Comparison of Three Techniques for Solving the Radiative Transport Equation

Abstract

The source function formulation of the radiative transport equation is solved by successive approximations; the discrete ordinate formulation is solved by both the Milne predictor-corrector and Chandrasekhar techniques. These three techniques are compared with respect to applicability and computation time, and a brief error analysis is given for each. A comparison is shown between the double and single Gaussian quadratures (orders 10 throuth 96) used in the discrete ordinate formulation. The effect of refractive index on the quadrature order necessary to obtain accuracy for Fresnel boundaries is shown.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1974
Accession Number
AD0774023

Entities

People

  • A. Matthew Smith
  • J. A. Roux

Organizations

  • Arnold Engineering Development Complex

Tags

Communities of Interest

  • Advanced Electronics
  • Materials and Manufacturing Processes
  • Sensors

DTIC Thesaurus Topics

  • Accuracy
  • Air Force
  • Boltzmann Equation
  • Boundaries
  • Coefficients
  • Computational Fluid Dynamics
  • Computational Science
  • Computations
  • Differential Equations
  • Equations
  • Errors
  • Gaussian Quadrature
  • Integral Equations
  • Optical Properties
  • Radiant Intensity
  • Refractive Index
  • Tennessee

Fields of Study

  • Physics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Spectroscopy.