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<article language="en">
	<journal>
		<journal_title>Geoscientific Model Development Discussions</journal_title>
		<journal_url>www.geosci-model-dev-discuss.net</journal_url>
		<issn>1991-9611</issn>
		<eissn>1991-962X</eissn>
		<volume_number>3</volume_number>
		<issue_number>1</issue_number>
		<publication_year>2010</publication_year>
	</journal>
	<doi>10.5194/gmdd-3-99-2010</doi>
	<article_url>http://www.geosci-model-dev-discuss.net/3/99/2010/</article_url>
	<abstract_html>http://www.geosci-model-dev-discuss.net/3/99/2010/gmdd-3-99-2010.html</abstract_html>
	<fulltext_pdf>http://www.geosci-model-dev-discuss.net/3/99/2010/gmdd-3-99-2010.pdf</fulltext_pdf>
	<start_page>99</start_page>
	<end_page>180</end_page>
	<publication_date>2010-02-16</publication_date>
	<article_title content_type="html">Formulation of and numerical studies with the Dutch Atmospheric Large-Eddy Simulation (DALES)</article_title>
	<authors>
		<author numeration="1" affiliations="1,6">
			<name>T. Heus</name>
			<email>thijs.heus@zmaw.de</email>
		</author>
		<author numeration="2" affiliations="2">
			<name>C. C. van Heerwaarden</name>
		</author>
		<author numeration="3" affiliations="3">
			<name>H. J. J. Jonker</name>
		</author>
		<author numeration="4" affiliations="1,3">
			<name>A. Pier Siebesma</name>
		</author>
		<author numeration="5" affiliations="4">
			<name>S. Axelsen</name>
		</author>
		<author numeration="6" affiliations="2">
			<name>K. van den Dries</name>
		</author>
		<author numeration="7" affiliations="1">
			<name>O. Geoffroy</name>
		</author>
		<author numeration="8" affiliations="2">
			<name>A. F. Moene</name>
		</author>
		<author numeration="9" affiliations="5">
			<name>D. Pino</name>
		</author>
		<author numeration="10" affiliations="3">
			<name>S. R. de Roode</name>
		</author>
		<author numeration="11" affiliations="2">
			<name>J. Vilà-Guerau de Arellano</name>
		</author>
	</authors>
	<affiliations>
		<affiliation numeration="1" content_type="html">Royal Netherlands Meteorological Institute, De Bilt, The Netherlands</affiliation>
		<affiliation numeration="2" content_type="html">Meteorology and Air Quality Section, Wageningen University, Wageningen, The Netherlands</affiliation>
		<affiliation numeration="3" content_type="html">Department of Multi-Scale Physics, Delft University of Technology, Delft, The Netherlands</affiliation>
		<affiliation numeration="4" content_type="html">Institute for Marine and Atmospheric Research Utrecht, Utrecht University, Utrecht, The Netherlands</affiliation>
		<affiliation numeration="5" content_type="html">Applied Physics Department, Technical University of Catalonia, and Institute for Space Studies of  Catalonia (IEEC/CSIC), Barcelona, Spain</affiliation>
		<affiliation numeration="6" content_type="html">Max Planck Institute for Meteorology, Bundesstraße 53, 20146 Hamburg, Germany</affiliation>
	</affiliations>
	<abstract content_type="html">The current version of the Dutch Atmospheric Large-Eddy Simulation (DALES)
model is presented. DALES is a large-eddy simulation model designed for
process studies of the atmospheric boundary layer, including convective and
stable boundary layers as well as cloudy boundary layers. In addition, DALES
can be used for studies of more specific cases, such as flow over sloping or
heterogeneous terrain, and dispersion of inert and chemically active species.
This paper contains an extensive description of the physical and numerical
formulation of the code, and gives an overview of its applications and
accomplishments in recent years.</abstract>
	<references>
		<reference numeration="1" content_type="text"> Ackerman, A., van Zanten, M C., Stevens, B., Savic-Jovcic, V., Bretherton, C S., Chlond, A., Golaz, J.-C., Jiang, H., Khairoutdinov, M., Krueger, S K., Lewellen, D C., Lock, A., Moeng, C.-H., Nakamura, K., Ovtchinnikov, M., Petters, M D., Snider, J R., Weinbrecht, S., and Zulauf, M.: Large-eddy simulations of a drizzling, stratocumulus-topped marine boundary layer, Mon. Wea. Rev., 137, 1083–1110, \doi10.1175/2008MWR2582.1, 2009. </reference>
		<reference numeration="2" content_type="text"> Ackerman, A S., Kirkpatrick, M P., Stevens, D E., and Toon, O B.: The impact of humidity above stratiform clouds on indirect aerosol forcing, Nature, 432, 1014–1017, \doi10.1038/nature01174, 2004. </reference>
