Volume 33 Issue 1
Jan 2019
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WANG Tao, WANG Bing, LIN Jianyu, BAI Jingsong, LI Ping, ZHONG Min, TAO Gang. Computational Analysis of RM Instability with Inverse Chevron Interface[J]. Chinese Journal of High Pressure Physics, 2019, 33(1): 012302. doi: 10.11858/gywlxb.20180575
Citation: WANG Tao, WANG Bing, LIN Jianyu, BAI Jingsong, LI Ping, ZHONG Min, TAO Gang. Computational Analysis of RM Instability with Inverse Chevron Interface[J]. Chinese Journal of High Pressure Physics, 2019, 33(1): 012302. doi: 10.11858/gywlxb.20180575

Computational Analysis of RM Instability with Inverse Chevron Interface

doi: 10.11858/gywlxb.20180575
  • Received Date: 05 Jun 2018
  • Rev Recd Date: 28 Jun 2018
  • By using our in-house large-eddy simulation code, the MVFT (multi-viscous-flow and turbulence), we simulated the Richtmyer-Meshkov (RM) instability and turbulent mixed with the inverse chevron interface on a 3D large scale on the HPC (high performance computing) platform. The results revealed the propagations of the decomposed shock wave, the rarefaction wave, the compression wave and the interactions between the waves and the perturbed interface. Each impact of on the wave on the interface accelerates the evolution of the turbulent mixing zone and the materials’ mixing. The inverse chevron interface inverts its phase after the first transmitted shock wave in the SF6 zone hits it, then two wall bubbles and a centerline spike with large scale develop gradually. The averaged geometry feature and the envelop of turbulent mixing zone are determined by the large-scale wall bubbles and the centerline spike and are independent of the mesh. But with the higher grid resolution, more subtle small scale turbulent eddies and intense turbulent fluctuations are captured, characterizing the turbulent mixing zone as possessing a complex structure.

     

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  • [1]
    RICHTMYER R D. Taylor instability in a shock acceleration of compressible of fluids [J]. Communications on Pure and Applied Mathematics, 1960, 13: 297–319. doi: 10.1002/(ISSN)1097-0312
    [2]
    MESHKOV E E. Instability of the interface of two gases accelerated by a shock wave [J]. Fluid Dynamics, 1969, 4(5): 101–104.
    [3]
    CHANDRASEKHAR S. Hydrodynamic and hydromagnetic stability [M]. London: Oxford University, 1961.
    [4]
    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: 10.3321/j.issn:1001-1455.2009.03.004

