Theses Based on Work With the GCM

Refereed BUGS Related Publications

• Haertel, P.T., L. Van Roekel, and T.G. Jensen, 2009: Constructing an idealized model of the North Atlantic Ocean using slippery sacks. Ocean Modelling, 27, 143-159
• Van Roekel, L.P. , T. Ito, P.T. Haertel, and D.A. Randall, 2009: Lagrangian Analysis of the meridional overturning circulation in an indealized ocean basin. J. Phys. Oceanogr., 39, 2175-2193.

• DeMott, C., and D. A. Randall, 2007: Convective precipitation variability as a tool for general circulation model analysis. J. Climate, 20, 91-112.
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• Khairoutdinov, M., C. A. DeMott, and D. A. Randall, 2007: Evaluation of the simulated interannual and subseasonal variability in an AMIP-style simulation using the CSU Multiscale Modeling Framework. Undergoing revision for J. Climate.
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• Konor, C. S., and Arakawa, A., 2007: Multi-Point Explicit Differencing (MED) for Time Integration of The Wave Equation. Mon. Wea. Rev., 135, 3862-3875.
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• Tulich, S. N., D. A. Randall, and B. E. Mapes, 2007: Vertical-mode and cloud decomposition of large-scale convectively coupled gravity waves in a two-dimensional cloud-resolving model. J. Atmos. Sci, 64, 1220-1229.
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• Yamaguchi, T., and D. A. Randall, 2008: Large-eddy simulation of evaporatively driven entrainment in cloud-topped mixed layers. J. Atmos. Sci., 65, 1481-1504
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• Maike Ahlgrimm, David A Randall, 2006: Diagnosing monthly mean boundary layer properties from re-analysis data using a bulk boundary-layer model. J. Atmos. Sci, 63, 998-1012.
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• Khairoutdinov, M., and D. A. Randall, 2006: High-resolution simulations of shallow-to-deep convection transition over land. J. Atmos. Sci., 63, 3421-3436.
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• Randall, D. A., M. E. Schlesinger, V. Galin, V. Meleshko, J.-J. Morcrette, and R. Wetherald, 2006: Cloud Feedbacks. In Frontiers in the Science of Climate Modeling, J. T. Kiehl and V. Ramanathan, Eds., Cambridge University Press. (in press)
• M. C. Wyant, M. Kairoutdinov, C. S. Bretherton, 2006: Climate sensitivity and cloud response of a GCM with a superparameterization, Geophys. Res. Lett., 33, L06714, doi:10.1029/2005GL025464.

• Bretherton, C.S., P. N. Blossey and M. Khairoutdinov. 2005: An Energy-Balance Analysis of Deep Convective Self-Aggregation above Uniform SST. J. Atmos. Sci., 62, pp. 4273-4292.
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• Cole, J. N., H. W. Barker, D. A. Randall, M. F. Khairoutdinov, and E. Clothiaux, 2005: Interactions between Clouds and Radiation at Scales Unresolved by Global Climate Models. Geophys. Res. Lett., 32, L06703, doi:10.1029/2004GL020945.
• Cara-Lyn Lappen, David A Randall, 2005: Using Idealized Coherent Structures to Parameterize Momentum Fluxes in a PBL Mass-Flux Model. J. Atmos. Sci., 62, 2829-2846.
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• Khairoutdinov, M., D. A. Randall, and C. DeMott, 2005: Simulation of the atmospheric general circulation using a cloud-resolving model as a super-parameteriztion of physical processes. J. Atmos. Sci., 62, 2136-2154.
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• C DeMott, David Randall, 2004: Observed Variations of Tropical CAPE.J. Geophys. Res., 109, D02102, doi: 10.1029/2003JD003784.
• Haertel, P. T., D. A. Randall, and T. G. Jensen, 2004: Toward a Lagrangian ocean model: Simulating upwelling in a large lake using slippery sacks. Mon. Wea. Rev., 132, 66-77.
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• Raisanen, P., H. W. Barker, M. F. Khairoutdinov, J. Li, and D. A. Randall, 2004: Stochastic generation of subgrid-scale cloudy columns for large-scale models. Quart. J. Roy. Meteor. Soc., 130, 2047-2068.