		<reference numeration="3" content_type="text"> Axelsen, S L. and van Dop, H.: Large-Eddy Simulations and observations of slope flow, Acta Geophysica, in preparation, 2010. </reference>
		<reference numeration="4" content_type="text"> Basu, S., Steeneveld, G J., Holtslag, A. A M., and Bosveld, F C.: Large-Eddy Simulation Intercomparison Case Setup for GABLS3, in: 18th Symposium on Boundary Layers and Turbulence, Stockholm, Sweden, 9–13 June, 2008. American Meteorological Society, Boston, 8A.7, 2008. </reference>
		<reference numeration="5" content_type="text"> Beare, R J., Macvean, M K., Holtslag, A. A M., Cuxart, J., Esau, I., Golaz, J.-C., Jimenez, M A., Khairoutdinov, M., Kosovic, B., Lewellen, D., Lund, T S., Lundquist, J K., Mccabe, A., Moene, A F., Noh, Y., Raasch, S., and Sullivan, P.: An Intercomparison of Large-Eddy Simulations of the Stable Boundary Layer, Bound.-Lay. Meteorol., 118, 247–272, \doi10.1007/s10546-004-2820-6, 2006. </reference>
		<reference numeration="6" content_type="text"> Beljaars, A. C M.: Numerical schemes for parametrizations, in: Proceedings of the ECMWF Seminar on Numerical Methods in Atmospheric Models, ECMWF, 1–42, 1991. </reference>
		<reference numeration="7" content_type="text"> Betts, A K.: Parametric interpretation of trade-wind cumulus budget studies, J. Atmos. Sci., 32, 1934–1945, \doi10.1175/1520-0469(1975)032&amp;lt;1934:PIOTWC&amp;gt;2.0.CO;2, 1975. </reference>
		<reference numeration="8" content_type="text"> Bretherton, C S., Krueger, S K., Wyant, M C., Bechtold, P., Meijgaard, E V., Stevens, B., and Teixeira, J.: A GCSS boundary-layer cloud model intercomparison study of the first ASTEX Lagrangian experiment, Bound.-Lay. Meteorol., 93, 341–380, \doi10.1023/A:1002005429969, 1999a. </reference>
		<reference numeration="9" content_type="text"> Bretherton, C S., MacVean, M K., Bechtold, P., Chlond, A., Cuxart, J., Khairoutdinov, M., Kosovic, B., Lewellen, D C., Moeng, C.-H., Siebesma, A P., Stevens, B., Stevens, D E., I.Sykes, and Wyant, M C.: An intercomparison radiatively-driven entrainment and turbulence in a smoke cloud, as simulated by different numerical models, Q. J. Roy. Meteor. Soc., 125, 391–423, \doi10.1002/qj.49712555402, 1999b. </reference>
		<reference numeration="10" content_type="text"> Bretherton, C S., McCaa, J R., and Grenier, H.: A new parameterization for shallow cumulus convection and its application to marine subtropical cloud-topped boundary layers. Part I: Description and 1D results, Mon. Weather Rev., 132, 864–882, \doi10.1175/1520-0493(2004)132&amp;lt;0864:ANPFSC&amp;gt;2.0.CO;2, 2004. </reference>
		<reference numeration="11" content_type="text"> Bretherton, C S., Blossey, P N., and Uchida, J.: Cloud droplet sedimentation, entrainment efficiency, and subtropical stratocumulus albedo, Geophys. Res. Lett., 34, 3307, \doi10.1029/2006GL027648, 2007. </reference>
		<reference numeration="12" content_type="text"> Brown, A R., Cederwall, R T., Chlond, A., Duynkerke, P G., Golaz, J C., Khairoutdinov, M., Lewellen, D C., Lock, A P., MacVean, M K., Moeng, C.-H., Neggers, R. A J., Siebesma, A P., and Stevens, B.: Large-eddy simulation of the diurnal cycle of shallow cumulus convection over land, Q. J. Roy. Meteor. Soc., 128, 1075–1093, \doi10.1256/003590002320373210, 2002. </reference>
		<reference numeration="13" content_type="text"> Businger, J A., Wyngaard, J C., Izumi, Y., and Bradley, E F.: Flux-profile relationships in the atmospheric surface layer, J. Atmos. Sci., 28, 181–189, \doi10.1175/1520-0469(1971)028&amp;lt;0181:FPRITA&amp;gt;2.0.CO;2, 1971. </reference>
		<reference numeration="14" content_type="text"> Cahalan, R. and Joseph, J.: Fractal statistics of cloud fields, Mon. Weather Rev., 117, 261–272, \doi10.1175/1520-0493(1989)117&amp;lt;0261:FSOCF&amp;gt;2.0.CO;2, 1989. </reference>
		<reference numeration="15" content_type="text"> Cahalan, R F., Oreopoulos, L., Marshak, A., Evans, K F., Davis, A B., Pincus, R., Yetzer, K H., Mayer, B., Davies, R., Ackerman, T P., Barker, H W., Clothiaux, E E., Ellingson, R G., Garay, M J., Kassianov, E., Kinne, S., Macke, A., O&apos;Hirok, W., Partain, P T., Prigarin, S M., Rublev, A N., Stephens, G L., Szczap, F., Takara, E E., Várnai, T., Wen, G., and Zhuravleva, T B.: The I3RC: Bringing together the most advanced radiative transfer tools for cloudy atmospheres, B. Am. Meteorol. Soc., 86, 1275–1293, \doi10.1175/BAMS-86-9-1275, 2005. </reference>
