Vortex sheet dynamics and turbulence

Malek Abid; Alberto Verga

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Vortex sheet dynamics and turbulence

Malek Abid·Alberto Verga

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Abstract

The nonlinear evolution of a vortex sheet driven by the Kelvin--Helmholtz instability is characterized by the formation of a spiral possessing complex stretching and intensity patterns. We show that the power energy spectrum of a single two-dimensional vortex sheet tends to the usual fluid turbulent spectrum, with an exponent of -3. Using numerical simulations and asymptotic methods, we demonstrate the relation between this power law and the singularities in the geometry and vorticity distribution of the sheet.

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Malek Abid, Alberto Verga. 2006-07-12. Vortex sheet dynamics and turbulence. https://arxiv.org/abs/physics/0607108

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