A comparison of variational and discrete ordinate methods for solving radiative transfer problems

Details A comparison of variational and discrete ordinate methods for solving radiative transfer problems A comparison of variational and discrete ordinate methods for solving radiative transfer problems

Jun 1977

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1977jqsrt..17..783b&link_type=abstract

Journal of Quantitative Spectroscopy and Radiative Transfer, vol. 17, June 1977, p. 783-793.

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Computation

1

Albedo, Atmospheric Models, Clouds (Meteorology), Optical Thickness, Radiative Heat Transfer, Variational Principles, Algorithms, Atmospheric Scattering, Error Analysis, Integral Equations, Iterative Solution

Scientific paper

This paper compares the variational and discrete ordinate methods applied to their simplest representative cases: the two-step function variational method and the two-stream approach. It is shown that both methods require minimal computational time. Numerical results obtained by the two methods for the source functions, intensities, and fluxes in the problem of diffuse reflection by different plane-parallel isotropic atmospheres are compared. Limitations of both approaches for different single-scattering albedos and optical depths are discussed. It is shown that the variational technique is a more efficient algorithm in handling multilayer cloud conditions for radiative-transfer problems.

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