The Delta-Eddington Approximation for a Vertically Inhomogeneous Atmosphere

The delta-Eddington approximation of Joseph, Wiscombe, and Weinman (1976) is extended to an atmosphere divided up by internal levels into homogeneous layers. Flux continuity is enforced at each level, leading, as the mathematical essence of the problem, to a penta-diagonal system of linear equations for certain unknown constants. Fluxes (up, direct down, diffuse down, and net) are then predicted at each level. Unphysical results of the model are examined in detail. Potential numerical instabilities in the solution are noted and corrected, and an extremely fast, well-documented computer code resulting from this analysis is described and listed. Actual computed fluxes are given for several test problems.

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Author Wiscombe, Warren
Publisher UCAR/NCAR - Library
Publication Date 1977-01-01T00:00:00
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Topic Category geoscientificInformation
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Metadata Date 2023-08-18T18:03:18.679473
Metadata Record Identifier edu.ucar.opensky::technotes:215
Metadata Language eng; USA
Suggested Citation Wiscombe, Warren. (1977). The Delta-Eddington Approximation for a Vertically Inhomogeneous Atmosphere. UCAR/NCAR - Library. http://n2t.net/ark:/85065/d7vx0fw7. Accessed 24 April 2024.

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