Turbulent Rotating Rayleigh–Bénard Convection

Ecke, Robert Everett; Shishkina, Olga

doi:10.1146/annurev-fluid-120720-020446

Turbulent Rotating Rayleigh–Bénard Convection

Journal Article · Thu Oct 20 00:00:00 EDT 2022 · Annual Review of Fluid Mechanics

DOI:https://doi.org/10.1146/annurev-fluid-120720-020446· OSTI ID:1960180

^[1]; Shishkina, Olga ^[2]

Los Alamos National Lab. (LANL), Los Alamos, NM (United States). Center for Nonlinear Studies (CNLS); University of Washington, Seattle, WA (United States)
Max Planck Institute for Dynamics and Self-Organization, Göttingen (Germany)

Rotation with thermally induced buoyancy governs many astrophysical and geophysical processes in the atmosphere, ocean, sun, and Earth's liquid-metal outer core. Rotating Rayleigh–Bénard convection (RRBC) is an experimental system that has features of rotation and buoyancy, where a container of height H and temperature difference Δ between its bottom and top is rotated about its vertical axis with angular velocity Ω. The strength of buoyancy is reflected in the Rayleigh number (~ H³Δ) and that of the Coriolis force in the Ekman and Rossby numbers (~Ω^-1). Rotation suppresses the convective onset, introduces instabilities, changes the velocity boundary layers, modifies the shape of thermal structures from plumes to vortical columns, affects the large-scale circulation, and can decrease or enhance global heat transport depending on buoyant and Coriolis forcing. RRBC is an extremely rich system, with features directly comparable to geophysical and astrophysical phenomena. Here we review RRBC studies, suggest a unifying heat transport scaling approach for the transition between rotation-dominated and buoyancy-dominated regimes in RRBC, and discuss non-Oberbeck–Boussinesq and centrifugal effects.

View Accepted Manuscript (DOE)

Research Organization:: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)

Sponsoring Organization:: USDOE Laboratory Directed Research and Development (LDRD) Program; USDOE National Nuclear Security Administration (NNSA)

Grant/Contract Number:: 89233218CNA000001

OSTI ID:: 1960180

Report Number(s):: LA-UR-22-26951

Journal Information:: Annual Review of Fluid Mechanics, Journal Name: Annual Review of Fluid Mechanics Journal Issue: 1 Vol. 55; ISSN 0066-4189

Publisher:: Annual ReviewsCopyright Statement

Country of Publication:: United States

Language:: English

References (175)

