One-dimensional numerical investigation on the formation of Z-pinch dynamic hohlraum using the code MULTI

Wu Fu-Yuan; Chu Yan-Yun; Ye Fan; Li Zheng-Hong; Yang Jian-Lun; Rafael Ramis; Wang Zhen; Qi Jian-Min; Zhou Lin; Liang Chuan

doi:10.7498/aps.66.215201

Abstract

Z-pinch dynamic hohlraum can effectively convert Z-pinch plasma kinetic energy into radiation field energy, which has a potential to implode a pellet filled with deuterium-tritium fuel to fusion conditions when the drive current is sufficiently large. To understand the formation process of Z-pinch dynamic hohlraum on JULONG-I facility with a typical drive current of 8-10 MA, a new radiation magneto-hydrodynamics code is developed based on the program MULTI-IFE. MULTI-IFE is a one-dimensional, two-temperature, multi-group, open-source radiation hydrodynamic code, which is initially designed for laser and heavy ion driven fusion. The original program is upgraded to simulate Z-pinch related experiments by introducing Lorentz force, Joule heating and the evolution of magnetic field into the code. Numerical results suggest that a shock wave and a thermal wave will be launched when the high speed plasma impacts onto the foam converter. The thermal wave propagates much faster than shock wave, making the foam become hot prior to the arrival of shock wave. For the load parameters and drive current of shot 0180, the calculated propagation speed of thermal wave and shock wave are about 36.1 cm/s and 17.6 cm/s, respectively. The shock wave will be reflected when it arrives at the foam center and the speed of reflected shock wave is about 12.9 cm/s. Calculations also indicate that the plastic foam will expand obviously due to the high temperature radiation environment (~30 eV) around it before the collision between tungsten plasma and foam converter. The evolution of radial radiation temperature profile shows that a pair of bright strips pointing to the foam center can be observed by an on-axis streak camera and the radiation temperature in the foam center achieves its highest value when the shock arrives at the axis. A bright emission ring moving towards the foam center can also be observed by an on-axis X-ray frame camera. The best time to capture the bright strips and bright emission rings is before the thermal wave reaches the foam center. Even though some amount of X-ray radiation in the foam is expected to escape from the hohlraum via radiation transport process, simulation results suggest that the tungsten plasma can serve as a good hohlraum wall. The radiation temperature is about 80 eV when the dynamic hohlraum is created and can rise more than 100 eV before the shock arrives at the foam center. Most of the X-rays emitted by the wire-array plasma surface have energies below 1000 eV. In this paper, the physical model of the code MULTI-IFE and the simulation results of array implosions on Saturn facility are presented as well.

Keywords:

Authors and contacts

1.
Institute of Nuclear Physics and Chemistry, China Academy of Engineering Physics, Mianyang 621900, China;
2.
E. T. S. I. Aeronautica y del Espacio, Universidad Politecnica de Madrid, Madrid 28040, Spain

Corresponding author: Li Zheng-Hong, lee_march@sina.com

Funds: Project supported by the National Natural Science Foundation of China (Grant Nos. 11135007, 11305155), the Spanish Ministerio de Economia y Competitividad (Grant No. ENE2014-54960-R), and the EUROfusion Consortium Project(Grant No. AWP15-ENR-01/CEA-02).

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[22]	Deeney C, Nash T J, Spielman R B, Seaman J F, Chandler G, Struve K W, Porter J L, Stygar W A, Mcgurn J S, Jobe D, Gilliland T L, Torres J A, Vargas M F, Ruggles L E, Breeze S P, 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
[23]	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]
[24]	Thornhill J W, Whitney K G, Deeney C, Lepell P D 1994 Phys. Plasmas 1 321
[25]	Ning C, Sun S K, Xiao D L, Zhang Y, Ding N, Huang J, Xue C, Shu X J 2010 Phys. Plasmas 17 062703
[26]	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
[27]	Sanford T W, 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, Groot J S, Eddleman J L, Peterson D L, Mosher D, Whitney K G, Thornhill J W, Pulsifer P E, Apruzese J P, Maron Y 1996 Phys. Rev. Lett. 77 5063
[28]	Xiao D L, Ding N, Sun S K, Ye F, Ning J M, Hu Q Y, Chen F X, Qin Y, Xu R K, Li Z H 2014 Phys. Plasmas 21 042704

