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Proceedings of the 9th International Symposium on Radiative Transfer, RAD-19
June, 3-7, 2019, Athens, Greece

DOI: 10.1615/RAD-19


ISBN: 978-1-56700-479-3

ISSN: 2642-5629

MONTE-CARLO AND DOMAIN-DEFORMATION SENSITIVITIES

pages 213-220
DOI: 10.1615/RAD-19.260
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RÉSUMÉ

We address the question of evaluating shape derivatives of objective functions for radiative-transfer engineering involving semi-transparent media. After recalling the standard Monte-Carlo approach to sensitivity estimation and its current limitations, a new method is presented for the specific case of geometrical sensitivities. This method is then tested in a square cavity filled by a multiple-scattering and absorbing (non-emitting) semi-transparent medium, irradiated by an emissive cylinder. A new geometrical sensitivity algorithm is presented with full genericity in order to allow its future implementation in complex geometries.

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