Skip to main content
    • Aa
    • Aa
  • Get access
    Check if you have access via personal or institutional login
  • Cited by 74
  • Cited by
    This article has been cited by the following publications. This list is generated based on data provided by CrossRef.

    Manu, K.V. Deshmukh, Pranit and Basu, Saptarshi 2016. Rayleigh–Taylor instability in a thermocline based thermal storage tank. International Journal of Thermal Sciences, Vol. 100, p. 333.

    Sengupta, Tapan K. Sengupta, Aditi Sengupta, Soumyo Bhole, Ashish and Shruti, K. S. 2016. Non-equilibrium Thermodynamics of Rayleigh–Taylor Instability. International Journal of Thermophysics, Vol. 37, Issue. 4,

    Zhou, Ye Cabot, William H. and Thornber, Ben 2016. Asymptotic behavior of the mixed mass in Rayleigh–Taylor and Richtmyer–Meshkov instability induced flows. Physics of Plasmas, Vol. 23, Issue. 5, p. 052712.

    Carroll, Phares L. and Blanquart, Guillaume 2015. A new framework for simulating forced homogeneous buoyant turbulent flows. Theoretical and Computational Fluid Dynamics, Vol. 29, Issue. 3, p. 225.

    Koberinski, Adam Baglaenko, Anton and Stastna, Marek 2015. Schmidt number effects on Rayleigh-Taylor instability in a thin channel. Physics of Fluids, Vol. 27, Issue. 8, p. 084102.

    Mikaelian, K. O. 2015. Testing an analytic model for Richtmyer–Meshkov turbulent mixing widths. Shock Waves, Vol. 25, Issue. 1, p. 35.

    Rozanov, V. B. Kuchugov, P. A. Zmitrenko, N. V. and Yanilkin, Yu. V. 2015. Effect of Initial Conditions on the Development of Rayleigh–Taylor Instability. Journal of Russian Laser Research, Vol. 36, Issue. 2, p. 139.

    Schneider, Nicolas Hammouch, Zohra Labrosse, Gérard and Gauthier, Serge 2015. A spectral anelastic Navier–Stokes solver for a stratified two-miscible-layer system in infinite horizontal channel. Journal of Computational Physics, Vol. 299, p. 374.

    Turner, Ross J. and Shabala, Stanislav S. 2015. ENERGETICS AND LIFETIMES OF LOCAL RADIO ACTIVE GALACTIC NUCLEI. The Astrophysical Journal, Vol. 806, Issue. 1, p. 59.

    Yilmaz, Ilyas Edis, Firat Oguz and Saygin, Hasan 2015. Application of an All-Speed Implicit Finite-Volume Algorithm to Rayleigh–Taylor Instability. International Journal of Computational Methods, Vol. 12, Issue. 03, p. 1550018.

    2015. Fluid Mechanics and Heat Transfer.

    2015. Fluid Mechanics and Heat Transfer.

    Matheou, Georgios and Dimotakis, Paul 2014. 7th AIAA Theoretical Fluid Mechanics Conference.

    Olson, Britton J. and Greenough, Jeff 2014. Large eddy simulation requirements for the Richtmyer-Meshkov instability. Physics of Fluids, Vol. 26, Issue. 4, p. 044103.

    Yakovenko, Sergey N. Thomas, T. Glyn and Castro, Ian P. 2014. Transition through Rayleigh–Taylor instabilities in a breaking internal lee wave. Journal of Fluid Mechanics, Vol. 760, p. 466.

    Yilmaz, Ilyas Edis, Firat Oguz and Saygin, Hasan 2014. Application of an all-speed implicit non-dissipative DNS algorithm to hydrodynamic instabilities. Computers & Fluids, Vol. 100, p. 237.

    Yu, Xiao Hsu, Tian-Jian and Balachandar, S. 2014. Convective instability in sedimentation: 3-D numerical study. Journal of Geophysical Research: Oceans, Vol. 119, Issue. 11, p. 8141.

    2014. Applied Research in Hydraulics and Heat Flow.

    Cabot, W. and Zhou, Ye 2013. Statistical measurements of scaling and anisotropy of turbulent flows induced by Rayleigh-Taylor instability. Physics of Fluids, Vol. 25, Issue. 1, p. 015107.

    Denissen, Nicholas A. Rollin, Bertrand Reisner, Jon M. and Andrews, Malcolm 2013. 43rd Fluid Dynamics Conference.

  • Journal of Fluid Mechanics, Volume 511
  • July 2004, pp. 333-362

The mixing transition in Rayleigh–Taylor instability

  • DOI:
  • Published online: 01 July 2004

A large-eddy simulation technique is described for computing Rayleigh–Taylor instability. The method is based on high-wavenumber-preserving subgrid-scale models, combined with high-resolution numerical methods. The technique is verified to match linear stability theory and validated against direct numerical simulation data. The method is used to simulate Rayleigh–Taylor instability at a grid resolution of $1152^3$. The growth rate is found to depend on the mixing rate. A mixing transition is observed in the flow, during which an inertial range begins to form in the velocity spectrum and the rate of growth of the mixing zone is temporarily reduced. By measuring growth of the layer in units of dominant initial wavelength, criteria are established for reaching the hypothetical self-similar state of the mixing layer. A relation is obtained between the rate of growth of the mixing layer and the net mass flux through the plane associated with the initial location of the interface. A mix-dependent Atwood number is defined, which correlates well with the entrainment rate, suggesting that internal mixing reduces the layer's growth rate.

Recommend this journal

Email your librarian or administrator to recommend adding this journal to your organisation's collection.

Journal of Fluid Mechanics
  • ISSN: 0022-1120
  • EISSN: 1469-7645
  • URL: /core/journals/journal-of-fluid-mechanics
Please enter your name
Please enter a valid email address
Who would you like to send this to? *