-In this paper, the relation between the Noll formulation of the principle of material frame indifference and the principle of turbulent frame indifference in large eddy simulation, is revised. The principle of material frame indifference and the principle of turbulent frame indifference proposed by Hutter and Joenk imposes that both constitutive equations and turbulent closure relations must respect both the requirement of form invariance, and the requirement of frame independence. In this paper, a new rule for the formalization of turbulent closure relations, is proposed. The generalized SGS turbulent stress tensor is related exclusively to the generalized SGS turbulent kinetic energy, which is calculated by means of its balance equation, and the modified Leonard tensor.

Noll’s axioms and formulation of the closure relations for the subgrid turbulent tensor in large eddy simulation / Gallerano, Francesco; Cannata, Giovanni. - In: WSEAS TRANSACTIONS ON FLUID MECHANICS. - ISSN 1790-5087. - 15:(2020), pp. 85-90. [10.37394/232013.2020.15.8]

Noll’s axioms and formulation of the closure relations for the subgrid turbulent tensor in large eddy simulation

Gallerano, Francesco
Conceptualization
;
Cannata, Giovanni
Conceptualization
2020

Abstract

-In this paper, the relation between the Noll formulation of the principle of material frame indifference and the principle of turbulent frame indifference in large eddy simulation, is revised. The principle of material frame indifference and the principle of turbulent frame indifference proposed by Hutter and Joenk imposes that both constitutive equations and turbulent closure relations must respect both the requirement of form invariance, and the requirement of frame independence. In this paper, a new rule for the formalization of turbulent closure relations, is proposed. The generalized SGS turbulent stress tensor is related exclusively to the generalized SGS turbulent kinetic energy, which is calculated by means of its balance equation, and the modified Leonard tensor.
2020
form invariance; frame dependence; frame indifference; large eddy simulation; Noll’s axioms; turbulent closure relations
01 Pubblicazione su rivista::01a Articolo in rivista
Noll’s axioms and formulation of the closure relations for the subgrid turbulent tensor in large eddy simulation / Gallerano, Francesco; Cannata, Giovanni. - In: WSEAS TRANSACTIONS ON FLUID MECHANICS. - ISSN 1790-5087. - 15:(2020), pp. 85-90. [10.37394/232013.2020.15.8]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/1388813
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