A linear iterative scheme for the fast solution of the radiative heat transfer equations for glass

Abstract

In this paper, a linear, iterative solver for the radiative heat transfer (RHT) equations appearing in the simulation of glass cooling is studied. The solver becomes slow if the regime is optically thick, i.e., if absorption and scattering of radiation are strong. We propose a preconditioning technique for the RHT equations analogous to DSA preconditioning for the radiative transport equation using the P 1 approximation corresponding to the system investigated. Numerical investigations demonstrate the feasibility and performance of the approach.