Statistics – Computation
Scientific paper
Feb 1996
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1996jqsrt..55..195k&link_type=abstract
Journal of Quantitative Spectroscopy and Radiative Transfer, vol. 55, issue 2, pp. 195-213
Statistics
Computation
5
Radiative Transfer: Numerical Methods
Scientific paper
The present paper presents the Picard Iterative (PI) algorithm for the solution of the 3-D radiative transfer equation (RTE). The method is based on the integral equation form of the RTE. Results presented demonstrate that the PI technique provides a high degree of accuracy, converges in a small number of iterations, accommodates inhomogeneous cloud optical parameters, and naturally incorporates a wide variety of boundary conditions. In particular, periodic boundary conditions facilitate the computation of cloud field radiance patterns involving a repeated array of cells containing one or more clouds. The use of the δ-function approximation significantly reduces the computer memory requirements and associated run times for scattering phase functions which are moderately to highly peaked. Results are obtained and compared with the Discrete Ordinate 1-D homogeneous slab.
Cox Stephen K.
Kuo Kwo-Sen
Weger Ronald C.
Welch Ronald M.
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