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

JOURNAL OF COMPUTATIONAL PHYSICS

卷:275

Article

Roger, M.¹  Caliot, C.²  Crouseilles, N.^3,4  Coelho, P. J.⁵ 

[1] Univ Lyon, INSA Lyon, CNRS, CETHIL,UMR5008, F-69621 Villeurbanne, France

[2] PROMES UPR CNRS 6144, F-66120 Font Romeu, France

[3] INRIA Rennes Bretagne Atlantique, IPSO Project, F-35042 Rennes, France

[4] Univ Rennes 1, IRMAR, F-35042 Rennes, France

[5] Univ Lisbon, IDMEC, LAETA, Inst Super Tecn,Mech Engn Dept, P-1049001 Lisbon, Portugal

关键词: Radiative transfer;    Multi-scale model;    Hybrid transport-diffusion model;    Monte Carlo method;    Discrete ordinates method;    Diffusive regime;   

DOI  :  10.1016/j.jcp.2014.06.063

来源: Elsevier

【 摘 要 】

A new multi-scale hybrid transport-diffusion model for radiative transfer is proposed in order to improve the efficiency of the calculations close to the diffusive regime, in absorbing and strongly scattering media. 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. The proposed model is a good alternative for radiative transfer at the intermediate regime where the macroscopic diffusion equation is not accurate enough and the radiative transfer equation requires too much computational effort. (C) 2014 Elsevier Inc. All rights reserved.

【 授权许可】

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