A fast algorithm for a three-dimensional synthetic model of intermittent turbulence

TL;DR

This paper introduces a fast, wavelet-based synthetic turbulence model capable of efficiently generating 3D turbulent fields with customizable spectral, intermittent, and anisotropic properties, suitable for various simulations.

Contribution

A novel, computationally efficient wavelet-based algorithm for 3D synthetic turbulence modeling that captures intermittency and anisotropy with broad spectral range.

Findings

Model accurately reproduces spectral laws.

Field increments exhibit correct scale-dependent statistics.

Multifractal analysis confirms realistic intermittency.

Abstract

Synthetic turbulence models are a useful tool that provide realistic representations of turbulence, necessary to test theoretical results, to serve as background fields in some numerical simulations, and to test analysis tools. Models of 1D and 3D synthetic turbulence previously developed still required large computational resources. A new wavelet-based model of synthetic turbulence, able to produce a field with tunable spectral law, intermittency and anisotropy, is presented here. The rapid algorithm introduced, based on the classic $p$-model of intermittent turbulence, allows to reach a broad spectral range using a modest computational effort. The model has been tested against the standard diagnostics for intermittent turbulence, i.e. the spectral analysis, the scale-dependent statistics of the field increments, and the multifractal analysis, all showing an excellent response.