The SGS Kinetic Energy And The
Viscous Dissipation Equations As
Closure Relations In LES
Author(s)
F. Gallerano, L. Melilla & E. Pasero
Abstract
In this paper the main drawbacks of the large eddy simulation models, present in
literature, are analysed and 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. In this paper the main drawbacks
associated with the calculation of the viscous dissipation by means of an
algebraic model are shown. The calculation of the viscous dissipation is carried
out by integrating its exact balance equation. The velocity field obtained from
the numerical simulation is analysed by using vortex identification methods D, Q
and λ2. The comparative analysis of each identification method is also carried out,
highlighting how methods D and Q improperly associate the presence of a vortex
to zones of high vorticity while the λ2 method identifies a vortex only when it
coincides with a minimum of pressure.
Keywords: LES, sub grid kinetic energy viscous dissipation, balance equation
anisotropy, scale similarity, vortex identification.
Keywords
LES, sub grid kinetic energy viscous dissipation, balance equation
anisotropy, scale similarity, vortex identification.
Related Book
Other papers in this volume
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