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Article
Infrared Reynolds number dependency of the two-dimensional inverse energy cascade
| Authors: |
Vallgren, |
| Document Type: |
Article |
| Pubstate: |
Published |
| Journal: |
Journal of Fluid Mechanics |
| Volume: |
667
463-473 |
| Year: |
2011 |
AbstractHigh-resolution simulations of forced two-dimensional turbulence reveal that the inverse cascade range is sensitive to an infrared Reynolds number, Re? = kf/k?, where kf is the forcing wavenumber and k? is a frictional wavenumber based on linear friction. In the limit of high Re?, the classic k?5/3 scaling is lost and we obtain steeper energy spectra. The sensitivity is traced to the formation of vortices in the inverse energy cascade range. Thus, it is hypothesized that the dual limit Re? ? ? and Re? = kd/kf ? ?, where kd is the small-scale dissipation wavenumber, will lead to a steeper energy spectrum than k?5/3 in the inverse energy cascade range. It is also found that the inverse energy cascade is maintained by non-local triad interactions.
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