Large Eddy Simulation And
The Filtered Equation Of A Contaminant
Author(s)
F. Gallerano, L. Melilla & G. Cannata
Abstract
A new model of LES is proposed together with a new methodology for the
simulation of concentration fields of contaminant coherent with the LES
methodology. In this paper a new LES model is proposed. The closure relation
for the generalised SGS turbulent stress tensor: a) complies with the principle of
turbulent frame indifference; b) takes into account both the anisotropy of the
turbulence velocity scales and turbulence length scales; c) removes any balance
assumption between the production and dissipation of SGS turbulent kinetic
energy. In the proposed model: a) the closure coefficient which appears in the
closure relation for the generalised SGS turbulent stress tensor is theoretically
and uniquely determined without adopting Germano’s dynamic procedure; b) the
generalised SGS turbulent stress tensor is related exclusively to the generalised
SGS turbulent kinetic energy (which is calculated by means of its balance
equation) and the modified Leonard tensor. The calculation of the viscous
dissipation is carried out by integrating its exact balance equation. In this paper
the form invariance and frame dependence of the above mentioned equation of
the viscous dissipation transport is shown. The concentration field is simulated
by the spatially filtered equation of the concentration. In this equation the
first-order tensor (produced by the correlation between the velocity and the
concentration) is related to the gradient of the resolved concentration according
to an original dynamic Germano procedure.
Keywords: concentration, contaminant, LES, turbulence.
1 A new LES model
In order to remove the assumption of alignment between the unresolved part of
the generalised SGS turbulent stress tensor and the resolved strain rate tensor and
Keywords
concentration, contaminant, LES, turbulence.
Related Book
Other papers in this volume
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