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 journalArticlepeer-review

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 languageEnglish (US)
Article number107384
JournalJournal of Quantitative Spectroscopy and Radiative Transfer
Volume259
DOIs
StatePublished - Jan 2021

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

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