Stochastic Coherent Adaptive Large-Eddy Simulation with explicit filtering

Stochastic Coherent Adaptive Large-Eddy Simulation is a novel approach to the numerical simulation of turbulence, based upon the wavelet thresholding filter, where the coherent energetic eddies are solved while modelling the influence of the less energetic background flow. In this study, in order to examine the quality and reliability of the method, additional explicit wavelet filtering is introduced by considering two different filtering levels: the physical level, which controls the turbulence model, and the numerical level that is responsible for the accuracy of the numerical simulations. The theoretical basis for explicit filtering and consistent dynamic modelling is given, and some preliminary numerical experiments are presented.