Numerical simulation of influence of different initial magnetic fields on process of shock wave shocking R22 heavy gas column

LIN Zhenya; GUO Zeqing; ZHANG Huanhao; CHEN Zhihua; LIU Ying

doi:10.11883/bzycj-2016-0256

Volume 38 Issue 2

Jan. 2018

Turn off MathJax

Article Contents

Article Navigation > Explosion And Shock Waves > 2018 > 38(2): 409-418

LIN Zhenya, GUO Zeqing, ZHANG Huanhao, CHEN Zhihua, LIU Ying. Numerical simulation of influence of different initial magnetic fields on process of shock wave shocking R22 heavy gas column[J]. Explosion And Shock Waves, 2018, 38(2): 409-418. doi: 10.11883/bzycj-2016-0256

Citation:

LIN Zhenya, GUO Zeqing, ZHANG Huanhao, CHEN Zhihua, LIU Ying. Numerical simulation of influence of different initial magnetic fields on process of shock wave shocking R22 heavy gas column[J]. Explosion And Shock Waves, 2018, 38(2): 409-418. doi: 10.11883/bzycj-2016-0256

Citation:

LIN Zhenya, GUO Zeqing, ZHANG Huanhao, CHEN Zhihua, LIU Ying. Numerical simulation of influence of different initial magnetic fields on process of shock wave shocking R22 heavy gas column[J]. Explosion And Shock Waves, 2018, 38(2): 409-418. doi: 10.11883/bzycj-2016-0256

PDF( 3839 KB)

Numerical simulation of influence of different initial magnetic fields on process of shock wave shocking R22 heavy gas column

doi: 10.11883/bzycj-2016-0256

National Key Laboratory of Transient Physics, Nanjing University of Science and Technology, Nanjing 210094, Jiangsu, China

Received Date: 2016-08-24
Rev Recd Date: 2017-02-09
Publish Date: 2018-03-25

Abstract

Abstract

In this paper, the process of the plane incident shock wave shocking a magnetized R22 heavy circular gas column with different initial magnetic field was numerically studied based on the magneto-hydrodynamic (MHD) equation and CTU+CT method. The numerical results clearly describe the development of the instabilities induced by the shock waves on the interface of the R22 gas column with different initial magnetic field, and reveal the mechanism of the magnetic field governing the instabilities. In addition, the influence of different magnetic field strengths on the instabilities was analyzed, and it was found that when the magnetic field strength is small, the vortex layer attaches to the interface; that, with the increase of the magnetic field strength, the vortex layer gradually separates from the interface and the mean vorticity increases; and, finally, that the instabilities on the interface are brought under control. Meanwhile, with the increase of the magnetic field, the average enstrophy decreases, and the vertical magnetic field exerts a better inhibition effect on the average enstrophy than the parallel magnetic field. Thus the average enstrophy can fairly well reflect the effect of the magnetic field on the instabilities.
- magneto-hydrodynamic equation,
- vorticity,
- magnetic field,
- instability,
- shock wave

FullText(HTML)

References(20)