• Khairoutdinov, M., and D. A. Randall, 2003: Cloud-resolving modeling of ARM Summer 1997 IOP: Model formulation, results, uncertainties and sensitivities. J. Atmos. Sci., 60, 607-625.
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• Oreopoulos, L., Khairoutdinov, M., 2003: Overlap properties of clouds generated by a cloud-resolving model. J. Geophys. Res., 108, doi: 10.1029/2002JD003329.
• Randall, D. A., M. Khairoutdinov, A. Arakawa, and W. Grabowski, 2003: Breaking the cloud-parameterization deadlock. Bull. Amer. Meteor. Soc., 84, 1547-1564.
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• Fowler, L. D., and D. A. Randall, 2002: Interactions between cloud microphysics and cumulus convection in a general circulation model. J. Atmos. Sci., 59, 3074-3098
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• Haertel, P. T., and D. A. Randall, 2002: Could a pile of slippery sacks behave like an ocean? Mon. Wea. Rev., 130, 2975-2988.
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• Khairoutdinov, M., and D. A. Randall, 2002: Similarity of deep cumulus convection as revealed by a three-dimensional cloud resolving model. J. Atmos. Sci., 59, 2550-2566.
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• Lin, X., L. D. Fowler, and D. A. Randall, 2002: a href="http://kiwi.atmos.colostate.edu/pubs/flying.pdf"> Flying the TRMM satellite in a GCM. J. Geophys. Res., 107, 10.1029/2001JD000619.
• Randall, D. A., T. D. Ringler, R. P. Heikes, P. Jones, and J. Baumgardner, 2002: Climate modeling with spherical geodesic grids. Computing in Science and Engr., 4, 32-41.
• Ringler, T. D., and D. A. Randall, 2002: The ZM grid: An alternative to the Z grid. Mon. Wea. Rev., 130, 1411-1422.
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• Ringler, T. D., and D. A. Randall, 2002: A potential enstrophy and energy conserving numerical scheme for solution of the shallow-water equations on a geodesic grid. Mon. Wea. Rev., 130, 1397-1410.
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• Cripe, D. G., and D. A. Randall, 2001: Joint variations of temperature and water vapor over the midlatitude continents. Geophys. Res. Lett., 28, 2613-2626.
• Khairoutdinov, M. F., and D. A. Randall, 2001: A Cloud Resolving Model as a Cloud Parameterization in the NCAR Community Climate System Model: Preliminary Results. Geophys. Res. Lett., 28, 3617-3620.
• Lappen, C.-L, and D. A. Randall, 2001: Towards a unified parameterization of the boundary layer and moist convection. Part I. A new type of mass-flux model. J. Atmos. Sci., 58, 2021-2036.
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• Lappen, C.-L., and D. A. Randall, 2001: Towards a unified parameterization of the boundary layer and moist convection. Part II. Lateral mass exchanges and sub-plume-scale fluxes. J. Atmos. Sci., 58, 2037-2051.
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• Lappen, C.-L., and D. A. Randall, 2001: Towards a unified parameterization of the boundary layer and moist convection. Part III. Simulations of multiple convective regimes. J. Atmos. Sci., 58, 2052-2072.
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• Maurice Blackmon, Byron Boville, Frank Bryan, Robert Dickinson, Peter Gent, Jeffrey Kiehl, Richard Moritz, David Randall, Jagadish Shukla, Susan Solomon, Gordon Bonan, Scott Doney, Inez Fung, James Hack, Elizabeth Hunke, James Hurrell, John Kutzbach, Jerry Meehl, Bette Otto-Bliesner, R. Saravanan, Edwin K. Schneider, Lisa Sloan, Michael Spall, Karl Taylor, Joseph Tribbia, Warren Washington, 2001: The Community Climate System Model. Bull. Amer. Meteor. Soc., 82, 2357-2376.
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• Fowler, L. D., B. A. Wielicki, D. A. Randall, M. D. Branson, G. G. Gibson, and F. M. Denn, 2000: Use of a GCM t o explore sampling issues in connection with satellite remote sensing of the Earth's radiation budget. J. Geophys. Res., 105, 20757-20772.
• Lin, X., D. A. Randall, and L. D. Fowler, 2000: Diurnal Variability of the Hydrologic Cycle and Radiative Fluxes: Comparisons between Observations and a GCM. J. Climate, 13, 4159-4179.
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• Ringler, T. D., R. P. Heikes, and D. A. Randall, 2000: Modeling the atmospheric general circulation using a spherical geodesic grid: A new class of dynamical cores. Mon. Wea. Rev., 128, 2471-2490.
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• Xu, K.-M., and D. A. Randall, 2000: Explicit simulation of midlatitude cumulus ensembles: Comparison with ARM data. J. Atmos. Sci., 57, 2839-2858.
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• Zhang, C., D. A. Dazlich, and D. A. Randall, 1999: Simulations of soil moisture and surface water balance using the Simple Biosphere Model 2. J. Meteor. Soc. Japan, 77, 217-234.
• Randall, D. A., and D. G. Cripe, 1999: Alternative methods for specification of observed forcing in single-column models and cloud system models. J. Geophys. Res., 104, 24527-24545.
• Fowler, L. D., and D. A. Randall, 1999: Simulation of upper-tropospheric clouds with the CSU general circulation model. J. Geophys. Res., 104, 6101-6121.
• Eitzen, Z., and D. A. Randall, 1999: Sensitivity of the simulated Asian summer monsoon to parameterized physical processes. J. Geophys. Res., 104, 12177-12191.
• Bounoua, L., G. J. Collatz, P. J. Sellers, D. A. Randall, D. A. Dazlich, S. O. Los, J. A. Berry, I. Fung, C. J. Tucker, C. B. Field, and T. G. Jensen, 1999: Interactions between vegetation and climate: Radiative and physiological effects of doubled atmospheric CO2. J. Climate, 12, 309-324.
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• D'Andrea, F., S. Tibaldi, M. Blackburn, G. Boer, M. Deque, M.R. Dix, B. Dugas, L. Ferranti, T. Iwasaki, A. Kitoh, V.Pope, D. Randall, E. Roeckner, D. Straus, W. Stern, H. van den Dool and D. Williamson, 1998. Northern hemisphere atmospheric blocking as simulated by 15 atmospheric general circulation models in the period 1979-1988. Climate Dynamics, 14, 385-407.
• Randall, D. A., Q. Shao, and M. Branson, 1998: Representation of Clear and Cloudy Boundary Layers In Climate Models. In Clear and Cloudy Boundary Layers, A. A. M. Holtslag and P. G. Duynkerke, Eds., Roy. Neth. Acad. Arts and Sci., Amsterdam, pp. 305-322.
• Pan, D.-M., and D. A. Randall, 1998: A Cumulus Parameterization with a Prognostic Closure. Quart. J. Roy. Met. Soc., 124, 949-981.
• Ding, P., and D. A. Randall, 1998: A Cumulus Parameterization with Multiple Cloud Base Levels. J. Geophys. Res., 103, 11341-11354.

