The source approximation method for multidimensional media using the surface-integral form of the radiative transfer equation

Details The source approximation method for multidimensional media using the surface-integral form of the radiative transfer equation The source approximation method for multidimensional media using the surface-integral form of the radiative transfer equation

May 1995

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1995jqsrt..53..549z&link_type=abstract

Journal of Quantitative Spectroscopy & Radiative Transfer (ISSN 0022-4073), vol. 53, no. 5, p. 549-563

Statistics

Computation

2

Anisotropic Media, Emittance, Optical Thickness, Radiant Flux Density, Radiation Absorption, Radiation Sources, Radiative Transfer, Scattering, Boundary Conditions, Fredholm Equations, Heat Flux, Incident Radiation, Integral Equations, Interpolation, Quadratures

Scientific paper

A radiation source approximation of linear and quadratic interpolation over an optical length is constructed to simplify surface-integral equations of radiative transfer for an absorbing, emitting and linear anisotropic scattering medium. The expressions formulated here for incident radiation and radiative heat flux can be applied easily to various coordinate systems. Test cases of radiation in participating media with two-dimensional cylindrical and three-dimensional rectangular geometries are solved by the new technique. The numerical solutions are compared with other results obtained by the product-integration method (PIM). For all the cases considered the radiative transfer results predicted by the quadratic source approximation is in good agreement with the benchmark PIM solution and is more accurate than those obtained with the linear approximation. Since only integration at the bounding surface is involved in the equations of radiative transfer, the solution method is computationally efficient.

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