The late-time nonlinear evolution of the Rayleigh-Taylor (RT) and Richtmyer-Meshkov (RM) instabilities for random initial perturbations is investigated using a statistical mechanics model based on single-mode and bubble-competition physics at all Atwood numbers (A) and full numerical simulations in two and three dimensions. It is shown that the RT mixing zone bubble and spike fronts evolve as h ∼ α · A · gt2 with different values of α for the bubble and spike fronts. The RM mixing zone fronts evolve as h ∼ tθ with different values of θ for bubbles and spikes. Similar analysis yields a linear growth with tune of the Kelvin-Helmholtz mixing zone. The dependence of the RT and RM scaling parameters on A and the dimensionality will be discussed. The 3D predictions are found to be in good agreement with recent Linear Electric Motor (LEM) experiments.
|Title of host publication||Edward Teller Lectures: Lasers and Inertial Fusion Energy|
|Publisher||Imperial College Press|
|Number of pages||8|
|ISBN (Print)||9781860947278, 186094468X, 9781860944680|
|Publication status||Published - Jan 1 2005|
ASJC Scopus subject areas
- Physics and Astronomy(all)