Abstract

This article is devoted to transient radiation and conduction heat transfer in a gray absorbing-emitting medium in a two-dimensional complex-shaped domain using unstructured triangular meshes. The radiative transfer equation (RTE) is solved by using a new finite-volume method (FVM) based on a cell vertex scheme and associated to a modified exponential scheme. The PHAML (Parallel Hierarchical Adaptive MultiLevel) code is used to solve the energy balance equation using low- or high-order finite elements. Several benchmark cases including steady and transient states and applied to different geometries are used to validate the developed code. Results show very good agreement.

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