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A MONTE CARLO ALGORITHM BASED ON THE HYBRID TRANSPORT-DIFFUSION MODEL FOR TRANSIENT RADIATIVE TRANSFER CALCULATIONS

DOI: 10.1615/ICHMT.2015.IntSympAdvComputHeatTransf.360
pages 427-440

Maxime Roger
Univ Lyon, CNRS, INSA-Lyon, Universite Claude Bernard Lyon 1, CETHIL UMR5008, F-69621, Villeurbanne, France

Nicolas Crouseilles
INRIA-Rennes Bretagne-Atlantique (IPSO Project) and Universit´e de Rennes 1 (IRMAR)

Pedro J. M. Coelho
Instituto Superior Technico Department of Mechanical Engineering Av. Rovisco Pais, 1049-001 Lisbon Portugal

Sinopsis

In this work, a new Monte Carlo algorithm based on the hybrid-transport diffusion (HTD) model [1] is evaluated for solving the transient radiative transfer equation (RTE) in a three-dimensional problem related to optical tomography applications. The solution of the diffusion equation is used as a control-variate in the Monte Carlo algorithm in order to decrease the statistical uncertainties. The computational cost is compared to a classical MCM-RTE approach. The results show that the HTD model remains more efficient when the scattering optical thickness increases. However, in multidimensional problem, the MCM-HTD approach do not perform as well as formerly observed in one-dimensional problem [1]. It seems that the multi-scale HTD model is more efficient in hot media where emission plays a relevant role, than in cold media like those encountered in optical tomography applications.

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