## CHEBYSHEV COLLOCATION SPETRAL METHOD FOR RADIATIVE HEAT TRANSFER IN ONE-DIMENSIONAL CYLINDRICAL MEDIUM
## ResumoA Chebyshev collocation spectral method (CCSM) is developed for solving the radiative transfer equation (RTE)
in an infinitely long, axisymmetric cylindrical medium. Both the spatial and angular domains of the RTE are
discretized by the CCSM. In order to avoid the singularity on the origin, the Chebyshev Gauss-Lobatto (CGL)
grids are adopted along the diameter. An even number of grids are used to exclude the origin. Comparing
with the discrete ordinates method (DOM), which has the second order convergence, the CCSM has an
exponential convergence in both the spatial and angular directions. To investigate the effect of spatial grid
number on the numerical accuracy, the angular grid number is adopted as large as possible. Excellent results can
be obtained by the CCSM even using few spatial grid points. For the optical thickness |

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