Numerical study of non-uniformity effect on Richtmyer-Meshkov instability induced by non-planar shock wave

WANG Zhen; WANG Tao; BAI Jingsong; XIAO Jiaxin

doi:10.11883/bzycj-2018-0342

Volume 39 Issue 4

Mar. 2019

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Article Navigation > Explosion And Shock Waves > 2019 > 39(4): 041407

WANG Zhen, WANG Tao, BAI Jingsong, XIAO Jiaxin. Numerical study of non-uniformity effect on Richtmyer-Meshkov instability induced by non-planar shock wave[J]. Explosion And Shock Waves, 2019, 39(4): 041407. doi: 10.11883/bzycj-2018-0342

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WANG Zhen, WANG Tao, BAI Jingsong, XIAO Jiaxin. Numerical study of non-uniformity effect on Richtmyer-Meshkov instability induced by non-planar shock wave[J]. Explosion And Shock Waves, 2019, 39(4): 041407. doi: 10.11883/bzycj-2018-0342

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Numerical study of non-uniformity effect on Richtmyer-Meshkov instability induced by non-planar shock wave

doi: 10.11883/bzycj-2018-0342

WANG Zhen^1
,,
WANG Tao¹,
BAI Jingsong^{1, 2
,
,},
XIAO Jiaxin³

1.
Institute of Fluid Physics, China Academy of Engineeing Physics, Mianyang 621999, Sichuan, China
2.
National Key Laboratory of Shock Wave and Detonation Physics, Institute of Fluid Physics, China Academy of Engineeing Physics, Mianyang 621999, Sichuan, China
3.
Science and Technology on Space Physics Laboratory, Beijing 100076, China

Received Date: 2018-09-11
Rev Recd Date: 2019-01-18

Available Online: 2019-04-25

Publish Date: 2019-04-01

Abstract

Abstract

Based on the Navier-Stokes equations, the large-eddy simulation code MVFT (multi-viscous-flow and turbulence) was applied to numerically study the Richtmyer-Meshkov instability (i.e. RMI) for a perturbed interface, which is driven by a non-planar shock wave with Ma=1.25 in uniform and non-uniform flows with Gaussian distribution of the initial density. The simulation results show that the interface evolution of the RMI induced by non-planar shock wave is affected by the non-uniformity of the initial flows. Before reshock, the growth of the disturbed interface increases with the increasing of the non-uniformity flow field for either φ=0 or φ=π. However, these discrepancies are reduced as the flow enters the turbulent mixing. Further quantitative analysis of the circulations and high-order fluctuating velocity correlation in the flow field reveal the mechanisms for the aforementioned regulations. In addition, it is found that the interface evolution of the RMI induced by non-planar shock wave is different from that driven by planar shock wave. The mechanism for the difference is the influence of the initial vorticity of non-planar shock wave and the vorticity generated by the shock-interface.
- Richtmyer-Meshkov instability,
- non-uniform flow,
- non-planar shock wave,
- larger-eddy simulation

