Comparison of Daily Averaged Reflection, Transmission, and Absorption for Selected Radiative Flux Transfer Approximations

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  • 1 Department of Earth and Planetary Sciences, The Johns Hopkins University, Baltimore, Maryland
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Abstract

This paper compares accuracy for the daily averaged reflection, transmission, and absorption of solar flux derived from the delta-four-stream approximation and a few selected two-stream approximations. In the chosen variety of two-stream approximations, a two-stream approximation suggested by Zhu produces the most accurate reflection and transmission for conservative scattering with optical thickness τ1 < 3. Otherwise, the delta–Eddinton approximation is superior to other two-stream approximations. The delta-four-stream approximation produces errors that are smaller than the delta-Eddington approximation by at least a factor of 2.

Abstract

This paper compares accuracy for the daily averaged reflection, transmission, and absorption of solar flux derived from the delta-four-stream approximation and a few selected two-stream approximations. In the chosen variety of two-stream approximations, a two-stream approximation suggested by Zhu produces the most accurate reflection and transmission for conservative scattering with optical thickness τ1 < 3. Otherwise, the delta–Eddinton approximation is superior to other two-stream approximations. The delta-four-stream approximation produces errors that are smaller than the delta-Eddington approximation by at least a factor of 2.

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