Monte Carlo Simulation of Radiation in Gases With a Narrow-Band Model and a Net-Exchange Formulation

Author:

Cherkaoui M.1,Dufresne J.-L.1,Fournier R.2,Grandpeix J.-Y.3,Lahellec A.1

Affiliation:

1. Laboratoire de Me´te´orologie Dynamique, C.N.R.S.—Universite´ Paris 6, F-75252 Paris Cedex 05, France

2. LESETH, Universite´ Paul Sabatier, F-31077 Toulouse Cedex, France

3. LESETH, Universite´ Paul Sabatier, F-31077 Toulouse Cedex, France; also Laboratoire de Me´te´orologie Dynamique, C.N.R.S.—Universite´ Paris 6, F-75252 Paris Cedex 05, France

Abstract

The Monte Carlo method is used for simulation of radiative heat transfers in nongray gases. The proposed procedure is based on a Net-Exchange Formulation (NEF). Such a formulation provides an efficient way of systematically fulfilling the reciprocity principle, which avoids some of the major problems usually associated with the Monte Carlo method: Numerical efficiency becomes independent of optical thickness, strongly nonuniform grid sizes can be used with no increase in computation time, and configurations with small temperature differences can be addressed with very good accuracy. The Exchange Monte Carlo Method (EMCM) is detailed for a one-dimensional slab with diffusely or specularly reflecting surfaces.

Publisher

ASME International

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics,General Materials Science

Reference32 articles.

1. Cherkaoui, M., Dufresne, J. L., Fournier, R., Grandpeix, J. Y., Lahellec, A., and Palenzuela, D., 1992, “Two Procedures for Radiative Calculations With a Narrow-Band Statistical Model in a Volume of Gas at Room Temperature,” Proceedings of the 21st Eurotherm Seminar, F. Allard, J. F. Sacadura, and M. Spiga, eds., EETI Paris, pp. 123–131.

2. Cherkaoui, M., 1993, “Modelisation et Etude de Sensibilite des Echanges Radiatifs et Conductifs Couples dans une Cavite´ Remplie d’Air Ambiant,” Ph.D. dissertation, Universite´ Paris XII, Paris, France.

3. Cherkaoui, M., Dufresne, J. L., Fournier, R., Grandpeix, J. Y., Lahellec, A., 1996, “Net Exchange Formulation for One Dimensional Configurations With Reflective Surfaces,” submitted to ASME Journal of Heat Transfer.

4. Farmer, J. T., and Howell, J. R., 1994, “Monte Carlo Algorithm for Predicting Radiative Heat Transport in Optically Thick Participating Media,” Proc. 10th International Heat Transfer Conference, Vol. 2, G. F. Hewitt, ed., pp. 37–42.

5. Farmer, J. T., and Howell, J. R., 1994, “Hybrid Monte Carlo/Diffusion Methods for Enhanced Solution of Radiative Transfer in Optically Thick Nongray Media,” ASME HTD-Vol. 276, pp. 203–212.

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