the SK_N Approximation for Solving Radiative Transfer Problems in absorbing, Emitting, and Isotropically Scattering Plane-Parallel Medium: Part 1

摘要

A high order approximation, the SK_N method-a mnemonic for synthetic kernel-is pro- posed for solving radiative transfer problems in participating medium. The method relies on approximating the integral transfer kernel by a sum of exponential kernels. The ra- diative integral equation is then reducible to a set of coupled second-order differential equations. The method is tested for one-dimensional plane-parallel participating medium. Three quadrature sets are proposed for the method, and the convergence of the method With the proposed sets is explored.