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This paper presents a new technique for developing reduced-order models(ROMs) for nonlinear radiative transfer problems in high-energy densityphysics. The proper orthogonal decomposition (POD) of photon intensities isapplied to obtain global basis functions for the Galerkin projection(POD-Galerkin) of the time-dependent multigroup Boltzmann transport equation(BTE) for photons. The POD-Galerkin solution of the BTE is used to determinethe quasidiffusion (Eddington) factors that yield closures for the nonlinearsystem of (i) multilevel low-order quasidiffusion (VEF) equations and (ii)material energy balance equation. Numerical results are presented todemonstrate accuracy of the ROMs obtained with different low-rankapproximations of intensities.

Reduced-Order Models for Thermal Radiative Transfer Based on POD-Galerkin Method and Low-Order Quasidiffusion Equations