Ueber die Wärmeleitung der Flüssigkeiten bei Berücksichtigung der Strömungen infolge von Temperaturdifferenzen Oberbeck, A. Annalen der Physik und Chemie, Vol. 243, Issue 6 https://doi.org/10.1002/andp.18792430606	journal	January 1879
An Overlapping Schwarz Method for Spectral Element Solution of the Incompressible Navier–Stokes Equations Fischer, Paul F. Journal of Computational Physics, Vol. 133, Issue 1 https://doi.org/10.1006/jcph.1997.5651	journal	May 1997
Geophysical Fluid Dynamics Pedlosky, Joseph https://doi.org/10.1007/978-1-4612-4650-3	book	January 1987
The validity of the boussinesq approximation for liquids and gases Gray, Donald D.; Giorgini, Aldo International Journal of Heat and Mass Transfer, Vol. 19, Issue 5 https://doi.org/10.1016/0017-9310(76)90168-X	journal	May 1976
Fronts, pulses, sources and sinks in generalized complex Ginzburg-Landau equations van Saarloos, Wim; Hohenberg, P. C. Physica D: Nonlinear Phenomena, Vol. 56, Issue 4 https://doi.org/10.1016/0167-2789(92)90175-M	journal	June 1992
Rotating convection: recent developments Knobloch, Edgar International Journal of Engineering Science, Vol. 36, Issue 12-14 https://doi.org/10.1016/S0020-7225(98)00041-X	journal	September 1998
Comparison of computational codes for direct numerical simulations of turbulent Rayleigh–Bénard convection Kooij, Gijs L.; Botchev, Mikhail A.; Frederix, Edo M. A. Computers & Fluids, Vol. 166 https://doi.org/10.1016/j.compfluid.2018.01.010	journal	April 2018
Turbulence statistics and energy budget in rotating Rayleigh–Bénard convection Kunnen, R. P. J.; Geurts, B. J.; Clercx, H. J. H. European Journal of Mechanics - B/Fluids, Vol. 28, Issue 4 https://doi.org/10.1016/j.euromechflu.2009.01.003	journal	July 2009
Heat transport and flow structure in rotating Rayleigh–Bénard convection Stevens, Richard J. A. M.; Clercx, Herman J. H.; Lohse, Detlef European Journal of Mechanics - B/Fluids, Vol. 40 https://doi.org/10.1016/j.euromechflu.2013.01.004	journal	July 2013
Scaling of heat transport near onset in rapidly rotating convection Ecke, Robert E. Physics Letters A, Vol. 379, Issue 37 https://doi.org/10.1016/j.physleta.2015.06.053	journal	October 2015
Rapidly rotating thermal convection at low Prandtl number Dawes, J. H. P. Journal of Fluid Mechanics, Vol. 428 https://doi.org/10.1017/S002211200000255X	journal	February 2001
Numerical experiments on strongly turbulent thermal convection in a slender cylindrical cell Verzicco, Roberto; Camussi, Roberto Journal of Fluid Mechanics, Vol. 477 https://doi.org/10.1017/S0022112002003063	journal	February 2003
Turbulent rotating convection: an experimental study Vorobieff, Peter; Ecke, Robert E. Journal of Fluid Mechanics, Vol. 458 https://doi.org/10.1017/S0022112002007814	journal	May 2002
From laminar plumes to organized flows: the onset of large-scale circulation in turbulent thermal convection Xi, Heng-Dong; Lam, Siu; Xia, Ke-Qing Journal of Fluid Mechanics, Vol. 503 https://doi.org/10.1017/S0022112004008079	journal	January 1999
Numerical simulation of an asymptotically reduced system for rotationally constrained convection Sprague, Michael; Julien, Keith; Knobloch, Edgar Journal of Fluid Mechanics, Vol. 551, Issue -1 https://doi.org/10.1017/S0022112005008499	journal	March 2006
Centrifugal effects in rotating convection: axisymmetric states and three-dimensional instabilities Marques, F.; Mercader, I.; Batiste, O. Journal of Fluid Mechanics, Vol. 580 https://doi.org/10.1017/S0022112007005447	journal	May 2007
Centrifugal effects in rotating convection: nonlinear dynamics Lopez, J. M.; Marques, F. Journal of Fluid Mechanics, Vol. 628 https://doi.org/10.1017/S0022112009006193	journal	June 2009
Experimental and numerical investigation of turbulent convection in a rotating cylinder Kunnen, R. P. J.; Geurts, B. J.; Clercx, H. J. H. Journal of Fluid Mechanics, Vol. 642 https://doi.org/10.1017/S002211200999190X	journal	December 2009
Turbulent rotating convection at high Rayleigh and Taylor numbers Niemela, J. J.; Babuin, S.; Sreenivasan, K. R. Journal of Fluid Mechanics, Vol. 649 https://doi.org/10.1017/S0022112009994101	journal	April 2010
Patterns in rotating Rayleigh–Bénard convection at high rotation rates Scheel, J. D.; Mutyaba, P. L.; Kimmel, T. Journal of Fluid Mechanics, Vol. 659 https://doi.org/10.1017/S0022112010002399	journal	June 2010
Heat transport and the large-scale circulation in rotating turbulent Rayleigh–Bénard convection Zhong, Jin-Qiang; Ahlers, Guenter Journal of Fluid Mechanics, Vol. 665 https://doi.org/10.1017/S002211201000399X	journal	October 2010
Turbulent Rayleigh–Bénard convection in a cylindrical container with aspect ratio Γ = 0.50 and Prandtl number Pr = 4.38 Weiss, Stephan; Ahlers, Guenter Journal of Fluid Mechanics, Vol. 676 https://doi.org/10.1017/S0022112010005963	journal	February 2011
On almost rigid rotations Stewartson, K. Journal of Fluid Mechanics, Vol. 3, Issue 1 https://doi.org/10.1017/S0022112057000452	journal	October 1957
Cellular convection with finite amplitude in a rotating fluid Veronis, G. Journal of Fluid Mechanics, Vol. 5, Issue 3 https://doi.org/10.1017/S0022112059000283	journal	April 1959
On the influence of Coriolis force on onset of thermal convection Niiler, P. P.; Bisshopp, F. E. Journal of Fluid Mechanics, Vol. 22, Issue 04 https://doi.org/10.1017/S002211206500112X	journal	August 1965
Transition from laminar convection to thermal turbulence in a rotating fluid layer Küppers, G.; Lortz, D. Journal of Fluid Mechanics, Vol. 35, Issue 3 https://doi.org/10.1017/S0022112069001327	journal	February 1969
