The influence of initial conditions on turbulent mixing due to Richtmyer-Meshkov instability

B. Thornber, D. Drikakis, D.L. Youngs, R.J.R. Williams

Research output: Contribution to journalArticle

97 Citations (Scopus)

Abstract

This paper investigates the influence of different three-dimensional multi-mode initial conditions on the rate of growth of a mixing layer initiated via a Richtmyer–Meshkov instability through a series of well-controlled numerical experiments. Results are presented for large-eddy simulation of narrowband and broadband perturbations at grid resolutions up to 3 × 109 points using two completely different numerical methods, and comparisons are made with theory and experiment. It is shown that the mixing-layer growth is strongly dependent on initial conditions, the narrowband case giving a power-law exponent θ ≈ 0.26 at low Atwood and θ ≈ 0.3 at high Atwood numbers. The broadband case uses a perturbation power spectrum of the form P(k) xs221D k−2 with a proposed theoretical growth rate of θ = 2/3. The numerical results confirm this; however, they highlight the necessity of a very fine grid to capture an appropriately broad range of initial scales. In addition, an analysis of the kinetic energy decay rates, fluctuating kinetic energy spectra, plane-averaged volume fraction profiles and mixing parameters is presented for each case.
LanguageEnglish
Pages99-139
Number of pages41
JournalJournal of Fluid Mechanics
Volume654
DOIs
Publication statusPublished - 12 May 2010

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turbulent mixing
Kinetic energy
narrowband
kinetic energy
grids
broadband
perturbation
Large eddy simulation
large eddy simulation
Power spectrum
decay rates
power spectra
Volume fraction
Numerical methods
energy spectra
Experiments
exponents
profiles

Keywords

  • Richtmyer-Meshkov instability
  • turbulent mixing

Cite this

Thornber, B. ; Drikakis, D. ; Youngs, D.L. ; Williams, R.J.R. / The influence of initial conditions on turbulent mixing due to Richtmyer-Meshkov instability. In: Journal of Fluid Mechanics. 2010 ; Vol. 654. pp. 99-139.
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The influence of initial conditions on turbulent mixing due to Richtmyer-Meshkov instability. / Thornber, B.; Drikakis, D.; Youngs, D.L.; Williams, R.J.R.

In: Journal of Fluid Mechanics, Vol. 654, 12.05.2010, p. 99-139.

Research output: Contribution to journalArticle

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