Collocation Spectral Method for Radiative Heat Transfer in One-dimensional Cylindrical Medium with Graded Index

doi:10.19596/j.cnki.1001-246x.8028

Abstract

Abstract: We develop a collocation spectral method (CSM) to address radiative transfer in a semitransparent anisotropic scattering cylindrical medium with graded index and space-dependent albedo. Accuracy and validity of the method is verified with exact solutions available in literature and other methods. CSM is found effective in obtaining radiative flux in graded index medium. And few nodes are enough to obtain accurate results.

Key words: Chebyshev polynomials, spectral method, radiative transfer equation, cylindrical medium, graded index

CLC Number:

TK124

WU Ming, ZHOU Ruirui, LI Benwen. Collocation Spectral Method for Radiative Heat Transfer in One-dimensional Cylindrical Medium with Graded Index[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2020, 37(3): 320-326.

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