Energy transfer across scales around elliptic Burgers vortices

Abstract eng:
Sammafy In turbulence, vortices emerge and the energy transfer across scales mainly occurs around the vortices. It is known that the vortices are approximated as elliptic Burgers vortices. We analytically and numerically examined the energy transfer across scales around the elliptic Burgers vortices. We found that the regions of the forward scatter (energy transfer from large-scale to small-scale) have a double-peak structure around the vortex and those appear in the direction of the minimum eigenvalue of the velocity strain tensor whereas the regions of the backward scatter (energy transfer fiom small-scale to large-scale) with a double- peak structure emerge in the direction of the maximum eigenvalue. Those double-peak structures distribute as a quadrupole around the vortex. By integrating the energy transfer distribution around the vortex in the azimuthal direction, we revealed that the net energy transfer becomes the forward scatter and takes place at the centre of the vortex.

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