A natural decomposition of viscous dissipation in DG methods for turbulent incompressible flows

TL;DR

This paper characterizes the discretization of viscous dissipation in DG methods for turbulent incompressible flows, distinguishing between physical and numerical dissipation to improve understanding of flow simulations.

Contribution

It introduces a natural decomposition of viscous dissipation in DG methods, enabling clearer separation of physical and numerical dissipation effects.

Findings

Provides a framework to distinguish physical from numerical dissipation

Enhances understanding of viscous dissipation in DG discretizations

Aids in improving turbulence modeling accuracy

Abstract

In this note we aim at a characterisation of the discretisation of viscous dissipation which allows to distinguish `physical' (also frequently called `molecular', or `resolved') from `numerical' dissipation in DG-discretised incompressible flow simulations.