		<reference numeration="16" content_type="text"> Cuijpers, J. W M.: Subgrid Parameterization in a large-eddy simulation model, in: Ninth Symp. on Turbulence and Diffusion, Amer. Meteor. Soc., Roskilde, Denmark, 176–179, 1990. </reference>
		<reference numeration="17" content_type="text"> Cuijpers, J W M. and Duynkerke, P G.: Large-eddy simulation of trade-wind cumulus clouds, J. Atmos. Sci., 55, 151–162, \doi10.1175/1520-0469(1998)055&amp;lt;0151:IOSANE&amp;gt;2.0.CO;2, 1993. </reference>
		<reference numeration="18" content_type="text"> de Roode, S R.: The role of eddy diffusivity profiles on stratocumulus liquid water path biases, Mon. Weather Rev., 135, 2786–2793, \doi10.1175/MWR3426.1, 2007. </reference>
		<reference numeration="19" content_type="text"> de Roode, S R. and Los, A.: The effect of temperature and humidity fluctuations on the liquid water path of non-precipitating closed-cell stratocumulus, Q. J. Roy. Meteor. Soc., 134, 403–416, \doi10.1002/qj.222, 2008. </reference>
		<reference numeration="20" content_type="text"> de Rooy, W C. and Siebesma, A P.: A simple parameterization for detrainment in shallow cumulus, Mon. Weather Rev., 136, 560–576, \doi10.1175/2007MWR2201.1, 2008. </reference>
		<reference numeration="21" content_type="text"> Deardorff, J W.: Theoretical expression for the counter-gradient vertical heat flux, J. Geophys. Res., 77, 5900–5904, \doi10.1029/JC077i030p05900, 1972. </reference>
		<reference numeration="22" content_type="text"> Deardorff, J W.: Three-dimensional numerical modeling of the planetary boundary layer, in: Workshop on Meteorology, edited by: Haugen, D A., American Meteorological Society, 271–311, 1973. </reference>
		<reference numeration="23" content_type="text"> Deardorff, J W.: Stratocumulus-capped mixed layers derived from a three dimensional model, Bound.-Lay. Meteorol., 18, 495–527, \doi10.1007/BF00119502, 1980. </reference>
		<reference numeration="24" content_type="text"> Dosio, A. and Vilà-Guerau de Arellano, J.: Statistics of absolute and relative dispersion in the atmospheric convective boundary layer: a Large-Eddy Simulation study, J. Atmos. Sci., 63, 1253–1272, \doi10.1175/JAS3689.1, 2006. </reference>
		<reference numeration="25" content_type="text"> Dosio, A., Vilà-Guerau de Arellano, J., Holtslag, A. A M., and Builtjes, P. J H.: Dispersion of a passive tracer in buoyancy- and shear-driven boundary layers., J. Appl. Meteor., 42, 1116–1130, \doi10.1175/1520-0450(2003)042&amp;lt;1116:DOAPTI&amp;gt;2.0.CO;2, 2003. </reference>
		<reference numeration="26" content_type="text"> Dosio, A., Vilà-Guerau de Arellano, J., Holtslag, A. A M., and Builtjes, P. J H.: Relating Eulerian and Lagrangian statistics for the turbulent dispersion in the atmospheric convective boundary layer, J. Atmos. Sci., 62, 1175–1191, \doi10.1175/JAS3393.1, 2005. </reference>
		<reference numeration="27" content_type="text"> Duda, D P., Stephens, G L., and Cox, S K.: Microphysical and radiative properties of marine stratocumulus from tethered balloon measurements, J. Appl. Meteor., 30, 170–186, \doi10.1175/1520-0450(1991)030&amp;lt;0170:MARPOM&amp;gt;2.0.CO;2, 1991. </reference>
		<reference numeration="28" content_type="text"> Duynkerke, P., Jonker, P., Chlond, A., van Zanten, M., Cuxart, J., Clark, P., Sanchez, E., Martin, G., Lenderink, G., and Teixeira, J.: Intercomparison of three- and one-dimensional model simulations and aircraft observations of stratocumulus, Bound.-Lay. Meteorol., 92, 453–487, \doi10.1023/A:1002006919256, 1999. </reference>
		<reference numeration="29" content_type="text"> Duynkerke, P G.: Turbulence, radiation and fog in Dutch Stable Boundary Layers, Bound.-Lay. Meteorol., 90, 447–477, \doi10.1023/A:1026441904734, 1999. </reference>
		<reference numeration="30" content_type="text"> Duynkerke, P G., de Roode, S R., Van Zanten, M. C., et~al.: Observations and numerical simulation of the diurnal cycle of the EUROCS stratocumulus case, Q. J. Roy. Meteor. Soc., 140, 3269–3296, \doi10.1256/qj.03.139, 2004. </reference>
		<reference numeration="31" content_type="text"> Emanuel, K A.: Atmospheric Convection, Oxford University Press, New York, 1994. </reference>
		<reference numeration="32" content_type="text"> Fedorovich, E., Conzemius, R., and Mironov, D.: Convective entrainment into a shear-free, linearly stratified atmosphere: bulk models reevaluated through large-eddy simulations, J. Atmos. Sci., 61, 281–295, \doi10.1175/1520-0469(2004)061&amp;lt;0281:CEIASL&amp;gt;2.0.CO;2, 2004a. </reference>
