Mimicking a turbulent signal: sequential multiaffine processes

TL;DR

This paper introduces a sequential method for constructing multiaffine processes with specific scaling properties, facilitating the generation of realistic turbulent signals for numerical simulations.

Contribution

It presents a novel sequential approach to synthesize multiaffine processes with prescribed exponents, advancing the simulation of turbulent-like signals.

Findings

Method efficiently generates turbulent signals with desired scaling.

Sequential approach is suitable for numerical turbulence simulations.

Realistic spatio-temporal turbulent fields can be realized using this method.

Abstract

An efficient method for the construction of a multiaffine process, with prescribed scaling exponents, is presented. At variance with the previous proposals, this method is sequential and therefore it is the natural candidate in numerical computations involving synthetic turbulence. The application to the realization of a realistic turbulent-like signal is discussed in detail. The method represents a first step towards the realization of a realistic spatio-temporal turbulent field.