Dissipative Range Scaling of Higher Order Structure Functions for Velocity and Passive Scalars

Dissipative Range Scaling of Higher Order Structure Functions for Velocity and Passive Scalars

Gauding, M.
Boschung, J.
Hasse, C.
Peters, N.

2015-08-26

Differently to Kolmogorov's second similarity hypothesis, we find that the 2n-th order velocity and scalar structure functions scale with n-th order moment of the energy dissipation and the scalar dissipation, respectively. The origins of this scaling are analyzed by the transport equations of the fourth order velocity and scalar increment moments and by direct numerical simulations.

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