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

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.

[1]  P. Moin,et al.  A dynamic subgrid‐scale eddy viscosity model , 1990 .

[2]  B. Geurts,et al.  Large-eddy simulation of the turbulent mixing layer , 1997, Journal of Fluid Mechanics.

[3]  J. Ferziger,et al.  Explicit Filtering and Reconstruction Turbulence Modeling for Large-Eddy Simulation of Neutral Boundary Layer Flow , 2005 .

[4]  D. Bergstrom,et al.  A General Dynamic Linear Tensor-Diffusivity Subgrid-Scale Heat Flux Model for Large-Eddy Simulation of Turbulent Thermal Flows , 2007 .

[5]  C. Dopazo,et al.  A priori and a posteriori tests of subgrid scale models for scalar transport , 2001 .

[6]  Tellervo T. Brandt.  A priori tests on numerical errors in large eddy simulation using finite differences and explicit filtering , 2006 .

[7]  Hervé Jeanmart,et al.  On the modelling of the subgrid-scale and filtered-scale stress tensors in large-eddy simulation , 2001, Journal of Fluid Mechanics.

[8]  S. Armfield,et al.  A representation of curved boundaries for the solution of the Navier-Stokes equations on a staggered three-dimensional Cartesian grid , 2003 .

[9]  T. Lund,et al.  Experiments with explicit filtering for LES using a finite-difference method , 1995 .

[10]  Maria Vittoria Salvetti,et al.  A Priori Tests of a New Dynamic Subgrid-Scale Model for Finite-Difference Large-Eddy Simulations , 1995 .

[11]  Giuliano De Stefano,et al.  “Perfect” modeling framework for dynamic SGS model testing in large eddy simulation , 2004 .

[12]  Fotini K Atopodes.  The effect of numerical errors and turbulence models in large-eddy simulations of channel flow, with and without explicit filtering , 2003 .

[13]  Elias Balaras,et al.  Scale-Similar Models for Large-Eddy Simulations , 1999 .

[14]  Yuichi Matsuo,et al.  Direct Numerical Simulation of a Fully Developed Turbulent Channel Flow With Respect to the Reynolds Number Dependence , 2001 .

[15]  P. Moin,et al.  A dynamic subgrid‐scale model for compressible turbulence and scalar transport , 1991 .

[16]  Hervé Jeanmart,et al.  Explicit-filtering large-eddy simulation using the tensor-diffusivity model supplemented by a dynami , 2001 .

[17]  J. Koseff,et al.  A dynamic mixed subgrid‐scale model and its application to turbulent recirculating flows , 1993 .

[18]  D. Bergstrom,et al.  Large-eddy simulation of combined forced and natural convection in a vertical plane channel , 2007 .

[19]  Shia-Hui Peng,et al.  On a Subgrid-Scale Heat Flux Model for Large Eddy Simulation of Turbulent Thermal Flow , 2002 .