On modeling Richtmyer–Meshkov turbulent mixing widths

Mikaelian, Karnig O.; Olson, Britton J.

doi:10.1016/j.physd.2019.132243

Title: On modeling Richtmyer–Meshkov turbulent mixing widths

Journal Article · Mon Oct 28 00:00:00 EDT 2019 · Physica. D, Nonlinear Phenomena

DOI:https://doi.org/10.1016/j.physd.2019.132243· OSTI ID:1670553

Mikaelian, Karnig O. ^[1]; Olson, Britton J. ^[1]

Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)

In this paper, we present several observations concerning the Richtmyer- Meshkov mixing widths after a shock or reshock passes through the interface between two fluids. The mixing evolves with two oppositely-moving fronts: A bubble (b) side into the heavier fluid and a spike (s) side into the lighter fluid. Our first observation concerns the reference surface used to partition the total mix width, h^b+s, into separate h^b and h^s widths. Next, we point out that if and when h^b and h^s obey power-laws t^$$\theta$$ with separate $$\theta$$^b and $$\theta$$^s, then h^b+s cannot be given, except as an approximation, by a single $$\theta$$^b+s. Finally, we describe a fully continuous model for hⁱ(t), i = b, s, or b + s, as the solution to the “drag equation” with a time-dependent $$\theta$$ⁱ(t).

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Research Organization:: Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA)

Grant/Contract Number:: AC52-07NA27344

OSTI ID:: 1670553

Alternate ID(s):: OSTI ID: 1580638

Report Number(s):: LLNL-JRNL-781430; 976217; TRN: US2203862

Journal Information:: Physica. D, Nonlinear Phenomena, Vol. 402, Issue na; ISSN 0167-2789

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 5 works

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References (24)

