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In this paper analysis is performed on a computational method for thermalradiative transfer (TRT) problems based on the multilevel quasidiffusion(variable Eddington factor) method with the method of long characteristics (raytracing) for the Boltzmann transport equation (BTE). The method is formulatedwith a multilevel set of moment equations of the BTE which are coupled to thematerial energy balance (MEB). The moment equations are exactly closed via theEddington tensor defined by the BTE solution. Two discrete spatial meshes aredefined: a material grid on which the MEB and low-order moment equations arediscretized, and a grid of characteristics for solving the BTE. Numericaltesting of the method is completed on the well-known Fleck-Cummings testproblem which models a supersonic radiation wave propagation. Mesh refinementstudies are performed on each of the two spatial grids independently, holdingone mesh width constant while refining the other. We also present the data onconvergence of iterations.

Multilevel Method for Thermal Radiative Transfer Problems with Method of Long Characteristics for the Boltzmann Transport Equation