References

[1]	BROUILLETTE M. The Richtmyer-Meshkov instability[J]. Annual Review of Fluid Mechanics, 2002, 34:445-468. doi: 10.1146/annurev.fluid.34.090101.162238
[2]	HAAS J F, STURTEVANT B. Interaction of weak shock waves with cylindrical and spherical gas inhomogeneities[J]. Journal of Fluid Mechanics, 1987, 181:41-76. doi: 10.1017/S0022112087002003
[3]	TOMKINS C, KUMAR S, ORLICZ G, et al. An experimental investigation of mixing mechanisms in shock-accelerated flow[J]. Journal of Fluid Mechanics, 2008, 611:131-150. http://adsabs.harvard.edu/abs/2008JFM...611..131T
[4]	范美如, 翟志刚, 司廷, 等.激波与不同形状界面作用的数值模拟[J].中国科学:物理学、力学、天文学, 2011, 41(7):862-869. http://kns.cnki.net/KCMS/detail/detail.aspx?filename=jgxk201107009&dbname=CJFD&dbcode=CJFQ FAN Meiru, ZHAI Zhigang, SI Ting, et al. Numerical simulation of interaction with different shape accelerated by a planar shock[J]. Scientia Sinica: Physica, Mechanica & Astronomica, 2011, 41(7):862-869. http://kns.cnki.net/KCMS/detail/detail.aspx?filename=jgxk201107009&dbname=CJFD&dbcode=CJFQ
[5]	FAN M R, ZHAI Z G, SI T, et al. Numerical study on the evolution of the shock-accelerated SF 6 interface: Influence of the interface shape[J]. Science China: Physics, Mechanics & Astronomy, 2012, 55(2):284-296. http://kns.cnki.net/KCMS/detail/detail.aspx?filename=jgxg201202016&dbname=CJFD&dbcode=CJFQ
[6]	王显圣, 司廷, 罗喜胜, 等.反射激波冲击重气柱的RM不稳定性数值研究[J].力学学报, 2012, 44(4):664-672. http://kns.cnki.net/KCMS/detail/detail.aspx?filename=lxxb201204003&dbname=CJFD&dbcode=CJFQ WANG Xiansheng, SI Ting, LUO Xisheng, et al. Numerical study on the RM instability of a heavy-gas cylinder interacted with reshock[J]. Chinese Journal of Theoretical and Applied Mechanics, 2012, 44(4):664-672. http://kns.cnki.net/KCMS/detail/detail.aspx?filename=lxxb201204003&dbname=CJFD&dbcode=CJFQ
[7]	SI T, ZHAI Z, YANG J, et al. Experimental investigation of reshocked spherical gas interfaces[J]. Physics of Fluids, 2012, 24(5):054101. doi: 10.1063/1.4711866
[8]	CHANDRASEKHAR S. Hydrodynamic and hydromagnetic stability[M]. Courier Dover Publications, 2013:441-453.
[9]	WHEATLEY V, PULLIN D I, SAMTANEY R. Stability of an impulsively accelerated density interface in magnetohydrodynamics[J]. Physical Review Letters, 2005, 95(12):125002. doi: 10.1103/PhysRevLett.95.125002
[10]	WHEATLEY V, SAMTANEY R, PULLIN D I. The magnetohydrodynamic Richtmyer-Meshkov instability: The transverse field case[C]//The 18th Australasian Fluid Mechanics Conference. Australasian Fluid Mechanics Society, 2012.
[11]	CAO J, WU Z, REN H, et al. Effects of shear flow and transverse magnetic field on Richtmyer-Meshkov instability[J]. Physics of Plasmas, 2008, 15(4):042102. doi: 10.1063/1.2842367
[12]	KHAN M, MANDAL L, BANERJEE R, et al. Development of Richtmyer-Meshkov and Rayleigh-Taylor instability in the presence of magnetic field[J]. Nuclear Instruments and Methods in Physics Research Section: Accelerators, Spectrometers, Detectors and Associated Equipment, 2011, 653(1):2-6. doi: 10.1016/j.nima.2011.02.086
[13]	SHIN M S, STONE J M, SNYDER G F. The magnetohydrodynamics of shock-cloud interaction in three dimensions[J]. The Astrophysical Journal, 2008, 680(1):336-348. doi: 10.1086/529160
[14]	李源, 罗喜胜.黏性、表面张力和磁场对Rayleigh-Taylor不稳定性气泡演化影响的理论分析[J].物理学报, 2014, 63(8):277-285. http://kns.cnki.net/KCMS/detail/detail.aspx?filename=wlxb201408037&dbname=CJFD&dbcode=CJFQ LI Yuan, LUO Xisheng. Theoretical analysis of effects of viscosity, surface tension, and magnetic field on the bubble evolution of Rayleigh-Taylor instability[J]. Acta Physica Sinica, 2014, 63(8):277-285. http://kns.cnki.net/KCMS/detail/detail.aspx?filename=wlxb201408037&dbname=CJFD&dbcode=CJFQ
[15]	林震亚, 张焕好, 陈志华, 等.磁场对激波冲击R22重气柱作用过程影响的数值模拟[J].爆炸与冲击, 2017, 37(4):748-758. http://www.bzycj.cn/CN/abstract/abstract9778.shtml LIN Zhenya, ZHANG Huanhao, CHEN Zhihua, et al. Influence of magnetic field on interaction of shock wave with R22 heavy gas column[J]. Explosion and Shock Waves, 2017, 37(4):748-758. http://www.bzycj.cn/CN/abstract/abstract9778.shtml
[16]	SALTZMAN J. An unsplit 3D upwind method for hyperbolic conservation laws[J]. Journal of Computational Physics, 1994, 115(1):153-168. doi: 10.1006/jcph.1994.1184
[17]	GARDINER T A, STONE J M. An unsplit Godunov method for ideal MHD via constrained transport in three dimensions[J]. Journal of Computational Physics, 2008, 227(8):4123-4141. doi: 10.1016/j.jcp.2007.12.017
[18]	沙莎, 陈志华, 薛大文.激波冲击R22重气柱所导致的射流与混合研究[J].物理学报, 2013, 62(14):291-300. http://kns.cnki.net/KCMS/detail/detail.aspx?filename=wlxb201314045&dbname=CJFD&dbcode=CJFQ SHA Sha, CHEN Zhihua, XUE Dawen. The generation of jet and mixing induced by the interaction of shock wave with R22 cylinder[J]. Acta Physica Sinica, 2013, 62(14):291-300. http://kns.cnki.net/KCMS/detail/detail.aspx?filename=wlxb201314045&dbname=CJFD&dbcode=CJFQ
[19]	HAAS J F, STURTEVANT B. Interaction of weak shock waves with cylindrical and spherical gas inhomogeneities[J]. Journal of Fluid Mechanics, 1987, 181:41-76. doi: 10.1017/S0022112087002003
[20]	HERRING J R, KERR R M. Development of enstrophy and spectra in numerical turbulence[J]. Physics of Fluids: Fluid Dynamics, 1993, 5(11):2792-2798. doi: 10.1063/1.858741