Investigation on the multi-mode spiral vortex cluster structure based on the hierarchical spectrum

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We conducted extraction of hierarchical-nonequilibrim energy spectrum in the turbulent field using the DNS and experimental measurement data. It is shown that nonequilibrium components with -7/3 and -9/3 powers resides in both data in addition to the equilibrium Kolmogorov -5/3 power component, but the -9/3 power component associates an algebraic- logarithmic correction. The role of the nonequilibrium spectrum in the generation of unsteady energy cascade is elucidated. The stretched-spiral vortices with 3 modes of configurations are identified in the DNS data, and the correlation between the generation process of the energy cascade and the formation process of the spiral vortex cluster by the instability cascade is revealed.