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Clouds in observations are fractals: they show self‐similarity across scales ranging from 1 to 1,000 km. This includes individual storms and large‐scale cloud structures typical of organized convection. It is not known whether global storm‐resolving models reproduce the observed fractal scaling laws for clouds and organized convection. We compute the fractal dimension of clouds using Himawari satellite data and compare this to global storm‐resolving model simulations completed as part of the DYAMOND intercomparison project. We find cloud fields in these simulations are indeed fractal, and reproduce the observed fractal dimension to within 10%. We find the fractal dimension is sensitive to the choice of boundary layer parametrization scheme used in each model simulation, and not to the convection parametrization as might have been expected.
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Christensen et al. (2021) studied this question.
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