Randomness representation in turbulent flows with bed roughness elements using the spectrum of the Kolmogorov complexity.

One feature of turbulent flow in relation to randomness is quantified. Experimental data from a turbulent flow collected in a laboratory channel with bed roughness elements of different densities are used. An analysis based on a classical turbulence statistics is performed, using a simple empirical model for estimating the relative sizes of mixing lengths representing the typical scale of an eddy in the corresponding surface layer, to describe the turbulence in terms of irregular or random flow. Instead of such description a quantification of the turbulence flow using measures based on the spectrum of the Kolmogorov complexity (KC) is proposed.