Inducing intermittency in the inverse cascade of two-dimensional turbulence by a fractal forcing - Sorbonne Université Access content directly
Journal Articles Physical Review Fluids Year : 2023

Inducing intermittency in the inverse cascade of two-dimensional turbulence by a fractal forcing

Abstract

We demonstrate that, as in the forward cascade of three-dimensional turbulence that displays intermittency (a lack of self-similarity) due to the concentration of energy dissipation in a small set of fractal dimension less than three, the inverse cascade of two-dimensional turbulence can also display a lack of self-similarity and intermittency if the energy injection is constrained in a fractal set of dimension less than two. A series of numerical simulations of two-dimensional turbulence are examined, using different forcing functions of the same forcing length scale but different fractal dimension D that varies from the classical D=2 case to the point vortex case D=0. It is shown that as the fractal dimension of the forcing is decreased from D=2, the self-similarity is lost and intermittency appears. The present model thus provides a unique example that intermittency is controlled and can thus shed light and provide test beds for multifractal models of turbulence.
Fichier principal
Vignette du fichier
2DINTM.pdf (1.05 Mo) Télécharger le fichier
Origin : Files produced by the author(s)

Dates and versions

hal-04066664 , version 1 (12-04-2023)

Identifiers

Cite

George Sofiadis, Ioannis Sarris, Alexandros Alexakis. Inducing intermittency in the inverse cascade of two-dimensional turbulence by a fractal forcing. Physical Review Fluids, 2023, 8 (2), pp.024607. ⟨10.1103/PhysRevFluids.8.024607⟩. ⟨hal-04066664⟩
18 View
5 Download

Altmetric

Share

Gmail Facebook X LinkedIn More