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TOWARD THE USE OF SYMBOLIC MONTE CARLO FOR CONDUCTION-RADIATION COUPLING IN COMPLEX GEOMETRIES

DOI: 10.1615/RAD-19.380
pages 311-318

L. Penazzi
RAPSODEE, UMR CNRS 5302, IMT Mines Albi, Campus Jarlard, Albi, France; PROMES-CNRS, UPR 851, 7 rue du Four Solaire, 66120 Font Romeu Odeillo, France

S. Blanco
LAPLACE, UMR 5213 - Universite Paul Sabatier, 118, Route de Narbonne - 31062 Toulouse Cedex, France

Cyril Caliot
PROMES CNRS, Universite Perpignan Via Domitia - 7, rue du Four Solaire, 66120 Font Romeu Odeillo, France

C. Coustet
Meso-Star - 8 rue des Pechers, 31410 Longages

M. El Hafi
Universite Federale de Toulouse Midi-Pyrenees, Mines Albi, UMR CNRS 5302, Centre RAPSODEE, Campus Jarlard, F-81013 Albi CT Cedex

R. Fournier
LAPLACE, UMR 5213 - Universite Paul Sabatier, 118, Route de Narbonne - 31062 Toulouse Cedex, France

Mathieu Galtier
Université de Toulouse, Mines Albi, UMR 5302 - RAPSODEE Campus Jarlard, F-81013, Albi Cedex 09, France; Univ Lyon, CNRS, INSA-Lyon, Universite Claude Bernard Lyon 1, CETHIL UMR5008, F-69621, Villeurbanne, France

Loris Ibarrart
RAPSODEE, UMR CNRS 5302, IMT Mines Albi, Campus Jarlard, Albi, France; LAPLACE, UMR CNRS 5213, Universite Paul Sabatier, 118 Route de Narbonne - 31062 Toulouse, France

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

Аннотация

We address the interest of using Symbolic Monte Carlo to obtain a reduced model for conduction-radiation coupling in complex geometries. Symbolic Monte Carlo was successfully used for radiative transfer in a decoupled manner, but no attempt has yet been reported to extend its use to radiation coupled with other modes. Here we show that from a unique Monte Carlo simulation of radiation coupled with conduction in a semi-transparent solid surrounded by a convective flow, it is possible to build a formulation of the local temperature as function of the convective heat transfer coefficient, for instance, including the evaluation of uncertainty. This reduced model (a transfer function) enables to decrease the computation time when the function needs to be evaluated plenty of times for different values of the parameters as in optimization or control algorithms.

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