Wavelet based model for small-scale turbulence

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.