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Title: Modal interactions between a large-wavelength inclined interface and small-wavelength multimode perturbations in a Richtmyer-Meshkov instability

Abstract

The interaction of a small-wavelength multimodal perturbation with a large-wavelength inclined interface perturbation is investigated for the reshocked Richtmyer-Meshkov instability using three-dimensional simulations. The ares code, developed at Lawrence Livermore National Laboratory, was used for these simulations and a detailed comparison of simulation results and experiments performed at the Georgia Tech Shock Tube facility is presented first for code validation. Simulation results are presented for four cases that vary in large-wavelength perturbation amplitude and the presence of secondary small-wavelength multimode perturbations. Previously developed measures of mixing and turbulence quantities are presented that highlight the large variation in perturbation length scales created by the inclined interface and the multimode complex perturbation. Measures are developed for entrainment, and turbulence anisotropy that help to identify the effects of and competition between each perturbations type. It is shown through multiple measures that before reshock the flow processes a distinct memory of the initial conditions that is present in both large-scale-driven entrainment measures and small-scale-driven mixing measures. After reshock the flow develops to a turbulentlike state that retains a memory of high-amplitude but not low-amplitude large-wavelength perturbations. As a result, it is also shown that the high-amplitude large-wavelength perturbation is capable of producing small-scale mixingmore » and turbulent features similar to the small-wavelength multimode perturbations.« less

Authors:
 [1];  [2];  [1];  [3];  [2]
+ Show Author Affiliations
  1. Univ. of Missouri, Columbia, MO (United States)
  2. Georgia Inst. of Technology, Atlanta, GA (United States)
  3. Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
Publication Date:
Research Org.:
Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)
Sponsoring Org.:
USDOE National Nuclear Security Administration (NNSA)
OSTI Identifier:
1559919
Alternate Identifier(s):
OSTI ID: 1206798
Report Number(s):
LLNL-JRNL-669298
Journal ID: ISSN 1539-3755; PLEEE8; 791164; TRN: US2000426
Grant/Contract Number:  
AC52-07NA27344
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Additional Journal Information:
Journal Volume: 92; Journal Issue: 1; Journal ID: ISSN 1539-3755
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
42 ENGINEERING

Citation Formats

McFarland, Jacob A., Reilly, David, Black, Wolfgang, Greenough, Jeffrey A., and Ranjan, Devesh. Modal interactions between a large-wavelength inclined interface and small-wavelength multimode perturbations in a Richtmyer-Meshkov instability. United States: N. p., 2015. Web. doi:10.1103/PhysRevE.92.013023.
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McFarland, Jacob A., Reilly, David, Black, Wolfgang, Greenough, Jeffrey A., & Ranjan, Devesh. Modal interactions between a large-wavelength inclined interface and small-wavelength multimode perturbations in a Richtmyer-Meshkov instability. United States. https://doi.org/10.1103/PhysRevE.92.013023
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McFarland, Jacob A., Reilly, David, Black, Wolfgang, Greenough, Jeffrey A., and Ranjan, Devesh. Thu . "Modal interactions between a large-wavelength inclined interface and small-wavelength multimode perturbations in a Richtmyer-Meshkov instability". United States. https://doi.org/10.1103/PhysRevE.92.013023. https://www.osti.gov/servlets/purl/1559919.
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@article{osti_1559919,
title = {Modal interactions between a large-wavelength inclined interface and small-wavelength multimode perturbations in a Richtmyer-Meshkov instability},
author = {McFarland, Jacob A. and Reilly, David and Black, Wolfgang and Greenough, Jeffrey A. and Ranjan, Devesh},
abstractNote = {The interaction of a small-wavelength multimodal perturbation with a large-wavelength inclined interface perturbation is investigated for the reshocked Richtmyer-Meshkov instability using three-dimensional simulations. The ares code, developed at Lawrence Livermore National Laboratory, was used for these simulations and a detailed comparison of simulation results and experiments performed at the Georgia Tech Shock Tube facility is presented first for code validation. Simulation results are presented for four cases that vary in large-wavelength perturbation amplitude and the presence of secondary small-wavelength multimode perturbations. Previously developed measures of mixing and turbulence quantities are presented that highlight the large variation in perturbation length scales created by the inclined interface and the multimode complex perturbation. Measures are developed for entrainment, and turbulence anisotropy that help to identify the effects of and competition between each perturbations type. It is shown through multiple measures that before reshock the flow processes a distinct memory of the initial conditions that is present in both large-scale-driven entrainment measures and small-scale-driven mixing measures. After reshock the flow develops to a turbulentlike state that retains a memory of high-amplitude but not low-amplitude large-wavelength perturbations. As a result, it is also shown that the high-amplitude large-wavelength perturbation is capable of producing small-scale mixing and turbulent features similar to the small-wavelength multimode perturbations.},
doi = {10.1103/PhysRevE.92.013023},
journal = {Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics},
number = 1,
volume = 92,
place = {United States},
year = {Thu Jul 30 00:00:00 EDT 2015},
month = {Thu Jul 30 00:00:00 EDT 2015}
}
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https://doi.org/10.1103/PhysRevE.92.013023
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Works referenced in this record:

A tensor artificial viscosity using a finite element approach
journal, December 2009

Turbulent mixing measurements in the Richtmyer-Meshkov instability
journal, July 2012

  • Weber, Christopher; Haehn, Nicholas; Oakley, Jason
  • Physics of Fluids, Vol. 24, Issue 7
  • DOI: 10.1063/1.4733447

Adaptive mesh refinement for hyperbolic partial differential equations
journal, March 1984

Local adaptive mesh refinement for shock hydrodynamics
journal, May 1989

Transition to turbulence in shock-driven mixing: a Mach number study
journal, November 2011

