Noise based on vortex structures in 2D and 3D

TL;DR

This paper introduces a novel vortex-structure-based noise model in 2D and 3D, linking it to fractional Gaussian fields and Kraichnan noise, and demonstrating its application in studying turbulence dissipation.

Contribution

It presents a new vortex-structure-based noise model applicable in bounded domains, connecting it to existing stochastic fields and turbulence analysis.

Findings

Defines vortex-based noise as a scaling limit of a jump process.

Links vortex noise to Fractional Gaussian Fields and Kraichnan noise.

Shows vortex noise's suitability for turbulence eddy dissipation studies.

Abstract

A new noise, based on vortex structures in 2D (point vortices) and 3D (vortex filaments), is introduced. It is defined as the scaling limit of a jump process which explores vortex structures and it can be defined in any domain, also with boundary. The link with Fractional Gaussian Fields and Kraichnan noise is discussed. The vortex noise is finally shown to be suitable for the investigation of the eddy dissipation produced by small scale turbulence.