N-stream approximations to radiative transfer

Details N-stream approximations to radiative transfer N-stream approximations to radiative transfer

Jul 1981

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981jats...38.1446a&link_type=abstract

Journal of the Atmospheric Sciences, vol. 38, July 1981, p. 1446-1451. Army-supported research;

Other

4

Approximation, Atmospheric Models, Planetary Atmospheres, Radiative Transfer, Two Fluid Models, Azimuth, Chandrasekhar Equation, Differential Equations, Integral Equations

Scientific paper

Schuster's two-stream approximation (1905) is first derived from Chandrasekhar's radiative transfer equation (1950), and then extended to an arbitrary number of streams. The resulting technique for solving the transfer function similar to the discrete ordinate and spherical harmonic methods, is useful for modeling atmospheres with complicated phase functions and moderate optical depths. The resulting n coupled linear differential equations are simple and consume less computer time than other approximations, yet have the same required accuracy. The approximation is also flexible with respect to the choice of patch functions, and no approximations are made on the form of the phase function, other than its expansion into Legendre polynomials. A four-stream approximation is evaluated for a Henyey-Greenstein phase function with an asymmetry factor equal to 0.5.

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