Turbulent mixing and transition criteria of flows induced by hydrodynamic instabilities

Zhou, Ye; Clark, Timothy T.; Clark, Daniel S.; Glendinning, S. Gail; Skinner, M. Aaron; Huntington, Channing M.; Hurricane, Omar A.; Dimits, Andris M.; Remington, Bruce A.

doi:10.1063/1.5088745

Title: Turbulent mixing and transition criteria of flows induced by hydrodynamic instabilities

Journal Article · 31 August 2019 · Physics of Plasmas

DOI: https://doi.org/10.1063/1.5088745 · OSTI ID:1569177

Zhou, Ye ^[1]; Clark, Timothy T. ^[2];

^[1]; Glendinning, S. Gail ^[1];

^[1];

^[1]

Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
Univ. of New Mexico, Albuquerque, NM (United States)

In diverse areas of science and technology, including inertial confinement fusion (ICF), astrophysics, geophysics, and engineering processes, turbulent mixing induced by hydrodynamic instabilities is of scientific interest as well as practical significance. Because of the fundamental roles they often play in ICF and other applications, three classes of hydrodynamic instability-induced turbulent flows—those arising from the Rayleigh-Taylor, Richtmyer-Meshkov, and Kelvin-Helmholtz instabilities—have attracted much attention. ICF implosions, supernova explosions, and other applications illustrate that these phases of instability growth do not occur in isolation, but instead are connected so that growth in one phase feeds through to initiate growth in a later phase. Essentially, a description of these flows must encompass both the temporal and spatial evolution of the flows from their inception. Hydrodynamic instability will usually start from potentially infinitesimal spatial perturbations, will eventually transition to a turbulent flow, and then will reach a final state of a true multiscale problem. Indeed, this change in the spatial scales can be vast, with hydrodynamic instability evolving from just a few microns to thousands of kilometers in geophysical or astrophysical problems. These instabilities will evolve through different stages before transitioning to turbulence, experiencing linear, weakly, and highly nonlinear states. Here, the challenges confronted by researchers are enormous. The inherent difficulties include characterizing the initial conditions of such flows and accurately predicting the transitional flows. Of course, fully developed turbulence, a focus of many studies because of its major impact on the mixing process, is a notoriously difficult problem in its own right. In this pedagogical review, we will survey challenges and progress, and also discuss outstanding issues and future directions.

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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:: 1569177

Report Number(s):: LLNL-JRNL--765064; 954699

Journal Information:: Physics of Plasmas, Journal Name: Physics of Plasmas Journal Issue: 8 Vol. 26; ISSN 1070-664X

