Physically-consistent subgrid-scale models for large-eddy simulation of incompressible turbulent flows

TL;DR

This paper develops physically-consistent subgrid-scale models for large-eddy simulation of incompressible turbulence, ensuring they preserve symmetries, exhibit correct near-wall behavior, and capture nondissipative effects, addressing limitations of existing models.

Contribution

It introduces a new class of subgrid-scale models that adhere to key physical and mathematical properties, improving upon existing models.

Findings

Models preserve Navier-Stokes symmetries

Models exhibit proper near-wall scaling

Models can describe nondissipative effects

Abstract

Assuming a general constitutive relation for the turbulent stresses in terms of the local large-scale velocity gradient, we constructed a class of subgrid-scale models for large-eddy simulation that are consistent with important physical and mathematical properties. In particular, they preserve symmetries of the Navier-Stokes equations and exhibit the proper near-wall scaling. They furthermore show desirable dissipation behavior and are capable of describing nondissipative effects. We provided examples of such physically-consistent models and showed that existing subgrid-scale models do not all satisfy the desired properties.