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

Mario De Florio; Enrico Schiassi; Roberto Furfaro; Barry D. Ganapol; Domiziano Mostacci

doi:10.1016/j.jqsrt.2020.107384

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

Mario De Florio, Enrico Schiassi, Roberto Furfaro, Barry D. Ganapol, Domiziano Mostacci

Research output: Contribution to journal › Article › peer-review

19 Scopus citations

Abstract

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.

Original language	English (US)
Article number	107384
Journal	Journal of Quantitative Spectroscopy and Radiative Transfer
Volume	259
DOIs	https://doi.org/10.1016/j.jqsrt.2020.107384
State	Published - Jan 2021
Externally published	Yes

Keywords

Haze L problem
Least-squares
Mie scattering
Radiative transfer
Theory of functional connections
Transport theory

ASJC Scopus subject areas

Radiation
Atomic and Molecular Physics, and Optics
Spectroscopy

Access to Document

10.1016/j.jqsrt.2020.107384

Cite this

@article{1785b867d2cd45beab8f2a651e699054,

title = "Solutions of Chandrasekhar's basic problem in radiative transfer via theory of functional connections",

abstract = "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.",

keywords = "Haze L problem, Least-squares, Mie scattering, Radiative transfer, Theory of functional connections, Transport theory",

author = "{De Florio}, Mario and Enrico Schiassi and Roberto Furfaro and Ganapol, {Barry D.} and Domiziano Mostacci",

note = "Publisher Copyright: {\textcopyright} 2020",

year = "2021",

month = jan,

doi = "10.1016/j.jqsrt.2020.107384",

language = "English (US)",

volume = "259",

journal = "Journal of Quantitative Spectroscopy and Radiative Transfer",

issn = "0022-4073",

publisher = "Elsevier Ltd",

}

TY - JOUR

T1 - Solutions of Chandrasekhar's basic problem in radiative transfer via theory of functional connections

AU - De Florio, Mario

AU - Schiassi, Enrico

AU - Furfaro, Roberto

AU - Ganapol, Barry D.

AU - Mostacci, Domiziano

PY - 2021/1

Y1 - 2021/1

N2 - 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.

AB - 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.

KW - Haze L problem

KW - Least-squares

KW - Mie scattering

KW - Radiative transfer

KW - Theory of functional connections

KW - Transport theory

UR - http://www.scopus.com/inward/record.url?scp=85094871500&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85094871500&partnerID=8YFLogxK

U2 - 10.1016/j.jqsrt.2020.107384

DO - 10.1016/j.jqsrt.2020.107384

M3 - Article

AN - SCOPUS:85094871500

SN - 0022-4073

VL - 259

JO - Journal of Quantitative Spectroscopy and Radiative Transfer

JF - Journal of Quantitative Spectroscopy and Radiative Transfer

M1 - 107384

ER -

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

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this