A comparative study of the turbulent Rayleigh–Taylor instability using high-resolution three-dimensional numerical simulations: The Alpha-Group collaboration Dimonte, Guy; Youngs, D. L.; Dimits, A. Physics of Fluids, Vol. 16, Issue 5 https://doi.org/10.1063/1.1688328	journal	May 2004
Density ratio dependence of Rayleigh–Taylor mixing for sustained and impulsive acceleration histories Dimonte, Guy; Schneider, Marilyn Physics of Fluids, Vol. 12, Issue 2 https://doi.org/10.1063/1.870309	journal	February 2000
Density gradient stabilization of the Richtmyer–Meshkov instability Mikaelian, Karnig O. Physics of Fluids A: Fluid Dynamics, Vol. 3, Issue 11 https://doi.org/10.1063/1.858152	journal	November 1991
Testing an analytic model for Richtmyer–Meshkov turbulent mixing widths Mikaelian, K. O. Shock Waves, Vol. 25, Issue 1 https://doi.org/10.1007/s00193-014-0537-0	journal	November 2014
Late-time growth rate, mixing, and anisotropy in the multimode narrowband Richtmyer–Meshkov instability: The θ -group collaboration Thornber, B.; Griffond, J.; Poujade, O. Physics of Fluids, Vol. 29, Issue 10 https://doi.org/10.1063/1.4993464	journal	October 2017
Extended model for Richtmyer–Meshkov mix Mikaelian, Karnig O. Physica D: Nonlinear Phenomena, Vol. 240, Issue 11 https://doi.org/10.1016/j.physd.2011.01.008	journal	May 2011
Capsule modeling of high foot implosion experiments on the National Ignition Facility Clark, D. S.; Kritcher, A. L.; Milovich, J. L. Plasma Physics and Controlled Fusion, Vol. 59, Issue 5 https://doi.org/10.1088/1361-6587/aa6216	journal	March 2017
Turbulent mixing and transition criteria of flows induced by hydrodynamic instabilities Zhou, Ye; Clark, Timothy T.; Clark, Daniel S. Physics of Plasmas, Vol. 26, Issue 8 https://doi.org/10.1063/1.5088745	journal	August 2019
Turbulent mixing induced by Richtmyer-Meshkov instability Krivets, V. V.; Ferguson, K. J.; Jacobs, J. W. SHOCK COMPRESSION OF CONDENSED MATTER - 2015: Proceedings of the Conference of the American Physical Society Topical Group on Shock Compression of Condensed Matter, AIP Conference Proceedings https://doi.org/10.1063/1.4971732	conference	January 2017
Instability of the interface of two gases accelerated by a shock wave Meshkov, E. E. Fluid Dynamics, Vol. 4, Issue 5 https://doi.org/10.1007/BF01015969	journal	January 1972
Reynolds number effects on Rayleigh–Taylor instability with possible implications for type Ia supernovae Cabot, William H.; Cook, Andrew W. Nature Physics, Vol. 2, Issue 8 https://doi.org/10.1038/nphys361	journal	July 2006
The instability of liquid surfaces when accelerated in a direction perpendicular to their planes. I Taylor, Geoffrey Ingram Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, Vol. 201, Issue 1065, p. 192-196 https://doi.org/10.1098/rspa.1950.0052	journal	March 1950
Analysis of NIF experiments with the minimal energy implosion model Cheng, B.; Kwan, T. J. T.; Wang, Y. M. Physics of Plasmas, Vol. 22, Issue 8 https://doi.org/10.1063/1.4928093	journal	August 2015
Turbulent mixing generated by Rayleigh-Taylor and Richtmyer-Meshkov instabilities Mikaelian, Karnig O. Physica D: Nonlinear Phenomena, Vol. 36, Issue 3 https://doi.org/10.1016/0167-2789(89)90089-4	journal	August 1989
Experiments on the Richtmyer-Meshkov instability of an air/SF6 interface Vetter, M.; Sturtevant, B. Shock Waves, Vol. 4, Issue 5 https://doi.org/10.1007/BF01416035	journal	March 1995
Large eddy simulation requirements for the Richtmyer-Meshkov instability Olson, Britton J.; Greenough, Jeff Physics of Fluids, Vol. 26, Issue 4 https://doi.org/10.1063/1.4871396	journal	April 2014
Taylor instability in shock acceleration of compressible fluids Richtmyer, Robert D. Communications on Pure and Applied Mathematics, Vol. 13, Issue 2 https://doi.org/10.1002/cpa.3160130207	journal	May 1960
Experimental and numerical investigation of the Richtmyer–Meshkov instability under re-shock conditions Leinov, E.; Malamud, G.; Elbaz, Y. Journal of Fluid Mechanics, Vol. 626 https://doi.org/10.1017/S0022112009005904	journal	May 2009
Numerical simulation of turbulent mixing by Rayleigh-Taylor instability Youngs, David L. Physica D: Nonlinear Phenomena, Vol. 12, Issue 1-3 https://doi.org/10.1016/0167-2789(84)90512-8	journal	July 1984
Rayleigh–Taylor mixing: direct numerical simulation and implicit large eddy simulation Youngs, David L. Physica Scripta, Vol. 92, Issue 7 https://doi.org/10.1088/1402-4896/aa732b	journal	June 2017
Experiments on the Richtmyer–Meshkov instability with an imposed, random initial perturbation Jacobs, J. W.; Krivets, V. V.; Tsiklashvili, V. Shock Waves, Vol. 23, Issue 4 https://doi.org/10.1007/s00193-013-0436-9	journal	March 2013
Effects of initial condition spectral content on shock-driven turbulent mixing Nelson, Nicholas J.; Grinstein, Fernando F. Physical Review E, Vol. 92, Issue 1 https://doi.org/10.1103/PhysRevE.92.013014	journal	July 2015
Experimental investigation of turbulent mixing by Rayleigh-Taylor instability Read, K. I. Physica D: Nonlinear Phenomena, Vol. 12, Issue 1-3 https://doi.org/10.1016/0167-2789(84)90513-X	journal	July 1984
Power Laws and Similarity of Rayleigh-Taylor and Richtmyer-Meshkov Mixing Fronts at All Density Ratios Alon, U.; Hecht, J.; Ofer, D. Physical Review Letters, Vol. 74, Issue 4 https://doi.org/10.1103/PhysRevLett.74.534	journal	January 1995

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