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A proposal of moist turbulence closure scheme, and the rationalization of Arakawa-Schubert cumulus parameterization

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Summary

Subgrid-scale parameterization related to moist process are discussed. In the first half of the paper, a turbulence closure scheme, including the effect of condensation, is proposed. In this parameterization, the subgrid-scale transfer is limited within a single vertical layer of a model per each time step, and the specification of condensation is of yes-or-no type. Therefore, the scheme is suited for a mesoscale circulation model.

In the second half of this paper, the bounded derivative method of Kreiss (1980) is applied to the formulation of parameterizations. One example is the derivation of various hierarchial versions in turbulence closure schemes, such as Mellor and Yamada (1974). Another example is an interpretation of the key assumption in Arakawa-Schubert (1974) theory of cumulus convection, i.e., the equilibrium of “cloud-work function”.

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  1. K. Miyakoda & J. Sirutis

    Present address: Geophysical Fluid Dynamics Laboratory, National Oceanic and Atmospheric Administration, Princeton University, 08542, Princeton, New Jersey, U.S.A.

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    1. K. Miyakoda
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    Miyakoda, K., Sirutis, J. A proposal of moist turbulence closure scheme, and the rationalization of Arakawa-Schubert cumulus parameterization. Meteorl. Atmos. Phys. 40, 110–122 (1989). https://doi.org/10.1007/BF01027470

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    • DOI: https://doi.org/10.1007/BF01027470

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