Partition-extrapolation integration applied to radiative transfer in cylindrical media

Shang Chen Wu, Chih Yang Wu

Research output: Contribution to journalArticlepeer-review

11 Citations (Scopus)

Abstract

An integration technique constructed to treat integrands with singularity has been extended to the solutions of the equation of radiative transfer in integral form. To illustrate the technique, radiative transfer is considered in an absorbing and isotropic scattering solid cylinder exposed to diffuse radiation, as well as radiative equilibrium in a participating medium between concentric cylinders with unequal surface temperatures. The integral equations for the two problems are solved by using the collocation method. Since the integral equations have singular kernels, the partition-extrapolation technique is employed. The technique yields estimates of the integration with singularity by extrapolation of the integration results of several subdomains without singularity. Comparisons of the results obtained by the present method with those obtained by the F-N method and the Monte Carlo method show that the partition-extrapolation technique generates accurate results.

Original languageEnglish
Pages (from-to)279-286
Number of pages8
JournalJournal of Quantitative Spectroscopy and Radiative Transfer
Volume48
Issue number3
DOIs
Publication statusPublished - 1992 Sep

All Science Journal Classification (ASJC) codes

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

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