Lack of self-similarity in transverse velocity increments and circulation statistics in two-dimensional turbulence

Nicolás Pablo Müller; Giorgio Krstulovic

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arXiv · 2408.00631

Lack of self-similarity in transverse velocity increments and circulation statistics in two-dimensional turbulence

Nicolás Pablo Müller·Giorgio Krstulovic

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Abstract

We study the statistics of longitudinal and transverse structure functions, as well as velocity circulation in the inverse energy cascade of two-dimensional turbulence. By means of direct numerical simulations of the incompressible Navier-Stokes equations, we show that transverse structure functions exhibit an anomalous scaling, in contrast to the self-similar behavior of longitudinal ones. We derive an analytical relation that shows that the scaling exponents of transverse structure functions and velocity circulation are related in two-dimensional turbulence.

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Nicolás Pablo Müller, Giorgio Krstulovic. 2024-08-01. Lack of self-similarity in transverse velocity increments and circulation statistics in two-dimensional turbulence. https://arxiv.org/abs/2408.00631

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