• Randall, D. A., D.-M. Pan, and P. Ding, 1997: Quasiequilibrium. In The Physics and Parameterization of Moist Atmospheric Convection, R. K. Smith (ed.), Kluwer Academic Publishers, printed in The Netherlands. pp. 359-385.
• Randall, D. A., P. Ding, and D.-M. Pan, 1997: The Arakawa-Schubert Parameterization. In The Physics and Parameterization of Moist Atmospheric Convection, R. K. Smith (ed.), Kluwer Academic Publishers, printed in The Netherlands. pp. 281-296.
• Cess, R. D., M. H. Zhang, G. L. Potter, V. Alekseev, H. W. Barker, S. Bony, R. A. Colman, D. A. Dazlich, A. D. Del Genio, M. D~Nqu~N, M. R. Dix, V. Dymnikov, M. Esch, L. D. Fowler, J. R. Fraser, V. Galin, W. L. Gates, J. J. Hack, W. J. Ingram, J. T. Kiehl, Y. Kim, H. Le Treut, X. Z. Liang, B. J. McAvaney, V. P. Meleshko, J.-J. Morcrette, D. A. Randall, E. Roeckner, M. E. Schlesinger, P. V. Sporyshev, K. E. Taylor, B. Timbal, E. M. Volodin, W. Wang, W. C. Wang, and R. T. Wetherald, 1997: Measurements, Models, and Hypotheses in the Atmospheric Sciences. Bull. Amer. Meteor. Soc., 78, 399-406.
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• Sellers, P. J., R. E. Dickinson, D. A. Randall, A. K. Betts, F. G. Hall, J. A. Berry, C. J. Collatz, A. S. Denning, H. A. Mooney, C. A. Nobre, and N. Sato, C.B. Field, A. Henderson-Sellers, 1997: Modeling the exchanges of energy, water, and carbon between the continents and the atmosphere. Science, 275, 502-509.

