Abstract
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.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: Journal of Quantitative Spectroscopy and Radiative Transfer
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