A study of Bénard convection with and without rotation Rossby, H. T. Journal of Fluid Mechanics, Vol. 36, Issue 2 https://doi.org/10.1017/S0022112069001674	journal	April 1969
Centrifugal convection and its effect on the asymptotic stability of a bounded rotating fluid heated from below Homsy, G. M.; Hudson, J. L. Journal of Fluid Mechanics, Vol. 48, Issue 3 https://doi.org/10.1017/S0022112071001769	journal	August 1971
Stability and heat transfer of rotating cryogens. Part 1. Influence of rotation on the onset of convection in liquid 4 He Lucas, P. G. J.; Pfotenhauer, J. M.; Donnelly, R. J. Journal of Fluid Mechanics, Vol. 129, Issue -1 https://doi.org/10.1017/S0022112083000750	journal	April 1983
Experimental study of convective structures in rotating fluids Boubnov, B. M.; Golitsyn, G. S. Journal of Fluid Mechanics, Vol. 167, Issue -1 https://doi.org/10.1017/S002211208600294X	journal	June 1986
Stability and heat transfer of rotating cryogens. Part 3. Effects of finite cylindrical geometry and rotation on the onset of convection Pfotenhauer, J. M.; Niemela, J. J.; Donnelly, R. J. Journal of Fluid Mechanics, Vol. 175, Issue -1 https://doi.org/10.1017/S0022112087000296	journal	February 1987
Effects of rotation on convective turbulence Fernando, Harindra J. S.; Chen, Rui-Rong; Boyer, Don L. Journal of Fluid Mechanics Digital Archive, Vol. 228 https://doi.org/10.1017/S002211209100280X	journal	July 1991
Convection in a rotating cylinder. Part 1 Linear theory for moderate Prandtl numbers Goldstein, H. F.; Knobloch, E.; Mercader, I. Journal of Fluid Mechanics, Vol. 248 https://doi.org/10.1017/S0022112093000928	journal	March 1993
Rotating Rayleigh–Bénard convection: asymmetric modes and vortex states Zhong, Fang; Ecke, Robert E.; Steinberg, Victor Journal of Fluid Mechanics, Vol. 249, Issue -1 https://doi.org/10.1017/S0022112093001119	journal	April 1993
Asymptotic theory of wall-attached convection in a rotating fluid layer Herrmann, J.; Busse, F. H. Journal of Fluid Mechanics, Vol. 255, Issue -1 https://doi.org/10.1017/S0022112093002447	journal	October 1993
Rapidly rotating turbulent Rayleigh-Bénard convection Julien, K.; Legg, S.; Mcwilliams, J. Journal of Fluid Mechanics, Vol. 322 https://doi.org/10.1017/S0022112096002789	journal	September 1996
The horizontal scale of rotating convection in the geostrophic regime Sakai, Satoshi Journal of Fluid Mechanics, Vol. 333 https://doi.org/10.1017/S0022112096004168	journal	February 1997
Strongly turbulent Rayleigh–Bénard convection in mercury: comparison with results at moderate Prandtl number Cioni, S.; Ciliberto, S.; Sommeria, J. Journal of Fluid Mechanics, Vol. 335 https://doi.org/10.1017/S0022112096004491	journal	March 1997
On the influence of centrifugal buoyancy on rotating convection Hart, J. E. Journal of Fluid Mechanics, Vol. 403 https://doi.org/10.1017/S0022112099006928	journal	January 2000
Instability of rotating convection Cox, S. M.; Matthews, P. C. Journal of Fluid Mechanics, Vol. 403 https://doi.org/10.1017/S0022112099006941	journal	January 2000
Scaling in thermal convection: a unifying theory Grossmann, Siegfried; Lohse, Detlef Journal of Fluid Mechanics, Vol. 407 https://doi.org/10.1017/S0022112099007545	journal	March 2000
Heat transport by turbulent rotating Rayleigh–Bénard convection and its dependence on the aspect ratio Weiss, Stephan; Ahlers, Guenter Journal of Fluid Mechanics, Vol. 684 https://doi.org/10.1017/jfm.2011.309	journal	September 2011
The role of Stewartson and Ekman layers in turbulent rotating Rayleigh–Bénard convection Kunnen, Rudie P. J.; Stevens, Richard J. A. M.; Overkamp, Jim Journal of Fluid Mechanics, Vol. 688 https://doi.org/10.1017/jfm.2011.383	journal	October 2011
The large-scale flow structure in turbulent rotating Rayleigh–Bénard convection Weiss, Stephan; Ahlers, Guenter Journal of Fluid Mechanics, Vol. 688 https://doi.org/10.1017/jfm.2011.392	journal	November 2011
Heat transfer by rapidly rotating Rayleigh–Bénard convection King, E. M.; Stellmach, S.; Aurnou, J. M. Journal of Fluid Mechanics, Vol. 691 https://doi.org/10.1017/jfm.2011.493	journal	January 2012
Scaling behaviour in Rayleigh–Bénard convection with and without rotation King, E. M.; Stellmach, S.; Buffett, B. Journal of Fluid Mechanics, Vol. 717 https://doi.org/10.1017/jfm.2012.586	journal	February 2013
Boundary layers and wind in cylindrical Rayleigh–Bénard cells Wagner, Sebastian; Shishkina, Olga; Wagner, Claus Journal of Fluid Mechanics, Vol. 697 https://doi.org/10.1017/jfm.2012.69	journal	March 2012
The structure of sidewall boundary layers in confined rotating Rayleigh–Bénard convection Kunnen, R. P. J.; Clercx, H. J. H.; van Heijst, G. J. F. Journal of Fluid Mechanics, Vol. 727 https://doi.org/10.1017/jfm.2013.285	journal	June 2013
Falkner–Skan boundary layer approximation in Rayleigh–Bénard convection Shishkina, Olga; Horn, Susanne; Wagner, Sebastian Journal of Fluid Mechanics, Vol. 730 https://doi.org/10.1017/jfm.2013.347	journal	August 2013
Large-scale vortices in rapidly rotating Rayleigh–Bénard convection Guervilly, Céline; Hughes, David W.; Jones, Chris A. Journal of Fluid Mechanics, Vol. 758 https://doi.org/10.1017/jfm.2014.542	journal	October 2014
Toroidal and poloidal energy in rotating Rayleigh–Bénard convection Horn, Susanne; Shishkina, Olga Journal of Fluid Mechanics, Vol. 762 https://doi.org/10.1017/jfm.2014.652	journal	December 2014
A nonlinear model for rotationally constrained convection with Ekman pumping Julien, Keith; Aurnou, Jonathan M.; Calkins, Michael A. Journal of Fluid Mechanics, Vol. 798 https://doi.org/10.1017/jfm.2016.225	journal	May 2016