• Zhang, C., D. A. Randall, and C.-H. Moeng, M. Branson, K. A. Moyer, and Q. Wang, 1996: A surface flux parameterization based on the vertically averaged turbulence kinetic energy. Mon. Wea. Rev., 124, 2521-2536.
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• Randall, D. A., 1996: A University Perspective on Global Climate Modeling. Bull. Amer. Meteor. Soc., 77, 2685-2690.
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• Denning, A. S., G. J. Collatz, C. Zhang, D. A. Randall, J. A. Berry, P. J. Sellers, G. D. Colello, and D. A. Dazlich, 1996: Simulations of terrestrial carbon metabolism and atmospheric CO2 in a general circulation model. Part 1: Surface carbon fluxes. Tellus, 48B, 521-543.
• Denning, A. S., D. A. Randall, G. J. Collatz, and P. J. Sellers, 1996: Single-Column Models and Cloud Ensemble Models As Links Between Observations and Climate Models. J. Climate, 9, 1683-1697.
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• Zhang, C., D. A. Dazlich, D. A. Randall, P. J. Sellers, and A. S. Denning, 1996: Calculation of the Global Land-Surface Energy, Water, and CO2 Fluxes With an Off-Line Version of SiB2. J. Geophys. Res., 101, 19061-19075.
• Sellers, P. J., L. Bounoua, G. J. Collatz, D. A. Randall, D. Dazlich, S. Los, J. Berry, I. Fung, J. Tucker, C. Field, and T. G. Jensen, 1996: Comparison of radiative and physiological effects of doubled atmospheric CO2 climate. Science, 271, 1402-1405.
• Randall, D. A., P. J. Sellers, J. A. Berry, D. A. Dazlich, C. Zhang, G. J. Collatz, A. S. Denning, S. O. Los, C. B. Field, I. Fung, C. O. Justice, C. J. Tucker, and L. Bounoua, 1996: A Revised Land-Surface Parameterization (SiB2) for GCMs. Part 3: The Greening of the Colorado State University General Circulation Model. J. Climate, 9, 738-763.
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• Sellers, P. J., S. O. Los, C. J. Tucker, C. O. Justice, D. A. Dazlich, G. J. Collatz, and D. A. Randall, 1996: . J. Climate, 9, 706-737.
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• Sellers, P. J., D. A. Randall, G. J. Collatz, J. Berry, C. Field, D. A. Dazlich, C. Zhang, and L. Bounoua, 1996: A Revised Land-Surface Parameterization (SiB2) for Atmospheric GCMs. Part 1: Model formulation. J. Climate, 9, 676-705.
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• Fowler, L. D., and D. A. Randall, 1996: 1996: AMS Copyright notice)
• Fowler, L. D., and D. A. Randall, 1996: Liquid and Ice Cloud Microphysics in the CSU General Circulation Model. Part 3: Sensitivity to Modeling Assumptions. J. Climate, 9, 561-586.
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• Fowler, L. D., D. A. Randall, and S. A. Rutledge, 1996: Liquid and Ice Cloud Microphysics in the CSU General Circulation Model. Part 1: Model Description and Simulated Microphysical Processes. J. Climate, 9, 489-529.
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• Heikes, R. P., and D. A. Randall, 1995: Numerical integration of the shallow water equations on a twisted icosahedral grid. Part I: Basic design and results of tests. Mon. Wea. Rev., 123, 1862-1880.
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• Denning, A. S., I. Fung, and D. A. Randall, 1995: Simulation of the atmospheric transport of carbon dioxide with a general circulation model. Nature, 376, 240-243.
• Heikes, R. P., and D. A. Randall, 1995: Numerical integration of the shallow water equations on a twisted icosahedral grid. Part II: Grid refinement, accuracy and computational performance. Mon. Wea. Rev.,123, 1881-1887.
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• Heikes, R. P., and D. A. Randall, 1995: Numerical integration of the shallow water equations on a twisted icosahedral grid. Part I: Basic design and results of tests. Mon. Wea. Rev., 123, 1862-1880.
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• Gleckler, P. J., D. A. Randall, G. Boer, R. Colman, M. Dix, V. Galin, M. Helfand, J. Kiehl, A. Kitoh, W. Lau, X.-Z. Liang, V. Lykossov, McAvaney, K. Miyakoda, S. Planton, and W. Stern, 1995: Interpretation of ocean energy transports implied by atmospheric general circulation models. Geophys. Res. Lett., 22, 791-794.

