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Title: Turbulent transport and mixing in the multimode narrowband Richtmyer-Meshkov instability

ORCiD logo [1];  [2];  [3]; ORCiD logo [3]; ORCiD logo [3]; ORCiD logo [4]; ORCiD logo [5]
  1. School of Aerospace, Mechanical and Mechatronic Engineering, The University of Sydney, Sydney, NSW 2006, Australia
  2. CEA, DAM, DIF, F-91297 Arpajon, France
  3. Mechanical Engineering and Engineering Science, University of North Carolina–Charlotte, Charlotte, North Carolina 28223, USA
  4. Lawrence Livermore National Laboratory, Livermore, California 94550, USA
  5. AWE, Aldermaston, Reading, Berkshire RG7 4PR, United Kingdom
Publication Date:
Sponsoring Org.:
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Resource Type:
Publisher's Accepted Manuscript
Journal Name:
Physics of Fluids
Additional Journal Information:
Journal Name: Physics of Fluids Journal Volume: 31 Journal Issue: 9; Journal ID: ISSN 1070-6631
American Institute of Physics
Country of Publication:
United States

Citation Formats

Thornber, B., Griffond, J., Bigdelou, P., Boureima, I., Ramaprabhu, P., Schilling, O., and Williams, R. J. R. Turbulent transport and mixing in the multimode narrowband Richtmyer-Meshkov instability. United States: N. p., 2019. Web. doi:10.1063/1.5111681.
Thornber, B., Griffond, J., Bigdelou, P., Boureima, I., Ramaprabhu, P., Schilling, O., & Williams, R. J. R. Turbulent transport and mixing in the multimode narrowband Richtmyer-Meshkov instability. United States. doi:10.1063/1.5111681.
Thornber, B., Griffond, J., Bigdelou, P., Boureima, I., Ramaprabhu, P., Schilling, O., and Williams, R. J. R. Sun . "Turbulent transport and mixing in the multimode narrowband Richtmyer-Meshkov instability". United States. doi:10.1063/1.5111681.
title = {Turbulent transport and mixing in the multimode narrowband Richtmyer-Meshkov instability},
author = {Thornber, B. and Griffond, J. and Bigdelou, P. and Boureima, I. and Ramaprabhu, P. and Schilling, O. and Williams, R. J. R.},
abstractNote = {},
doi = {10.1063/1.5111681},
journal = {Physics of Fluids},
number = 9,
volume = 31,
place = {United States},
year = {2019},
month = {9}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: 10.1063/1.5111681

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Cited by: 5 works
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Works referenced in this record:

A pseudo-sound constitutive relationship for the dilatational covariances in compressible turbulence
journal, September 1997

FLASH: An Adaptive Mesh Hydrodynamics Code for Modeling Astrophysical Thermonuclear Flashes
journal, November 2000

  • Fryxell, B.; Olson, K.; Ricker, P.
  • The Astrophysical Journal Supplement Series, Vol. 131, Issue 1
  • DOI: 10.1086/317361

The influence of initial conditions on turbulent mixing due to Richtmyer–Meshkov instability
journal, May 2010

Reshocked Richtmyer-Meshkov instability: Numerical study and modeling of random multi-mode experiments
journal, August 2014

  • Malamud, G.; Leinov, E.; Sadot, O.
  • Physics of Fluids, Vol. 26, Issue 8
  • DOI: 10.1063/1.4893678

Energy transfer in Rayleigh-Taylor instability
journal, August 2002

An experimental investigation of the turbulent mixing transition in the Richtmyer–Meshkov instability
journal, May 2014

  • Weber, Christopher R.; Haehn, Nicholas S.; Oakley, Jason G.
  • Journal of Fluid Mechanics, Vol. 748
  • DOI: 10.1017/jfm.2014.188

Analysis of turbulent transport and mixing in transitional Rayleigh–Taylor unstable flow using direct numerical simulation data
journal, October 2010

  • Schilling, Oleg; Mueschke, Nicholas J.
  • Physics of Fluids, Vol. 22, Issue 10
  • DOI: 10.1063/1.3484247

Turbulent mixing induced by Richtmyer-Meshkov instability
conference, January 2017

  • 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
  • DOI: 10.1063/1.4971732

Turbulent shear-layer mixing at high Reynolds numbers: effects of inflow conditions
journal, December 1998

Effects of Diffusion on Interface Instability between Gases
journal, January 1962

  • Duff, R. E.; Harlow, F. H.; Hirt, C. W.
  • Physics of Fluids, Vol. 5, Issue 4
  • DOI: 10.1063/1.1706634

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

An improved reconstruction method for compressible flows with low Mach number features
journal, May 2008

  • Thornber, B.; Mosedale, A.; Drikakis, D.
  • Journal of Computational Physics, Vol. 227, Issue 10
  • DOI: 10.1016/

A new turbulent two-field concept for modeling Rayleigh–Taylor, Richtmyer–Meshkov, and Kelvin–Helmholtz mixing layers
journal, July 2003

Late-Time Mixing Sensitivity to Initial Broadband Surface Roughness in High-Energy-Density Shear Layers
journal, November 2016

High order one-step monotonicity-preserving schemes for unsteady compressible flow calculations
journal, January 2004

