The geostrophic regime of rapidly rotating turbulent convection

Rudie P.J. Kunnen (Corresponding author)

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Abstract

Rotating Rayleigh-Bénard convection is a simple model system used to study the
interplay of buoyant forcing and rotation. Many recent studies have focused on the
geostrophic regime of turbulent rotating convection where the principal balance of
forces is between the Coriolis force and the pressure gradient. This regime is believed to be representative of conditions in geophysical and astrophysical flows. We hope to be able to extrapolate findings from laboratory experiments and numerical simulations towards these large-scale natural flows. In this paper I sketch the phase diagram of the geostrophic regime of rotating convection, put experimental and numerical studies in their place in these diagrams and discuss the partitioning into subranges characterized by different flow structures and heat transfer scaling. I also discuss some complications faced by experimentalists, such as constraints on the dimensions of the convection cell, wall modes near the sidewall and centrifugal buoyancy.
Original languageEnglish
Pages (from-to)267-296
Number of pages30
JournalJournal of Turbulence
Volume22
Issue number4-5
Early online date26 Jan 2021
DOIs
Publication statusPublished - 2021

Funding

The author received funding from the European Research Council (ERC) under the H2020 European Research Council research and innovation programme (Grant agreement No. 678634). The author is grateful for the support of the Netherlands Organisation for Scientific Research (NWO) for the use of supercomputer facilities (Cartesius) under Grants No. 15462, 16467, 2019.005, and 2020.009. I wish to thank my collaborators on the topic of rotating convection over the years: Andrés Aguirre Guzmán, Kim Alards, Jonathan Aurnou, Jonathan Cheng, Herman Clercx, Yoann Corre, Bernard Geurts, GertJan van Heijst, Pranav Joshi, Keith Julien, Detlef Lohse, Matteo Madonia, Jaap Molenaar, Rodolfo Ostilla-Mónico, Jim Overkamp, Erwin van der Poel, Jim Portegies, Hadi Rajaei, Richard Stevens, Chao Sun, Federico Toschi, Roberto Verzicco and Xander de Wit. I learned a lot from the contributions of and discussions with the other participants at the workshop ‘Rotating Convection: from the Lab to the Stars’ (May–June 2018) organised and supported by the Lorentz Center at the University of Leiden (http://www.lorentzcenter.nl/). Special thanks go to the fellow organisers Robert Ecke, Pascale Garaud, Keith Julien and Stephan Weiss. An experimentalist would be lost without technical support. I want to thank Ad Holten, Gerald Oerlemans, Freek van Uittert and Jørgen van der Veen, technicians of the Fluids and Flows group, for their input and assistance, and the Equipment and Prototype Center (EPC) of Eindhoven University of Technology for the realisation of the TROCONVEX setup.

FundersFunder number
European Union's Horizon 2020 - Research and Innovation Framework Programme
Lorentz Center
European Union's Horizon 2020 - Research and Innovation Framework Programme678634
H2020 European Research Council
Eindhoven University of Technology
Nederlandse Organisatie voor Wetenschappelijk Onderzoek2019.005, 2020.009, 15462, 16467

    Keywords

    • Turbulent rotating convection
    • direct numerical simulations
    • flow structures
    • inverse energy cascade
    • laboratory experiments

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