		<reference numeration="33" content_type="text"> Fedorovich, E., R.Conzemius, Esau, I., Chow, F K., Lewellen, D., Moeng, C.-H., Sullivan, P., Pino, D., and Vilà-Guerau de Arellano, J.: Entrainment Into Sheared Convective Boundary Layers As Predicted By Different Large Eddy Simulation Codes, in: The 16th Symposium on Boundary-Layers and Turbulence, 2004b. </reference>
		<reference numeration="34" content_type="text"> Fouquart, Y.: Radiation in boundary layer clouds, in: Report, JSC/CAS Workshop on Modelling of Cloud-Topped Boundary Layer, Fort Collins, CO, WMO/TD 75, Appendix~D, 40~pp, 1985. </reference>
		<reference numeration="35" content_type="text"> Fu, Q. and Liou, K.: On the Correlated k-Distribution Method for Radiative Transfer in Nonhomogenecous Atmospheres, J. Atmos. Sci., 49, 2139–2156, \doi10.1175/1520-0469(1992)049&amp;lt;2139:OTCDMF&amp;gt;2.0.CO;2, 1992. </reference>
		<reference numeration="36" content_type="text"> Fu, Q., Liou, K N., Cribb, M C., Charlock, T P., and Grossman, A.: Multiple Scattering Parameterization in Thermal Infrared Radiative Transfer, J. Atmos. Sci., 54, 2799–2812, \doi10.1175/1520-0469(1997)054&amp;lt;2799:MSPITI%&amp;gt;2.0.CO;2, 1997. </reference>
		<reference numeration="37" content_type="text"> Galmarini, S., Beets, C., Duynkerke, P., and Vilà-Guerau de Arellano, J.: Stable Nocturnal Boundary Layers: A Comparison of One-Dimensional and Large-Eddy Simulation Models, Bound.-Lay. Meteorol., 88, 181–210, \doi10.1023/A:1001158702252, 1998. </reference>
		<reference numeration="38" content_type="text"> Gao, S., Gao, Z., and Voke, P.: Balance Equatios in Finite-Volume Large-Eddy Simulations, Tech. rep., Department of Mechanical Engineering, Surrey University, England, 1994. </reference>
		<reference numeration="39" content_type="text"> Geoffroy, O., Brenguier, J.-L., and Burnet, F.: Parametric representation of the cloud droplet spectra for LES warm bulk microphysical schemes, Atmos. Chem. Phys. Discuss., 9, 17633–17663, 2009. </reference>
		<reference numeration="40" content_type="text"> Geoffroy, O., Brenguier, J L., Burnet, F., and Siebesma, A P.: Parametric representation of the rain droplet spectra for bulk microphysics, in preparation, 2010. </reference>
		<reference numeration="41" content_type="text"> Górska, M., Vilà-Guerau de Arellano, J., LeMone, M., and van Heerwaarden, C.: Mean and Flux Horizontal Variability of Virtual Potential Temperature, Moisture, and Carbon Dioxide: Aircraft Observations and LES Study, Mon. Weather Rev., 136, 4435–4451, \doi10.1175/2008MWR2230.1, 2008. </reference>
		<reference numeration="42" content_type="text"> Haiden, T. and Whiteman, C D.: Katabatic Flow Mechanisms on a Low-Angle Slope, J. Appl. Metor., 44, 113–126., \doi10.1175/JAM-2182.1, 2005. </reference>
		<reference numeration="43" content_type="text"> Heus, T. and Jonker, H. J J.: Subsiding shells around shallow cumulus clouds, J. Atmos. Sci., 65, 1003–1018, \doi10.1175/2007JAS2322.1, 2008. </reference>
		<reference numeration="44" content_type="text"> Heus, T., van Dijk, G., Jonker, H. J J., and van den Akker, H. E A.: Mixing in shallow cumulus clouds studied by Lagrangian particle tracking, J. Atmos. Sci., 65, 2581–2597, \doi10.1175/2008JAS2572.1, 2008. </reference>
		<reference numeration="45" content_type="text"> Holtslag, B.: Preface: GEWEX Atmospheric Boundary-layer Study (GABLS) on Stable Boundary Layers, Bound.-Lay. Meteorol., 118, 243–246, \doi10.1007/s10546-005-9008-6, 2006. </reference>
		<reference numeration="46" content_type="text"> Hundsdorfer, W., Koren, B., Vanloon, M., and Verwer, J G.: A positive finite-difference advection scheme, J. Comput. Phys., 117, 35–46, \doi10.1006/jcph.1995.1042, 1995. </reference>
		<reference numeration="47" content_type="text"> Jarvis, P G.: The interpretation of the variations in leaf water potential and stomatal conductance found in canopies in the field, Philos. T. Roy. Soc. Lon., 273B, 593–610, 1976. </reference>
		<reference numeration="48" content_type="text"> Jonker, H. J J., Vilà-Guerau de Arellano, J., and Duynkerke, P G.: Characteristic length scales of reactive species in a convective boundary layer, J. Atmos. Sci., 61, 41–56, \doi10.1175/1520-0469(2004)061&amp;lt;0041:CLSORS&amp;gt;2.0.CO;2, 2004. </reference>
