Analysis of radiative transfer in a one-dimensional nonlinear anisotropic scattering medium with space-dependent scattering coefficient using spectral collocation method

Abstract

Spectral collocation method (SCM) has been extended to analyze one-dimensional radiative transfer problem in nonlinear anisotropic scattering medium with space-dependent scattering coefficient. Spatial and angular distributions of radiative intensity are expressed by Chebyshev polynomials and discretized by SCM. Comparisons between SCM and available data in references indicate that, SCM is accurate and efficient for radiative transfer in the one-dimensional nonlinear anisotropic and space-dependent scattering medium. When the same nodes are used by both SCM and Chebyshev collocation spectral method base on discrete ordinates method (SP-DOM), SCM is much more economical than SP-DOM.