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Gaussian Quadrature and Its Application to Infrared Radiation
Publisher: American Meteorological Society
Abstract: The Gaussian integration of moments is systematically discussed. It is shown that the well-known diffusivity-factor approximation is equivalent to a one-node Gaussian quadrature. The limit as the moment power approaches ...
Accounting for Unresolved Clouds in a 1D Infrared Radiative Transfer Model. Part I: Solution for Radiative Transfer, Including Cloud Scattering and Overlap
Publisher: American Meteorological Society
Abstract: Various aspects of infrared radiative transfer through clouds are investigated. First, three solutions to the IR radiative transfer equation are presented and assessed, each corresponding to a different approximation for ...
On the Fractional Scattering into the Forward Peak
Publisher: American Meteorological Society
Abstract: A hypothesis that the fractional scattering into the forward peak is related to solar zenith angle and single scattering albedo is proposed. Calculations show that this assumption can increase the accuracy of the δ-Eddington ...
Entropy in Climate Models. Part II: Horizontal Structure of Atmospheric Entropy Production
Publisher: American Meteorological Society
Abstract: The global horizontal structure of atmospheric entropy has been investigated. In energy balance models, the horizontal distribution of the atmospheric internal entropy production rate has been obtained. Based on the entropy ...
Four-Stream Spherical Harmonic Expansion Approximation for Solar Radiative Transfer
Publisher: American Meteorological Society
Abstract: This paper presents a four-stream extension of the δ-Eddington approximation by considering the higher-order spherical harmonic expansion in radiative intensity. By using the orthogonality relation of the spherical harmonic ...
Absorption Approximation with Scattering Effect for Infrared Radiation
Publisher: American Meteorological Society
Abstract: A scheme that can handle cloud infrared scattering based on the absorption approximation is developed. In a two-stream mode, the new scheme produces more accurate results than those from the modified two-stream discrete ...
On the Effective Solar Pathlength
Publisher: American Meteorological Society
Abstract: The effects of atmospheric spherical curvature and refraction and their impact on radiative transfer have been studied. It is shown that formulas employed in GCMs for atmospheric curvature and refraction underestimate the ...
Parameterization of the Optical Properties of Sulfate Aerosols in the Infrared
Publisher: American Meteorological Society
Abstract: Parameterizations of absorptance depth for ammonium sulfate [(NH4)2SO4], ammonium bisulfate (NH4HSO4), and sulfuric acid (H2SO4) in the infrared are provided for an eight-band model (covering 340?2500 cm?1) and for 32 ...
The Continuity Equation for the Stratospheric Aerosol and Its Characteristic Curves
Publisher: American Meteorological Society
Abstract: A four-dimensional continuity equation for particles undergoing growth process in the atmosphere is introduced. It is applied to the stratospheric aerosol in the simplified case of two dimensions under the assumption of ...