1998/12/01 by A. Rikanati, Uri Alon, U. Alon +1 · 1 citation
Engineering · Physics and Astronomy · #Fluid Dynamics and Turbulent Flows #Laser-Matter Interactions and Applications #Laser-Plasma Interactions and Diagnostics
paper · doi:10.1103/physreve.58.7410
openalex publication_date 1998/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30
The nonlinear growth of the multimode Richtmyer-Meshkov instability in the limit of two fluids of similar densities (Atwood number \stackrel\ensuremath→A0) is treated by the motion of point potential vortices. The dynamics of a periodic bubble array and the competition between bubbles of different sizes is analyzed. A statistical mechanics model for the multimode front mixing evolution, similar to the single-bubble growth and two-bubble interaction based model used by Alon et al. [Phys. Rev. Lett. 72, 2867 (1994)] for A=1, is presented. Using the statistical bubble merger model, a power law of t0.4 for the mixing zone growth is obtained, similar to that of the bubble front growth for the A=1 case and in good agreement with experiments and full numerical simulations.