Radiative transfer with internal reflection via the converged discrete ordinates method

Research output: Contribution to journalArticle

12 Citations (Scopus)

Abstract

In response to the challenge of establishing highly accurate solutions to the plane layer radiative transfer equation with the simplest of methods, the converged discrete ordinates method is presented. With this algorithm of only finite difference, quadrature and acceleration, we show how to obtain highly accurate intensities for radiative transfer in a finite layer with internal surface reflection. The method features angular smoothing and angular interpolation through "faux" quadrature. In addition, a manufactured solution demonstrates the high accuracy of the method for forward peaked scattering. We consider scattering in a heterogeneous medium as a final demonstration.

Original languageEnglish (US)
Pages (from-to)693-713
Number of pages21
JournalJournal of Quantitative Spectroscopy and Radiative Transfer
Volume112
Issue number4
DOIs
StatePublished - Mar 2011

Fingerprint

Radiative transfer
quadratures
radiative transfer
Forward scattering
forward scattering
smoothing
interpolation
Interpolation
Demonstrations
Scattering
scattering

Keywords

  • Convergence acceleration
  • Discrete ordinates
  • Radiative transfer

ASJC Scopus subject areas

  • Spectroscopy
  • Atomic and Molecular Physics, and Optics
  • Radiation

Cite this

@article{76603b5dd47c4871872e4f5c09f52fc4,
title = "Radiative transfer with internal reflection via the converged discrete ordinates method",
abstract = "In response to the challenge of establishing highly accurate solutions to the plane layer radiative transfer equation with the simplest of methods, the converged discrete ordinates method is presented. With this algorithm of only finite difference, quadrature and acceleration, we show how to obtain highly accurate intensities for radiative transfer in a finite layer with internal surface reflection. The method features angular smoothing and angular interpolation through {"}faux{"} quadrature. In addition, a manufactured solution demonstrates the high accuracy of the method for forward peaked scattering. We consider scattering in a heterogeneous medium as a final demonstration.",
keywords = "Convergence acceleration, Discrete ordinates, Radiative transfer",
author = "Ganapol, {Barry D}",
year = "2011",
month = "3",
doi = "10.1016/j.jqsrt.2010.03.014",
language = "English (US)",
volume = "112",
pages = "693--713",
journal = "Journal of Quantitative Spectroscopy and Radiative Transfer",
issn = "0022-4073",
publisher = "Elsevier Limited",
number = "4",

}

TY - JOUR

T1 - Radiative transfer with internal reflection via the converged discrete ordinates method

AU - Ganapol, Barry D

PY - 2011/3

Y1 - 2011/3

N2 - In response to the challenge of establishing highly accurate solutions to the plane layer radiative transfer equation with the simplest of methods, the converged discrete ordinates method is presented. With this algorithm of only finite difference, quadrature and acceleration, we show how to obtain highly accurate intensities for radiative transfer in a finite layer with internal surface reflection. The method features angular smoothing and angular interpolation through "faux" quadrature. In addition, a manufactured solution demonstrates the high accuracy of the method for forward peaked scattering. We consider scattering in a heterogeneous medium as a final demonstration.

AB - In response to the challenge of establishing highly accurate solutions to the plane layer radiative transfer equation with the simplest of methods, the converged discrete ordinates method is presented. With this algorithm of only finite difference, quadrature and acceleration, we show how to obtain highly accurate intensities for radiative transfer in a finite layer with internal surface reflection. The method features angular smoothing and angular interpolation through "faux" quadrature. In addition, a manufactured solution demonstrates the high accuracy of the method for forward peaked scattering. We consider scattering in a heterogeneous medium as a final demonstration.

KW - Convergence acceleration

KW - Discrete ordinates

KW - Radiative transfer

UR - http://www.scopus.com/inward/record.url?scp=78751581963&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=78751581963&partnerID=8YFLogxK

U2 - 10.1016/j.jqsrt.2010.03.014

DO - 10.1016/j.jqsrt.2010.03.014

M3 - Article

VL - 112

SP - 693

EP - 713

JO - Journal of Quantitative Spectroscopy and Radiative Transfer

JF - Journal of Quantitative Spectroscopy and Radiative Transfer

SN - 0022-4073

IS - 4

ER -