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Title: Time-dependent study of anisotropy in Rayleigh-Taylor instability induced turbulent flows with a variety of density ratios

Abstract

This study focuses on understanding the time-dependent anisotropy, mixing, scaling of flows induced by Rayleigh-Taylor instability, and complementing the late-time snapshots reported by Cabot and Zhou [“Statistical measurements of scaling and anisotropy of turbulent flows induced by Rayleigh-Taylor instability,” Phys. Fluids 25, 015107 (2013)]. In particular, we utilize three large datasets with different Atwood numbers (density ratios) from well resolved direct numerical simulations at a moderate Reynolds number with the goal of determining the degree of departure of this inhomogeneous flow from that of homogeneous, isotropic turbulence. Three key time-dependent statistical measurements are considered in detail to delineate the role played by the acceleration. First, a number of directional length scales in this anisotropic turbulence are inspected. Second, the relationship among the outer-scale, the turbulence length, and the Taylor-microscale based Reynolds numbers is also clarified. Lastly, the normalized dissipation rate is employed to inspect the distinctive features of the flow in the inhomogeneous direction parallel to gravity and in the homogeneous perpendicular directions.

Authors:
 [1];  [1]
  1. Lawrence Livermore National Lab. (LLNL), Livermore, CA (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:
1569169
Report Number(s):
LLNL-JRNL-774944
Journal ID: ISSN 1070-6631; 966422
Grant/Contract Number:  
AC52-07NA27344
Resource Type:
Accepted Manuscript
Journal Name:
Physics of Fluids
Additional Journal Information:
Journal Volume: 31; Journal Issue: 8; Journal ID: ISSN 1070-6631
Publisher:
American Institute of Physics (AIP)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS

Citation Formats

Zhou, Ye, and Cabot, William H. Time-dependent study of anisotropy in Rayleigh-Taylor instability induced turbulent flows with a variety of density ratios. United States: N. p., 2019. Web. doi:10.1063/1.5110914.
Zhou, Ye, & Cabot, William H. Time-dependent study of anisotropy in Rayleigh-Taylor instability induced turbulent flows with a variety of density ratios. United States. doi:10.1063/1.5110914.
Zhou, Ye, and Cabot, William H. Tue . "Time-dependent study of anisotropy in Rayleigh-Taylor instability induced turbulent flows with a variety of density ratios". United States. doi:10.1063/1.5110914.
@article{osti_1569169,
title = {Time-dependent study of anisotropy in Rayleigh-Taylor instability induced turbulent flows with a variety of density ratios},
author = {Zhou, Ye and Cabot, William H.},
abstractNote = {This study focuses on understanding the time-dependent anisotropy, mixing, scaling of flows induced by Rayleigh-Taylor instability, and complementing the late-time snapshots reported by Cabot and Zhou [“Statistical measurements of scaling and anisotropy of turbulent flows induced by Rayleigh-Taylor instability,” Phys. Fluids 25, 015107 (2013)]. In particular, we utilize three large datasets with different Atwood numbers (density ratios) from well resolved direct numerical simulations at a moderate Reynolds number with the goal of determining the degree of departure of this inhomogeneous flow from that of homogeneous, isotropic turbulence. Three key time-dependent statistical measurements are considered in detail to delineate the role played by the acceleration. First, a number of directional length scales in this anisotropic turbulence are inspected. Second, the relationship among the outer-scale, the turbulence length, and the Taylor-microscale based Reynolds numbers is also clarified. Lastly, the normalized dissipation rate is employed to inspect the distinctive features of the flow in the inhomogeneous direction parallel to gravity and in the homogeneous perpendicular directions.},
doi = {10.1063/1.5110914},
journal = {Physics of Fluids},
number = 8,
volume = 31,
place = {United States},
year = {2019},
month = {8}
}

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Works referenced in this record:

Investigation of the Character of the Equilibrium of an Incompressible Heavy Fluid of Variable Density
journal, November 1882


Anisotropy in turbulent flows and in turbulent transport
journal, July 2005


Asymptotic behavior of the mixed mass in Rayleigh–Taylor and Richtmyer–Meshkov instability induced flows
journal, May 2016

  • Zhou, Ye; Cabot, William H.; Thornber, Ben
  • Physics of Plasmas, Vol. 23, Issue 5
  • DOI: 10.1063/1.4951018

The role of hot spot mix in the low-foot and high-foot implosions on the NIF
journal, May 2017

  • Ma, T.; Patel, P. K.; Izumi, N.
  • Physics of Plasmas, Vol. 24, Issue 5
  • DOI: 10.1063/1.4983625

Reynolds number effects on Rayleigh–Taylor instability with possible implications for type Ia supernovae
journal, July 2006

  • Cabot, William H.; Cook, Andrew W.
  • Nature Physics, Vol. 2, Issue 8
  • DOI: 10.1038/nphys361

Statistical measurements of scaling and anisotropy of turbulent flows induced by Rayleigh-Taylor instability
journal, January 2013


Numerical simulations of two-fluid turbulent mixing at large density ratios and applications to the Rayleigh–Taylor instability
journal, November 2013

  • Livescu, D.
  • Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 371, Issue 2003
  • DOI: 10.1098/rsta.2012.0185

