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Development and application of the discrete ordinate method in orthogonal curvilinear coordinates; Developpement et application de la methode des ordonnees discretes en coordonnees curvilignes orthogonales

Abstract

The method of discrete ordinates, which is more and more widely used in radiant heat transfer studies, is mainly developed in Cartesian, (r,z) and (r,{Theta}) cylindrical, and spherical coordinates. In this study, the approach of this method is performed in orthogonal curvilinear coordinates: determination of the radiant heat transfer equation, treatment of the angular redistribution terms, numerical procedure. Some examples of application are described in 2-D geometry defined in curvilinear coordinates along a curve and at the thermal equilibrium. A comparison is made with the discrete ordinates method in association with the finite-volumes method in non structured mesh. (J.S.) 27 refs.
Authors:
Vaillon, R; Lallemand, M; Lemonnier, D [1] 
  1. Ecole Nationale Superieure de Mecanique et d`Aerotechnique (ENSMA), 86 - Poitiers (France)
Publication Date:
Dec 31, 1996
Product Type:
Conference
Report Number:
ETDE-FR-99703312; CONF-9602163-
Reference Number:
SCA: 420400; 990200; PA: FRC-98:004828; EDB-99:046724; SN: 98002014924
Resource Relation:
Conference: Workshop on calculation codes for radiant heat transfers, Journee d`etudes sur les codes de calcul de rayonnement thermique, France (France), 14 Feb 1996; Other Information: PBD: 1996; Related Information: Is Part Of Calculation codes for radiant heat transfers; PB: 158 p.; Les codes de calcul de rayonnement thermique
Subject:
42 ENGINEERING NOT INCLUDED IN OTHER CATEGORIES; 99 MATHEMATICS, COMPUTERS, INFORMATION SCIENCE, MANAGEMENT, LAW, MISCELLANEOUS; DISCRETE ORDINATE METHOD; CURVILINEAR COORDINATES; RADIANT HEAT TRANSFER; FINITE ELEMENT METHOD; HEAT FLUX; MESH GENERATION; TEMPERATURE GRADIENTS; ELLIPTICAL CONFIGURATION; TWO-DIMENSIONAL CALCULATIONS; COMPUTERIZED SIMULATION
OSTI ID:
333942
Research Organizations:
Societe Francaise des Thermiciens, 75 - Paris (France)
Country of Origin:
France
Language:
French
Other Identifying Numbers:
Other: ON: DE99703312; TRN: FR9804828
Availability:
OSTI as DE99703312
Submitting Site:
FR
Size:
pp. 73-86
Announcement Date:

Citation Formats

Vaillon, R, Lallemand, M, and Lemonnier, D. Development and application of the discrete ordinate method in orthogonal curvilinear coordinates; Developpement et application de la methode des ordonnees discretes en coordonnees curvilignes orthogonales. France: N. p., 1996. Web.
Vaillon, R, Lallemand, M, & Lemonnier, D. Development and application of the discrete ordinate method in orthogonal curvilinear coordinates; Developpement et application de la methode des ordonnees discretes en coordonnees curvilignes orthogonales. France.
Vaillon, R, Lallemand, M, and Lemonnier, D. 1996. "Development and application of the discrete ordinate method in orthogonal curvilinear coordinates; Developpement et application de la methode des ordonnees discretes en coordonnees curvilignes orthogonales." France.
@misc{etde_333942,
title = {Development and application of the discrete ordinate method in orthogonal curvilinear coordinates; Developpement et application de la methode des ordonnees discretes en coordonnees curvilignes orthogonales}
author = {Vaillon, R, Lallemand, M, and Lemonnier, D}
abstractNote = {The method of discrete ordinates, which is more and more widely used in radiant heat transfer studies, is mainly developed in Cartesian, (r,z) and (r,{Theta}) cylindrical, and spherical coordinates. In this study, the approach of this method is performed in orthogonal curvilinear coordinates: determination of the radiant heat transfer equation, treatment of the angular redistribution terms, numerical procedure. Some examples of application are described in 2-D geometry defined in curvilinear coordinates along a curve and at the thermal equilibrium. A comparison is made with the discrete ordinates method in association with the finite-volumes method in non structured mesh. (J.S.) 27 refs.}
place = {France}
year = {1996}
month = {Dec}
}