Extension of the weak-line approximation and application to correlated-k methods

Conley, A. J. and Collins, W. D. ORCID: https://orcid.org/0000-0002-4463-9848 (2011) Extension of the weak-line approximation and application to correlated-k methods. Journal of Quantitative Spectroscopy and Radiative Transfer, 112 (10). pp. 1525-1532. ISSN 0022-4073

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Abstract

Global climate models require accurate and rapid computation of the radiative transfer through the atmosphere. Correlated-k methods are often used. One of the approximations used in correlated-k models is the weak-line approximation. We introduce an approximation Tγ which reduces to the weak-line limit when optical depths are small, and captures the deviation from the weak-line limit as the extinction deviates from the weak-line limit. This approximation is constructed to match the first two moments of the gamma distribution to the k-distribution of the transmission. We compare the errors of the weak-line approximation with Tγ in the context of a water vapor spectrum. The extension Tγ is more accurate and converges more rapidly than the weak-line approximation.

Item Type:	Article
Uncontrolled Keywords:	band model,correlated-k method,laplace transform,radiative transfer,weak-line approximation,radiation,atomic and molecular physics, and optics,spectroscopy,sdg 13 - climate action ,/dk/atira/pure/subjectarea/asjc/3100/3108
Faculty \ School:	Faculty of Science > School of Environmental Sciences
Related URLs:	https://www.scopus.com/pages/publication...
Depositing User:	LivePure Connector
Date Deposited:	07 Jul 2026 10:43
Last Modified:	12 Jul 2026 23:03
URI:	https://ueaeprints.uea.ac.uk/id/eprint/103705
DOI:	10.1016/j.jqsrt.2011.02.008

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