The formulation of a multiple absorption coefficient zonal method (MACZM) is presented. The method can be directly applied to a fine-grid finite-difference or finite-element computation and is thus an effective approach to generate accurate assessment of the importance of radiative heat transfer in multi-dimensional inhomogeneous, non-gray media. The feasibility of the method is demonstrated by calculating the radiative exchange between a high temperature (∼3000 K) molten nuclear fuel (UO2) and water (with a large variation in absorption coefficient from the visible to the infrared) in a highly 3-D and inhomogeneous environment simulating the premixing phase of a steam explosion.

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