### Abstract

The late-time nonlinear evolution of the three-dimensional (3D) Rayleigh-Taylor (RT) and Richtmyer-Meshkov (RM) instabilities for random initial perturbations is investigated. Using full 3D numerical simulations, a statistical mechanics bubble-competition model, and a Layzer-type drag-buoyancy model, it is shown that the RT scaling parameters, α_{B} and α_{S}, are similar in two and three dimensions, but the RM exponents, θ_{B} and θ_{S} are lower by a factor of 2 in three dimensions. The similarity parameter h_{B}/〈λ〉 is higher by a factor of 3 in the 3D case compared to the 2D case, in very good agreement with recent Linear Electric Motor (LEM) experiments. A simple drag-buoyancy model, similar to that proposed by Youngs [see J. C. V. Hanson et al., Laser Part. Beams 8, 51 (1990)], but using the coefficients from the A = 1 Layzer model, rather than phenomenological ones, is introduced.

Original language | English |
---|---|

Pages (from-to) | 2883-2889 |

Number of pages | 7 |

Journal | Physics of Plasmas |

Volume | 8 |

Issue number | 6 |

DOIs | |

Publication status | Published - Jun 2001 |

### ASJC Scopus subject areas

- Physics and Astronomy(all)
- Condensed Matter Physics

## Fingerprint Dive into the research topics of 'Dimensionality dependence of the Rayleigh-Taylor and Richtmyer-Meshkov instability late-time scaling laws'. Together they form a unique fingerprint.

## Cite this

*Physics of Plasmas*,

*8*(6), 2883-2889. https://doi.org/10.1063/1.1362529