Details of Research Outputs

A material interface between two compressible fluids of different density is unstable under the acceleration of a shock wave. This instability plays an important role in inertial confinement fusion and supernova. The linear theory and the impulsive model provide quali­tatively’ incorrect predictions for the growth of the fingers at the unstable material interface at intermediate and late times. We present a nonlinear theory of the growth rales of the spikes and bubble at Richtmyer-Meshkov unstable interfaces of arbitrary density ratio. It has been shown previously that our theoretical predictions are in remarkable agreement with the results from full numerical simulations and experiments for systems with no phase inversion. Hero we show that the predictions of the theory are also in good agreement with the results from full numerical simulations for systems with phase inversion. Our theory is based on the methods of Pade approximation and asymptotic matching. I he validity of these methods is also discussed.