  In this paper analysis is performed on a computational method for thermal
radiative transfer (TRT) problems based on the multilevel quasidiffusion
(variable Eddington factor) method with the method of long characteristics (ray
tracing) for the Boltzmann transport equation (BTE). The method is formulated
with a multilevel set of moment equations of the BTE which are coupled to the
material energy balance (MEB). The moment equations are exactly closed via the
Eddington tensor defined by the BTE solution. Two discrete spatial meshes are
defined: a material grid on which the MEB and low-order moment equations are
discretized, and a grid of characteristics for solving the BTE. Numerical
testing of the method is completed on the well-known Fleck-Cummings test
problem which models a supersonic radiation wave propagation. Mesh refinement
studies are performed on each of the two spatial grids independently, holding
one mesh width constant while refining the other. We also present the data on
convergence of iterations.