		<reference numeration="49" content_type="text"> Jonker, H. J J., Heus, T., and Sullivan, P P.: A refined view of vertical transport by cumulus convection, Geophys. Res. Lett., 35, L07 810, \doi10.1029/2007GL032606, 2008. </reference>
		<reference numeration="50" content_type="text"> Joseph, J H., Wiscombe, W J., and Weinman, J A.: The delta-Eddington approximation for radiative flux transfer, J. Atmos. Sci., 33, 2452–2459, \doi10.1175/1520-0469(1976)033&amp;lt;2452:TDEAFR&amp;gt;2.0.CO;2, 1976. </reference>
		<reference numeration="51" content_type="text"> Kaimal, J. and Finnigan, J.: Atmospheric Boundary Layer Flows: Their Structure and Measurement, Oxford University Press, USA, 1994. </reference>
		<reference numeration="52" content_type="text"> Khairoutdinov, M. and Kogan, Y.: A new cloud physics parameterization in a large-eddy simulation model of marine stratocumulus, Mon. Weather Rev., 128, 229–243, \doi10.1175/1520-0493(2000)128&amp;lt;0229:ANCPPI&amp;gt;2.0.CO;2, 2000. </reference>
		<reference numeration="53" content_type="text"> Khanna, S. and Brasseur, J G.: Three-dimensional buoyancy and shear-induced local structure of the atmospheric boundary layer, J. Atmos. Sci., 55, 710–743, \doi10.1175/1520-0469(1998)055&amp;lt;0710:TDBASI&amp;gt;2.0.CO;2, 1998. </reference>
		<reference numeration="54" content_type="text"> Kim, S W., Park, S U., Pino, D., and Vilà-Guerau de Arellano, J.: Parameterization of entrainment in a sheared convec boundary layer using a first-order jump model, J. Atmos. Sci., 120, 455–475, 2006. </reference>
		<reference numeration="55" content_type="text"> Kosovi&amp;#x0107;, B. and Curry, J.: A Large Eddy Simulation Study of a Quasi-Steady, Stably Stratified Atmospheric Boundary Layer, J. Atmos. Sci., 57, 1052–1068, \doi10.1175/1520-0469(2000)057&amp;lt;1052:ALESSO&amp;gt;2.0.CO;2, 2000. </reference>
		<reference numeration="56" content_type="text"> Krol, M C., Molemaker, M J., and Vilà-Guerau de Arellano, J.: Effects of turbulence and heterogeneous emissions on photochemically active species in the convective boundary layer, J. Geophys. Res., 105, 6871–6884, \doi10.1029/1999JD900958, 2000. </reference>
		<reference numeration="57" content_type="text"> Larson, V E., Kotenberg, K E., and Wood, N B.: An analytic longwave radiation formula for liquid layer clouds, Mon. Weather Rev., 135, 689–699, \doi10.1175/MWR3315.1, 2007. </reference>
		<reference numeration="58" content_type="text"> Lilly, D.: Models of cloud-topped mixed layers under a strong inversion, Q. J. Roy. Meteor. Soc., 94, 292–309, 1968. </reference>
		<reference numeration="59" content_type="text"> Lilly, D K.: The representation of small-scale turbulence in numerical simulation experiments, in: Proc. IBM Scientific Computing symp. on Environmental Sciences, edited by: Goldstine, H., 195–210, 1967. </reference>
		<reference numeration="60" content_type="text"> Louis, J F.: A parametric model of vertical fluxes in the atmosphere, Bound.-Lay. Meteorol., 17, 187–202, \doi10.1007/BF00117978, 1979. </reference>
		<reference numeration="61" content_type="text"> Marshall, J. and Palmer, W.: The distribution of raindrops with size, J. Meteorol., 5, 165–166, 1948. </reference>
		<reference numeration="62" content_type="text"> Neggers, R. A J., Duynkerke, P G., and Rodts, S. M A.: Shallow cumulus convection: A validation of large-eddy simulation against aircraft and Landsat observations, Q. J. Roy. Meteor. Soc., 129, 2671–2696, \doi10.1256/qj.02.93, 2003a. </reference>
		<reference numeration="63" content_type="text"> Neggers, R. A J., Jonker, H. J J., and Siebesma, A P.: Size statistics of cumulus cloud populations in large-eddy simulations, J. Atmos. Sci., 60, 1060–1074, \doi10.1175/1520-0469(2003)60&amp;lt;1060:SSOCCP&amp;gt;2.0.CO;2, 2003b. </reference>
		<reference numeration="64" content_type="text"> Nieuwstadt, F. T M. and Brost, R A.: The decay of convective turbulence, J. Atmos. Sci., 43, 532–546, \doi10.1175/1520-0469(1986)043&amp;lt;0532:TDOCT&amp;gt;2.0.CO;2, 1986. </reference>
		<reference numeration="65" content_type="text"> Nieuwstadt, F. T M. and de Valk, J. P. J. M M.: A Large eddy simulation of buoyant and non-buoyant plume dispersion in the atmospheric boundary layer, Atmos. Environ., 21, 2573–2587, \doi10.1016/0004-6981(87)90189-2, 1987. </reference>
		<reference numeration="66" content_type="text"> Petersen, A. and Holtslag, A. A M.: A first-order closure for covariances and fluxes of reactive species in the convective boundary layer, J. Appl. Meteor., 38, 1758–1776, \doi10.1175/1520-0450(1999)038&amp;lt;1758:AFOCFC&amp;gt;2.0.CO;2, 1999. </reference>
