A hybrid transport-diffusion model for radiative transfer in absorbing and scattering media

Abstract : A new multi-scale hybrid transport-diffusion model for radiative transfer calculations is proposed. In this model, the radiative intensity is decomposed into a macroscopic component calculated by the diffusion equation, and a mesoscopic component. The transport equation for the mesoscopic component allows to correct the estimation of the diffusion equation, and then to obtain the solution of the linear radiative transfer equation. In this work, results are presented for stationary and transient radiative transfer cases, in examples which concern solar concentrated and optical tomography applications. The Monte Carlo and the discrete-ordinate methods are used to solve the mesoscopic equation. It is shown that the multi-scale model allows to improve the efficiency of the calculations when the medium is close to the diffusive regime. Moreover, the development of methods for coupling the radiative transfer equation with the diffusion equation becomes easier with this model than with the usual domain decomposition methods.
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Journal of Computational Physics, Elsevier, 2014, 275, pp.346 - 362. 〈10.1016/j.jcp.2014.06.063〉
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Maxime Roger, Cyril Caliot, Nicolas Crouseilles, Pedro Jorge Martins Coelho. A hybrid transport-diffusion model for radiative transfer in absorbing and scattering media. Journal of Computational Physics, Elsevier, 2014, 275, pp.346 - 362. 〈10.1016/j.jcp.2014.06.063〉. 〈hal-01090680〉

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