$L_P $ and Eigenvalue Error Estimates for the Discrete Ordinates Method for Two-Dimensional Neutron Transport

1989 ◽  
Vol 26 (1) ◽  
pp. 66-87 ◽  
Author(s):  
Mohammad Asadzadeh
Keyword(s):  
Error Estimates ◽  
Neutron Transport ◽  
Discrete Ordinates ◽  
Two Dimensional ◽  
Discrete Ordinates Method

Surface Radiation Exchange for Two-Dimensional Rectangular Enclosures Using the Discrete-Ordinates Method

1992 ◽  
Vol 114 (2) ◽  
pp. 465-472 ◽  
Author(s):  
A. Sa`nchez ◽  
T. F. Smith
Keyword(s):  
Weighting Factor ◽  
Heat Fluxes ◽  
Surface Radiation ◽  
Discrete Ordinates ◽  
Two Dimensional ◽  
Discrete Ordinates Method ◽  
Radiation Exchange ◽  
Radiant Exchange ◽  
Irregular Geometries ◽  
Good Agreement

The purpose of this study is to develop a model based on the discrete-ordinates method for computing radiant exchange between surfaces separated by a transparent medium and to formulate the model so that arbitrary arrangements of the surfaces can be accommodated. Heat fluxes from the model are compared to those based on the radiosity/irradiation analysis. Three test geometries that include shadowing and irregular geometries are used to validate the model. Heat fluxes from the model are in good agreement with those from the radiosity/irradiation analysis. Effects of geometries, surface emittances, grid patterns, finite-difference weighting factor, and number of discrete angles are reported.

Discrete-Ordinates Solutions of the Radiative Transport Equation for Rectangular Enclosures

1984 ◽  
Vol 106 (4) ◽  
pp. 699-706 ◽  
Author(s):  
W. A. Fiveland
Keyword(s):  
Heat Transfer ◽  
Transfer Rate ◽  
Numerical Solutions ◽  
Surface Heat ◽  
Discrete Ordinates ◽  
Two Dimensional ◽  
Scattering Medium ◽  
Discrete Ordinates Method ◽  
Radiant Intensity ◽  
Radiative Transport Equation

The Sn discrete-ordinates method is used to find numerical solutions in a two-dimensional rectangular enclosure with a gray absorbing, emitting, and isotropically scattering medium. Results are obtained for the S2, S4, and S6 approximations that correspond to 4, 12, and 24 flux approximations, respectively, and are compared with exact solutions, numerical Hottel’s zone results, P3 differential approximations, and an approximation method developed by Modest. The S2 approximation solutions were found to be applicable only for several specific cases and are not recommended for general use. The S4 and S6 solutions compare favorably with other methods and can be used to predict radiant intensity and surface heat transfer rate for various surface and optical conditions.

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