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Stephan Rasp, Tobias Selz, and George C. Craig

second moment can be expressed in terms of the normalized variance or in terms of the unnormalized standard deviation b. Previous tests of the CC06 theory So far, few studies have directly tested the assumptions and predictions of CC06. Cohen and Craig (2006) used a convection-permitting model in a radiative–convective equilibrium setup with different large-scale forcing and vertical wind shear strengths and found that p ( m ) was well approximated by an exponential distribution for all settings

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Tobias Selz

background spectrum and thus likely involve a climatological component. For example, orography and the land–sea distribution may hinder the largest planetary waves from freely evolving. In addition the ICON simulations have fixed sea surface temperatures. d. Comparison to simulations with a deterministic convection scheme A second set of simulations has been performed using the ICON model but this time in its standard setup with the deterministic TB convection scheme ( Bechtold et al. 2001 ). With this

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Tobias Selz, Lucas Fischer, and George C. Craig

. 1999 ), increasing exponents with height ( Tjemkes and Visser 1994 ; Kahn et al. 2011 ), boundary layer versus free troposphere ( Cho et al. 2000 ; Pressel and Collins 2012 ), and anisotropic scaling ( Lovejoy et al. 2010 ). The implications of the different observed exponents for the existence of universal power laws are not clear, since the data used in each case are limited, and the results may not be comparable. It is, however, interesting to consider whether distinct physical mechanisms may

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Kirstin Kober and George C. Craig

of moisture and temperature in the atmosphere determines the amount of CAPE and is influenced by several processes, especially in the atmospheric boundary layer. Soil type, land use, orography, and elevation are important because they define properties of the interaction between the land surface and the atmosphere. Several processes contribute to create variability in a convective boundary layer. The heating of surfaces with different heat conduction properties by the sun causes turbulent eddies

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