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Turbulence Heat and Mass Transfer 6. Proceedings of the Sixth International Symposium On Turbulence Heat and Mass Transfer
September, 14-18, 2009, Rome, Italy

DOI: 10.1615/ICHMT.2009.TurbulHeatMassTransf


ISBN Print: 978-1-56700-262-1

ISSN: 2377-2816

Form invariance and frame indifference of closure relations in LES

page 12
DOI: 10.1615/ICHMT.2009.TurbulHeatMassTransf.1850
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SINOPSIS

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.

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