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Updated: Apr 12, 2026

Magnetically Induced Rotating Rayleigh-Taylor Instability
Published on: March 3, 2017
Three-equation model for the self-similar growth of Rayleigh-Taylor and Richtmyer-Meskov instabilities
Brandon E Morgan1, Michael E Wickett1
1Lawrence Livermore National Laboratory, Livermore, California 94550, USA.
Abstract:
In the present work, the two-equation k-L model [G. Dimonte and R. Tipton, Phys. Fluids 18, 085101 (2006)] is extended by the addition of a third equation for the mass-flux velocity. A set of model constants is derived to satisfy an ansatz of self-similarity in the low Atwood number limit. The model is then applied to the simulation of canonical Rayleigh-Taylor and Richtmyer-Meshkov test problems in one dimension and is demonstrated to reproduce analytical self-similar growth and to recover growth rates used to constrain the model.
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