Form Invariance and frame indifference of closure relations in LES

In this paper the relation between the Noll formulation of the Principle of Material Frame-Indifference and the Hutter & Joehnk formulation of the Principle of Turbulent Frame-Indifference in Large Eddy Simulation is revised; the definition of a new rule for the formulation of turbulent closure relations is proposed. In this paper we demonstrate the Euclidean form-invariance and frame-dependence of the transport equation of the generalised SGS viscous dissipation ε . New closure relations for the SGS viscous dissipation transport equation are proposed. The proposed closure relations allow the modeled balance equation of ε to respect the properties of Euclidean form-invariance and frame-dependence of the exact equation.