Transition to geostrophic convection: the role of the boundary conditions Kunnen, Rudie P. J.; Ostilla-Mónico, Rodolfo; van der Poel, Erwin P. Journal of Fluid Mechanics, Vol. 799 https://doi.org/10.1017/jfm.2016.394	journal	June 2016
The effects of Ekman pumping on quasi-geostrophic Rayleigh–Bénard convection Plumley, Meredith; Julien, Keith; Marti, Philippe Journal of Fluid Mechanics, Vol. 803 https://doi.org/10.1017/jfm.2016.452	journal	August 2016
Subcritical convection of liquid metals in a rotating sphere using a quasi-geostrophic model Guervilly, Céline; Cardin, Philippe Journal of Fluid Mechanics, Vol. 808 https://doi.org/10.1017/jfm.2016.631	journal	October 2016
Scaling regimes in spherical shell rotating convection Gastine, Thomas; Wicht, Johannes; Aubert, Julien Journal of Fluid Mechanics, Vol. 808 https://doi.org/10.1017/jfm.2016.659	journal	November 2016
Prograde, retrograde, and oscillatory modes in rotating Rayleigh–Bénard convection Horn, Susanne; Schmid, Peter J. Journal of Fluid Mechanics, Vol. 831 https://doi.org/10.1017/jfm.2017.631	journal	October 2017
Impact of domain anisotropy on the inverse cascade in geostrophic turbulent convection Julien, Keith; Knobloch, Edgar; Plumley, Meredith Journal of Fluid Mechanics, Vol. 837 https://doi.org/10.1017/jfm.2017.894	journal	January 2018
Rotating thermal convection in liquid gallium: multi-modal flow, absent steady columns Aurnou, Jonathan M.; Bertin, Vincent; Grannan, Alexander M. Journal of Fluid Mechanics, Vol. 846 https://doi.org/10.1017/jfm.2018.292	journal	May 2018
Bulk temperature and heat transport in turbulent Rayleigh–Bénard convection of fluids with temperature-dependent properties Weiss, Stephan; He, Xiaozhou; Ahlers, Guenter Journal of Fluid Mechanics, Vol. 851 https://doi.org/10.1017/jfm.2018.507	journal	July 2018
Horizontal diffusive motion of columnar vortices in rotating Rayleigh–Bénard convection Noto, D.; Tasaka, Y.; Yanagisawa, T. Journal of Fluid Mechanics, Vol. 871 https://doi.org/10.1017/jfm.2019.313	journal	May 2019
Subcritical turbulent condensate in rapidly rotating Rayleigh–Bénard convection Favier, Benjamin; Guervilly, Céline; Knobloch, Edgar Journal of Fluid Mechanics, Vol. 864 https://doi.org/10.1017/jfm.2019.58	journal	February 2019
On the inverse cascade and flow speed scaling behaviour in rapidly rotating Rayleigh–Bénard convection Maffei, S.; Krouss, M. J.; Julien, K. Journal of Fluid Mechanics, Vol. 913 https://doi.org/10.1017/jfm.2020.1058	journal	March 2021
Rotating turbulent thermal convection at very large Rayleigh numbers Wedi, Marcel; van Gils, Dennis P. M.; Bodenschatz, Eberhard Journal of Fluid Mechanics, Vol. 912 https://doi.org/10.1017/jfm.2020.1149	journal	February 2021
Robust wall states in rapidly rotating Rayleigh–Bénard convection Favier, Benjamin; Knobloch, Edgar Journal of Fluid Mechanics, Vol. 895 https://doi.org/10.1017/jfm.2020.310	journal	May 2020
Tenacious wall states in thermal convection in rapidly rotating containers Shishkina, Olga Journal of Fluid Mechanics, Vol. 898 https://doi.org/10.1017/jfm.2020.420	journal	June 2020
Scaling behaviour in spherical shell rotating convection with fixed-flux thermal boundary conditions Long, R. S.; Mound, J. E.; Davies, C. J. Journal of Fluid Mechanics, Vol. 889 https://doi.org/10.1017/jfm.2020.67	journal	February 2020
Oscillatory thermal–inertial flows in liquid metal rotating convection Vogt, Tobias; Horn, Susanne; Aurnou, Jonathan M. Journal of Fluid Mechanics, Vol. 911 https://doi.org/10.1017/jfm.2020.976	journal	January 2021
Multiple heat transport maxima in confined-rotating Rayleigh–Bénard convection Hartmann, Robert; Verzicco, Roberto; Klein Kranenbarg, Liesbeth Journal of Fluid Mechanics, Vol. 939 https://doi.org/10.1017/jfm.2021.1031	journal	March 2022
Boundary zonal flows in rapidly rotating turbulent thermal convection Zhang, Xuan; Ecke, Robert E.; Shishkina, Olga Journal of Fluid Mechanics, Vol. 915 https://doi.org/10.1017/jfm.2021.74	journal	March 2021
Force balance in rapidly rotating Rayleigh–Bénard convection Aguirre Guzmán, Andrés J.; Madonia, Matteo; Cheng, Jonathan S. Journal of Fluid Mechanics, Vol. 928 https://doi.org/10.1017/jfm.2021.802	journal	October 2021
Bounds for rotating Rayleigh–Bénard convection at large Prandtl number Tilgner, A. Journal of Fluid Mechanics, Vol. 930 https://doi.org/10.1017/jfm.2021.930	journal	November 2021
On the centrifugal effect in turbulent rotating thermal convection: onset and heat transport Hu, Yun-Bing; Xie, Yi-Chao; Xia, Ke-Qing Journal of Fluid Mechanics, Vol. 938 https://doi.org/10.1017/jfm.2022.190	journal	March 2022
Experimental pub crawl from Rayleigh–Bénard to magnetostrophic convection Grannan, Alexander M.; Cheng, Jonathan S.; Aggarwal, Ashna Journal of Fluid Mechanics, Vol. 939 https://doi.org/10.1017/jfm.2022.204	journal	March 2022
Discontinuous transitions towards vortex condensates in buoyancy-driven rotating turbulence de Wit, Xander M.; Aguirre Guzmán, Andrés J.; Clercx, Herman J. H. Journal of Fluid Mechanics, Vol. 936 https://doi.org/10.1017/jfm.2022.90	journal	February 2022
Strong zonal winds from thermal convection in a rotating spherical shell Aurnou, Jonathan M.; Olson, Peter L. Geophysical Research Letters, Vol. 28, Issue 13 https://doi.org/10.1029/2000GL012474	journal	July 2001
An efficient spectral method for the simulation of dynamos in Cartesian geometry and its implementation on massively parallel computers Stellmach, Stephan; Hansen, Ulrich Geochemistry, Geophysics, Geosystems, Vol. 9, Issue 5 https://doi.org/10.1029/2007GC001778	journal	May 2008
