文 (长沙: 国防科技大学)]
[20]	Langdon A B, Birdsall C K 1970 Phys. Fluids 13 2115
[21]	Birdsall C K 1985 Plasma Physics via Computer Simulation (New York: McGraw-Hill Book Company) pp365-366
[22]	Villasenor J, Buneman O 1992 Comput. Phys. Commum. 69 306
[23]	Yin Y, Chang W W, Xu H, Zhuo H B, Ma Y Y 2007 CJCP 24 655(in Chinese)[银燕, 常文蔚, 徐涵, 卓红斌, 马燕云 2007 计算物理 24 655]
[24]	Ning C 2001 Nuclear Fusion and Plasma Physics 21 43(in Chinese)[宁成 2001 核聚变与等离子体物理 21 43]
[25]	Yang Z H, Liu Q, Ding N 2004 High Power Laser and Particle Beams 16 469(in Chinese)[杨震华, 刘全, 丁宁 2004 强激光与粒子束 16 469]

Cited By

[1]	Matzen M K 1997 Phys. Plasmas 4 1519
[2]	Dan J K, Ren X D, Huang X B, Zhang S Q, Zhou S T, Duan S C, Ouyang K, Cai H C, Wei B, Ji C, He A, Xia M H, Feng S P, Wang M, Xie W P 2013 Acta Phys. Sin. 62 245201(in Chinese)[但加坤, 任晓东, 黄显宾, 张思群, 周少彤, 段书超, 欧阳凯, 蔡红春, 卫兵, 计策, 何安, 夏明鹤, 丰树平, 王勐, 谢卫平 2013 62 245201]
[3]	Sheng L, Li Y, Yuan Y, Peng B D, Li M, Zhang M, Zhao J Z, Wei F L, Wang L P, Hei D W, Qiu A C 2014 Acta Phys. Sin. 63 055201(in Chinese)[盛亮, 李阳, 袁媛, 彭博栋, 李沫, 张美, 赵吉祯, 魏福利, 王亮平, 黑东炜, 邱爱慈 2014 63 055201]
[4]	Huang X B, Yang L B, Li J, Zhou S T, Ren X D, Zhang S Q, Dan J K, Cai H C, Duan S C, Chen G H, Zhang Z W, Ouyang K, Li J, Zhang Z H, Zhou R G, Wang G L 2012 Chin. Phys. B 21 055206
[5]	Wu G, Qiu A C, Wang L P, L M, Qiu M T, Cong P T 2011 Acta Phys. Sin. 60 015203(in Chinese)[吴刚, 邱爱慈, 王亮平, 吕敏, 邱孟通, 丛培天 2011 60 015203]
[6]	Deeney C, Nash T J, Spielman R B, Seaman J F, Chandler G C, Struve K W, Porter J L, Stygar W A, McGum 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, Fehl D L, McDaniel D H, Matzen M K, Peterson D L, Matuska W, Roderick N F, MacFarlane J J 1997 Phys. Rev. E 56 5945
[7]	Spielman R B, 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, Seaman J F, Stygar W A, Struve K W, Breeze S P, McGurn J S, Torres J A, Zagar D M, Gilliland T L, Jobe D O, McKenney J L, Mock R C, Vargas M, Wangoner T, Peterson D L 1998 Phys. Plasmas 5 2105
[8]	Stygar W A, Ives H C, Fehl D L, Fehl D L, Cuneo M E, Mazarakis M G, Bailey J E, Bennett G R, Bliss D E, Chandler G A, Leeper R J, Matzen M K, McDaniel D H, McGurn J S, McKenney J L, Mix L P, Muron D J, Porter J L, Ramirez J S, Ruggles L E, Seamen J F, Simpson W W, Speas C S, Spielman R B, Struve K W, Torres J A, Vesey R A 2004 Phys. Rev. E 69 046403
[9]	Commisso R J, Apruzese J P, Black D C, Boller J R, Moosman B, Mosher D, Stephanakis S J, Weber B V, Young F C 1998 IEEE Trans. Plasma Sci. 26 1068
[10]	Shiloh J A, Fisher A, Rostoker N 1978 Phys. Rev. Lett. 40 515
[11]	Jiang S Q, Chen F X, Xia G X, Ning J M, Xue F B, Li L B, Ye F, Yang J L, Pan Y J 2013 High Power Laser and Particle Beams 25 3069(in Chinese)[蒋树庆, 陈法新, 夏广新, 甯家敏, 薛飞彪, 李林波, 叶繁, 杨建伦, 潘英俊 2013 强激光与粒子束 25 3069]
[12]	Coverdale C A, Deeney C, Velikovich A L, Clark R W, Chong Y K, Davis J, Chittenden J, Ruiz C L, Cooper G W, Nelson A J, Franklin J, LePell P D, Apruzese J P, Levine J, Banister J, Qi N 2007 Phys. Plasmas 14 022706
[13]	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 53 2654]
[14]	Ning C, Ding N, Liu Q, Yang Z H 2006 Acta Phys. Sin. 55 3488(in Chinese)[宁成, 丁宁, 刘全, 杨振华 2006 55 3488]
[15]	Ning C, Yang Z H, Ding N 2003 Acta Phys. Sin. 52 1650(in Chinese)[宁成, 杨震华, 丁宁 2003 52 1650]
[16]	Welch D R, Rose D V, Clark R E, Mostrom C B, Stygar W A, Leeper R J 2009 Phys. Rev. Lett. 103 255002
[17]	Welch D R, Rose D V, Thoma C, Clark R E, Mostrom C B, Stygar W A, Leeper R J 2010 Phys. Plasmas 17 072702
[18]	Welch D R, Rose D V, Thoma C, Clark R E, Mostrom C B, Stygar W A, Leeper R J 2011 Phys. Plasmas 18 056303
[19]	Zhuo H B 2002 Ph. D. Dissertation (Changsha: National University of Defense Technology) (in Chinese)[卓红斌 2002 博士学位论文 (长沙: 国防科技大学)]
[20]	Langdon A B, Birdsall C K 1970 Phys. Fluids 13 2115
[21]	Birdsall C K 1985 Plasma Physics via Computer Simulation (New York: McGraw-Hill Book Company) pp365-366
[22]	Villasenor J, Buneman O 1992 Comput. Phys. Commum. 69 306
[23]	Yin Y, Chang W W, Xu H, Zhuo H B, Ma Y Y 2007 CJCP 24 655(in Chinese)[银燕, 常文蔚, 徐涵, 卓红斌, 马燕云 2007 计算物理 24 655]
[24]	Ning C 2001 Nuclear Fusion and Plasma Physics 21 43(in Chinese)[宁成 2001 核聚变与等离子体物理 21 43]
[25]	Yang Z H, Liu Q, Ding N 2004 High Power Laser and Particle Beams 16 469(in Chinese)[杨震华, 刘全, 丁宁 2004 强激光与粒子束 16 469]

