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

1977 ◽  
Vol 17 (6) ◽  
pp. 783-793 ◽  
Author(s):  
Hsiao-Hua K. Burke ◽  
Nien Dak Sze
Keyword(s):  
Radiative Transfer ◽  
Discrete Ordinate ◽  
Transfer Problems

scholarly journals Linearizations of the Spherical Harmonic Discrete Ordinate Method (SHDOM)

Atmosphere ◽  
2019 ◽  
Vol 10 (6) ◽  
pp. 292 ◽  
Author(s):  
Adrian Doicu ◽  
Dmitry S. Efremenko
Keyword(s):  
Radiative Transfer ◽  
Spherical Harmonics ◽  
Spherical Harmonic ◽  
Adaptive Grid ◽  
Test Problems ◽  
Discrete Ordinate Method ◽  
Discrete Ordinate ◽  
Adjoint Approach ◽  
Transfer Problems

Linearizations of the spherical harmonic discrete ordinate method (SHDOM) by means of a forward and a forward-adjoint approach are presented. Essentially, SHDOM is specialized for derivative calculations and radiative transfer problems involving the delta-M approximation, the TMS correction, and the adaptive grid splitting, while practical formulas for computing the derivatives in the spherical harmonics space are derived. The accuracies and efficiencies of the proposed methods are analyzed for several test problems.

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