Scaling Laws in Rayleigh‐Bénard Convection Plumley, Meredith; Julien, Keith Earth and Space Science, Vol. 6, Issue 9 https://doi.org/10.1029/2019EA000583	journal	September 2019
Diffusion‐Free Scaling in Rotating Spherical Rayleigh‐Bénard Convection Wang, Guiquan; Santelli, Luca; Lohse, Detlef Geophysical Research Letters, Vol. 48, Issue 20 https://doi.org/10.1029/2021GL095017	journal	October 2021
Turbulent convection at very high Rayleigh numbers Niemela, J. J.; Skrbek, L.; Sreenivasan, K. R. Nature, Vol. 404, Issue 6780 https://doi.org/10.1038/35009036	journal	April 2000
Boundary layer control of rotating convection systems King, Eric M.; Stellmach, Stephan; Noir, Jerome Nature, Vol. 457, Issue 7227 https://doi.org/10.1038/nature07647	journal	January 2009
Inverse centrifugal effect induced by collective motion of vortices in rotating thermal convection Ding, Shan-Shan; Chong, Kai Leong; Shi, Jun-Qiang Nature Communications, Vol. 12, Issue 1 https://doi.org/10.1038/s41467-021-25838-3	journal	September 2021
Mean flow precession and temperature probability density functions in turbulent rotating convection Hart, J. E.; Kittelman, S.; Ohlsen, D. R. Physics of Fluids, Vol. 14, Issue 3 https://doi.org/10.1063/1.1446457	journal	March 2002
Convective flows in rapidly rotating spheres and their dynamo action Busse, F. H. Physics of Fluids, Vol. 14, Issue 4 https://doi.org/10.1063/1.1455626	journal	April 2002
Chaotic domains: A numerical investigation Cross, M. C.; Meiron, D.; Tu, Yuhai Chaos: An Interdisciplinary Journal of Nonlinear Science, Vol. 4, Issue 4 https://doi.org/10.1063/1.166038	journal	December 1994
Turbulent Thermal Convection at Arbitrary Prandtl Number Kraichnan, Robert H. Physics of Fluids, Vol. 5, Issue 11 https://doi.org/10.1063/1.1706533	journal	January 1962
The amplitude equation for rotating Rayleigh–Bénard convection Scheel, J. D. Physics of Fluids, Vol. 19, Issue 10 https://doi.org/10.1063/1.2785702	journal	October 2007
Boundary layers in rotating weakly turbulent Rayleigh–Bénard convection Stevens, Richard J. A. M.; Clercx, Herman J. H.; Lohse, Detlef Physics of Fluids, Vol. 22, Issue 8 https://doi.org/10.1063/1.3467900	journal	August 2010
Rotating non-Oberbeck–Boussinesq Rayleigh–Bénard convection in water Horn, Susanne; Shishkina, Olga Physics of Fluids, Vol. 26, Issue 5 https://doi.org/10.1063/1.4878669	journal	May 2014
Statistical classification of flow morphology in rapidly rotating Rayleigh-Bénard convection Nieves, David; Rubio, Antonio M.; Julien, Keith Physics of Fluids, Vol. 26, Issue 8 https://doi.org/10.1063/1.4892007	journal	August 2014
Inverse cascade and symmetry breaking in rapidly rotating Boussinesq convection Favier, B.; Silvers, L. J.; Proctor, M. R. E. Physics of Fluids, Vol. 26, Issue 9 https://doi.org/10.1063/1.4895131	journal	September 2014
Exploring the geostrophic regime of rapidly rotating convection with experiments Rajaei, Hadi; Kunnen, Rudie P. J.; Clercx, Herman J. H. Physics of Fluids, Vol. 29, Issue 4 https://doi.org/10.1063/1.4980072	journal	April 2017
Thermal inertial waves in a rotating fluid layer: Exact and asymptotic solutions Zhang, Keke; Roberts, Paul H. Physics of Fluids, Vol. 9, Issue 7 https://doi.org/10.1063/1.869317	journal	July 1997
On the thermal offset in turbulent rotating convection Hart, J. E.; Ohlsen, D. R. Physics of Fluids, Vol. 11, Issue 8 https://doi.org/10.1063/1.870072	journal	August 1999
Turbulent convection in liquid metal with and without rotation King, E. M.; Aurnou, J. M. Proceedings of the National Academy of Sciences, Vol. 110, Issue 17 https://doi.org/10.1073/pnas.1217553110	journal	April 2013
Experimental observation of the geostrophic turbulence regime of rapidly rotating convection Bouillaut, Vincent; Miquel, Benjamin; Julien, Keith Proceedings of the National Academy of Sciences, Vol. 118, Issue 44 https://doi.org/10.1073/pnas.2105015118	journal	October 2021
Asymptotic treatment of the stability of a rotating layer of fluid with rigid boundaries Heard, William B.; Veronis, George Geophysical Fluid Dynamics, Vol. 2, Issue 1 https://doi.org/10.1080/03091927108236065	journal	January 1971
Transitions in turbulent rotating Rayleigh-Bénard convection Schmitz, S.; Tilgner, A. Geophysical & Astrophysical Fluid Dynamics, Vol. 104, Issue 5-6 https://doi.org/10.1080/03091929.2010.504720	journal	October 2010
Statistical and physical balances in low Rossby number Rayleigh–Bénard convection Julien, K.; Rubio, A. M.; Grooms, I. Geophysical & Astrophysical Fluid Dynamics, Vol. 106, Issue 4-5 https://doi.org/10.1080/03091929.2012.696109	journal	August 2012
A heuristic framework for next-generation models of geostrophic convective turbulence Cheng, Jonathan S.; Aurnou, Jonathan M.; Julien, Keith Geophysical & Astrophysical Fluid Dynamics, Vol. 112, Issue 4 https://doi.org/10.1080/03091929.2018.1506024	journal	July 2018
Strongly nonlinear convection cells in a rapidly rotating fluid layer Bassom, Andrew P.; Zhang, Keke Geophysical & Astrophysical Fluid Dynamics, Vol. 76, Issue 1-4 https://doi.org/10.1080/03091929408203666	journal	November 1994
The geostrophic regime of rapidly rotating turbulent convection Kunnen, Rudie P. J. Journal of Turbulence, Vol. 22, Issue 4-5 https://doi.org/10.1080/14685248.2021.1876877	journal	January 2021
Tornado-like vortices in the quasi-cyclostrophic regime of Coriolis-centrifugal convection Horn, Susanne; Aurnou, Jonathan M. Journal of Turbulence, Vol. 22, Issue 4-5 https://doi.org/10.1080/14685248.2021.1898624	journal	March 2021
