2001arXiv (Cornell University)Open access

Three-Dimensional Morphology of Vortex Interfaces Driven by Rayleigh-Taylor or Richtmyer-Meshkov Instability

N. A. Inogamov, Matthieu Tricottet, A. M. Oparin, S. Bouquet

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Abstract

We study the 3D topology of Rayleigh-Taylor (RT) and Richtmyer-Meshkov (RM) single-modes, which includes bubbles, jets and saddle points. We present an analytic description of the interface as a whole, for arbitrary time-dependant acceleration g(t). The dependance of morphology on the lattice - Hexagonal, square or triangular -of bubbles are investigated. RM accelerations in the case of a large density ratio produce jets well separated from each other while, in RT case, jets are connected by liquid sheets. We compare our analytic results to numerical simulations.

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We study the 3D topology of Rayleigh-Taylor (RT) and Richtmyer-Meshkov (RM) single-modes, which includes bubbles, jets and saddle points. We present an analytic description of the interface as a whole, for arbitrary time-dependant acceleration g(t). The dependance of morphology on the lattice - Hexagonal, square or triangular -of bubbles are investigated. RM accelerations in the case of a large density ratio produce jets well separated from each other while, in RT case, jets are connected by liquid sheets. We compare our analytic results to numerical simulations.

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Available abstract

We study the 3D topology of Rayleigh-Taylor (RT) and Richtmyer-Meshkov (RM) single-modes, which includes bubbles, jets and saddle points. We present an analytic description of the interface as a whole, for arbitrary time-dependant acceleration g(t). The dependance of morphology on the lattice - Hexagonal, square or triangular -of bubbles are investigated. RM accelerations in the case of a large density ratio produce jets well separated from each other while, in RT case, jets are connected by liquid sheets. We compare our analytic results to numerical simulations.

Key concepts: Richtmyer–Meshkov instability, Rayleigh–Taylor instability, Instability, Vortex, Rayleigh scattering, Morphology (biology), Mechanics, Geology

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