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Numerical simulation analysis of Z-pinch implosion using MARED code

Ding Ning Wu Ji-Ming Dai Zi-Huan Zhang Yang Yin Li Yao Yan-Zhong Sun Shun-Kai Ning Cheng Shu Xiao-Jian

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Numerical simulation analysis of Z-pinch implosion using MARED code

Ding Ning, Wu Ji-Ming, Dai Zi-Huan, Zhang Yang, Yin Li, Yao Yan-Zhong, Sun Shun-Kai, Ning Cheng, Shu Xiao-Jian
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  • 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.
    [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

  • [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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Publishing process
  • Received Date:  01 February 2010
  • Accepted Date:  04 June 2010
  • Published Online:  05 June 2010

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