Spectral spherical harmonics discrete ordinate method. (January 2021)

• Record Type: Journal Article
• Authors: Doicu, Adrian; Mishchenko, Michael I.; Efremenko, Dmitry S.; Trautmann, Thomas
• Is Part Of: Journal of quantitative spectroscopy & radiative transfer. Volume 258(2021)
• Publication Date: 2021-01
• Subjects: SHDOM -- Gaussian beam -- three-dimensional radiative trasnfer models; Spectrum analysis -- Periodicals; Radiation -- Periodicals; Analyse spectrale -- Périodiques; Rayonnement -- Périodiques; Radiation; Spectrum analysis; Periodicals; 543.0858
• DOI: 10.1016/j.jqsrt.2020.107386
• Languages: English
• ISSNs: 0022-4073

Abstract

Highlights: Radiative transfer in inhomogeneous three-dimensional media. Spectral method for solving the radiative transfer equation. Spherical harmonics discrete ordinate method. Abstract: A new method for modeling the radiative transfer in inhomogeneous three-dimensional media illuminated by a Gaussian beam is described. This approach, called the Spectral Spherical Harmonics Discrete Ordinate Method (SSHDOM), uses the Fourier expansion method to transform the three-dimensional radiative transfer into an one-dimensional equation in the spectral domain, and the Spherical Harmonics Discrete Ordinate Method (SHDOM) for its solution. Specifically, (i) the source function is represented in the spectral domain through a spherical harmonic expansion, (ii) the spectral one-dimensional radiative transfer equation is integrated along discrete ordinates through a spatial grid, and (iii) the solution method is based on the Picard iteration. Both SSHDOM and SHDOM algorithms are implemented in a common computer code.