[1]	Wang Cheng-Zhen, Dong Quan-Li, Liu Ping, Wu Yi-Ying, Sheng Zheng-Ming, Zhang Jie. Particle simulation study on anisotropic pressure of electrons in laser-produced plasma interaction. Acta Physica Sinica, 2017, 66(11): 115203. doi: 10.7498/aps.66.115203
[2]	Du Hong-Xiu, Wei Hong, Qin Yi-Xiao, Li Zhong-Hua, Wang Tong-Zun. Interpolating particle method for mechanical analysis of space axisymmetric components. Acta Physica Sinica, 2015, 64(10): 100204. doi: 10.7498/aps.64.100204
[3]	Gao Qi, Zhang Chuan-Fei, Zhou Lin, Li Zheng-Hong, Wu Ze-Qing, Lei Yu, Zhang Chun-Lai, Zu Xiao-Tao. Separating the Z-pinch plasma X-ray radiation and attaining the electron temperature. Acta Physica Sinica, 2014, 63(9): 095201. doi: 10.7498/aps.63.095201
[4]	Gao Qi, Zhang Chuan-Fei, Zhou Lin, Li Zheng-Hong, Wu Ze-Qing, Lei Yu, Zhang Chun-Lai, Zu Xiao-Tao. Simulation of Z-pinch Al plasma radiation and correction with considering superposition effect. Acta Physica Sinica, 2014, 63(12): 125202. doi: 10.7498/aps.63.125202
[5]	Dan Jia-Kun, Ren Xiao-Dong, Huang Xian-Bin, Zhang Si-Qun, Zhou Shao-Tong, Duan Shu-Chao, Ouyang Kai, Cai Hong-Chun, Wei Bing, Ji Ce, He An, Xia Ming-He, Feng Shu-Ping, Wang Meng, Xie Wei-Ping. Electromagnetic pulse emission produced by Z pinch implosions. Acta Physica Sinica, 2013, 62(24): 245201. doi: 10.7498/aps.62.245201
[6]	Zhou Lin, Xue Fei-Biao, Si Fen-Ni, Yang Jian-Lun, Ye Fan, Xu Rong-Kun, Hu Qing-Yuan, Fu Yue-Cheng, Jiang Shu-Qiang, Li Lin-Bo, Chen Jin-Chuan, Xu Ze-Ping. Experimental sduty of current distribution in wirearray Zpinch plasma. Acta Physica Sinica, 2012, 61(19): 195207. doi: 10.7498/aps.61.195207
[7]	Gao Qi, Wu Ze-Qing, Zhang Chuan-Fei, Li Zheng-Hong, Xu Rong-Kun, Zu Xiao-Tao. The nonlocal thermal equilibrium simulation of Z-pinch Al plasma radiation. Acta Physica Sinica, 2012, 61(1): 015201. doi: 10.7498/aps.61.015201
[8]	Guo Fan, Li Yong-Dong, Wang Hong-Guang, Liu Chun-Liang, Hu Yi-Xiang, Zhang Peng-Fei, Ma Meng. Particle-in-cell simulation of outer magnetically insulated transmission line of Z-pinch accelerator. Acta Physica Sinica, 2011, 60(10): 102901. doi: 10.7498/aps.60.102901
[9]	Wu Gang, Qiu Ai-Ci, Wang Liang-Ping, Lü Min, Qiu Meng-Tong, Cong Pei-Tian. Study on K-shell X-ray production of double-shellneon gas puff Z-pinch. Acta Physica Sinica, 2011, 60(1): 015203. doi: 10.7498/aps.60.015203
