M. Feischl, T. Führer, M. Niederer, S. Strommer, A. Steinböck, D. Praetorius:
"Efficient numerical computation of direct exchange areas in thermal radiation analysis";
Numerical Heat Transfer, Part B: Fundamentals, 69 (2016), 6; S. 511 - 533.

Kurzfassung englisch:
The analysis of thermal radiation in multi-surface enclosures typically involves multiple integrals with four, five, or six variables. Major diÿculties for the numerical evaluation of these integrals are non-convex geometries and singular integral kernels. This paper presents hierarchical visibility concepts and coordinate transformations which eliminate these diÿculties. In the transformed form, standard quadrature techniques are applied and accurate results are achieved with moderate numerical effort. In benchmark example problems, the effectiveness and accuracy of the method are validated. A simulation model of an industrial furnace demonstrates the applicability of the method for large-scale problems.

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