Solutions of Chandrasekhar's basic problem in radiative transfer via theory of functional connection

被引：23

作者：

De Florio, Mario ^{[1
]}

Schiassi, Enrico ^{[1
]}

Furfaro, Roberto ^{[1
,2
]}

Ganapol, Barry D. ^{[2
]}

Mostacci, Domiziano ^{[3
]}

机构：

[1] Univ Arizona, Dept Syst & Ind Engn, 1127 E James Rogers Way, Tucson, AZ 85721 USA

[2] Univ Arizona, Dept Aerosp & Mech Engn, Tucson, AZ USA

[3] Univ Bologna, Lab Ingn Nucl Montecuccolino, Alma Mater Studiorum, Bologna, Italy

来源：

JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER | 2021年 / 259卷

关键词：

Transport theory; Radiative transfer; Theory of functional connections; Mie scattering; Haze L problem; Least-squares; DISCRETE-ORDINATES SOLUTION; COLLOCATION SPECTRAL METHOD; FN METHOD; PARTICLE-TRANSPORT; TRANSFER EQUATION; PN METHOD; POLARIZATION; APPROXIMATION;

D O I：

10.1016/j.jqsrt.2020.107384

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

We present a novel approach to solving Chandrasekhar's problem in radiative transfer using the recently developed Theory of Functional Connections. The method is designed to elegantly and accurately solve the Linear Boundary Value Problem from the angular discretization of the integrodifferential Boltzmann equation for Radiative Transfer. The proposed algorithm falls under the category of numerical methods for the solution of radiative transfer equations. This new method's accuracy is tested via comparison with the published benchmarks for Mie and Haze L scattering laws. (C) 2020 Published by Elsevier Ltd.

引用

页数：16

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