强激光与粒子束, 2016, 28 (4): 045014, 网络出版: 2016-04-01   

FOI-PERFECT程序对电磁驱动高能量密度系统的三维弛豫磁流体力学模拟

3D relaxation MHD modeling with FOI-PERFECT code for electromagnetically driven HED systems
作者单位
1 中国工程物理研究院 流体物理研究所, 四川 绵阳 621999
2 中国科学技术大学 近代物理系, 合肥 230026
摘要
提出一个完整的弛豫磁流体力学模型用于电磁驱动高能量密度系统的数值模拟,它由弛豫电磁波动、弛豫热输运、P1/3近似辐射输运以及流体力学构成。电磁部分在真空区退化为电磁传播,在等离子体物质区退化为磁扩散近似,并且相速和群速是有上界的。这意味着弛豫磁流体力学能退化到传统的电阻性磁流体力学,并且能用显式方法数值求解,便于大规模高效并行化。基于此弛豫磁流体力学模型开发了三维辐射磁流体力学程序FOI-PERFECT,指出了所采用的关键数值技术,并给出了一些应用例子。
Abstract
We propose a complete relaxation magnetohydrodynamic (MHD) model for the simulation of electromagnetically driven high energy density (HED) systems. The full relaxation MHD model is composed of relaxation electromagnetic wave, relaxation heat transport, P1/3 approximate radiation transport and certainly the indispensable hydrodynamics (HD). The electromagnetic part transitions from electromagnetic propagation in vacuum to magnetic diffusion in plasma in a natural way. The phase and group velocities are finite for this relaxation system. Therefore, the relaxation MHD can degenerate to resistive MHD and is convenient for explicit & parallel computations. The FOI-PERFECT code is developed, based on the relaxation MHD. The key numerical techniques and various applications are given.
参考文献

[1] Robinson A C, Garasi C J. Three-dimensional Z-pinch wire array modeling with ALEGRA-HEDP[J]. Comput Phys Commun, 2004, 164(1/3): 408-413.

[2] Chittenden J P, Lebedev S V, Bland S N, et al. One-, two-, and three-dimensional modeling of the different phases of wire array Z-pinch evolution[J]. Phys Plasmas, 2001, 8(5): 2305-2314.

[3] Marinak M M, Tipton R E, Landen O L, et al. Three-dimensional simulations of Nova high growth factor capsule implosion experiments[J]. Phys Plasmas, 1996, 3(5): 2070-2076.

[4] Zimmerman G B, Kruer W L. Numerical simulation of laser-initiated fusion[J]. Comments Plasma Phys Controlled Fusion, 1975, 2(2): 51-60.

[5] Peterkin R E, Frese M H, Sovinec C R. Transport of magnetic flux in an arbitrary coordinate ALE code[J]. J Comput Phys, 1998, 140(1): 148-171.

[6] 段耀勇, 郭永辉, 王文生, 等. 钨丝阵等离子体Z箍缩的数值模拟[J]. 物理学报, 2004, 53(8): 2654-2660. (Duan Yaoyong, Guo Yonghui, Wang Wensheng, et al. Numerical simulation of tungsten wire-array pinch plasma. Acta Physica Sinica, 2004, 53(8): 2654-2660)

[7] 丁宁, 邬吉明, 戴自换, 等. Z箍缩内爆的MARED程序数值模拟分析[J]. 物理学报, 2010, 59(12): 8707-8716. (Ding Ning, Wu Jiming, Dai Zihuan, et al. Numerical simulation analysis of Z-pinch implosion using MARED code. Acta Physica Sinica, 2010, 59(12): 8707-8716)

[8] 阚明先, 蒋吉昊, 王刚华, 等. 衬套内爆ALE方法二维MHD数值模拟[J]. 四川大学学报(自然科学版), 2007, 44(1): 91-96. (Kan Mingxian, Jiang Jihao, Wang Ganghua, et al. ALE simulation of 2D MHD for liner. Journal of Sichuan University: Natural Science Edition, 2007, 44(1): 91-96)

[9] Tajima T. Computational plasma physics[M]. Boulder: Westview Press, 2004: 105-108.

[10] Watanabe N, Yokoyama T. Two-dimensional magnetohydrodynamic simulations of relativistic magnetic reconnection[J]. Astrophysical Journal Letters, 2006, 647(2): 123-126.

[11] Komissarov S S. Multidimensional numerical scheme for resistive relativistic magnetohydrodynamics[J]. Mon Not R Astron Soc, 2007, 382(3): 995-1004.

[12] Palenzuela C, Lehner L, Reula O, et al. Beyond ideal MHD: Towards a more realistic modelling of relativistic astrophysical plasmas[J]. Mon Not R Astron Soc, 2009, 394(4): 1727-1740.

[13] Seyler C E, Martin M R. Relaxation model for extended magnetohydrodynamics: Comparison to magnetohydrodynamics for dense Z-pinches[J]. Phys Plasmas, 2011, 18: 012703.

[14] Zhao X, Yang Y, Seyler C E. A positivity-preserving semi-implicit discontinuous Galerkin scheme for solving extended magnetohydrodynamics equations[J]. Journal of Computational Physics, 2014, 278: 400-415.

[15] Duan S C, Li J, Dan J K, et al. A TVD implementation of constrained propagation for electromagnetic waves[J]. Advances and Applications in Fluid Mechanics, 2012, 12(2): 101-110.

