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.
Entropy Filtered Density Function for Large Eddy Simulation of Turbulent Flows
AIAA Journal ; 53 , 9 ; 2571-2587
2015-03-27
17 pages
Aufsatz (Zeitschrift)
Elektronische Ressource
Englisch
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