The multifractal analysis in Geophysical Flows. In memory of Prof. Jose Manuel Redondo Apraiz

This paper describes the multifractal methodology for analysis of different geophysical flows such as vertical plumes in water, wakes behind 3D Sparse grid turbulence generators in wind tunnel, wakes behind wind turbines and vortices in the Atmospheric Boundary Layer. A brief description of Kolmogorov K41, K62 theory of turbulence, the energy spectra, the structure function is given. The estimation of the fractal dimension was made using the ImaCalc Software for different cases with geophysical flows. The advantage of this method is that we can estimate the fractal dimension using the numerical results of different open source solvers in OpenFOAM library. The calculated spectra are presented from the ImaCalc program. Furthermore, this paper dedicates to the memory of Prof. Jose Manuel Redondo Apraiz (1956-2020) who worked in UPC, Barcelona, Spain and was a leader of the SIG 14 “Stably Stratified and Rotating Turbulence” in ERCOFTAC.