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A three‐parameter model of the atmosphere suitable for numerical integration
Author(s) -
Bushby F. H.,
Whitelam Clare J.
Publication year - 1961
Publication title -
quarterly journal of the royal meteorological society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.744
H-Index - 143
eISSN - 1477-870X
pISSN - 0035-9009
DOI - 10.1002/qj.49708737309
Subject(s) - troposphere , atmosphere (unit) , extension (predicate logic) , primitive equations , mathematics , algebraic equation , equations of motion , atmospheric model , partial differential equation , ordinary differential equation , motion (physics) , differential equation , meteorology , mathematical analysis , computer science , physics , numerical partial differential equations , classical mechanics , nonlinear system , quantum mechanics , programming language
Subject to various approximations, a system of five simultaneous equations (three partial differential equations and two algebraic equations) is derived to predict the height of three contour surfaces corresponding to the bottom, middle and top of the troposphere and to evaluate the two fields of vertical motion corresponding to the upper and lower halves of the troposphere. The atmospheric model used is an extension of the two‐parameter model proposed by Sawyer and Bushby (1953). Numerical integrations have been carried out for 20 cases and the results are given in statistical form. Two forecasts are illustrated with diagrams. The accuracy is better than that obtained with the two‐parameter model, and the forecasts are of the same standard as those produced by conventional methods.