Role of correlation integrals in helical isotropic turbulence

TL;DR

This paper investigates how correlation integrals influence helical isotropic turbulence, highlighting their dominant role in different turbulence ranges through simulations and experiments, and discusses spontaneous symmetry breaking.

Contribution

It demonstrates the significant influence of correlation integrals in helical turbulence and explores conditions for symmetry breaking, combining numerical and experimental insights.

Findings

Correlation integrals are dominant in inertial and near-dissipation ranges.

Numerical and experimental results support the importance of correlation invariants.

Spontaneous reflection symmetry breaking is briefly discussed.

Abstract

It is shown that the correlation integrals (invariants) play an important, and at certain conditions a dominant, role in helical isotropic homogeneous turbulence both in the inertial and near-dissipation ranges. Results of direct numerical simulations and recent laboratory experiments with multiscale grids have been used for this purpose. A possibility of spontaneous breaking of reflection symmetry has been also briefly discussed in this context.