The practice of recent radiative transfer Monte Carlo advances and its contribution to the field of microorganisms cultivation in photobioreactors

Jeremi Dauchet (1) , Stéphane Blanco (2) , Jean-Francois Cornet (3) , Mouna El-Hafi (4) , Vincent Eymet (4) , Richard A Fournier (2)

1 IP - Institut Pascal
2 LAPLACE-GREPHE - Groupe de Recherche Energétique, Plasmas et Hors Equilibre
3 LGCB - Laboratoire de Génie Chimique et Biochimique
4 RAPSODEE - Centre de recherche d'Albi en génie des procédés des solides divisés, de l'énergie et de l'environnement

The present text illustrates the practice of integral formulation, zero-variance approaches and sensitivity evaluations in the field of radiative transfer Monte Carlo simulation, as well as the practical implementation of the corresponding algorithms, for such realistic systems as photobioreactors involving spectral integration, multiple scattering and complex geometries. We try to argue that even in such non-academic contexts, strong benefits can be expected from the effort of translating the considered Monte Carlo algorithm into a rigorously equivalent integral formulation. Modifying the initial algorithm to simultaneously compute sensitivities is then straightforward (except for domain deformation sensitivities) and the question of enhancing convergence is turned into that of modeling a set of well identified physical quantities.

Mots clés: Microalgae; Radiative transfer; Monte Carlo; Multiple scattering; Zero-variance; Photobioreactor

Domaines: Sciences de l'ingénieur [physics]

Jeremi Dauchet, Stéphane Blanco, Jean-Francois Cornet, Mouna El-Hafi, Vincent Eymet, et al.. The practice of recent radiative transfer Monte Carlo advances and its contribution to the field of microorganisms cultivation in photobioreactors. Journal of Quantitative Spectroscopy and Radiative Transfer, 2013, 128 (SI), pp.52-59. ⟨10.1016/j.jqsrt.2012.07.004⟩. ⟨hal-01688109⟩