On the Boussinesq Approximation for a Compressible Fluid. Spiegel, E. A.; Veronis, G. The Astrophysical Journal, Vol. 131 https://doi.org/10.1086/146849	journal	March 1960
The Magnitude of the Dissipation Terms in the Boussinesq Approximation. Veronis, George The Astrophysical Journal, Vol. 135 https://doi.org/10.1086/147307	journal	March 1962
Bounds on heat transport in rapidly rotating Rayleigh–Bénard convection Grooms, Ian; Whitehead, Jared P. Nonlinearity, Vol. 28, Issue 1 https://doi.org/10.1088/0951-7715/28/1/29	journal	November 2014
Transitions in heat transport by turbulent convection at Rayleigh numbers up to 10 ¹⁵ Ahlers, Guenter; Funfschilling, Denis; Bodenschatz, Eberhard New Journal of Physics, Vol. 11, Issue 12 https://doi.org/10.1088/1367-2630/11/12/123001	journal	December 2009
Optimal Prandtl number for heat transfer in rotating Rayleigh–Bénard convection Stevens, Richard J. A. M.; Clercx, Herman J. H.; Lohse, Detlef New Journal of Physics, Vol. 12, Issue 7 https://doi.org/10.1088/1367-2630/12/7/075005	journal	July 2010
Boundary layer structure in turbulent thermal convection and its consequences for the required numerical resolution Shishkina, Olga; Stevens, Richard J. A. M.; Grossmann, Siegfried New Journal of Physics, Vol. 12, Issue 7 https://doi.org/10.1088/1367-2630/12/7/075022	journal	July 2010
Laboratory-numerical models of rapidly rotating convection in planetary cores Cheng, J. S.; Stellmach, S.; Ribeiro, A. Geophysical Journal International, Vol. 201, Issue 1 https://doi.org/10.1093/gji/ggu480	journal	February 2015
On the Motion of Solids in a Liquid Possessing Vorticity Proudman, J. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 92, Issue 642 https://doi.org/10.1098/rspa.1916.0026	journal	July 1916
The instability of a layer of fluid heated below and subject to Coriolis forces Chandresekhar, Subrahmanyan Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, Vol. 217, Issue 1130, p. 306-327 https://doi.org/10.1098/rspa.1953.0065	journal	May 1953
The heat transport and spectrum of thermal turbulence Malkus, W. V. R. Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, Vol. 225, Issue 1161, p. 196-212 https://doi.org/10.1098/rspa.1954.0197	journal	August 1954
Rotating Rayleigh-Bénard convection: Aspect-ratio dependence of the initial bifurcations Ning, Li; Ecke, Robert E. Physical Review E, Vol. 47, Issue 5 https://doi.org/10.1103/PhysRevE.47.3326	journal	May 1993
Traveling-wave wall states in rotating Rayleigh-Bénard convection Kuo, E. Y.; Cross, M. C. Physical Review E, Vol. 47, Issue 4 https://doi.org/10.1103/PhysRevE.47.R2245	journal	April 1993
Convection under rotation for Prandtl numbers near 1: Küppers-Lortz instability Hu, Yuchou; Pesch, Werner; Ahlers, Guenter Physical Review E, Vol. 58, Issue 5 https://doi.org/10.1103/PhysRevE.58.5821	journal	November 1998
Traveling waves in rotating Rayleigh-Bénard convection: Analysis of modes and mean flow Scheel, J. D.; Paul, M. R.; Cross, M. C. Physical Review E, Vol. 68, Issue 6 https://doi.org/10.1103/PhysRevE.68.066216	journal	December 2003
Azimuthal motion of the mean wind in turbulent thermal convection Xi, Heng-Dong; Zhou, Quan; Xia, Ke-Qing Physical Review E, Vol. 73, Issue 5 https://doi.org/10.1103/PhysRevE.73.056312	journal	May 2006
Effect of the centrifugal force on domain chaos in Rayleigh-Bénard convection Becker, Nathan; Scheel, J. D.; Cross, M. C. Physical Review E, Vol. 73, Issue 6 https://doi.org/10.1103/PhysRevE.73.066309	journal	June 2006
Heat transport in rotating convection without Ekman layers Schmitz, S.; Tilgner, A. Physical Review E, Vol. 80, Issue 1 https://doi.org/10.1103/PhysRevE.80.015305	journal	July 2009
Heat transport measurements in turbulent rotating Rayleigh-Bénard convection Liu, Yuanming; Ecke, Robert E. Physical Review E, Vol. 80, Issue 3 https://doi.org/10.1103/PhysRevE.80.036314	journal	September 2009
Vortex statistics in turbulent rotating convection Kunnen, R. P. J.; Clercx, H. J. H.; Geurts, B. J. Physical Review E, Vol. 82, Issue 3 https://doi.org/10.1103/PhysRevE.82.036306	journal	September 2010
Local temperature measurements in turbulent rotating Rayleigh-Bénard convection Liu, Yuanming; Ecke, Robert E. Physical Review E, Vol. 84, Issue 1 https://doi.org/10.1103/PhysRevE.84.016311	journal	July 2011
Effect of aspect ratio on vortex distribution and heat transfer in rotating Rayleigh-Bénard convection Stevens, Richard J. A. M.; Overkamp, Jim; Lohse, Detlef Physical Review E, Vol. 84, Issue 5 https://doi.org/10.1103/PhysRevE.84.056313	journal	November 2011
Thermal evidence for Taylor columns in turbulent rotating Rayleigh-Bénard convection King, Eric M.; Aurnou, Jonathan M. Physical Review E, Vol. 85, Issue 1 https://doi.org/10.1103/PhysRevE.85.016313	journal	January 2012
Breakdown of the large-scale circulation inΓ=1/2rotating Rayleigh-Bénard flow Stevens, Richard J. A. M.; Clercx, Herman J. H.; Lohse, Detlef Physical Review E, Vol. 86, Issue 5 https://doi.org/10.1103/PhysRevE.86.056311	journal	November 2012
Influence of the angle between the wind and the isothermal surfaces on the boundary layer structures in turbulent thermal convection Shishkina, Olga; Wagner, Sebastian; Horn, Susanne Physical Review E, Vol. 89, Issue 3 https://doi.org/10.1103/PhysRevE.89.033014	journal	March 2014
Heat-transport enhancement in rotating turbulent Rayleigh-Bénard convection Weiss, Stephan; Wei, Ping; Ahlers, Guenter Physical Review E, Vol. 93, Issue 4 https://doi.org/10.1103/PhysRevE.93.043102	journal	April 2016