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References

[1]	RICHTMYER R D. Taylor instability in shock acceleration of compressible fluids [J]. Communications on Pure and Applied Mathematics, 1960, 13(2): 297–319. DOI: 10.1002/cpa.3160130207.
[2]	ARNETT D. The role of mixing in astrophysics [J]. The Astrophysical Journal Supplement Series, 2000, 127(2): 213–217. DOI: 10.1086/313364.
[3]	YANG J, KUBOTA T, ZUKOSKI E E. Applications of shock-induced mixing to supersonic combustion [J]. AIAA Journal, 1993, 31(5): 854–862. DOI: 10.2514/3.11696.
[4]	AMENDT P, COLVIN J D, TIPTON R E, et al. Indirect-drive noncryogenic double-shell ignition targets for the national ignition facility: Design and analysis [J]. Physics of Plasmas, 2002, 9(5): 2221–2233. DOI: 10.1063/1.1459451.
[5]	ZOU L Y, LIU C L, TAN D W, et al. On interaction of shock wave with elliptic gas cylinder [J]. Journal of Visualization, 2010, 13(4): 347–353. DOI: 10.1007/s12650-010-0053-y.
[6]	BAI J S, ZOU L Y, WANG T, et al. Experimental and numerical study of shock-accelerated elliptic heavy gas cylinders [J]. Physical Review E, 2010, 82(2): 056318. DOI: 10.1103/PhysRevE.82.056318.
[7]	BAI J S, LIU J H, WANG T, et al. Investigation of the Richtmyer-Meshkov instability with double perturbation interface in nonuniform flows [J]. Physical Review E, 2010, 81(2): 056302. DOI: 10.1103/PhysRevE.81.056302.
[8]	XIAO J X, BAI J S, WANG T. Numerical study of initial perturbation effects on Richtmyer-Meshkov instability in nonuniform flows [J]. Physical Review E, 2016, 94(1): 013112. DOI: 10.1103/PhysRevE.94.013112.
[9]	肖佳欣, 柏劲松, 王涛. 密度非均匀流场中冲击加载双模态界面失稳现象的数值模拟 [J]. 高压物理学报, 2018, 32(1): 82–90. DOI: 10.11858/gywlxb.20170501 XIAO Jiaxin, BAI Jingsong, WANG Tao. Numerical study of shock wave impacting on the double-mode interface in nonuniform flows [J]. Chinese Journal of High Pressure Physics, 2018, 32(1): 82–90. DOI: 10.11858/gywlxb.20170501
[10]	BAI J S, WANG B, WANG T, et al. Numerical simulation of the Richtmyer-Meshkov instability in initially nonuniform flows and mixing with reshock [J]. Physical Review E, 2012, 86(2): 066319. DOI: 10.1103/PhysRevE.86.066319.
[11]	ISHIZAKI R, NISHIHARA K, SAKAGAMI H, et al. Instability of a contact surface driven by a nonuniform shock wave [J]. Physical Review E, 1996, 53(6): R5592. DOI: 10.1103/PhysRevE.53.R5592.
[12]	KANE J O, ROBEY H F, REMINGTON B A, et al. Interface imprinting by a rippled shock using an intense laser [J]. Physical Review E, 2001, 63(2): 055401. DOI: 10.1103/PhysRevE.63.055401.
[13]	ZOU L Y, LIU J H, LIAO S F, et al. Richtmyer-Meshkov instability of a flat interface subjected to a rippled shock wave [J]. Physical Review E, 2017, 95(1): 013107. DOI: 10.1103/PhysRevE.95.013107.
[14]	ZHAI Z G, LIANG Y, LIU L L, et al. Interaction of rippled shock wave with flat fast-slow interface [J]. Physics of Fluids, 2018, 30(4): 046104. DOI: 10.1063/1.5024774.
[15]	柏劲松, 李平, 王涛, 等. 可压缩多介质粘性流体的数值计算 [J]. 爆炸与冲击, 2007, 27(6): 515–521. DOI: 10.11883/1001-1455(2007)06-0515-07 BAI Jingsong, LI Ping, WANG Tao, et al. Computation of compressible multi-viscosity-fluid flows [J]. Explosion and Shock Waves, 2007, 27(6): 515–521. DOI: 10.11883/1001-1455(2007)06-0515-07
[16]	王涛, 柏劲松, 李平, 等. 再冲击载荷作用下流动混合的数值模拟 [J]. 爆炸与冲击, 2009, 29(3): 243–248. DOI: 10.11883/1001-1455(2009)03-0243-06 WANG Tao, BAI Jingsong, LI Ping, et al. Numerical simulation of flow mixing impacted by reshock [J]. Explosion and Shock Waves, 2009, 29(3): 243–248. DOI: 10.11883/1001-1455(2009)03-0243-06
[17]	柏劲松, 王涛, 邹立勇, 等. 可压缩多介质粘性流体和湍流的大涡模拟 [J]. 爆炸与冲击, 2010, 30(3): 262–268. DOI: 10.11883/1001-1455(2010)03-0262-07 BAI Jingsong, WANG Tao, ZOU Liyong, et al. Large eddy simulation for the multi-viscosity-fluid and turbulence [J]. Explosion and Shock Waves, 2010, 30(3): 262–268. DOI: 10.11883/1001-1455(2010)03-0262-07
[18]	王涛, 李平, 柏劲松, 等. 低密度流体界面不稳定性大涡模拟 [J]. 爆炸与冲击, 2013, 33(5): 487–493. DOI: 10.11883/1001-1455(2013)05-0487-07 WANG Tao, LI Ping, BAI Jingsong, et al. Large-eddy simulation of interface instability of low-density fluids [J]. Explosion and Shock Waves, 2013, 33(5): 487–493. DOI: 10.11883/1001-1455(2013)05-0487-07
[19]	VREMAN A W. An eddy-viscosity subgrid-scale model for turbulent shear flow: Algebraic theory and applications [J]. Physics of Fluids, 2004, 16(10): 3670–3681. DOI: 10.1063/1.1785131.
[20]	BAI J S, WANG T, LI P, et al. Numerical simulation of the hydrodynamic instability experiments and flow mixing [J]. Science in China Series G: Physics, Mechanics & Astronomy, 2009, 52(12): 2027–2040. DOI: 10.1007/s11433-009-0277-9.

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