  • Lombardini, M.; Pullin, D. I.; Meiron, D. I.
  • Journal of Fluid Mechanics, Vol. 690
  • DOI: 10.1017/jfm.2011.425

An Evaluation of the Richtmyer‐Meshkov Instability in Supernova Remnant Formation
journal, January 1999

  • Kane, J.; Drake, R. P.; Remington, B. A.
  • The Astrophysical Journal, Vol. 511, Issue 1
  • DOI: 10.1086/306685

Simulations and Analysis of the Reshocked Inclined Interface Richtmyer–Meshkov Instability for Linear and Nonlinear Interface Perturbations
journal, May 2014

  • McFarland, Jacob A.; Greenough, Jeffrey A.; Ranjan, Devesh
  • Journal of Fluids Engineering, Vol. 136, Issue 7
  • DOI: 10.1115/1.4026858

Experimental validation of a Richtmyer–Meshkov scaling law over large density ratio and shock strength ranges
journal, December 2009

  • Motl, Bradley; Oakley, Jason; Ranjan, Devesh
  • Physics of Fluids, Vol. 21, Issue 12
  • DOI: 10.1063/1.3280364

An aggregation index (AI) to quantify spatial patterns of landscapes
journal, October 2000

  • He, Hong S.; DeZonia, Barry E.; Mladenoff, David J.
  • Landscape Ecology, Vol. 15, Issue 7, p. 591-601
  • DOI: 10.1023/A:1008102521322

Evolution of the density self-correlation in developing Richtmyer–Meshkov turbulence
journal, October 2013

  • Tomkins, C. D.; Balakumar, B. J.; Orlicz, G.
  • Journal of Fluid Mechanics, Vol. 735
  • DOI: 10.1017/jfm.2013.430

Application of a second-moment closure model to mixing processes involving multicomponent miscible fluids
journal, January 2011

An experimental testbed for the study of hydrodynamic issues in supernovae
journal, May 2001

  • Robey, H. F.; Kane, J. O.; Remington, B. A.
  • Physics of Plasmas, Vol. 8, Issue 5
  • DOI: 10.1063/1.1352594

Transition to turbulence and effect of initial conditions on three-dimensional compressible mixing in planar blast-wave-driven systems
journal, May 2005

  • Miles, A. R.; Blue, B.; Edwards, M. J.
  • Physics of Plasmas, Vol. 12, Issue 5
  • DOI: 10.1063/1.1894765

Experiments on the three-dimensional incompressible Richtmyer-Meshkov instability
journal, July 2006

  • Chapman, P. R.; Jacobs, J. W.
  • Physics of Fluids, Vol. 18, Issue 7
  • DOI: 10.1063/1.2214647

Experimental investigation of the inclined interface Richtmyer–Meshkov instability before and after reshock
journal, December 2013

Enthalpy diffusion in multicomponent flows
journal, May 2009

Vortex-accelerated secondary baroclinic vorticity deposition and late-intermediate time dynamics of a two-dimensional Richtmyer–Meshkov interface
journal, December 2003

  • Peng, Gaozhu; Zabusky, Norman J.; Zhang, Shuang
  • Physics of Fluids, Vol. 15, Issue 12
  • DOI: 10.1063/1.1621628

Diffusion Coefficients in Gaseous Systems
journal, June 1934

  • Gilliland, E. R.
  • Industrial & Engineering Chemistry, Vol. 26, Issue 6
  • DOI: 10.1021/ie50294a020

Experimental Investigation of Primary and Secondary Features in High-Mach-Number Shock-Bubble Interaction
journal, January 2007

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

The instability of liquid surfaces when accelerated in a direction perpendicular to their planes. I
journal, March 1950

  • Taylor, Geoffrey Ingram
  • Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, Vol. 201, Issue 1065, p. 192-196
  • DOI: 10.1098/rspa.1950.0052

Computational parametric study of a Richtmyer-Meshkov instability for an inclined interface
journal, August 2011

Measurement of spectral characteristics of the turbulent mixing zone
journal, May 2010

  • Kucherenko, Yu. A.; Pavlenko, A. V.; Shestachenko, O. E.
  • Journal of Applied Mechanics and Technical Physics, Vol. 51, Issue 3
  • DOI: 10.1007/s10808-010-0041-y

Large eddy simulation requirements for the Richtmyer-Meshkov instability
journal, April 2014

  • Olson, Britton J.; Greenough, Jeff
  • Physics of Fluids, Vol. 26, Issue 4
  • DOI: 10.1063/1.4871396

Laser Doppler Velocimetry Measurements in Turbulent Gaseous Mixing Induced by the Richtmyer–Meshkov Instability: Statistical Convergence Issues and Turbulence Quantification
journal, July 2014

  • Bouzgarrou, Ghazi; Bury, Yannick; Jamme, Stéphane
  • Journal of Fluids Engineering, Vol. 136, Issue 9
  • DOI: 10.1115/1.4027311

Study of the membrane effect on turbulent mixing measurements in shock tubes
journal, September 2000

Simulations of Richtmyer–Meshkov instabilities in planar shock-tube experiments
journal, March 2011

  • Grinstein, F. F.; Gowardhan, A. A.; Wachtor, A. J.
  • Physics of Fluids, Vol. 23, Issue 3
  • DOI: 10.1063/1.3555635

On the late-time growth of the two-dimensional Richtmyer–Meshkov instability in shock tube experiments
journal, October 2012

  • Morgan, Robert V.; Aure, R.; Stockero, J. D.
  • Journal of Fluid Mechanics, Vol. 712
  • DOI: 10.1017/jfm.2012.426
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