Cited By

[1]	Peng X J, Hua X S 2008 Eng. Sci. 10 47 (in Chinese) [彭先觉, 华欣生 2008 中国工程科学 10 47]
[2]	Li Z H, Huang H W, Wang Z, Chen X J, Qi J M, Guo H B, Ma J M, Xiao C J, Chu Y Y, Zhou L 2014 High Power Laser and Particle Beams 26 26100202 (in Chinese) [李正宏, 黄洪文, 王真, 陈晓军, 祁建敏, 郭海兵, 马纪敏, 肖成建, 褚衍运, 周林 2014 强激光与粒子束 26 26100202]
[3]	Sanford 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
[4]	Bennett G R, Cuneo M E, Vesey R A, Porter J L, Adams R G, Aragon R A, Caird J A, Landen O L, Rambo P K, Rovang D C, Ruggles L, Simpson W W, Smith I C, Wenger D F 2002 Phys. Rev. Lett. 89 245002
[5]	Sanford T W, Lemke R W, Mock R C, Chandler G A, Leeper R J, Ruiz C L, Peterson D L, Chrien R E, Idzorek G C, Watt R G, Chittenden J P 2002 Phys. Plasmas 9 3573
[6]	Smirnov V P 1991 Plasma Phys. Control. Fusion 33 1697
[7]	Brownell J H, Bowners R L, Mclenithan K D, Peterson D L 1998 Phys. Plasmas 5 2071
[8]	Nash T J, Derzon M S, Allshouse G O, Deeney C, Seaman J F, Mcgurn J S, Jobe D, Gilliland T L, Macfarlane J J, Wang P, Petersen D 1997 AIP Conf. Proc. 409 175
[9]	Bailey J E, Chandler G A, Slutz S A, Bennett G R, Cooper G W, Lash J S, Lazier S E, Lemke R W, Nash T J, Nielsen D S, Moore T C, Ruiz C L, Schroen D G, Smelser R M, Torres J A, Vesey R A 2002 Phys. Rev. Lett. 89 095004
[10]	Rochau G A, Bailey J E, Chandler G A, Cooper G, Dunham G, Lake P, Leeper R J, Lemke R W, Mehlhorn T A, Nikroo A, Peterson K J, Ruiz C L, Schroen D G, Slutz S A, Steinman D A, Stygar W A, Varnum W 2007 Plasma Phys. Control. Fusion 49 B591
[11]	Xu R K, Li Z H, Yang J L, Ding N, Zhou X W, Jiang S L, Zhang F Q, Wang Z, Xu Z P, Ning J M, Li L B, Grabovsky E V, Oleynic G M, Alexandrov V V, Smirnov V 2011 Acta Phys. Sin. 60 045208 (in Chinese) [徐荣昆, 李正宏, 杨建伦, 丁宁, 周秀文, 蒋世伦, 章法强, 王真, 许泽平, 宁家敏, 李林波, Grabovsky E V, Oleynic G M, Alexandrov V V, Smirnov V 2011 60 045208]
[12]	Ding N, Wu J M, Dai Z H, Zhang Y, Yin L, Yao Y Z, Sun S K, Ning C, Shu X J 2010 Acta Phys. Sin. 59 8707 (in Chinese) [丁宁, 邬吉明, 戴自换, 张扬, 尹丽, 姚彦忠, 孙顺凯, 宁成, 束小建 2010 59 8707]
[13]	Ning C, Feng Z X, Xue C 2014 Acta Phys. Sin. 63 125208 (in Chinese) [宁成, 丰志兴, 薛创 2014 63 125208]
[14]	Xiao D L, Sun S K, Xue C, Zhang Y, Ding N 2015 Acta Phys. Sin. 64 235203 (in Chinese) [肖德龙, 孙顺凯, 薛创, 张扬, 丁宁 2015 64 235203]
[15]	Meng S J, Huang Z C, Ning J M, Hu Q Y, Ye F, Qin Y, Xu Z P, Xu R K 2016 Acta Phys. Sin. 65 075201 (in Chinese) [蒙世坚, 黄展常, 甯家敏, 胡青元, 叶繁, 秦义, 许泽平, 徐荣昆 2016 65 075201]
[16]	Ramis R, Schmalz R, Meyer-ter-Vehn J 1988 Comput. Phys. Commun. 49 475
[17]	Ramis R, Meyer-ter-Vehn J 2016 Comput. Phys. Commun. 203 226
[18]	Ramis R 2017 J. Comput. Phys. 330 173
[19]	Oliphant T A 1981 RAVEN Physical Manual Los Alamos Scientific Laboratory Report LA-8802-M
[20]	Wang G H 2002 Ph. D. Dissertation (Beijing: Graduate School of Chinese Academy of Engineering Physics) (in Chinese) [王刚华 2002 博士学位论文 (北京: 中国工程物理研究院北京研究生部)]
[21]	Yan Q J 2006 Numerical Analysis (Beijing: Beihang University Press) p27 (in Chinese) [颜庆津2006 数值分析 (北京: 北京航空航天大学出版社) 第27页]
[22]	Deeney C, Nash T J, Spielman R B, Seaman J F, Chandler G, Struve K W, Porter J L, Stygar W A, Mcgurn J S, Jobe D, Gilliland T L, Torres J A, Vargas M F, Ruggles L E, Breeze S P, 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
[23]	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]
[24]	Thornhill J W, Whitney K G, Deeney C, Lepell P D 1994 Phys. Plasmas 1 321
[25]	Ning C, Sun S K, Xiao D L, Zhang Y, Ding N, Huang J, Xue C, Shu X J 2010 Phys. Plasmas 17 062703
[26]	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
[27]	Sanford T W, 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, Groot J S, Eddleman J L, Peterson D L, Mosher D, Whitney K G, Thornhill J W, Pulsifer P E, Apruzese J P, Maron Y 1996 Phys. Rev. Lett. 77 5063
[28]	Xiao D L, Ding N, Sun S K, Ye F, Ning J M, Hu Q Y, Chen F X, Qin Y, Xu R K, Li Z H 2014 Phys. Plasmas 21 042704

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