Integral moment method for radiative transfer in a one-dimensional nonlinear anisotropic scattering medium with graded index

The integral moment method based on the curved ray-tracing method is proposed to solve radiative transfer in a one-dimensional nonlinear anisotropic scattering medium with graded index. This method does not suffer from ray effects since there is no angular discretization. A steady-state combined conduction and radiation heat transfer problem is considered. Temperature and radiative heat flux distributions are determined through the spatial discretization. The results show that the integral moment method is good in accuracy and convergence characteristic. Various effects of nonlinear anisotropic scattering and graded index on radiative transfer are investigated.

► Nonlinear anisotropic scattering radiative transfer is solved by the integral moment method.
► The integral moment method does not suffer the ray effects.
► Nonlinear anisotropic scattering can strengthen or weaken the effects of graded index.
► Nonlinear anisotropic scattering and graded index affect temperature and heat flux differently.