		<reference numeration="67" content_type="text"> Petersen, A C., Beets, C., van Dop, H., Duynkerke, P G., and Siebesma, A P.: Mass-flux characteristics of reactive scalars in the convective boundary layer, J. Atmos. Sci., 56, 37–56, \doi10.1175/1520-0469(1999)056&amp;lt;0037:MFCORS&amp;gt;2.0.CO;2, 1999. </reference>
		<reference numeration="68" content_type="text"> Pincus, R. and Stevens, B.: Monte Carlo Spectral Integration: a Consistent Approximation for Radiative Transfer in Large Eddy Simulations, J. Adv. Model. Earth Syst., 1, 1, 9~pp., doi:10.3894/JAMES.2009.1.1, 2009. </reference>
		<reference numeration="69" content_type="text"> Pino, D. and Vilà-Guerau de Arellano, J.: Effects of the shear in the convective boundary layer: Analysis of the turbulent kinetic energy budget, Acta Geophysica, 56, 167–193, \doi10.2478/s11600-007-0037-z, 2008. </reference>
		<reference numeration="70" content_type="text"> Pino, D., Vilà-Guerau de Arellano, J., and Duynkerke, P G.: The contribution of shear to the evolution of a convective boundary layer, J. Atmos. Sci., 60, 1913–1926, \doi10.1175/1520-0469(2003)060&amp;lt;1913:TCOSTT&amp;gt;2.0.CO;2, 2003. </reference>
		<reference numeration="71" content_type="text"> Pino, D., Jonker, H. J J., Vilà-Guerau de Arellano, J., and Dosio, A.: Role of the shear and inversion strength during sunset turbulence over land, Bound.-Lay. Meteorol., 121, 537–556, \doi10.1007/s10546-006-9080-6, 2006a. </reference>
		<reference numeration="72" content_type="text"> Pino, D., Vilà-Guerau de Arellano, J., and Kim, S W.: Representing sheared convective boundary layer by zeroth- and first-order jump mixed layer models: large-eddy simulation verification, J. Appl. Meteor., 45, 1224-1243, \doi10.1175/1520-0469(2003)060&amp;lt;1913:TCOSTT&amp;gt;2.0.CO;2, 2006b. </reference>
		<reference numeration="73" content_type="text"> Pinsky, M B. and Khain, A P.: Effects of in-cloud nucleation and turbulence on droplet spectrum formation in cumulus clouds, Q. J. Roy. Meteor. Soc., 128, 501–533, \doi10.1256/003590002321042072, 2002. </reference>
		<reference numeration="74" content_type="text"> Randall, D.: Conditional instability of the fist kind upside down, J. Atmos. Sci., 37, 125–150, \doi10.1175/1520-0469(1980)037&amp;lt;0125:CIOTFK&amp;gt;2.0.CO;2, 1980. </reference>
		<reference numeration="75" content_type="text"> Rauber, R M., Stevens, B., Ochs, H T., Knight, C A., Albrecht, B A., Blyth, A M., Fairall, C W., Jensen, J B., Lasher-Trapp, S G., Mayol-Bracero, O L., Vali, G., Anderson, J R., Baker, B A., Bandy, A R., F., B., Brenguier, J.-L., Brewer, W A., Brown, P. R A., Chuang, P., Cotton, W R., Di Girolamo, L., Geerts, B., Gerber, H., Göke, S., Gomes, L., Heikes, B G., Hudson, J G., Kollias, P., P., L R., Krueger, S., Lenschow, D H., Nuijens, L., O&apos;Sullican, D. W O., Rilling, R A., Rogers, D C., Siebesma, A P., Snodgrass, E., Stith, J L., Thornton, D C., Tucker, S., Twohy, C H., and Zuidema, P.: Rain in (shallow) cumulus over the ocean – The RICO campaign, B. Am. Meteorol. Soc., 88, 1912–1928, \doi10.1175/BAMS-88-12-1912, 2007. </reference>
		<reference numeration="76" content_type="text"> Rodts, S. M A., Duynkerke, P G., and Jonker, H. J J.: Size distributions and dynamical properties of shallow cumulus clouds from aircraft observations and satellite data, J. Atmos. Sci., 60, 1895–1912, \doi10.1175/1520-0469(2003)060&amp;lt;1895:SDADPO&amp;gt;2.0.CO;2, 2003. </reference>
		<reference numeration="77" content_type="text"> Rogers, R R., Baumgardner, R M., Ethier, S A., Carter, D A., and Ecklund, W L.: Comparison of raindrop size distributions measured by radar wind profiler and by airplane, J. Appl. Meteor., 32, 694–699, \doi10.1175/1520-0450(1993)032&amp;lt;0694:CORSDM&amp;gt;2.0.CO;2, 1993. </reference>
		<reference numeration="78" content_type="text"> Schumann, U.: Large-eddy simulation of turbulent diffusion with chemical reactions in the convective boundary layer, Atmos. Environ., 23, 1713–1729, \doi10.1016/0004-6981(89)90056-5, 1989. </reference>
		<reference numeration="79" content_type="text"> Schumann, U.: Large-eddy simulation of the up-slope boundary layer, Q. J. Roy. Meteor. Soc, 116, 637–670, \doi10.1256/smsqj.49306, 1990. </reference>
