Paule Lapeyre
PROMES CNRS, Universite Perpignan Via Domitia - 7, rue du Four Solaire, 66120 Font Romeu
Odeillo, France; Department of Mechanical and Mechatronics Engineering, University of Waterloo, 200 University Ave W, Waterloo, ON, Canada
S. Blanco
LAPLACE, UMR 5213 - Universite Paul Sabatier, 118, Route de Narbonne - 31062 Toulouse Cedex, France
Cyril Caliot
PROMES CNRS, Universite Perpignan Via Domitia - 7, rue du Four Solaire, 66120 Font Romeu
Odeillo, France
J. Dauchet
Universite Clermont Auvergne, CNRS, SIGMA Clermont, Institut Pascal, F-63000
Clermont-Ferrand, France
M. El Hafi
Universite Federale de Toulouse Midi-Pyrenees, Mines Albi, UMR CNRS 5302, Centre
RAPSODEE, Campus Jarlard, F-81013 Albi CT Cedex
R. Fournier
LAPLACE, UMR 5213 - Universite Paul Sabatier, 118, Route de Narbonne - 31062 Toulouse
Cedex, France
Olivier Farges
Université de Lorraine, CNRS, LEMTA, F-54500 Vandoeuvre-lès-Nancy, France; Laboratoire Commun Canopée, CNRS, Université de Lorraine, Saint-Gobain, France
Maxime Roger
Univ Lyon, CNRS, INSA-Lyon, Universite Claude Bernard Lyon 1, CETHIL UMR5008, F-69621,
Villeurbanne, France
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.