Numerical Methods Used in Cloud Models

Alexander P. Khain; Mark Pinsky

doi:10.1017/9781139049481.005

4 - Numerical Methods Used in Cloud Models

Published online by Cambridge University Press: 22 August 2018

Alexander P. Khain and

Mark Pinsky

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Alexander P. Khain: Affiliation:
Hebrew University of Jerusalem
Mark Pinsky: Affiliation:
Hebrew University of Jerusalem

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Summary

Numerical methods applied in atmospheric models in general and in cloud models in particular are described in several books (Marchuk, 1974, 1980; Pielke, 2013; Mesinger and Arakawa, 1976; Durran, 2010). In this chapter we present only a brief overview of the main concepts and approaches. The pivot element of a numerical method is a system of averaged equations that describes several basic processes, among them advection of various quantities by a background wind, diffusion, gravity-inertial waves caused by the interaction of fields of pressure, and velocity in the presence of the Coriolis force, etc. (Sections 4.4 and 4.5). With the help of the splitting-up method (Marchuk, 1974, 1980; Temam, 1977), these processes can be treated successively at each time step, so the solution obtained for one process is used as the initial condition for solving the equations describing the next process. This allows for performing numerical treatment of each particular physical process separately.

Type: Chapter
Information: Physical Processes in Clouds and Cloud Modeling , pp. 122 - 150

DOI: https://doi.org/10.1017/9781139049481.005 [Opens in a new window]

Publisher: Cambridge University Press

Print publication year: 2018

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