		<reference numeration="80" content_type="text"> Seifert, A.: On the parameterization of evaporation of raindrops as simulated by a one-dimensional rainshaft model, J. Atmos. Sci., 65, 3608–3619, \doi10.1175/2008JAS2586.1, 2008. </reference>
		<reference numeration="81" content_type="text"> Seifert, A. and Beheng, K D.: A double-moment parameterization for simulating autoconversion, accretion and selfcollection, Atmos. Res., 59, 265–281, \doi10.1016/S0169-8095(01)00126-0, 2001. </reference>
		<reference numeration="82" content_type="text"> Seifert, A. and Beheng, K D.: A two-moment cloud microphysics parameterization for mixed-phase clouds. Part 1: Model description, Meteorol. Atmos. Phys., 92, 45–66, \doi10.1007/s00703-005-0112-4, 2006. </reference>
		<reference numeration="83" content_type="text"> Shettle, E P. and Weinman, J A.: The transfer of solar irradiance through inhomogeneous turbid atmospheres evaluated by Eddingtonï¿½s approximation, J. Atmos. Sci., 27, 1048–1055, \doi10.1175/1520-0469(1970)027&amp;lt;1048:TTOSIT&amp;gt;2.0.CO;2, 1970. </reference>
		<reference numeration="84" content_type="text"> Siebesma, A P. and Cuijpers, J. W M.: Evaluation of parametric assumptions for shallow cumulus convection, J. Atmos. Sci., 52, 650–666, \doi10.1175/1520-0469(1995)052&amp;lt;0650:EOPAFS&amp;gt;2.0.CO;2, 1995. </reference>
		<reference numeration="85" content_type="text"> Siebesma, A P. and Jonker, H. J J.: Anomalous scaling of cumulus cloud boundaries, Phys. Rev. Lett., 85, 214–217, \doi10.1103/PhysRevLett.85.214, 2000. </reference>
		<reference numeration="86" content_type="text"> Siebesma, A P., Bretherton, C S., Brown, A., Chlond, A., Cuxart, J., Duynkerke, P G., Jiang, H L., Khairoutdinov, M., Lewellen, D., Moeng, C H., Sanchez, E., Stevens, B., and Stevens, D E.: A large eddy simulation intercomparison study of shallow cumulus convection, J. Atmos. Sci., 60, 1201–1219, \doi10.1175/1520-0469(2003)60&amp;lt;1201:ALESIS&amp;gt;2.0.CO;2, 2003. </reference>
		<reference numeration="87" content_type="text"> Simpson, J. and Wiggert, V.: Models of precipitating cumulus towers, Mon. Weather Rev., 97, 471–489, \doi10.1175/1520-0493(1969)097&amp;lt;0471:MOPCT&amp;gt;2.3.CO;2, 1969. </reference>
		<reference numeration="88" content_type="text"> Smagorinsky, J.: General circulation experiments with the primitive equations: I. The basic equations, Mon. Weather Rev., 91, 99–164, \doi10.1175/1520-0493(1963)091&amp;lt;0099:GCEWTP&amp;gt;2.3.CO;2, 1963. </reference>
		<reference numeration="89" content_type="text"> Sommeria, G.: Three-dimensional simulation of turbulent processes in an undisturbed trade-wind boundary layer, J. Atmos. Sci., 33, 216–241, \doi10.1175/1520-0469(1976)033&amp;lt;0216:TDSOTP&amp;gt;2.0.CO;2, 1976. </reference>
		<reference numeration="90" content_type="text"> Sommeria, G. and Deardorff, J W.: Subgrid-scale condensation in models of non-precipitating clouds, J. Atmos. Sci., 34, 344–355, \doi10.1175/1520-0469(1977)034&amp;lt;0344:SSCIMO&amp;gt;2.0.CO;2, 1977. </reference>
		<reference numeration="91" content_type="text"> Stephens, G L.: The parameterization of radiation for numerical weather prediction and climate models, Mon. Weather Rev., 112, 826–867, \doi10.1175/1520-0493(1984)112&amp;lt;0826:TPORFN&amp;gt;2.0.CO;2, 1984. </reference>
		<reference numeration="92" content_type="text"> Stevens, B.: Entrainment in stratocumulus-topped mixed layers, Q. J. Roy. Meteor. Soc., 128, 2663–2690, \doi10.1256/qj.01.202, 2002. </reference>
		<reference numeration="93" content_type="text"> Stevens, B. and Seifert, A.: Understanding macrophysical outcomes of microphysical choices in simulations of shallow cumulus convection, J. Meteor. Soc. Japan, 86a, 143–162, \doi10.2151/jmsj.86A.143, 2008. </reference>
		<reference numeration="94" content_type="text"> Stevens, B., Ackerman, A S., Albrecht, B A., Brown, A R., Chlond, A., Cuxart, J., Duynkerke, P G., Lewellen, D C., MacVean, M K., Neggers, R. A J., Sanchez, E., Siebesma, A P., and Stevens, D E.: Simulations of trade wind cumuli under a strong inversion, J. Atmos. Sci., 58, 1870–1891, \doi10.1175/1520-0469(2001)058&amp;lt;1870:SOTWCU&amp;gt;2.0.CO;2, 2001. </reference>
		<reference numeration="95" content_type="text"> Stevens, B., Moeng, C H., Ackerman, A S., Bretherton, C S., Chlond, A., De Roode, S., Edwards, J., Golaz, J C., Jiang, H L., Khairoutdinov, M., Kirkpatrick, M P., Lewellen, D C., Lock, A., Muller, F., Stevens, D E., Whelan, E., and Zhu, P.: Evaluation of large-Eddy simulations via observations of nocturnal marine stratocumulus, Mon. Weather Rev., 133, 1443–1462, \doi10.1175/MWR2930.1, 2005. </reference>
