The scaling laws that describe the late time non-linear evolution of the Rayleigh-Taylor (RT) and Richtmyer-Meshkov (RM) instabilities for 3D random initial perturbation are investigated numerically and theoretically and compared with previously derived 2D scaling laws. It is shown that in both dimensions the RT mixing zone bubble and spike front evolve as h ~ α \cdot A \cdot g \cdot t^2 with different α's for the bubble and spike fronts and the RM mixing zone fronts have been found to evolve as h ~ t^θ with different θ's for bubbles and spikes. The dependence of the RT and RM scaling parameters (α and θ) on the dimensionality will be presented and compared with numerical simulation in 2D and 3D as well as experimental results.
|Title of host publication||American Physical Society, Division of Fluid Dynamics Meeting|
|State||Published - 1 Nov 1999|
|Name||American Physical Society, Division of Fluid Dynamics Meeting, November 21-23, 1999 New Orleans, LA|