Abstract
Abstract. Statistical properties are investigated for the stochastic model of eddy hopping, which is a novel cloud microphysical model that accounts for the effect of the supersaturation fluctuation at unresolved scales on the growth of cloud droplets and on spectral broadening. Two versions of the model, the original version by Grabowski and Abade (2017) and the second version by Abade et al. (2018), are considered and validated against the reference data taken from direct numerical simulations and large-eddy simulations (LESs). It is shown that the original version fails to reproduce a proper scaling for a certain range of parameters, resulting in a deviation of the model prediction from the reference data, while the second version successfully reproduces the proper scaling. In addition, a possible simplification of the model is discussed, which reduces the number of model variables while keeping the statistical properties almost unchanged in the typical parameter range for the model implementation in the LES Lagrangian cloud model.
Highlights
The purpose of the present paper is to investigate the statistical properties of the stochastic model of eddy hopping proposed by Grabowski and Abade (2017)
Cloud droplets arriving at a given location follow different trajectories and experience different growth histories, which leads to significant spectral broadening
The purpose of the present paper was to obtain various statistical properties of the eddy-hopping model, a novel cloud microphysical model, which accounts for the effect of the supersaturation fluctuation at unresolved scales on the growth of cloud droplets and on spectral broadening
Summary
The purpose of the present paper is to investigate the statistical properties of the stochastic model of eddy hopping proposed by Grabowski and Abade (2017) This stochastic model, referred to hereinafter as the eddy-hopping model, was developed in order to account for the effect of the supersaturation fluctuation at unresolved (subgrid) scales on the growth of cloud droplets by the condensation process. Cloud droplets arriving at a given location follow different trajectories and experience different growth histories, which leads to significant spectral broadening This mechanism, referred to as the stochastic condensation theory, has been investigated since the early 1960s by a number of researchers (mostly Russian; see Sedunov, 1974; Clark and Hall, 1979; Korolev and Mazin, 2003), but the importance of this mechanism was later reinforced by Cooper (1989) and Lasher-Trapp et al (2005).
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