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A fast method for calculating scale‐dependent photochemical acceleration in dynamical models of the stratosphere
Author(s) -
Haigh J. D.
Publication year - 1985
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.49711147007
Subject(s) - stratosphere , acceleration , matrix (chemical analysis) , relaxation (psychology) , scale (ratio) , physics , computational physics , environmental science , atmospheric sciences , thermodynamics , chemistry , classical mechanics , quantum mechanics , psychology , social psychology , chromatography
It is shown that photochemical acceleration of the thermal relaxation rate in the stratosphere may be expressed as a matrix multiplication between a square matrix, which may be calculated for quite general conditions, and a vector representing the deviation of temperature from an equilibrium profile. Such a matrix is presented and its form discussed. Use of this matrix allows for temperature perturbations of any vertical scale and thus provides an accurate, as well as fast, method for calculating photochemical acceleration suitable for use in numerical models of stratospheric dynamics. the inclusion of the ozone 9.6 m̈m band into the heating rate calculations is shown to reduce the photochemical relaxation rate in the upper stratosphere.