Ultrametric structure of multiscale energy correlations in turbulent models

Abstract

Ultrametric structure of the energy cascade process in a dynamical model of turbulence is studied. The tree model we use can be viewed as an approximated one-dimensional truncation of the wavelets resolved Navier-Stokes dynamics. Varying the tree connectiveness, the appearance of a scaling transition in the two-points moments of energy dissipation is detected, in agreement with experimental turbulent data.

References in corpus (6)

• Scaling and Dissipation in the GOY Shell Model
• Helical shell models for three dimensional turbulence
• Fusion Rules in Turbulent Systems with Flux Equilibrium
• On the role of inviscid invariants in shell models of turbulence
• (1+1)-dimensional turbulence
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Cited by in corpus (6)

• Cascades and transitions in turbulent flows
• Inverse velocity statistics in two dimensional turbulence
• Multiscale velocity correlation in turbulence: experiments, numerical simulations, synthetic signals
• How close are shell models to the 3D Navier-Stokes equations?
• Translationally invariant cumulants in energy cascade models of turbulence
• Cumulant ratios in fully developed turbulence