[10]	Li Jing, Xie Wei-Ping, Huang Xian-Bin, Yang Li-Bing, Cai Hong-Chun, Pu Yi-Kang. Application of a collisinal-radiative model for the analysis of K-shell line spectra emitted by Z-pinch plasma. Acta Physica Sinica, 2010, 59(11): 7922-7929. doi: 10.7498/aps.59.7922
[11]	Huang Jun, Sun Shun-Kai, Xiao De-Long, Ding Ning, Ning Cheng, Zhang Yang, Xue Chuang. Two-dimensional numerical studies of ablated-plasma dynamics of wire-array Z-pinches. Acta Physica Sinica, 2010, 59(9): 6351-6361. doi: 10.7498/aps.59.6351
[12]	Ye Fan, Xue Fei-Biao, Guo Cun, Li Zheng-Hong, Yang Jian-Lun, Xu Rong-Kun, Zhang Fa-Qiang, Jin Yong-Jie. Utilization of convex crystal spectrograph to obtain monochromatic X-ray images of Z-pinch plasmas. Acta Physica Sinica, 2008, 57(3): 1792-1795. doi: 10.7498/aps.57.1792
[13]	Zhang Yang, Ding Ning. The effect of axial flow on the stability in the Z-pinch. Acta Physica Sinica, 2006, 55(5): 2333-2339. doi: 10.7498/aps.55.2333
[14]	Qiu Ai-Ci, Kuai Bin, Zeng Zheng-Zhong, Wang Wen-Sheng, Qiu Meng-Tong, Wang Liang-Ping, Cong Pei-Tian, Lü Min. Study on W wire array Z pinch plasma radiation at Qiangguang-Ⅰ facility. Acta Physica Sinica, 2006, 55(11): 5917-5922. doi: 10.7498/aps.55.5917
[15]	Zou Xiao-Bing, Wang Xin-Xin, Zhang Gui-Xin, Han Min, Luo Cheng-Mu. Study of soft X-ray energy spectra from gas-puff Z-pinch plasma. Acta Physica Sinica, 2006, 55(3): 1289-1294. doi: 10.7498/aps.55.1289
[16]	Zou Xiao-Bing, Wang Xin-Xin, Luo Cheng-Mu, Han Min. Energy spectra of ion beams from gas-puff Z-pinch plasma. Acta Physica Sinica, 2005, 54(5): 2133-2137. doi: 10.7498/aps.54.2133
[17]	Duan Yao-Yong, Guo Yong-Hui, Wang Wen-Sheng, Qiu Ai-Ci. Numerical investigations of Z-pinch plasma instabilities. Acta Physica Sinica, 2004, 53(10): 3429-3434. doi: 10.7498/aps.53.3429
[18]	Duan Yao-Yong, Guo Yong-Hui, Wang Wen-Sheng, Qiu Ai-Ci. Numerical simulation of tungsten wire-array pinch plasma. Acta Physica Sinica, 2004, 53(8): 2654-2660. doi: 10.7498/aps.53.2654
[19]	Ning Cheng, Yang Zhen-Hua, Ding Ning. Numerical studies of neon gas-puff Z-pinch dynamic processes. Acta Physica Sinica, 2003, 52(7): 1650-1655. doi: 10.7498/aps.52.1650
[20]	MA YAN-YUN, CHANG WEN-WEI, YIN YAN, YUE ZONG-WU, CAO LI-HUA, LIU DA-QING. A COLLISION MODEL IN PLASMA PARTICLE SIMULATIONS. Acta Physica Sinica, 2000, 49(8): 1513-1519. doi: 10.7498/aps.49.1513

Catalog

Vol. 63, Issue 18 - 2014-09-20

Metrics

Abstract views: 5824
PDF Downloads: 413
Cited By: 0

姓名
邮箱
手机号码
标题
留言内容
验证码

Search

Article

留言板