The objective of this study is to develop the SGS stress and heat-flux models that are suitable for the dynamic procedure using FDM. The models are derived with taking the consistency of the numerical error in the procedure under consideration [1]. They are assessed a priori using the DNS data of the stably stratified turbulent channel flow. It was found that for the SGS heat-flux modeling, effect of the GS velocity gradient plays an important role for the estimation of especially the streamwise heat-flux. Therefore for the SGS heat-flux model, isotropic eddy diffusivity together with the effect of the GS velocity was finally proposed. The proposed models were also found to be insensitive to the discretized test filtering operation.

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