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This work presents an analysis of the scaling properties of the MMLM method, used for the numerical construction of three-dimensional turbulent vector fields. Specifically, the scaling properties for the velocity field structure functions are studied. It is found that MMLM gives scaling of Kolmorogov type. If the mapping parameter, which is given by a time scale based on node separation over the computational mesh, is modified and equated to the characteristic time for eddy evolution at each spatial scale, the synthetic turbulent field presents the characteristic anomalous scaling of real turbulent fields, with very good agreement with respect to the known values. In addition, we study the intermittency and multifractal nature of the energy dissipation distribution. Results are also consistent with observations in real turbulence. The study sheds new light over the minimal dynamical requirements to obtain anomalous scaling in the inertial range.

Turbulencia sintética tridimensional: escalamiento anómalo en el rango inercial y propiedades multifractales de la disipación