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We propose a model for assessing the unresolved wrinkling factor in LES ofturbulent premixed combustion. It relies essentially on a power-law dependenceof the wrinkling factor to the filter size and an original expression for theactive corrugating strain rate. The latter is written as a product of anefficiency function which accounts for viscous effects and the kinematicconstraint of Peters, by a recent expression for the turbulent strainintensity. Yields functional expressions for the fractal dimension and theinner cut-off length scale, the latter being (i) filter-size independent and(ii) consistent with the Damk\"ohler asymptotic behaviors at both large andsmall Karlovitz numbers. A new expression for the wrinkling factor whichincorporates finite Reynolds numbers effects is further proposed. Finally, themodel is successfully assessed on an experimental filtered database.

Modelling of the subgrid scale wrinkling factor for large-eddy simulation of turbulent premixed combustion