Comparison of two- and three-dimensional simulations of miscible Rayleigh-Taylor instability
journal, April 2006


Modelling turbulent mixing by Rayleigh-Taylor instability
journal, July 1989


The density ratio dependence of self-similar Rayleigh–Taylor mixing
journal, November 2013

  • Youngs, David L.
  • Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 371, Issue 2003
  • DOI: 10.1098/rsta.2012.0173

Density ratio dependence of Rayleigh–Taylor mixing for sustained and impulsive acceleration histories
journal, February 2000

  • Dimonte, Guy; Schneider, Marilyn
  • Physics of Fluids, Vol. 12, Issue 2
  • DOI: 10.1063/1.870309

Density Ratio and Entrainment Effects on Asymptotic Rayleigh–Taylor Instability
journal, December 2017

  • Shimony, Assaf; Malamud, Guy; Shvarts, Dov
  • Journal of Fluids Engineering, Vol. 140, Issue 5
  • DOI: 10.1115/1.4038400

Turbulent mixing and transition criteria of flows induced by hydrodynamic instabilities
journal, August 2019

  • Zhou, Ye; Clark, Timothy T.; Clark, Daniel S.
  • Physics of Plasmas, Vol. 26, Issue 8
  • DOI: 10.1063/1.5088745

A simple experiment to investigate two‐dimensional mixing by Rayleigh–Taylor instability
journal, June 1990

  • Andrews, M. J.; Spalding, D. B.
  • Physics of Fluids A: Fluid Dynamics, Vol. 2, Issue 6
  • DOI: 10.1063/1.857652

Dynamics of buoyancy-driven flows at moderately high Atwood numbers
journal, April 2016


A Critical Analysis of Rayleigh–Taylor Growth Rates
journal, May 2001

  • Glimm, J.; Grove, J. W.; Li, X. L.
  • Journal of Computational Physics, Vol. 169, Issue 2
  • DOI: 10.1006/jcph.2000.6590

Experimental study of Rayleigh–Taylor instability with a complex initial perturbation
journal, March 2009

  • Olson, D. H.; Jacobs, J. W.
  • Physics of Fluids, Vol. 21, Issue 3
  • DOI: 10.1063/1.3085811

Modal model for the nonlinear multimode Rayleigh–Taylor instability
journal, August 1996

  • Ofer, D.; Alon, U.; Shvarts, D.
  • Physics of Plasmas, Vol. 3, Issue 8
  • DOI: 10.1063/1.871655

High-Reynolds number Rayleigh–Taylor turbulence
journal, January 2009


Progress in understanding turbulent mixing induced by Rayleigh–Taylor and Richtmyer–Meshkov instabilities
journal, May 2003

  • Zhou, Ye; Remington, B. A.; Robey, H. F.
  • Physics of Plasmas, Vol. 10, Issue 5
  • DOI: 10.1063/1.1560923

The time scale for the transition to turbulence in a high Reynolds number, accelerated flow
journal, March 2003

  • Robey, H. F.; Zhou, Ye; Buckingham, A. C.
  • Physics of Plasmas, Vol. 10, Issue 3
  • DOI: 10.1063/1.1534584

On nonlinear K-l and K -ε models of turbulence
journal, May 1987


Analytical Methods for the Development of Reynolds-Stress Closures in Turbulence
journal, January 1991


K-L turbulence model for the self-similar growth of the Rayleigh-Taylor and Richtmyer-Meshkov instabilities
journal, August 2006

  • Dimonte, Guy; Tipton, Robert
  • Physics of Fluids, Vol. 18, Issue 8
  • DOI: 10.1063/1.2219768

On the normalized dissipation parameter in decaying turbulence
journal, March 2017

  • Djenidi, L.; Lefeuvre, N.; Kamruzzaman, M.
  • Journal of Fluid Mechanics, Vol. 817
  • DOI: 10.1017/jfm.2017.110

Statistical Theory of Turbulence
journal, September 1935

  • Taylor, G. I.
  • Proceedings of the Royal Society of London. Series A - Mathematical and Physical Sciences, Vol. 151, Issue 873
  • DOI: 10.1098/rspa.1935.0158

Dissipation in Turbulent Flows
journal, January 2015


On the scaling of the turbulence energy dissipation rate
journal, January 1984


An update on the energy dissipation rate in isotropic turbulence
journal, February 1998

  • Sreenivasan, Katepalli R.
  • Physics of Fluids, Vol. 10, Issue 2
  • DOI: 10.1063/1.869575

Onset criteria for freely decaying isotropic turbulence
journal, October 2018


Spectral imbalance and the normalized dissipation rate of turbulence
journal, April 2007

  • Bos, W. J. T.; Shao, L.; Bertoglio, J. -P.
  • Physics of Fluids, Vol. 19, Issue 4
  • DOI: 10.1063/1.2714079

Measurements of the turbulent energy dissipation rate
journal, March 2002

  • Pearson, B. R.; Krogstad, P. -Å.; van de Water, W.
  • Physics of Fluids, Vol. 14, Issue 3
  • DOI: 10.1063/1.1445422

Renormalization group theory for fluid and plasma turbulence
journal, March 2010