Transient inverse energy cascade in free surface turbulence

Boffetta, G.; Musacchio, Stefano; Mazzino, Andrea; Rosti, Marco E.

doi:10.1103/physrevfluids.8.034601

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2023

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“…We remark that, since the flow has periodic boundary conditions, the effect of a finite L z is that just of reducing the number of modes available in the z direction. Different boundary conditions, such as those present in laboratory experiments, can change quantitatively the results [16]. We also remark that the horizontal scales L x and L y are assumed to be much larger than the other scales, and they will not play any role in the dynamics.…”

Section: Mathematical Modelsmentioning

confidence: 98%

Dimensional Transitions in Turbulence: The Effects of Rotation and Stratification

Boffetta

2023

Atmosphere

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The transition from two-dimensional to three-dimensional turbulence is a fascinating problem which finds applications in the study of geophysical flows. This paper briefly reviews the research in this field with emphasis on the role of rotation and stratification, two important ingredients of geophysical flows at large scales. By means of direct numerical simulations of the Navier–Stokes equations, the conditions for the emergence of a split cascade, with a simultaneous cascade of energy to both the large and the small scales, are discussed.

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Section: Mathematical Modelsmentioning

confidence: 98%