Nonlinear evolution of the Richtmyer-Meshkov instability

Marcus Herrmann, Parviz Moin, Snezhana I. Abarzhi

Research output: Contribution to journalArticle

28 Citations (Scopus)

Abstract

We report analytical and numerical results describing the dynamics of the two-dimensional coherent structure of bubbles and spikes in the Richtmyer-Meshkov instability for fluids with a finite density ratio. The theory accounts for the non-local properties of the interface evolution, and the simulations treat the interface as a discontinuity. Good agreement between the analytical and numerical results is achieved. To quantify accurately the interface dynamics in the simulations, new diagnostics and scalings are suggested. The velocity at which the interface would move if it were ideally planar is used to set the flow time scale as well as the reference point for the bubble (spike) position. The data sampling has high temporal resolution and captures the velocity oscillations caused by sound waves. The bubble velocity and curvature are both monitored, and the bubble curvature is shown to be the relevant diagnostic parameter. According to the results obtained, in the nonlinear regime of the Richtmyer-Meshkov instability the bubbles flatten and decelerate, and the flattening of the bubble front indicates the multiscale character of the coherent dynamics.

Original languageEnglish (US)
Pages (from-to)311-338
Number of pages28
JournalJournal of Fluid Mechanics
Volume612
DOIs
StatePublished - 2008

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bubbles
spikes
curvature
Acoustic waves
Sampling
data sampling
Fluids
flattening
temporal resolution
sound waves
discontinuity
simulation
scaling
oscillations
fluids
high resolution

ASJC Scopus subject areas

  • Mechanical Engineering
  • Mechanics of Materials
  • Condensed Matter Physics

Cite this

Nonlinear evolution of the Richtmyer-Meshkov instability. / Herrmann, Marcus; Moin, Parviz; Abarzhi, Snezhana I.

In: Journal of Fluid Mechanics, Vol. 612, 2008, p. 311-338.

Research output: Contribution to journalArticle

Herrmann, Marcus ; Moin, Parviz ; Abarzhi, Snezhana I. / Nonlinear evolution of the Richtmyer-Meshkov instability. In: Journal of Fluid Mechanics. 2008 ; Vol. 612. pp. 311-338.
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