Self-Similarity and Universality in Rayleigh-Taylor, Boussinesq Turbulence

Natalia Vladimirova; Michael Chertkov

doi:10.1063/1.3054152

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arXiv · 0801.2981

Self-Similarity and Universality in Rayleigh-Taylor, Boussinesq Turbulence

Natalia Vladimirova·Michael Chertkov

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Abstract

We report and discuss case study simulations of the Rayleigh-Taylor instability in the Boussinesq, incompressible regime developed to turbulence. Our main focus is on a statistical analysis of density and velocity fluctuations inside of the already developed and growing in size mixing zone. Novel observations reported in the manuscript concern self-similarity of the velocity and density fluctuations spectra inside of the mixing zone snapshot, independence of the spectra of the horizontal slice level, and universality showing itself in a virtual independence of the internal structure of the mixing zone, measured in the re-scaled spatial units, of the initial interface perturbations.

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Natalia Vladimirova, Michael Chertkov. 2008-08-14. Self-Similarity and Universality in Rayleigh-Taylor, Boussinesq Turbulence. https://doi.org/10.1063/1.3054152

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