Transitions in turbulent rotating convection: A Lagrangian perspective Rajaei, Hadi; Joshi, Pranav; Alards, Kim M. J. Physical Review E, Vol. 93, Issue 4 https://doi.org/10.1103/PhysRevE.93.043129	journal	April 2016
Sensitivity of rapidly rotating Rayleigh-Bénard convection to Ekman pumping Plumley, Meredith; Julien, Keith; Marti, Philippe Physical Review Fluids, Vol. 2, Issue 9 https://doi.org/10.1103/PhysRevFluids.2.094801	journal	September 2017
Jets and large-scale vortices in rotating Rayleigh-Bénard convection Guervilly, Céline; Hughes, David W. Physical Review Fluids, Vol. 2, Issue 11 https://doi.org/10.1103/PhysRevFluids.2.113503	journal	November 2017
Temperature fluctuations relevant to thermal-plume dynamics in turbulent rotating Rayleigh-Bénard convection Ding, Shan-Shan; Li, Hui-Min; Yan, Wen-Dan Physical Review Fluids, Vol. 4, Issue 2 https://doi.org/10.1103/PhysRevFluids.4.023501	journal	February 2019
Rotating convection with centrifugal buoyancy: Numerical predictions for laboratory experiments Horn, Susanne; Aurnou, Jonathan M. Physical Review Fluids, Vol. 4, Issue 7 https://doi.org/10.1103/PhysRevFluids.4.073501	journal	July 2019
Fine vortex structure and flow transition to the geostrophic regime in rotating Rayleigh-Bénard convection Shi, Jun-Qiang; Lu, Hao-Yuan; Ding, Shan-Shan Physical Review Fluids, Vol. 5, Issue 1 https://doi.org/10.1103/PhysRevFluids.5.011501	journal	January 2020
Turbulent rotating convection confined in a slender cylinder: The sidewall circulation de Wit, Xander M.; Guzmán, Andrés J. Aguirre; Madonia, Matteo Physical Review Fluids, Vol. 5, Issue 2 https://doi.org/10.1103/PhysRevFluids.5.023502	journal	February 2020
What rotation rate maximizes heat transport in rotating Rayleigh-Bénard convection with Prandtl number larger than one? Yang, Yantao; Verzicco, Roberto; Lohse, Detlef Physical Review Fluids, Vol. 5, Issue 5 https://doi.org/10.1103/PhysRevFluids.5.053501	journal	May 2020
Laboratory exploration of heat transfer regimes in rapidly rotating turbulent convection Cheng, Jonathan S.; Madonia, Matteo; Aguirre Guzmán, Andrés J. Physical Review Fluids, Vol. 5, Issue 11 https://doi.org/10.1103/PhysRevFluids.5.113501	journal	November 2020
Rayleigh-Bénard convection: The container shape matters Shishkina, Olga Physical Review Fluids, Vol. 6, Issue 9 https://doi.org/10.1103/PhysRevFluids.6.090502	journal	September 2021
Heat-transport scaling and transition in geostrophic rotating convection with varying aspect ratio Lu, Hao-Yuan; Ding, Guang-Yu; Shi, Jun-Qiang Physical Review Fluids, Vol. 6, Issue 7 https://doi.org/10.1103/PhysRevFluids.6.L071501	journal	July 2021
Flow- and temperature-based statistics characterizing the regimes in rapidly rotating turbulent convection in simulations employing no-slip boundary conditions Aguirre Guzmán, Andrés J.; Madonia, Matteo; Cheng, Jonathan S. Physical Review Fluids, Vol. 7, Issue 1 https://doi.org/10.1103/PhysRevFluids.7.013501	journal	January 2022
Connecting wall modes and boundary zonal flows in rotating Rayleigh-Bénard convection Ecke, Robert E.; Zhang, Xuan; Shishkina, Olga Physical Review Fluids, Vol. 7, Issue 1 https://doi.org/10.1103/PhysRevFluids.7.L011501	journal	January 2022
Prandtl-, Rayleigh-, and Rossby-Number Dependence of Heat Transport in Turbulent Rotating Rayleigh-Bénard Convection Zhong, Jin-Qiang; Stevens, Richard J. A. M.; Clercx, Herman J. H. Physical Review Letters, Vol. 102, Issue 4 https://doi.org/10.1103/PhysRevLett.102.044502	journal	January 2009
Transitions between Turbulent States in Rotating Rayleigh-Bénard Convection Stevens, Richard J. A. M.; Zhong, Jin-Qiang; Clercx, Herman J. H. Physical Review Letters, Vol. 103, Issue 2 https://doi.org/10.1103/PhysRevLett.103.024503	journal	July 2009
Model of Convective Taylor Columns in Rotating Rayleigh-Bénard Convection Grooms, Ian; Julien, Keith; Weiss, Jeffrey B. Physical Review Letters, Vol. 104, Issue 22 https://doi.org/10.1103/PhysRevLett.104.224501	journal	June 2010
Finite-Size Effects Lead to Supercritical Bifurcations in Turbulent Rotating Rayleigh-Bénard Convection Weiss, Stephan; Stevens, Richard J. A. M.; Zhong, Jin-Qiang Physical Review Letters, Vol. 105, Issue 22 https://doi.org/10.1103/PhysRevLett.105.224501	journal	November 2010
Heat Transport in Low-Rossby-Number Rayleigh-Bénard Convection Julien, Keith; Knobloch, Edgar; Rubio, Antonio M. Physical Review Letters, Vol. 109, Issue 25 https://doi.org/10.1103/PhysRevLett.109.254503	journal	December 2012
Upscale Energy Transfer in Three-Dimensional Rapidly Rotating Turbulent Convection Rubio, Antonio M.; Julien, Keith; Knobloch, Edgar Physical Review Letters, Vol. 112, Issue 14 https://doi.org/10.1103/PhysRevLett.112.144501	journal	April 2014
Heat Transport in the Geostrophic Regime of Rotating Rayleigh-Bénard Convection Ecke, Robert E.; Niemela, Joseph J. Physical Review Letters, Vol. 113, Issue 11 https://doi.org/10.1103/PhysRevLett.113.114301	journal	September 2014
Approaching the Asymptotic Regime of Rapidly Rotating Convection: Boundary Layers versus Interior Dynamics Stellmach, S.; Lischper, M.; Julien, K. Physical Review Letters, Vol. 113, Issue 25 https://doi.org/10.1103/PhysRevLett.113.254501	journal	December 2014
Thermal Boundary Layer Equation for Turbulent Rayleigh–Bénard Convection Shishkina, Olga; Horn, Susanne; Wagner, Sebastian Physical Review Letters, Vol. 114, Issue 11 https://doi.org/10.1103/PhysRevLett.114.114302	journal	March 2015
