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

Abstract

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 confrontedmore » 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.« less

Authors:
 [1];  [2]; ORCiD logo [1];  [1]; ORCiD logo [1]; ORCiD logo [1]; ORCiD logo [1]; ORCiD logo [1]; ORCiD logo [1]
  1. Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
  2. Univ. of New Mexico, Albuquerque, NM (United States)
Publication Date:
Research Org.:
Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
Sponsoring Org.:
USDOE National Nuclear Security Administration (NNSA)
OSTI Identifier:
1569177
Report Number(s):
LLNL-JRNL-765064
Journal ID: ISSN 1070-664X; 954699; TRN: US2100256
Grant/Contract Number:  
AC52-07NA27344
Resource Type:
Accepted Manuscript
Journal Name:
Physics of Plasmas
Additional Journal Information:
Journal Volume: 26; Journal Issue: 8; Journal ID: ISSN 1070-664X
Publisher:
American Institute of Physics (AIP)
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY

Citation Formats

Zhou, Ye, Clark, Timothy T., Clark, Daniel S., Glendinning, S. Gail, Skinner, M. Aaron, Huntington, Channing M., Hurricane, Omar A., Dimits, Andris M., and Remington, Bruce A. Turbulent mixing and transition criteria of flows induced by hydrodynamic instabilities. United States: N. p., 2019. Web. doi:10.1063/1.5088745.
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. Turbulent mixing and transition criteria of flows induced by hydrodynamic instabilities. United States. doi:10.1063/1.5088745.
Zhou, Ye, Clark, Timothy T., Clark, Daniel S., Glendinning, S. Gail, Skinner, M. Aaron, Huntington, Channing M., Hurricane, Omar A., Dimits, Andris M., and Remington, Bruce A. Sat . "Turbulent mixing and transition criteria of flows induced by hydrodynamic instabilities". United States. doi:10.1063/1.5088745. https://www.osti.gov/servlets/purl/1569177.
@article{osti_1569177,
title = {Turbulent mixing and transition criteria of flows induced by hydrodynamic instabilities},
author = {Zhou, Ye and Clark, Timothy T. and Clark, Daniel S. and Glendinning, S. Gail and Skinner, M. Aaron and Huntington, Channing M. and Hurricane, Omar A. and Dimits, Andris M. and Remington, Bruce A.},
abstractNote = {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.},
doi = {10.1063/1.5088745},
journal = {Physics of Plasmas},
number = 8,
volume = 26,
place = {United States},
year = {2019},
month = {8}
}

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    Works referencing / citing this record:

    Self-similar solutions of asymmetric Rayleigh-Taylor mixing
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    Time-dependent study of anisotropy in Rayleigh-Taylor instability induced turbulent flows with a variety of density ratios
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    • Zhou, Ye; Cabot, William H.
    • Physics of Fluids, Vol. 31, Issue 8
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