Abstract
The nonlinear growth of the multimode Richtmyer-Meshkov instability in the limit of two fluids of similar densities (Atwood number [Formula Presented] 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 [Formula Presented] is presented. Using the statistical bubble merger model, a power law of [Formula Presented] for the mixing zone growth is obtained, similar to that of the bubble front growth for the [Formula Presented] case and in good agreement with experiments and full numerical simulations.
| Original language | English |
|---|---|
| Pages (from-to) | 7410-7418 |
| Number of pages | 9 |
| Journal | Physical Review E |
| Volume | 58 |
| Issue number | 6 |
| DOIs | |
| State | Published - 1998 |
| Externally published | Yes |
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Statistics and Probability
- Condensed Matter Physics