Solution of the radiative transfer equation in discrete ordinate form by sequential function approximation

2001 ◽  
Vol 40 (6) ◽  
pp. 517-527 ◽  
Author(s):  
David L Thomson ◽  
Andrew J Meade ◽  
Yildiz Bayazitoglu
Keyword(s):  
Radiative Transfer ◽  
Transfer Equation ◽  
Function Approximation ◽  
Radiative Transfer Equation ◽  
Discrete Ordinate ◽  
Sequential Function Approximation

Coupled phenomenon of opposing mixed convection and radiation in presence of participating medium inside eccentric horizontal cylindrical annulus

2008 ◽  
Vol 222 (9) ◽  
pp. 1753-1762
Author(s):  
Anjan Sarkar ◽  
S K Mahapatra ◽  
A Sarkar
Keyword(s):  
Radiative Transfer ◽  
Mixed Convection ◽  
Transfer Equation ◽  
Richardson Number ◽  
Radiation Transfer ◽  
Radiative Transfer Equation ◽  
Discrete Ordinate Method ◽  
Discrete Ordinate ◽  
Cylindrical Annulus ◽  
Interaction Phenomenon

In the present investigation, the coupled phenomenon of opposing mixed convection and radiation within differentially-heated eccentric horizontal cylindrical annulus has been numerically simulated. The radiation transfer contributed from the participating medium is obtained by solving the non-linear integro-differential radiative transfer equation using the discrete ordinate method. The participating grey medium is considered to be emitting, absorbing, and isotropically scattering. The walls of the annulus are considered to be opaque, diffuse, and grey. From the present investigation, it is found that substantial changes occur in the isotherms as well as the flow patterns, when the Richardson number is allowed to vary in the range of 0.01–1. The eccentricity of the inner cylinder has been varied adequately to illustrate the effect of same in a focused manner. The influence of radiative parameters on the interaction phenomenon has been delineated through the isotherm and streamline patterns.

scholarly journals A Discrete-Ordinate Discontinuous-Streamline Diffusion Method for the Radiative Transfer Equation

2016 ◽  
Vol 20 (5) ◽  
pp. 1443-1465 ◽  
Author(s):  
Cheng Wang ◽  
Qiwei Sheng ◽  
Weimin Han
Keyword(s):  
Radiative Transfer ◽  
Transfer Equation ◽  
Radiative Transfer Equation ◽  
Diffusion Method ◽  
Accurate Approximation ◽  
Test Functions ◽  
Discrete Ordinate ◽  
Science And Engineering ◽  
Artificial Diffusion ◽  
Streamline Diffusion

AbstractThe radiative transfer equation (RTE) arises in many different areas of science and engineering. In this paper, we propose and investigate a discrete-ordinate discontinuous-streamline diffusion (DODSD) method for solving the RTE, which is a combination of the discrete-ordinate technique and the discontinuous-streamline diffusion method. Different from the discrete-ordinate discontinuous Galerkin (DODG) method for the RTE, an artificial diffusion parameter is added to the test functions in the spatial discretization. Stability and error estimates in certain norms are proved. Numerical results show that the proposed method can lead to a more accurate approximation in comparison with the DODG method.

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