• Numerical Integration of the Shallow-Water Equations on a Twisted Icosahedral Grid. Part I: Basic Design and Results of Tests; Heikes & Randall; 1994.
• Randall, D. A., R. D. Cess, J. P. Blanchet, S. Chalita, R. Colman, D. A. Dazlich, A. D. Del Genio, V. Dymnikov, V. Galin, D. Jarrett, E. Keup, A. Lacis, H. Le Treut, X.-Z. Liang, B. J. McAvaney, J. F. Mahfouf, V. P. Meleshko, J. F. B. Mitchell, J.-J. Morcrette, P. M. Norris, G. L. Potter, L. Rikus, E. Roeckner, J. F. Royer, U. Schlese, D. A. Sheinin, J. M. Slingo, A. P. Sokolov, K. E. Taylor, W. M. Washington, R. T. Wetherald, I. Yagai, and M.-H. Zhang, 1994: Analysis of Snow Feedbacks In Fourteen General Circulation Models. J. Geophys. Res., 99, 20,757-20,771.
• Fowler, L. D., and D. A. Randall, 1994: A Global Radiative-Convective Feedback. Geophys. Res. Lett., 21, 2035 - 2038.
• Stephens, G. L., A. Slingo, M. J. Webb, P. J. Minnett, P H. Daum, L. Kleinman, I. L. Wittmeyer, and D. A. Randall, 1994: Observations of the Earth's Radiation Budget in Relation to Atmospheric Hydrology. Part IV: Atmospheric Column Radiative Cooling Over the Worlds' Oceans. J. Geophys. Res., 99, 18585 - 18604.
• Randall, D. A., 1994: Geostrophic adjustment and the finite-difference shallow-water equations. Mon. Wea. Rev., 122, 1371-1377.
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• Randall, D. A., and D.-M. Pan, 1993: Implementation of the Arakawa-Schubert cumulus parameterization with a prognostic closure. In Cumulus Parameterization, a Meteorological Monograph published by the American Meteorological Society, K. Emanuel and D. Raymond, Eds., pp. 137 - 144.
• Stephens, G. L., D. A. Randall, S. J. Tjemkes, I. L. Wittmeyer, and D. A. Dazlich 1993: The Earth's Radiation Budget in Relation to Atmospheric Hydrology Cycle. Part III. Comparison of observations with a GCM. J. Geophys. Res., 98, 4931 - 4950.

• Schmitt, C., and D. A. Randall, 1991: Effects of surface temperature and clouds on the CO2 forcing. J. Geophys. Res., 96, 9159-9168.
• Randall, D. A., Harshvardhan, and D. A. Dazlich, 1991: Diurnal Variability of the Hydrologic Cycle in a General Circulation Model. J. Atmos. Sci., 48, 40-62.
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• Harshvardhan, D. A. Randall, and D. A. Dazlich, 1990: Relationship between the longwave cloud radiative forcing at the surface and the top of the atmosphere. J. Climate, 3, 1435-1443.
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• Randall, D. A., 1989: Cloud Parameterization for Climate Models: Status and Prospects. Atmos. Res., 23, 345-362.
• Cess, R. D., G. L. Potter, J. P. Blanchet, G. Boer, S. J. Ghan, J. T. Kiehl, X.-Z. Liang, J. F. B. Mitchell, J.-J. Morcrette, D. A. Randall, M. R. Riches, E. Roeckner, U. Schlese, A. Slingo, K. E. Taylor, W. M. Washington, R. T. Wetherald, and I. Yagai, 1989: Interpretation of Cloud-Climate Feedback as Produced by Fourteen Atmospheric General Circulation Models. Science, 245, 513-516.
• Randall, D. A., Harshvardhan, D. A. Dazlich, and T. G. Corsetti, 1989: Interactions Among Radiation, Convection, and Large-Scale Dynamics in a General Circulation Model. J. Atmos. Sci., 46, 1943-1970.
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• Harshvardhan, D. A. Randall, T. G. Corsetti, and D. A. Dazlich, 1989: Earth Radiation Budget and Cloudiness Simulations with a General Circulation Model. J. Atmos. Sci., 46, 1922-1942.
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• Harshvardhan, R. Davies, D. A. Randall, and T. G. Corsetti, 1987: A Fast Radiation Parameterization for Atmospheric Circulation Models. J. Geophys. Res., 92, 1009 - 1016.