Supernova explosions in the Universe
journal, February 2000

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

Three-dimensional simulations of low foot and high foot implosion experiments on the National Ignition Facility
journal, March 2016

  • Clark, D. S.; Weber, C. R.; Milovich, J. L.
  • Physics of Plasmas, Vol. 23, Issue 5
  • DOI: 10.1063/1.4943527

Capsule physics comparison of National Ignition Facility implosion designs using plastic, high density carbon, and beryllium ablators
journal, March 2018

  • Clark, D. S.; Kritcher, A. L.; Yi, S. A.
  • Physics of Plasmas, Vol. 25, Issue 3
  • DOI: 10.1063/1.5016874

The transition to turbulence in shock-driven mixing: effects of Mach number and initial conditions
journal, May 2019

  • Mohaghar, Mohammad; Carter, John; Pathikonda, Gokul
  • Journal of Fluid Mechanics, Vol. 871
  • DOI: 10.1017/jfm.2019.330

Simultaneous direct measurements of concentration and velocity in the Richtmyer–Meshkov instability
journal, June 2018

  • Reese, Daniel T.; Ames, Alex M.; Noble, Chris D.
  • Journal of Fluid Mechanics, Vol. 849
  • DOI: 10.1017/jfm.2018.419

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

Permanence of large eddies in Richtmyer-Meshkov turbulence with a small Atwood number
journal, October 2018

Physics of the single-shocked and reshocked Richtmyer–Meshkov instability
journal, January 2012

Experimental and numerical investigation of the Richtmyer–Meshkov instability under re-shock conditions
journal, May 2009

Late-time growth rate, mixing, and anisotropy in the multimode narrowband Richtmyer–Meshkov instability: The θ -group collaboration
journal, October 2017

  • Thornber, B.; Griffond, J.; Poujade, O.
  • Physics of Fluids, Vol. 29, Issue 10
  • DOI: 10.1063/1.4993464

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

A k ‐ε model for turbulent mixing in shock‐tube flows induced by Rayleigh–Taylor instability
journal, September 1990

  • Gauthier, Serge; Bonnet, Michel
  • Physics of Fluids A: Fluid Dynamics, Vol. 2, Issue 9
  • DOI: 10.1063/1.857576

Sub-grid properties and artificial viscous stresses in staggered-mesh schemes
journal, December 2018

Steady Turbulent Flow Computations Using a Low Mach Fully Compressible Scheme
journal, November 2014

  • Garcia-Uceda Juarez, A.; Raimo, A.; Shapiro, E.
  • AIAA Journal, Vol. 52, Issue 11
  • DOI: 10.2514/1.j052948

Development and validation of a turbulent-mix model for variable-density and compressible flows
journal, October 2010

Numerical simulation of mixing by Rayleigh–Taylor and Richtmyer–Meshkov instabilities
journal, December 1994

A second-order turbulence model for gaseous mixtures induced by Richtmyer—Meshkov instability
journal, January 2005

Multicomponent Reynolds-averaged Navier–Stokes simulations of reshocked Richtmyer–Meshkov instability-induced mixing
journal, March 2013

Energy transfer in the Richtmyer-Meshkov instability
journal, November 2012

Modeling of Reynolds Stress Models for Diffusion Fluxes Inside Shock Waves
journal, July 2014

  • Souffland, D.; Soulard, O.; Griffond, J.
  • Journal of Fluids Engineering, Vol. 136, Issue 9
  • DOI: 10.1115/1.4027381

Observation of Single-Mode, Kelvin-Helmholtz Instability in a Supersonic Flow
journal, October 2015

The pressure–dilatation correlation in compressible flows
journal, December 1992

  • Sarkar, S.
  • Physics of Fluids A: Fluid Dynamics, Vol. 4, Issue 12
  • DOI: 10.1063/1.858454

Three‐dimensional numerical simulation of turbulent mixing by Rayleigh–Taylor instability
journal, May 1991

  • Youngs, David L.
  • Physics of Fluids A: Fluid Dynamics, Vol. 3, Issue 5
  • DOI: 10.1063/1.858059

Applications of shock-induced mixing to supersonic combustion
journal, May 1993

  • Yang, Joseph; Kubota, Toshi; Zukoski, Edward E.
  • AIAA Journal, Vol. 31, Issue 5
  • DOI: 10.2514/3.11696

The Piecewise Parabolic Method (PPM) for gas-dynamical simulations
journal, April 1984

A Two-length Scale Turbulence Model for Single-phase Multi-fluid Mixing
journal, September 2015

  • Schwarzkopf, J. D.; Livescu, D.; Baltzer, J. R.
  • Flow, Turbulence and Combustion, Vol. 96, Issue 1
  • DOI: 10.1007/s10494-015-9643-z

Taylor instability in shock acceleration of compressible fluids
journal, May 1960

  • Richtmyer, Robert D.
  • Communications on Pure and Applied Mathematics, Vol. 13, Issue 2
  • DOI: 10.1002/cpa.3160130207

Measurement of Richtmyer–Meshkov mode coupling under steady shock conditions and at high energy density
journal, December 2015

Rayleigh-Taylor and Richtmyer-Meshkov instabilities in multilayer fluids with surface tension
journal, December 1990