Self-similar solutions to the asymptotic evolution of Rayleigh-Taylor and Richtmyer-Meshkov instabilities and its dependence on the initial conditions
Hydrodynamic instabilities are ubiquitous in nature and technological
applications. In this presentation, an introduction to the basics of the classical
hydrodynamic instabilities – Rayleigh-Taylor, Richtmyer-Meshkov, and Kelvin-
Helmholtz – will be given. The dynamics of those instabilities, from the linear
stage to the fully non-linear, multimode, turbulent mixing, will be described.
The Rayleigh-Taylor and Richtmyer-Meshkov instabilities dependence on
the initial perturbation spectrum is analyzed using a mean-field modal model.
Using the model, which combines linear growth, mode-coupling, and saturation,
the conditions for which the Rayleigh-Taylor and Richtmyer-Meshkov instabilities
approach a self-similar growth stage are derived. The model findings are compared
to current 3D numerical simulations and state-of-the-art experimental data, guiding
the interpretation and extrapolation of their results.
Host: Kurt Hinterbichler