Ahlers, G., Grossmann, S. & Lohse, D.
2009
Heat transfer and large scale dynamics in turbulent Rayleigh–Bénard convection. Rev. Mod. Phys.
81 (2), 503–537.
Ambaum, M. H. P.
2010
Thermal Physics of the Atmosphere. Wiley.
Berlengiero, M., Emanuel, K. A., Von Hardenberg, J., Provenzale, A. & Spiegel, E. A.
2012
Internally cooled convection: a fillip for Philip. Comm. Nonlin. Sci. Num. Sim.
17 (5), 1998–2007.
Bretherton, C. S.
1987
A theory for nonprecipitating moist convection between two parallel plates. Part I. Thermodynamics and ‘linear’ solutions. J. Atmos. Sci.
44 (14), 1809–1827.
Bretherton, C. S.
1988
A theory for nonprecipitating convection between two parallel plates. Part II. Nonlinear theory and cloud field organization. J. Atmos. Sci.
45 (17), 2391–2415.
Brun, A. S. & Browning, M. K.
2017
Magnetism, dynamo action and the solar–stellar connection. Living Rev. Solar Phys.
14, 4.
Bryan, G. H., Wyngaard, J. C. & Fritsch, J. M.
2003
Resolution requirements for the simulation of deep moist convection. Mon. Wea. Rev.
131 (10), 2394–2416.
Burns, K. J., Vasil, G. M., Oishi, J. S., Lecoanet, D. & Brown, B.2016 Dedalus: flexible framework for spectrally solving differential equations. Astrophysics Source Code Library: http://ascl.net/1603.015.
Chandrasekhar, S.
1961
Hydrodynamic and Hydromagnetic Stability. Oxford University Press; reprinted by Dover Publications, 1981.
Chillà, F. & Schumacher, J.
2012
New perspectives in turbulent Rayleigh–Bénard convection. Eur. Phys. J. E
35 (7), 58.
Christensen, U.
1995
Effects of phase transitions on mantle convection. Annu. Rev. Earth Planet. Sci.
23 (1), 65–87.
Cross, M. C. & Hohenberg, P. C.
1993
Pattern formation outside of equilibrium. Rev. Mod. Phys.
65 (3), 851.
Drazin, P. G. & Reid, W. H.
1981
Hydrodynamic Stability. Cambridge University Press.
Emanuel, K. A.
1994
Atmospheric Convection. Oxford University Press.
Emanuel, K. A., Neelin, J. D. & Bretherton, C. S.
1994
On large-scale circulations in convecting atmospheres. Q. J. R. Meteor. Soc.
120, 1111–1143.
Frierson, D. M. W., Held, I. M. & Zurita-Gotor, P.
2006
A gray radiation aquaplanet moist GCM. Part 1. Static stability and eddy scales. J. Atmos. Sci.
63, 2548–2566.
Golubitsky, M., Swift, J. W. & Knobloch, E.
1984
Symmetries and pattern selection in Rayleigh–Bénard convection. Physica D
10 (3), 249–276.
Grossmann, S. & Lohse, D.
2000
Scaling in thermal convection: a unifying theory. J. Fluid Mech.
407, 27–56.
Hernandez-Duenas, G., Majda, A. J., Smith, L. M. & Stechmann, S. N.
2013
Minimal models for precipitating turbulent convection. J. Fluid Mech.
717, 576–611.
Khain, A. P., Beheng, K. D., Heymsfield, A., Korolev, A., Krichak, S. O., Levin, Z., Pinsky, M., Phillips, V., Prabhakaran, T., Teller, A.
et al.
2015
Representation of microphysical processes in cloud-resolving models: spectral (bin) microphysics versus bulk parameterization. Rev. Geophys.
53 (2), 247–322.
Kraichnan, R. H.
1962
Turbulent thermal convection at arbitrary Prandtl number. Phys. Fluids
5 (11), 1374–1389.
Lakkaraju, R., Stevens, R., Oresta, P., Verzicco, R., Lohse, D. & Prosperetti, A.
2013
Heat transport in bubbling turbulent convection. Proc. Natl Acad. Sci. USA
110 (23), 9237–9242.
Lohse, D. & Toschi, F.
2003
Ultimate state of thermal convection. Phys. Rev. Lett.
90 (3), 034502.
Ludlam, F. H.
1966
Cumulus and cumulonimbus convection. Tellus
18, 687–698.
Ludlam, F. H.
1980
Clouds and Storms: The Behavior and Effect of Water in the Atmosphere. Penn. State University Press.
Mahrt, L.
1986
On the shallow motion approximations. J. Atmos. Sci.
43, 1036–1044.
Marshall, J. C. & Schott, F.
1999
Open-ocean convection: observations, theory, and models. Rev. Geophys.
37, 1–64.
Mellor, G. L. & Yamada, T.
1974
A hierarchy of turbulence closure models for planetary boundary layers. J. Atmos. Sci.
31 (7), 1791–1806.
Mitchell, J. L. & Lora, J. M.
2016
The climate of Titan. Annu. Rev. Earth Planet. Sci.
44, 353–380.
Monin, A. S. & Obukhov, A. M.
1954
Basic laws of turbulent mixing in the surface layer of the atmosphere. Tr. Akad. Nauk SSSR Geophiz. Inst.
24, 163–187.
Morton, B. R., Taylor, G. & Turner, J. S.
1956
Turbulent gravitational convection from maintained and instantaneous sources. Proc. R. Soc. Lond. A
234, 1–23.
