# Self-similar Subgrid-scale Models for Inertial Range Turbulence and Accurate Measurements of Intermittency

## TL;DR

This paper introduces self-similar spectral subgrid models for turbulence that extend the inertial range and improve measurements of intermittency, revealing limitations of existing phenomenological models.

## Contribution

It proposes a new class of reversible, self-similar subgrid models that significantly extend the inertial range and enhance intermittency measurement accuracy.

## Key findings

- Extended inertial range by roughly one order of magnitude.
- Intermittency for high order moments not captured by many existing models.
- Improved measurement of anomalous exponents in turbulence.

## Abstract

A class of spectral subgrid models based on a self-similar and reversible closure is studied with the aim to minimize the impact of subgrid scales on the inertial range of fully developed turbulence. In this manner, we improve the scale extension where anomalous exponents are measured by roughly one order of magnitude, when compared to direct numerical simulations or to other popular subgrid closures at the same resolution. We found a first indication that intermittency for high order moments is not captured by many of the popular phenomenological models developed so far.