Wavelet based model for small-scale turbulence
В. Д. Зимин, Fazle Hussain · Physics of Fluids · 1995
Using a vector wavelet decomposition of the velocity field a simple model for locally isotropic turbulence has been derived from the Navier–Stokes equation (NSE). This model, which involves no empirical or ad hoc parameter, incorporates nonlocal interscale interactions, reveals backscatter and can be applied to represent small-scale turbulence in LES schemes. The model gives a stationary solution which corresponds to k−5/3 Kolmogorov spectrum. Moreover, the model equations produce k4 infrared spectrum from an initial energy peak at intermediate scales.