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arXiv · 2508.00340

Energy cascades in rotating and stratified turbulence in anisotropic domains

Alexandros Alexakis·Raffaele Marino·Pablo D. Mininni
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Abstract

The concept of inverse energy cascades has played a central role in the development of turbulence theory, with applications in two-dimensional and quasi-two-dimensional flows. We examine the presence or absence of inverse energy cascades in rotating stably stratified flows constrained to anisotropic yet fully three-dimensional domains, in a range of parameters that are relevant for planetary atmospheres. In particular, we focus on regimes with aspect ratios, Rossby, and Froude numbers similar to those found in the Earth's and other planets atmospheres. Our results show that, under certain conditions, inverse energy cascades can indeed emerge from the dry fluid dynamics solely, suggesting that this process can play a role in intermediate-scale atmospheric self-organization processes.

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Alexandros Alexakis, Raffaele Marino, Pablo D. Mininni. 2025-08-01. Energy cascades in rotating and stratified turbulence in anisotropic domains. https://doi.org/10.1017/jfm.2026.11301

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