    WANG T, BAI J S, LI P, et al. Numerical simulation of flow mixing impacted by reshock [J]. Explosion and Shock Waves, 2009, 29(3): 243–248 doi: 10.3321/j.issn:1001-1455.2009.03.004
    [5]
    WANG T, BAI J S, LI P, et al. The numerical study of shock-induced hydrodynamic instability and mixing [J]. Chinese Physics B, 2009, 18(3): 1127–1135. doi: 10.1088/1674-1056/18/3/048
    [6]
    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.
    [7]
    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(6): 066319. doi: 10.1103/PhysRevE.86.066319
    [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]
    LEINOV E, MALAMUD G, ELBAZ Y, et al. Experimental and numerical investigation of the Richtmyer–Meshkov instability under re-shock conditions [J]. Journal of Fluid Mechanics, 2009, 626: 449–475. doi: 10.1017/S0022112009005904
    [10]
    THORNBER B, DRIKAKIS D, YOUNGS D L, et al. The influence of initial conditions on turbulent mixing due to Richtmyer–Meshkov instability [J]. Journal of Fluid Mechanics, 2010, 654: 99–139. doi: 10.1017/S0022112010000492
    [11]
    LATINI M, SCHILLING O, DON W S. Richtmyer-Meshkov instability-induced mixing: initial conditions modeling, three-dimensional simulation and comparisons to experiment: UCRL-CONF-227160 [R]. Livermore: Lawrence Livermore National Laboratory, 2007.
    [12]
    SCHILLING O, LATINI M. High-order WENO simulations of three-dimensional reshocked Richtmyer–Meshkov instability to late times: dynamics, dependence on initial conditions, and comparisons to experimental data [J]. Acta Mathematica Scientia, 2010, 30(2): 595–620. doi: 10.1016/S0252-9602(10)60064-1
    [13]
    MALAMUD G, LEINOV E, SADOT O, et al. Reshocked Richtmyer-Meshkov instability: numerical study and modeling of random multi-mode experiments [J]. Physics of Fluids, 2014, 26(8): 084107. doi: 10.1063/1.4893678
    [14]
    MIKAELIAN K O. Testing an analytic model for Richtmyer–Meshkov turbulent mixing widths [J]. Shock Waves, 2015, 25(1): 35–45. doi: 10.1007/s00193-014-0537-0
    [15]
    SI T, LONG T, ZHAI Z, et al. Experimental investigation of cylindrical converging shock waves interacting with a polygonal heavy gas cylinder [J]. Journal of Fluid Mechanics, 2015, 784: 225–251. doi: 10.1017/jfm.2015.581
    [16]
    LIANG Y, DING J, ZHAI Z, et al. Interaction of cylindrically converging diffracted shock with uniform interface [J]. Physics of Fluids, 2017, 29(8): 086101. doi: 10.1063/1.4997071
    [17]
    HILL D J, PANTANO C, PULLIN D I. Large-eddy simulation and multiscale modelling of a Richtmyer–Meshkov instability with reshock [J]. Journal of Fluid Mechanics, 2006, 557: 29–61. doi: 10.1017/S0022112006009475
    [18]
    GRINSTEIN F F, GOWARDHAN A A, WACHTOR A J. Simulations of Richtmyer–Meshkov instabilities in planar shock-tube experiments [J]. Physics of Fluids, 2011, 23(3): 034106. doi: 10.1063/1.3555635
    [19]
    WEBER C, HAEHN N, OAKLEY J, et al. Turbulent mixing measurements in the Richtmyer-Meshkov instability [J]. Physics of Fluids, 2012, 24(7): 074105. doi: 10.1063/1.4733447
    [20]
    TRITSCHLER V K, OLSON B J, LELE S K, et al. On the Richtmyer–Meshkov instability evolving from a deterministic multimode planar interface [J]. Journal of Fluid Mechanics, 2014, 755: 429–462. doi: 10.1017/jfm.2014.436
    [21]
    WANG T, BAI J S, LI P, et al. Large-eddy simulations of the multi-mode Richtmyer–Meshkov instability and turbulent mixing under reshock [J]. High Energy Density Physics, 2016, 19: 65–75. doi: 10.1016/j.hedp.2016.03.001
    [22]
    WANG T, TAO G, BAI J, et al. Dynamical behavior of the Richtmyer–Meshkov instability-induced turbulent mixing under multiple shock interactions [J]. Canadian Journal of Physics, 2017, 95(8): 671–681. doi: 10.1139/cjp-2016-0633
    [23]
    MOHAGHAR M, CARTER J, MUSCI B, et al. Evaluation of turbulent mixing transition in a shock-driven variable-density flow [J]. Journal of Fluid Mechanics, 2017, 831: 779–825. doi: 10.1017/jfm.2017.664
    [24]
    BANERJEE A, GORE R A, ANDREWS M J. Development and validation of a turbulent-mix model for variable-density and compressible flows [J]. Physical Review E, 2010, 82(4): 046309. doi: 10.1103/PhysRevE.82.046309
    [25]
    CABOT W H, COOK A W. Reynolds number effects on Rayleigh–Taylor instability with possible implications for type-Ia supernovae [J]. Nature Physics, 2006, 2(8): 562–568. doi: 10.1038/nphys361
    [26]
    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
    [27]
    HOLDER D A, BARTON C J. Shock tube Richtmyer-Meshkov experiments: inverse chevron and half height [C]// Proceedings of the 9th International Workshop on Physics of Compressible Turbulent Mixing. Cambridge, UK, 2004.
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