		<reference numeration="96" content_type="text"> Sullivan, P P., Moeng, C.-H., Stevens, B., Lenschow, D H., and Mayor, S D.: Structure of the entrainmentzone capping the convective atmospheric boundary layer, J. Atmos. Sci., 55, 3042–3064, \doi10.1175/1520-0469(1998)055&amp;lt;3042:SOTEZC&amp;gt;2.0.CO;2, 1998. </reference>
		<reference numeration="97" content_type="text"> Thomson, D J.: Criteria for the selection of stochastic models of particle trajectories in turbulent flows, J. Fluid Mech., 180, 529–556, \doi10.1017/S0022112087001940, 1987. </reference>
		<reference numeration="98" content_type="text"> van Heerwaarden, C C. and Vilà-Guerau de Arellano, J.: Relative humidity as an indicator for cloud formation over heterogeneous land surfaces, J. Atmos. Sci., 65, 3263–3277, \doi10.1175/2008JAS2591.1, 2008. </reference>
		<reference numeration="99" content_type="text"> van Zanten, M C., Stevens, B., Siebesma, A. P., et~al.: RICO Intercomparison, in preparation, 2010. </reference>
		<reference numeration="100" content_type="text"> Verwer, J G.: Gauss seidel iterations for stiff nodes from chemical kinetics, J. Sci. Comput., 15, 1243–1250, 1994. </reference>
		<reference numeration="101" content_type="text"> Verwer, J G. and Simpson, D.: Explicit methods for stiff ODEs from atmosperic chemistry, Applied Numerical Mathematics, 18, 413–430, \doi10.1016/0168-9274(95)00068-6, 1995. </reference>
		<reference numeration="102" content_type="text"> Verzijlbergh, R. A., Jonker, H. J. J., Heus, T., and Vilà-Guerau de Arellano, J.: Turbulent dispersion in cloud-topped boundary layers, Atmos. Chem. Phys., 9, 1289–1302, 2009. </reference>
		<reference numeration="103" content_type="text"> Vilà-Guerau de Arellano, J. and Cuijpers, J. W M.: The chemistry of a dry cloud: the effects of radiation and turbulence, J. Atmos. Sci., 57, 1573–1584, \doi10.1175/1520-0469(2000)057&amp;lt;1573:TCOADC&amp;gt;2.0.CO;2, 2000. </reference>
		<reference numeration="104" content_type="text"> Vilà-Guerau de Arellano, J., Dosio, A., Vinuesa, J F., Holtslag, A. A M., and Galmarini, S.: The dispersion of chemically reactive species in the atmospheric boundary layer, Meteor. Atmos. Phys., 87, 23–38, \doi10.1007/s00703-003-0059-2, 2004. </reference>
		<reference numeration="105" content_type="text"> Vilà-Guerau de Arellano, J., Kim, S.-W., Barth, M. C., and Patton, E. G.: Transport and chemical transformations influenced by shallow cumulus over land, Atmos. Chem. Phys., 5, 3219–3231, 2005. </reference>
		<reference numeration="106" content_type="text"> Vilà-Guerau de Arellano, J., van den Dries, K., and Pino, D.: On inferring isoprene emission surface flux from atmospheric boundary layer concentration measurements, Atmos. Chem. Phys., 9, 3629–3640, 2009. </reference>
		<reference numeration="107" content_type="text"> Vinuesa, J F. and Vilà-Guerau de Arellano, J.: Fluxes and (co-)variances of reacting scalars in the convective boundary layer, Tellus B, 55, 935–949, \doi10.1046/j.1435-6935.2003.00073.x, 2003. </reference>
		<reference numeration="108" content_type="text"> Vinuesa, J F. and Vilà-Guerau de Arellano, J.: Introducing effective reaction rates to account for the inefficient mixing in the convective boundary layer, Atmos. Environ., 39, 445–461, \doi10.1016/j.atmosenv.2004.10.003, 2005. </reference>
		<reference numeration="109" content_type="text"> Weil, J C., Sullivan, P P., and Moeng, C H.: The use of large-eddy simulations in Lagrangian particle dispersion models, J. Atmos. Sci., 61, 2877–2887, \doi10.1175/JAS-3302.1, 2004. </reference>
		<reference numeration="110" content_type="text"> Wesseling, P.: Von Neumann stability conditions for the convection-diffusion equation, IMA J. Num. Anal., 16, 583–598, \doi10.1093/imanum/16.4.583, 1996. </reference>
		<reference numeration="111" content_type="text"> Wicker, L J. and Skamarock, W C.: Time-splitting methods for elastic models using forward time schemes, Mon. Weather Rev., 130, 2088–2097, \doi10.1175/1520-0493(2002)130&amp;lt;2088:TSMFEM&amp;gt;2.0.CO;2, 2002. </reference>
		<reference numeration="112" content_type="text"> Yaglom, A M.: Comments on wind and temperature flux-profile relationships, Bound.-Lay. Meteorol., 11, 89–102, \doi10.1007/BF00221826, 1977. </reference>
	</references>
</article>
