One-Equation Subgrid Scale Model Using Dynamic Procedure for the Energy Production

The transport equation of subgrid scale (SGS) kinetic energy, K_SGS, is used for the large-eddy simulation (LES), considering its possible consistency with dynamic procedure. The smallest scale portion in computationally resolved turbulence, which is estimated in the dynamic model, has closer relationship with largest scale in SGS. Therefore the dynamically determined parameter is more suitable for describing the energy transfer between resolved and SGS turbulence, rather than the energy dissipation through the SGS eddy-viscosity in the filtered equation of motion. Such an energy transfer is represented by the production term in the transport equation of K_SGS in our model. Computational examination has been conducted for fully developed turbulent flow in a plane channel. Agreement with DNS database was fine and it was improved by refining the grid.