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

摘要

In this work, a new Monte Carlo algorithm based on the hybrid-transport diffusion (HTD) model 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. 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.