[16] 段书超, 章征伟, 李晶, 等. Z箍缩丝阵动态烧蚀的二维数值模拟研究[J]. 强激光与粒子束, 2014, 26: 045050. (Duan Shuchao, Zhang Zhengwei, Li Jing, et al. Two-dimensional numerical investigation of the dynamic ablation of Z-pinch wire-array. High Power Laser and Particle Beams, 2014, 26: 045050)

[17] 段书超, 李晶, 但加坤, 等. X箍缩三维数值模拟[J]. 强激光与粒子束, 2015, 27: 010102. (Duan Shuchao, Li Jing, Dan Jiakun, et al. X-pinch 3D simulations with FOI-PERFECT. High Power Laser and Particle Beams, 2015, 27: 010102)

[18] Duan S C, Wang G H, Xie W P, et al. 3D relaxation MHD modeling with FOI-PERFECT for electromagnetic driven HEDP[C]//Proc 1st International Workshop on Electromagnetic Driven High Energy Density Physics. 2015.

[19] Duan S C, Wang G H, Xie W P, et al. 3D relaxation MHD modeling with FOI-PERFECT code for electromagnetically driven HED plasma[C]//Proc 9th West Lake International Symposium on Plasma Simulation. 2015.

[20] 段书超, 阚明先, 王刚华, 等. 用于电磁驱动真空-等离子体系统数值模拟的弛豫磁流体力学模型[J]. 强激光与粒子束, 2015, 27: 065022. (Duan Shuchao, Kan Mingxian, Wang Ganghua, et al. Relaxation magnetohydrodynamics model for the computation of an electromagnetically driven vacuum-plasma system. High Power Laser and Particle Beams, 2015, 27: 065022)

[21] Drake R P. High-energy-density physics[M]. Netherlands: Springer-Verlag Berlin Heidelberg, 2006: 354-361.

[22] Olsen G L, Auer L H, Hall M L. Diffusion, P1, and other approximate forms of radiation transport [J]. Journal of Quantitative Spectroscopy and Radiative Transfer, 2000, 64(6): 619-634.

[23] 段书超, 李晶, 但加坤, 等. Z箍缩的三维辐射磁流体力学数值模拟[C]//第八届全国流体力学学术会议. 2014. (Duan Shuchao, Li Jing, Dan Jiakun, et al. Three-dimensional radiation MHD simulation of Z-pinch//Proc of 8th Chinese Fluid Mechanics Conference. 2014)

[24] 段书超, 李晶, 但加坤, 等. Z箍缩FOI-PERFECT程序数值模拟[C]//第五届全国高能量密度物理会议. 2014. (Duan Shuchao, Li Jing, Dan Jiakun, et al. Z-pinch simulation with FOI-PERFECT code[C]//Proc of 5th Chinese High Energy Density Physics Conference. 2014)

[25] 但加坤. 磁重联电磁脉冲定向辐射方法研究[D]. 北京: 中国工程物理研究院, 2014: 100-104. (Dan Jiakun. Study on the method of magnetic reconnection electromagnetic pulse. Beijing: China Academy of Engineering Physics, 2014: 100-104)

[26] Chittenden J P, Lebedev S V, Bell A R, et al. Plasma formation and implosion structure in wire array Z pinches[J]. Phys Rev Lett, 1999, 83(1): 100-103.

[27] Balsara D S, Spicer D S. A staggered mesh algorithm using high order Godnov fluxes to ensure solenoidal magnetic fields in magnetohydrodynamic simulations[J]. J Comput Phys, 1999, 149(2): 270-292.

[28] Stygar W A, Ives H C, Fehl D L, et al. X-ray emission from Z-pinches at 107 A: Current scaling, gap closure, and shot-to-shot fluctuations[J]. Physical Review E, 2004, 69: 046403.

[29] Deng J J, Xie W P, Feng S P, et al. Initial performance of the primary test stand[J]. IEEE Trans Plasma Sci, 2013, 41(10): 2580-2583.

[30] 段书超, 谢卫平, 李晶, 等. 丝阵Z箍缩辐射性能数值模拟[C]//中国计算力学大会. 2014. (Duan Shuchao, Xie Weiping, Li Jing, et al. Numerial simulation of radiation from wire array Z-pinch//Proc of Chinese Conference on Computational Mechanics. 2014)

段书超, 王刚华, 谢卫平, 阚明先, 李晶, 邹文康, 徐强, 但加坤. FOI-PERFECT程序对电磁驱动高能量密度系统的三维弛豫磁流体力学模拟[J]. 强激光与粒子束, 2016, 28(4): 045014. Duan Shuchao, Wang Ganghua, Xie Weiping, Kan Mingxian, Li Jing, Zou Wenkang, Xu Qiang, Dan Jiakun. 3D relaxation MHD modeling with FOI-PERFECT code for electromagnetically driven HED systems[J]. High Power Laser and Particle Beams, 2016, 28(4): 045014.

本文已被 1 篇论文引用
被引统计数据来源于中国光学期刊网
引用该论文: TXT   |   EndNote

相关论文

加载中...

关于本站 Cookie 的使用提示

中国光学期刊网使用基于 cookie 的技术来更好地为您提供各项服务,点击此处了解我们的隐私策略。 如您需继续使用本网站,请您授权我们使用本地 cookie 来保存部分信息。
全站搜索
您最值得信赖的光电行业旗舰网络服务平台!