Multiple Transitions in Rotating Turbulent Rayleigh-Bénard Convection Wei, Ping; Weiss, Stephan; Ahlers, Guenter Physical Review Letters, Vol. 114, Issue 11 https://doi.org/10.1103/PhysRevLett.114.114506	journal	March 2015
Confined Rayleigh-Bénard, Rotating Rayleigh-Bénard, and Double Diffusive Convection: A Unifying View on Turbulent Transport Enhancement through Coherent Structure Manipulation Chong, Kai Leong; Yang, Yantao; Huang, Shi-Di Physical Review Letters, Vol. 119, Issue 6 https://doi.org/10.1103/PhysRevLett.119.064501	journal	August 2017
Subcritical Thermal Convection of Liquid Metals in a Rapidly Rotating Sphere Kaplan, E. J.; Schaeffer, N.; Vidal, J. Physical Review Letters, Vol. 119, Issue 9 https://doi.org/10.1103/PhysRevLett.119.094501	journal	August 2017
Regimes of Coriolis-Centrifugal Convection Horn, Susanne; Aurnou, Jonathan M. Physical Review Letters, Vol. 120, Issue 20 https://doi.org/10.1103/PhysRevLett.120.204502	journal	May 2018
Boundary Zonal Flow in Rotating Turbulent Rayleigh-Bénard Convection Zhang, Xuan; van Gils, Dennis P. M.; Horn, Susanne Physical Review Letters, Vol. 124, Issue 8 https://doi.org/10.1103/PhysRevLett.124.084505	journal	February 2020
Competition between Ekman Plumes and Vortex Condensates in Rapidly Rotating Thermal Convection Aguirre Guzmán, Andrés J.; Madonia, Matteo; Cheng, Jonathan S. Physical Review Letters, Vol. 125, Issue 21 https://doi.org/10.1103/PhysRevLett.125.214501	journal	November 2020
Centrifugal-Force-Induced Flow Bifurcations in Turbulent Thermal Convection Hu, Yun-Bing; Huang, Shi-Di; Xie, Yi-Chao Physical Review Letters, Vol. 127, Issue 24 https://doi.org/10.1103/PhysRevLett.127.244501	journal	December 2021
Aspect Ratio Dependence of Heat Transfer in a Cylindrical Rayleigh-Bénard Cell Ahlers, Guenter; Bodenschatz, Eberhard; Hartmann, Robert Physical Review Letters, Vol. 128, Issue 8 https://doi.org/10.1103/PhysRevLett.128.084501	journal	February 2022
Asymmetric modes and the transition to vortex structures in rotating Rayleigh-Bénard convection Zhong, Fang; Ecke, Robert; Steinberg, Victor Physical Review Letters, Vol. 67, Issue 18 https://doi.org/10.1103/PhysRevLett.67.2473	journal	October 1991
Time and Length Scales in Rotating Rayleigh-Bénard Convection Hu, Yuchou; Ecke, Robert E.; Ahlers, Guenter Physical Review Letters, Vol. 74, Issue 25 https://doi.org/10.1103/PhysRevLett.74.5040	journal	June 1995
Heat Transport Scaling in Turbulent Rayleigh-Bénard Convection: Effects of Rotation and Prandtl Number Liu, Yuanming; Ecke, Robert E. Physical Review Letters, Vol. 79, Issue 12 https://doi.org/10.1103/PhysRevLett.79.2257	journal	September 1997
Two Scaling Regimes for Rotating Rayleigh-Bénard Convection Canuto, V. M.; Dubovikov, M. S. Physical Review Letters, Vol. 80, Issue 2 https://doi.org/10.1103/PhysRevLett.80.281	journal	January 1998
Thermal Convection for Large Prandtl Numbers Grossmann, Siegfried; Lohse, Detlef Physical Review Letters, Vol. 86, Issue 15 https://doi.org/10.1103/PhysRevLett.86.3316	journal	April 2001
Plume Motion and Large-Scale Circulation in a Cylindrical Rayleigh-Bénard Cell Funfschilling, Denis; Ahlers, Guenter Physical Review Letters, Vol. 92, Issue 19 https://doi.org/10.1103/PhysRevLett.92.194502	journal	May 2004
Connections between nonrotating, slowly rotating, and rapidly rotating turbulent convection transport scalings Aurnou, Jonathan M.; Horn, Susanne; Julien, Keith Physical Review Research, Vol. 2, Issue 4 https://doi.org/10.1103/PhysRevResearch.2.043115	journal	October 2020
The world of the complex Ginzburg-Landau equation Aranson, Igor S.; Kramer, Lorenz Reviews of Modern Physics, Vol. 74, Issue 1 https://doi.org/10.1103/RevModPhys.74.99	journal	February 2002
Heat transfer and large scale dynamics in turbulent Rayleigh-Bénard convection Ahlers, Guenter; Grossmann, Siegfried; Lohse, Detlef Reviews of Modern Physics, Vol. 81, Issue 2 https://doi.org/10.1103/RevModPhys.81.503	journal	April 2009
The Effect of Wall Conduction on the Stability of a Fluid in a Right Circular Cylinder Heated From Below Buell, J. C.; Catton, I. Journal of Heat Transfer, Vol. 105, Issue 2 https://doi.org/10.1115/1.3245571	journal	May 1983
Vortices as Brownian particles in turbulent flows Chong, Kai Leong; Shi, Jun-Qiang; Ding, Guang-Yu Science Advances, Vol. 6, Issue 34 https://doi.org/10.1126/sciadv.aaz1110	journal	August 2020
Two-Dimensional Turbulence Boffetta, Guido; Ecke, Robert E. Annual Review of Fluid Mechanics, Vol. 44, Issue 1 https://doi.org/10.1146/annurev-fluid-120710-101240	journal	January 2012
Convection in Stars I. Basic Boussinesq Convection Spiegel, E. A. Annual Review of Astronomy and Astrophysics, Vol. 9, Issue 1 https://doi.org/10.1146/annurev.aa.09.090171.001543	journal	September 1971
Gradient Balance in Tropical Cyclones Willoughby, H. E. Journal of the Atmospheric Sciences, Vol. 47, Issue 2 https://doi.org/10.1175/1520-0469(1990)047<0265:GBITC>2.0.CO;2	journal	January 1990
Hopf Bifurcation with Broken Reflection Symmetry in Rotating Rayleigh-Bénard Convection Ecke, R. E.; Zhong, Fang; Knobloch, E. Europhysics Letters (EPL), Vol. 19, Issue 3 https://doi.org/10.1209/0295-5075/19/3/005	journal	June 1992
Breakdown of large-scale circulation in turbulent rotating convection Kunnen, R. P. J.; Clercx, H. J. H.; Geurts, B. J. EPL (Europhysics Letters), Vol. 84, Issue 2 https://doi.org/10.1209/0295-5075/84/24001	journal	September 2008
A Theoretical and Experimental Study of Cellular Convection in Rotating Fluids Nakagawa, Yoshinari; Frenzen, Paul Tellus, Vol. 7, Issue 1 https://doi.org/10.3402/tellusa.v7i1.8773	journal	January 1955

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