Journal
JOURNAL OF FLUID MECHANICS
Volume 837, Issue -, Pages -Publisher
CAMBRIDGE UNIV PRESS
DOI: 10.1017/jfm.2017.894
Keywords
Benard convection; geostrophic turbulence; quasi-geostrophic flows
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Funding
- National Science Foundation [DMS-1317666, EAR-1620649, DMS-1317596]
- NASA Earth and Space Science Fellowship Program
- Division Of Earth Sciences
- Directorate For Geosciences [1620649] Funding Source: National Science Foundation
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The effect of domain anisotropy on the inverse cascade occurring within the geostrophic turbulence regime of rapidly rotating Rayleigh-Benard convection is investigated. In periodic domains with square cross-section in the horizontal, a domain-filling dipole state is present. For rectangular periodic domains, a Kolmogorov-like flow parallel to the short side and consisting of a periodic array of alternating unidirectional jets with embedded vortices is observed, together with an underlying weak meandering transverse jet. Similar transitions occurring in weakly dissipative two-dimensional flows driven by externally imposed small-amplitude noise and in classical hydrostatic geostrophic turbulence are a consequence of inviscid conservation of energy and potential enstrophy, and can be understood using statistical mechanics considerations. Rotating Rayleigh-Benard convection represents an important three-dimensional system with only one inviscid invariant which nonetheless exhibits large-scale structures driven by intrinsically generated fluctuations.
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