Entropy Filtered Density Function for Large Eddy Simulation of Turbulent Flows

A methodology termed entropy filtered density function (En-FDF) is developed to account for entropy transport in large eddy simulation of turbulent flows. The filtered entropy transport equation includes several unclosed terms which are the subgrid scale entropy flux and the filtered entropy generat...

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Bibliographic Details
Published in:AIAA journal 2015-09, Vol.53 (9), p.2571-2587
Main Authors: Sheikhi, M. R. H, Safari, M, Hadi, F
Format: Article
Language:English
Subjects:
Aerodynamics
Chemical reactions
Computational fluid dynamics
Computer simulation
Conduction heating
Conductive heat transfer
Density
Differential equations
Direct numerical simulation
Entropy
Entropy of reaction
Finite difference method
Large eddy simulation
Mathematical analysis
Mathematical models
Monte Carlo simulation
Scalars
Shear layers
Simulation
Transport equations
Turbulence
Vortices
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Summary:A methodology termed entropy filtered density function (En-FDF) is developed to account for entropy transport in large eddy simulation of turbulent flows. The filtered entropy transport equation includes several unclosed terms which are the subgrid scale entropy flux and the filtered entropy generation resulting from irreversibilities in heat conduction, mass diffusion, chemical reaction and viscous dissipation. The En-FDF contains the complete statistical information about entropy, velocity, scalar and turbulent frequency fields and thus, provides closure for all the unclosed terms in the filtered transport equations. An exact transport equation is derived for the En-FDF which contains the effects of convection along with chemical reaction and its associated entropy generation in closed forms. The En-FDF transport is modeled by a set of stochastic differential equations. The numerical solution procedure is based on a hybrid finite difference/Monte Carlo method in which the large eddy simulation filtered transport equations are solved by the finite difference, and the stochastic differential equations are solved by a Lagrangian Monte Carlo procedure. This methodology is applied for large eddy simulation of a turbulent shear layer involving transport of passive scalars and predictions are compared against the data generated by direct numerical simulation. The En-FDF predictions show favorable agreement with the direct numerical simulation data.
ISSN:0001-1452
1533-385X
DOI:10.2514/1.J053679