Publisher:: American Institute of Physics (AIP)Copyright Statement

Country of Publication:: United States

Language:: English

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Electron transport in a collisional plasma with multiple ion species Simakov, Andrei N.; Molvig, Kim Physics of Plasmas, Vol. 21, Issue 2 https://doi.org/10.1063/1.4867183	journal	February 2014
Hydrodynamic instability growth and mix experiments at the National Ignition Facility Smalyuk, V. A.; Barrios, M.; Caggiano, J. A. Physics of Plasmas, Vol. 21, Issue 5 https://doi.org/10.1063/1.4872026	journal	May 2014
Observation and modeling of mixing-layer development in high-energy-density, blast-wave-driven shear flow Di Stefano, C. A.; Malamud, G.; Henry de Frahan, M. T. Physics of Plasmas, Vol. 21, Issue 5 https://doi.org/10.1063/1.4872223	journal	May 2014
The high-foot implosion campaign on the National Ignition Facility Hurricane, O. A.; Callahan, D. A.; Casey, D. T. Physics of Plasmas, Vol. 21, Issue 5 https://doi.org/10.1063/1.4874330	journal	May 2014
The link between shocks, turbulence, and magnetic reconnection in collisionless plasmas Karimabadi, H.; Roytershteyn, V.; Vu, H. X. Physics of Plasmas, Vol. 21, Issue 6 https://doi.org/10.1063/1.4882875	journal	June 2014
An in-flight radiography platform to measure hydrodynamic instability growth in inertial confinement fusion capsules at the National Ignition Facility Raman, K. S.; Smalyuk, V. A.; Casey, D. T. Physics of Plasmas, Vol. 21, Issue 7 https://doi.org/10.1063/1.4890570	journal	July 2014
Rayleigh-Taylor instability creates provocative images in painting de la Calleja, Elsa M.; Zetina, Sandra; Zenit, Roberto Physics of Fluids, Vol. 26, Issue 9 https://doi.org/10.1063/1.4894196	journal	September 2014
The effects of plasma diffusion and viscosity on turbulent instability growth Haines, Brian M.; Vold, Erik L.; Molvig, Kim Physics of Plasmas, Vol. 21, Issue 9 https://doi.org/10.1063/1.4895502	journal	September 2014
Comparison of two- and three-dimensional simulations of miscible Richtmyer-Meshkov instability with multimode initial conditions Olson, Britton J.; Greenough, Jeffrey A. Physics of Fluids, Vol. 26, Issue 10 https://doi.org/10.1063/1.4898157	journal	October 2014
Radiation hydrodynamics modeling of the highest compression inertial confinement fusion ignition experiment from the National Ignition Campaign Clark, D. S.; Marinak, M. M.; Weber, C. R. Physics of Plasmas, Vol. 22, Issue 2 https://doi.org/10.1063/1.4906897	journal	February 2015
Numerical simulations of the two-dimensional multimode Richtmyer-Meshkov instability Thornber, B.; Zhou, Y. Physics of Plasmas, Vol. 22, Issue 3 https://doi.org/10.1063/1.4915517	journal	March 2015
The Shock/Shear platform for planar radiation-hydrodynamics experiments on the National Ignition Facilitya) Doss, F. W.; Kline, J. L.; Flippo, K. A. Physics of Plasmas, Vol. 22, Issue 5 https://doi.org/10.1063/1.4918354	journal	May 2015
Probing the deep nonlinear stage of the ablative Rayleigh-Taylor instability in indirect drive experiments on the National Ignition Facilitya) Casner, A.; Masse, L.; Liberatore, S. Physics of Plasmas, Vol. 22, Issue 5 https://doi.org/10.1063/1.4918356	journal	May 2015
Validating hydrodynamic growth in National Ignition Facility implosionsa) Peterson, J. L.; Casey, D. T.; Hurricane, O. A. Physics of Plasmas, Vol. 22, Issue 5 https://doi.org/10.1063/1.4920952	journal	May 2015
Modifying mixing and instability growth through the adjustment of initial conditions in a high-energy-density counter-propagating shear experiment on OMEGA Merritt, E. C.; Doss, F. W.; Loomis, E. N. Physics of Plasmas, Vol. 22, Issue 6 https://doi.org/10.1063/1.4922910	journal	June 2015
Effects of magnetic fields on magnetohydrodynamic cylindrical and spherical Richtmyer-Meshkov instability Mostert, W.; Wheatley, V.; Samtaney, R. Physics of Fluids, Vol. 27, Issue 10 https://doi.org/10.1063/1.4932110	journal	October 2015
Three- and two-dimensional simulations of counter-propagating shear experiments at high energy densities at the National Ignition Facility Wang, Ping; Zhou, Ye; MacLaren, Stephan A. Physics of Plasmas, Vol. 22, Issue 11 https://doi.org/10.1063/1.4934612	journal	November 2015
