The authors appreciate the support of Romain Coharde and Anne Noeppel, who set up and performed parts of the numerical simulations during their training months at DLR. The EULAG computations were performed at the High Performance Computing Centers of the German Weather Service (DWD) in Offenbach and at the European Centre for Medium-Range Weather Forecasts (ECMWF).
Andrejczuk, M., W. W. Grabowski, S. P. Malinowski, and P. K. Smolarkiewicz, 2004: Numerical simulation of cloud–clear air interfacial mixing. J. Atmos. Sci., 61 , 1726–1739.
Andrejczuk, M., W. W. Grabowski, S. P. Malinowski, and P. K. Smolarkiewicz, 2006: Numerical simulation of cloud–clear air interfacial mixing: Effects on cloud microphysics. J. Atmos. Sci., 63 , 3204–3225.
Bechtold, P., and Coauthors, 2000: A GCSS model intercomparison for a tropical squall line observed during TOGA COARE. II: Intercomparison of single-column models and a cloud-resolving model. Quart. J. Roy. Meteor. Soc., 126 , 865–888.
Bretherton, C. S., 1997: Entrainment, detrainment, and mixing in atmospheric convection. The Physics and Parameterization of Moist Atmospheric Convection, R. K. Smith, Ed., Kluwer, 211–230.
Bryan, G. H., J. C. Wyngaard, and J. M. Fritsch, 2003: Resolution requirements for the simulation of deep moist convection. Mon. Wea. Rev., 131 , 2394–2416.
Carpenter Jr., R. L., K. K. Droegemeier, and A. M. Blyth, 1998: Entrainment and detrainment in numerically simulated cumulus congestus clouds. Part I: General results. J. Atmos. Sci., 55 , 3417–3422.
Damiani, R., G. Vali, and S. Haimov, 2006: The structure of thermals in cumulus from airborne dual-Doppler radar observations. J. Atmos. Sci., 63 , 1432–1450.
Domaradzki, J. A., Z. Xiao, and P. K. Smolarkiewicz, 2003: Effective eddy viscosities in implicit large-eddy simulations of turbulent flows. Phys. Fluids, 15 , 3890–3893.
Dörnbrack, A., J. D. Doyle, T. P. Lane, R. D. Sharman, and P. K. Smolarkiewicz, 2005: On physical realizability and uncertainty of numerical solutions. Atmos. Sci. Lett., 6 , 118–122.
Grabowski, W. W., and P. K. Smolarkiewicz, 1990: Monotone finite-difference approximations to the advection condensation problem. Mon. Wea. Rev., 118 , 2082–2097.
Grabowski, W. W., and P. K. Smolarkiewicz, 2002: A multiscale anelastic model for meteorological research. Mon. Wea. Rev., 130 , 939–956.
Grabowski, W. W., and Coauthors, 2006: Daytime convective development over land: A model intercomparison based on LBA observations. Quart. J. Roy. Meteor. Soc., 132 , 317–344.
Guichard, F., and Coauthors, 2004: Modelling the diurnal cycle of deep precipitating convection over land with cloud-resolving models and single-column models. Quart. J. Roy. Meteor. Soc., 130 , 3139–3172.
Khairoutdinov, M., and D. Randall, 2006: High-resolution simulation of shallow-to-deep convection transition over land. J. Atmos. Sci., 63 , 3421–3436.
Morton, B. R., G. I. Taylor, and J. S. Turner, 1956: Turbulent gravitational convection from maintained and instantaneous sources. Proc. Roy. Soc. London, 234A , 1–23.
Smolarkiewicz, P. K., and L. G. Margolin, 1997: On forward-in-time differencing for fluids: An Eulerian/semi-Lagrangian non-hydrostatic model for stratified flows. Atmos.–Ocean, 35 , 127–152.
Smolarkiewicz, P. K., and L. G. Margolin, 1998: MPDATA: A finite-difference solver for geophysical flows. J. Comput. Phys., 140 , 459–480.
Smolarkiewicz, P. K., and J. M. Prusa, 2005: Towards mesh adaptivity for geophysical turbulence: Continuous mapping approach. Int. J. Numer. Methods Fluids, 47 , 789–801.
Smolarkiewicz, P. K., L. G. Margolin, and A. A. Wyszogrodzki, 2001: A class of nonhydrostatic global models. J. Atmos. Sci., 58 , 349–364.
Stiller, O., and G. C. Craig, 2001: A scaling hypothesis for moist convective updraughts. Quart. J. Roy. Meteor. Soc., 127 , 1551–1570.