Modifications of discrete ordinate method for computations with high scattering anisotropy: Comparative analysis

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https://www.sciencedirect.com/science/article/pii/S0022407312003561

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https://doi.org/10.1016/j.jqsrt.2012.07.022
 http://hdl.handle.net/11603/35934

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https://orcid.org/0000-0001-6514-5233

Date

2012-07-27

Type of Work

journal articles
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Citation of Original Publication

Korkin, Sergey V., Alexei I. Lyapustin, and Vladimir V. Rozanov. “Modifications of Discrete Ordinate Method for Computations with High Scattering Anisotropy: Comparative Analysis.” Journal of Quantitative Spectroscopy and Radiative Transfer 113, no. 16 (November 1, 2012): 2040–48. https://doi.org/10.1016/j.jqsrt.2012.07.022.

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This work was written as part of one of the author's official duties as an Employee of the United States Government and is therefore a work of the United States Government. In accordance with 17 U.S.C. 105, no copyright protection is available for such works under U.S. Law.
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Subjects

Radiative transfer algorithms
Discrete ordinate method
Anisotropic part
Large particles

Abstract

A numerical accuracy analysis of the radiative transfer equation (RTE) solution based on separation of the diffuse light field into anisotropic and smooth parts is presented. The analysis uses three different algorithms based on the discrete ordinate method (DOM). Two methods, DOMAS and DOM2+, that do not use the truncation of the phase function, are compared against the TMS-method. DOMAS and DOM2+ use the Small-Angle Modification of RTE and the single scattering term, respectively, as anisotropic parts. The TMS method uses the Delta-M method for truncation of the phase function along with the single scattering correction. For reference, a standard discrete ordinate method, DOM, is also included in analysis. The obtained results for cases with high scattering anisotropy show that at low number of streams (16, 32) only DOMAS provides an accurate solution in the aureole area. Outside aureole, the convergence and accuracy of DOMAS, and TMS is found to be approximately similar: DOMAS was found more accurate in cases with coarse aerosol and liquid water cloud models, except low optical depth, while the TMS showed better results in case of ice cloud.