L2-error estimates for the discrete ordinates method for three-dimensional neutron transport

1988 ◽  
Vol 17 (1) ◽  
pp. 1-24 ◽  
Author(s):  
Mohammad Asadzadeh
Keyword(s):  
Error Estimates ◽  
Neutron Transport ◽  
Three Dimensional ◽  
Discrete Ordinates ◽  
Discrete Ordinates Method

scholarly journals Assessment of the Lagrange Discrete Ordinates Equations for Three-Dimensional Neutron Transport

2018 ◽  
Vol 193 (3) ◽  
pp. 233-252 ◽  
Author(s):  
Kelly L. Rowland ◽  
Cory D. Ahrens ◽  
Steven Hamilton ◽  
R. N. Slaybaugh
Keyword(s):  
Neutron Transport ◽  
Three Dimensional ◽  
Discrete Ordinates

Improved Discrete Ordinates Method for Ray Effects Mitigation

2009 ◽  
Author(s):  
Zhi-Feng Huang ◽  
Huai-Chun Zhou ◽  
Pei-feng Hsu
Keyword(s):  
Three Dimensional ◽  
Computation Time ◽  
Computational Time ◽  
Discrete Ordinates ◽  
Emissive Power ◽  
Participating Media ◽  
Discrete Ordinates Method ◽  
Time Requirements ◽  
The Difference ◽  
Ray Effects

A new and improved method based on the discrete ordinates scheme with infinitely small weights (DOS+ISW) is developed for radiative heat transfer in three-dimensional participating media. To demonstrate the effectiveness of the method, ray effects caused by 1) abrupt step changes in the boundary conditions and 2) the stepwise variation of the medium emissive power are discussed. In this work, angular quadrature sets with large number of discrete ordinate directions are chosen to mitigate ray effects, while at the same time keeping the computational time increase to a minimum. Comparing with the conventional discrete ordinates method, the difference is that intensities in these directions are calculated by DOS+ISW. Intensity with fine directional resolution calculated by this method is validated by comparing with that of Reverse Monte Carlo method. The large number of discrete ordinates directions used in the new method becomes computationally prohibitive in discrete ordinates method due to the increased computer memory and computation time requirements.

Consideration of the Scattering Effects in the Glass As a Participating Medium Using the Discrete Ordinates Method

2001 ◽  
Author(s):  
S. Coutin Rodicio ◽  
B. Restrepo Torres
Keyword(s):  
Heat Flux ◽  
Radiative Heat ◽  
Three Dimensional ◽  
Discrete Ordinates ◽  
Radiative Heat Exchange ◽  
Scattering Medium ◽  
Discrete Ordinates Method ◽  
Radiant Intensity ◽  
Scattering Coefficients ◽  
Scattering Effects

Abstract Three-dimensional radiative heat exchange in a commercial type of glass as a participating medium is predicted using the discrete ordinates method. The radiative transfer equation (RTE) is analyzed for an absorbing, re-emitting, and scattering medium enclosed by gray walls. The main objective of this work is to formulate the RTE in a three-dimensional enclosure represented by a rectangular glass furnace where scattering effects are considered in the prediction of the radiant intensity, temperature distribution, incident and emitted energy, and heat flux at the glass surface. A comparative study is performed for glass under scattering and non-scattering conditions. The influence of scattering effects in the radiant intensity will provide further understanding of their impact in the glass thermal behavior. Additionally, the results of a parametric study on the glass for different scattering coefficients, surface heat flux, wall emissivity, and the forward scattering are discussed. The S4 approximation of the discrete ordinates method is employed in this model.

Sign in / Sign up

Export Citation Format

Share Document