AbstractBased on the unified formulation, the so-called Hemisphere Harmonic Method of radiative transfer with four components (HSHM4) is derived following the general procedure described in the first paper. The numerical results of this method, including the flux reflections, transmissions, and absorptions for different optical depths, incident beam angles and single scattering albedos, and the emissions for different optical depths and single scattering albedos are reported, in comparison with the results of the DISORT model with 128 streams as a benchmark. The application of the method to radiation scheme for climate models is illustrated with the numerical results, including the heating rate profiles for the short- and long-wave radiation, radiative fluxes at the top and the bottom boundaries of the atmospheres, and the actinic flux profiles, for typical model atmospheres of the earth and different clear/cloudy conditions. The comparison of results with those of the discrete ordinate methods (DOM) and the spherical harmonic method (SHM) with four components, shows the HSHM4 has comparable accuracy with the fourstream DOM with double-Gaussian quadrature and is more accurate than the four-stream SHM and the four-stream DOM with full-range Gaussian quadrature in general, especially in the cases of long-wave radiation when the multiple scattering effect should be accounted for. The HSHM4 can be deployed consistently to all of the bands without artificial division between the longand short-wave. The development and validation of the HSHM4 exhibit the usefulness of the unified formulation in the studies of atmospheric radiative transfer.
Journal of the Atmospheric Sciences – American Meteorological Society
Published: Sep 21, 2017
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