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Fractal Kelvin-Helmholtz break-ups

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Fractal Kelvin-Helmholtz Break-ups

J. Fontane

1

, L. Joly

1

and J. N. Reinaud

2

(1) ENSICA, Dép. de Mécanique des Fluides, Toulouse, France

(2) Mathematical Institute, University of St Andrews, St Andrews, UK

Secondary Break-ups

A secondary KH instability develops on the baroclinically-enhanced vorticity ridge

We carry out numerical simulations of the temporally-evolving infinite-Schmidt number mixing-layer between density-contrasted streams (ρblack/ρwhite = 3). The primary KH-billow is seeded with an eigen-perturbation at t=18. As hinted by Reinaud, Joly and Chassaing (Phys. Fluids 2000), a secondary instability develops on the light side of the main structure.

Ternary Break-ups

A KH-instability of the strained density-gradient layer develops within the secondary billow

If seeded earlier at t=13, the secondary instability develops on a longer wavelength. The larger central secondary billow break-ups in ternary roll-ups due to the same mechanism as the previous generation. The growing demand for spatial resolution requires that the last stages be resolved on a 10 000 X 10 000 grid.

Self-similarity down the scales

Density patterns

Références

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