O’Gorman, P. A., Allan, R. P., Byrne, M. P. & Previdi, M.
2012
Energetic constraints on precipitation under climate change. Surv. Geophys.
33 (3–4), 585–608.
O’Gorman, P. A. & Schneider, T.
2006
Stochastic models for the kinematics of moisture transport and condensation in homogeneous turbulent flows. J. Atmos. Sci.
63, 2992–3005.
Paparella, F. & Young, W. R.
2002
Horizontal convection is non-turbulent. J. Fluid Mech.
466, 205–214.
Parodi, A., Emanuel, K. A. & Provenzale, A.
2003
Plume patterns in radiative–convective flows. New J. Phys.
5 (1), 106.
Parsons, B. & McKenzie, D.
1978
Mantle convection and the thermal structure of the plates. J. Geo. Res.: Sol. Earth
83 (B9), 4485–4496.
Pauluis, O. & Schumacher, J.
2010
Idealized moist Rayleigh–Bénard convection with piecewise linear equation of state. Commun. Math. Sci.
8 (1), 295–319.
Pauluis, O. & Schumacher, J.
2011
Self-aggregation of clouds in conditionally unstable moist convection. Proc. Natl Acad. Sci. USA
108 (31), 12623–12628.
Pierrehumbert, R. T., Brogniez, H. & Roca, R.
2007
On the relative humidity of the atmosphere. In The Global Circulation of the Atmosphere: Phenomena, Theory, Challenges (ed. Schneider, T. & Sobel, A.), pp. 143–185. Princeton University Press.
Rayleigh, Lord
1916
On convection currents in a horizontal layer of fluid, when the higher temperature is on the under side. Lond. Edinb. Dublin Phil. Mag. J. Sci.
32 (192), 529–546.
Roche, P.-E., Castaing, B., Chabaud, B. & Hébral, B.
2001
Observation of the 1/2 power law in Rayleigh–Bénard convection. Phys. Rev. E
63 (4), 045303.
Romps, D. M.
2014
An analytical model for tropical relative humidity. J. Clim.
27 (19), 7432–7449.
Schmidt, L. E., Oresta, P., Toschi, F., Verzicco, R., Lohse, D. & Prosperetti, A.
2011
Modification of turbulence in Rayleigh–Bénard convection by phase change. New J. Phys.
13 (2), 025002.
Schubert, G. & Soderlund, K. M.
2011
Planetary magnetic fields: observations and models. Phys. Earth Plan. Interiors
187, 92–108.
Schubert, W. H., Hausman, S. A., Garcia, M., Ooyama, K. V. & Kuo, H.-C.
2001
Potential vorticity in a moist atmosphere. J. Atmos. Sci.
58, 3148–3157.
Schumacher, J. & Pauluis, O.
2010
Buoyancy statistics in moist turbulent Rayleigh–Bénard convection. J. Fluid Mech.
648, 509–519.
Scorer, R. S. & Ludlam, F. H.
1953
Bubble theory of penetrative convection. Q. J. R. Meteor. Soc.
79, 94–103.
Smagorinsky, J.
1963
General circulation experiments with the primitive equations. Part I. The basic experiment. Mon. Wea. Rev.
91 (3), 99–164.
Smith, R. K.(Ed.) 2013
The Physics and Parameterization of Moist Atmospheric Convection. Springer.
Spiegel, E. A.
1971
Convection in stars. Part I. Basic Boussinesq convection. Annu. Rev. Astron. Astrophys.
9 (1), 323–352.
Spiegel, E. A. & Veronis, G.
1960
On the Boussinesq approximation for a compressible fluid. Astrophys. J.
131, 442–447. (Correction: Astrophys. J., 135, 655–656.)
Spyksma, K., Bartello, P. & Yau, M. K.
2006
A Boussinesq moist turbulence model. J. Turbul.
7, N32.
Sukhatme, J. & Young, W. R.
2011
The advection–condensation model and water-vapour probability density functions. Q. J. R. Meteor. Soc.
137, 1561–1572.
Tompkins, A. M.
2001
Organization of tropical convection in low vertical wind shears: the role of cold pools. J. Atmos. Sci.
58 (13), 1650–1672.
Tsang, Y.-K. & Vanneste, J.
2017
The effect of coherent stirring on the advection–condensation of water vapour. Proc. R. Soc. Lond. A
473, 20170196.
Vallis, G. K.
2017
Atmospheric and Oceanic Fluid Dynamics, 2nd edn. Cambridge University Press.
Weidauer, T., Pauluis, O. & Schumacher, J.
2011
Rayleigh–Bénard convection with phase changes in a Galerkin model. Phys. Rev. E
84 (4), 046303.
White, B., Gryspeerdt, E., Stier, P., Morrison, H., Thompson, G. & Kipling, Z.
2017
Uncertainty from the choice of microphysics scheme in convection-permitting models significantly exceeds aerosol effects. Atmos. Chem. Phys.
17, 12145–12175.
Whitehead, J. P. & Doering, C. R.
2011
Ultimate state of two-dimensional Rayleigh–Bénard convection between free-slip fixed-temperature boundaries. Phys. Rev. Lett.
106 (24), 244501.
Zhao, M., Golaz, J.-C., Held, I. M., Ramaswamy, V., Lin, S.-J., Ming, Y., Ginoux, P., Wyman, B., Donner, L. J., Paynter, D.
et al.
2016
Uncertainty in model climate sensitivity traced to representations of cumulus precipitation microphysics. J. Clim.
29 (2), 543–560.