Wavelet-based statistics of energy transfer in high Reynolds number three-dimensional homogeneous isotropic turbulence

We examine small-scale statistics of energy transfer from a scale within grid scales to subgrid scales localized in space and scale in high Reynolds number fully developed turbulence. An orthonormal wavelet decomposition method is applied to data of three-dimensional incompressible homogeneous isotropic turbulence with Taylor microscale Reynolds number 471. We find that the energy transfer and the kinetic energy localized in space and scale have strong correlation in the inertial subrange though they are almost uncorrelated in the dissipation range. The correlation is enhanced by the positive values for the transfer, while it is reduced by the negative values for the transfer.