Editorial Type:
Article
Article Type:
Research Article

Two- and Four-Stream Combination Approximations for Computation of Diffuse Actinic Fluxes

Hua Zhang National Climate Center, China Meteorological Administration, Beijing, China

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Feng Zhang Chinese Academy of Meteorological Sciences, Beijing, China

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Qiang Fu Department of Atmospheric Sciences, University of Washington, Seattle, Washington

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Zhongping Shen Shanghai Climate Center, Shanghai, China

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Peng Lu Chinese Academy of Meteorological Sciences, Beijing, China

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Print Publication:
01 Oct 2010
DOI:
https://doi.org/10.1175/2010JAS3370.1
Page(s):
3238–3252
Restricted access

Abstract

The δ-two- and four-stream combination approximations, which use a source function from the two-stream approximations and evaluate intensities in the four-stream directions, are formulated for the calculation of diffuse actinic fluxes. The accuracy and efficiency of the three computational techniques—the δ-two-stream approximations, the δ-two- and four-stream combination approximations based on various two-stream approaches, and the δ-four-stream approximation—have been investigated. The diffuse actinic fluxes are examined by considering molecular, aerosol, haze, and cloud scattering over a wide range of solar zenith angles, optical depths, and surface albedos. In view of the overall accuracy and computational efficiency, the δ-two- and four-stream combination method based on the quadrature scheme appears to be well suited to radiative transfer calculations involving photodissociation processes.

Corresponding author address: Prof. Hua Zhang, National Climate Center, Beijing 100081, China. Email: huazhang@cma.gov.cn

Abstract

The δ-two- and four-stream combination approximations, which use a source function from the two-stream approximations and evaluate intensities in the four-stream directions, are formulated for the calculation of diffuse actinic fluxes. The accuracy and efficiency of the three computational techniques—the δ-two-stream approximations, the δ-two- and four-stream combination approximations based on various two-stream approaches, and the δ-four-stream approximation—have been investigated. The diffuse actinic fluxes are examined by considering molecular, aerosol, haze, and cloud scattering over a wide range of solar zenith angles, optical depths, and surface albedos. In view of the overall accuracy and computational efficiency, the δ-two- and four-stream combination method based on the quadrature scheme appears to be well suited to radiative transfer calculations involving photodissociation processes.

Corresponding author address: Prof. Hua Zhang, National Climate Center, Beijing 100081, China. Email: huazhang@cma.gov.cn

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