Direct-drive inertial confinement fusion: A review Craxton, R. S.; Anderson, K. S.; Boehly, T. R. Physics of Plasmas, Vol. 22, Issue 11 https://doi.org/10.1063/1.4934714	journal	November 2015
Plasma viscosity with mass transport in spherical inertial confinement fusion implosion simulations Vold, E. L.; Joglekar, A. S.; Ortega, M. I. Physics of Plasmas, Vol. 22, Issue 11 https://doi.org/10.1063/1.4935906	journal	November 2015
Three-dimensional simulations of low foot and high foot implosion experiments on the National Ignition Facility Clark, D. S.; Weber, C. R.; Milovich, J. L. Physics of Plasmas, Vol. 23, Issue 5 https://doi.org/10.1063/1.4943527	journal	March 2016
Hydrodynamic description of an unmagnetized plasma with multiple ion species. I. General formulation Simakov, Andrei N.; Molvig, Kim Physics of Plasmas, Vol. 23, Issue 3 https://doi.org/10.1063/1.4943894	journal	March 2016
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Impact of domain size and statistical errors in simulations of homogeneous decaying turbulence and the Richtmyer-Meshkov instability Thornber, B. Physics of Fluids, Vol. 28, Issue 4 https://doi.org/10.1063/1.4944877	journal	April 2016
Three-dimensional modeling of direct-drive cryogenic implosions on OMEGA Igumenshchev, I. V.; Goncharov, V. N.; Marshall, F. J. Physics of Plasmas, Vol. 23, Issue 5 https://doi.org/10.1063/1.4948418	journal	May 2016
Role of density gradient driven trapped electron mode turbulence in the H-mode inner core with electron heating Ernst, D. R.; Burrell, K. H.; Guttenfelder, W. Physics of Plasmas, Vol. 23, Issue 5 https://doi.org/10.1063/1.4948723	journal	May 2016
Asymptotic behavior of the mixed mass in Rayleigh–Taylor and Richtmyer–Meshkov instability induced flows Zhou, Ye; Cabot, William H.; Thornber, Ben Physics of Plasmas, Vol. 23, Issue 5 https://doi.org/10.1063/1.4951018	journal	May 2016
Wavelet analysis methods for radiography of multidimensional growth of planar mixing layers Merritt, E. C.; Doss, F. W. Review of Scientific Instruments, Vol. 87, Issue 7 https://doi.org/10.1063/1.4955097	journal	July 2016
The late time structure of high density contrast, single mode Richtmyer-Meshkov flow Williams, R. J. R. Physics of Fluids, Vol. 28, Issue 7 https://doi.org/10.1063/1.4955428	journal	July 2016
Resolving hot spot microstructure using x-ray penumbral imaging (invited) Bachmann, B.; Hilsabeck, T.; Field, J. Review of Scientific Instruments, Vol. 87, Issue 11 https://doi.org/10.1063/1.4959161	journal	August 2016
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Plasma transport in an Eulerian AMR code Vold, E. L.; Rauenzahn, R. M.; Aldrich, C. H. Physics of Plasmas, Vol. 24, Issue 4 https://doi.org/10.1063/1.4979171	journal	April 2017
High-resolution modeling of indirectly driven high-convergence layered inertial confinement fusion capsule implosions Haines, Brian M.; Aldrich, C. H.; Campbell, J. M. Physics of Plasmas, Vol. 24, Issue 5 https://doi.org/10.1063/1.4981222	journal	May 2017
Observation of dual-mode, Kelvin-Helmholtz instability vortex merger in a compressible flow Wan, W. C.; Malamud, G.; Shimony, A. Physics of Plasmas, Vol. 24, Issue 5 https://doi.org/10.1063/1.4982061	journal	May 2017
The role of hot spot mix in the low-foot and high-foot implosions on the NIF Ma, T.; Patel, P. K.; Izumi, N. Physics of Plasmas, Vol. 24, Issue 5 https://doi.org/10.1063/1.4983625	journal	May 2017
A platform for studying the Rayleigh–Taylor and Richtmyer–Meshkov instabilities in a planar geometry at high energy density at the National Ignition Facility Nagel, S. R.; Raman, K. S.; Huntington, C. M. Physics of Plasmas, Vol. 24, Issue 7 https://doi.org/10.1063/1.4985312	journal	July 2017
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
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Review of hydro-instability experiments with alternate capsule supports in indirect-drive implosions on the National Ignition Facility Smalyuk, V. A.; Robey, H. F.; Alday, C. L. Physics of Plasmas, Vol. 25, Issue 7 https://doi.org/10.1063/1.5042081	journal	July 2018
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