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Sub-Filter Scale Models for Scalar Transport in Large Eddy Simulations

Abstract

Large eddy simulation (LES) of turbulent heat transfer in an in- nite channel has been used to compare the performance of several promising sub-lter-scale models for modelling the transport of a passive scalar. The dynamic mixed model and the dynamic reconstruction model (a higher order version of the mixed model) have been reported in the literature to perform very well in LES of turbulent ow. Here these models are tested to determine the model's suitability for modelling transport of a passive scalar. These models together with the dynamic Smagorinsky model and a no-model case, are tested at a Prandtl number of 0.71 and Reynolds number of 180 based on wall friction velocity and channel half width. Both the dynamic reconstruction model and the dynamic mixed model perform very well showing clear improvement in the prediction of the mean ow and other turbulent statistics compared to the no-model case. The standard dynamic Smagorinsky model without the additional reconstruction terms performs quite poorly

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