• Harshvardhan, and D. A. Randall, 1985: Comments on "The Parameterization of Radiation for Numerical Weather Prediction and Climate Models." Mon. Wea. Rev., 113, 1832 - 1833.
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• Randall, D. A., J. A. Abeles, and T. G. Corsetti, 1985: Seasonal Simulations of the Planetary Boundary Layer and Boundary-Layer Stratocumulus Clouds with a General Circulation Model. J. Atmos. Sci., 42, 641 - 676.
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Non-Refereed BUGS Related Publications

• Konor, C. S. Ross Heikes, 2008: Documentation of CSU Generalized-Vertical Coordinate Dynamical Core. Technical Report, Colorado State University, 27pp.

• Konor, C. S. and A. Arakawa, 2006: Multi-point Differencing (MED) for Efficient Integrations of the Wave Equation. Atmospheric Science Report No. 769, Colorado State University, 52pp.

• Konor, C. S. and A. Arakawa, 2005: Incorporation of Moist Processes and A PBL Parameterization into The Generalized Vertical Coordinate Model. Atmospheric Science Report No. 765, Colorado State University, 74pp.
• Jung, J.-H., and A. Arakawa, 2005: A Three-Dimensional Cloud Model Based on the Vector Vorticity Equation. Atmospheric Science Paper No. 762, Colorado State University, 56pp.

• D. A. Randall, 2004: The new CSU dynamical core; Paper presented at the Seminar on Recent Developments in Numerical Methods of Atmosphere and Ocean Modeling. ECMWF.

• Randall, D. A., R. Heikes, and T. Ringler, 2000: Global atmospheric modeling using a geodesic grid with an isentropic vertical coordinate. In General Circulation Model Development, Academic Press, pp. 509 - 538.
• Randall, D. A., J. Curry, P. Duynkerke, S. Krueger, M. Miller, B. Ryan, D. Starr, W. Rossow, G. Tselioudis, and B. Wielicki, 2000: The second GEWEX Cloud Systems Study Science and Implementation plan. Int. GEWEX Project Office Ser. No. 34, 45 pp. Available from the International GEWEX Project Office.

• Randall, D. A., and L. D. Fowler, 1999: Eauliq: The Next Generation. Atmospheric Science Paper No. 673, Colorado State University, 65 pp.
• Randall, D. A., R. Cederwall, S. Ghan, T. Del Genio, and S. Krueger, 1999: ARM Single-Column Modeling: The Next Five Years. To be published by D.O.E.
• Lappen, C.-L., 1999: The unification of mass flux and higher-order closure in the simulation of boundary layer turbulence. Atmospheric Science Paper 679, Colorado State University, 329 pp.
• Jensen, T. G., 1999: Description of a thermodynamic ocean modelling system, TOMS. Atmospheric Science Paper No. 670, Colorado State University, 50 pp (D. A. Randall, Principal Investigator).

• Ringler, T. D., R. P. Heikes, and D. A. Randall, 1998: Solving the primitive equations on a spherical geodesic grid: A technical report to a new class of dynamical cores. Atmospheric Science Paper No. 665, Colorado State University, 62 pp.

• Lappen, C.-L. and D. A. Randall, 1996: Comparison of the Simulated Arctic Climate of the CSU GCM with Observations. Atmospheric Science Paper No. 614, Colorado State University.
• Jensen, T. G., D. A. Dazlich, and D. A. Randall, 1996: A one-dimensional mixed layer ocean and sea ice model with prescribed oceanic heat transport. Atmospheric Science Report No. 593, Colorado State University, 48 pp.

• Randall, D. A., 1992: Global Climate Models: What and How. In Global Warming: Physics and Facts. B. G. Levi, D. Hafemeister, and R. Scribner, Eds. American Physical Society. pp. 24 - 35.
• Smith, L. D. and D. A. Randall, 1992: Parameterization of Cloud Microphysical Processes in the CSU General Circulation Model. Atmospheric Science Paper No. 491, Colorado State University, 58 pp.

• Randall, D. A., P. J. Sellers, and D. A. Dazlich, 1989: Applications of a prognostic turbulence kinetic energy in a bulk boundary-layer model. Atmospheric Science Paper No. 437, Colorado State University, 19 pp.

• Randall, D. A., 1985: Practical Considerations Concerning the Use of the Planetary Boundary Layer Top as a Coordinate Surface. Technical Memorandum 193, European Centre for Medium Range Weather Forecasting, 12 pp.