DEVELOPMENT OF A GENERALIZED ZONAL METHOD FOR ANALYSIS OF RADIATIVE TRANSFER IN ABSORBING AND ANISOTROPICALLY SCATTERING MEDIA

1994 ◽  
Vol 25 (1) ◽  
pp. 75-96 ◽  
Author(s):  
W. W. Yuen ◽  
E. E. Takara
Keyword(s):  
Radiative Transfer ◽  
Scattering Media ◽  
Zonal Method

Modified Zonal Method for Thin Solid Semi-Transparent Media With Reflective Boundary

2007 ◽  
Author(s):  
Georges M. El-Hitti ◽  
Maroun Nemer ◽  
Khalil El Khoury ◽  
Denis Coldic
Keyword(s):  
Heat Transfer ◽  
Radiative Transfer ◽  
Transient Operation ◽  
Scattering Media ◽  
Zonal Method ◽  
Total Heat Transfer ◽  
Transfer Factors ◽  
Transparent Media ◽  
The Matrix ◽  
Time Required

In this paper a detailed description of a modified zonal method used for the prediction of transient operation in glass treatment furnaces is presented. This method calculates the radiative transfer factors for scenes containing both diffusive surfaces and absorbing-emitting/non-scattering media with high indices of refraction all embedded in a totally transparent atmosphere. The method used combines the flux plans approximation for calculation of the view factors, the plating algorithm originally developed by Edwards for calculation of the total heat transfer factors, and finally, Emery’s equations for deduction of the surface-volume and volume-volume heat transfer factors. The matrix of radiative transfer is then simplified by eliminating the low energy level factors, thus rendering the matrix hollow and thereafter decreasing the time required for calculation.

Transient Radiative Transfer in Anisotropically Scattering Media Using Monotonicity-Preserving Schemes

2000 ◽  
Author(s):  
M. Sakami ◽  
K. Mitra ◽  
P.-F. Hsu
Keyword(s):  
Radiative Transfer ◽  
Research Work ◽  
Discrete Ordinates ◽  
Scattering Media ◽  
Discrete Ordinates Method ◽  
Piecewise Parabolic ◽  
Phase Functions ◽  
Monotonicity Preserving ◽  
Made In ◽  
Thick Medium

Abstract This research work deals with the analysis of transient radiative transfer in one-dimensional scattering medium. The time-dependant discrete ordinates method was used with an upwind monotonic scheme: the piecewise parabolic scheme. This scheme was chosen over a total variation diminishing version of the Lax-Wendroff scheme. These schemes were originally developed to solve Eulerian advection problem in hydrodynamics. The capability of these schemes to handle sharp discontinuity in a propagating electromagnetic wave front was compared. The accuracy and the efficiency of the discrete ordinates method associated with the piecewise parabolic advection scheme were studied. Comparisons with Monte Carlo and integral formulation methods show the accuracy and the efficiency of this proposed method. Parametric study for optically thin and thick medium, different albedos and phase functions is then made in the unsteady state zone.

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