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Extended discrete-ordinate method considering full polarization state
Journal of Quantitative Spectroscopy and Radiative Transfer, 2006This paper presents an extension to the standard discrete-ordinate method (DOM) to consider generalized sources including: beam sources which can be placed at any (vertical) position and illuminate in any direction, thermal emission from the atmosphere and angularly distributed sources which illuminate from a surface as continuous functions of zenith ...
Michael A. Box, Yi Qin
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Relativistic Compton Scattering by the Discrete Ordinates Method
Nuclear Science and Engineering, 1974This research effort determined how to numerically represent the scattering kernel for x-ray scattering from a relativistic Maxwellian distribution of electrons in a multigroup discrete Sn treatmen...
Brian G. Stephan, Charles J. Bridgman
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Improved Discrete Ordinates Method for Ray Effects Mitigation
Journal of Heat Transfer, 2009A new and improved method based on the concept of discrete ordinates scheme with infinitely small weights (DOS+ISW) is developed for modeling radiative heat transfer in three-dimensional participating media. To demonstrate the effectiveness of the method in mitigating ray effects, the ray effects caused by (1) abrupt step changes in the boundary ...
Zhi-Feng Huang +2 more
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Discrete-ordinates method in radiative heat transfer
International Journal of Engineering Science, 1998zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On Finite-Difference Methods for Solving Discrete-Ordinates Transport Equations
SIAM Journal on Numerical Analysis, 1986A unified error analysis is carried out for two general classes of finite-difference methods for solving discrete-ordinates slab transport equations. Our treatment includes, as special cases, the analysis by \textit{E. Larsen} and \textit{P. Nelson} [SIAM J. Numer. Anal. 19, 334-348 (1982; Zbl 0482.65072)] and by \textit{B.
Victory, H. D. jun., Ganguly, Keshab
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Pointwise Convergence of the Three-Dimensional Discrete Ordinate Method
SIAM Journal on Numerical Analysis, 1971The discrete ordinate method is a numerical technique used for obtaining approximate solutions to the transport equation. The approximate solutions are shown to converge pointwise to the exact solution, provided: (a) that the average number of secondary neutrons produced per collisionis less than unity; (b) that the truncation error in the quadrature ...
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Diffusion-synthetic acceleration methods for discrete-ordinates problems
Transport Theory and Statistical Physics, 1984Abstract The diffusion-synthetic acceleration (DSA) method is an iterative procedure for obtaining numerical solutions of discrete-ordinates problems. The DSA method is operationally more complicated than the standard source-iteration (SI) method, but if encoded properly it converges much more rapidly, especially for problems with diffusion-like ...
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Performance of three-dimensional nodal discrete ordinates methods
Progress in Nuclear Energy, 1986Abstract The development and testing of higher order three-dimensional nodal S N methods is discussed. In fixed-source problems, the method, using linear node-interior and constant node-surface flux approximations, significantly reduces the mesh cell and computing time requirements over the conventional linear diamond S N method, to achieve
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Improved Treatment of Scattering Using the Discrete Ordinates Method
Journal of Heat Transfer, 1994A finite volume method (FVM) is presented in this article. This procedure can be used to model transparent, absorbing, emitting, and anisotropically scattering media. A procedure to capture collimated beam is also presented. The FVM is applied to six test problems, and the results compared favorably against other published results.
J. C. Chai, H. S. Lee, S. V. Patankar
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Fuel Assembly Calculations Using the Method of Discrete Ordinates
Nuclear Science and Engineering, 2005The discrete ordinates code DORT is employed to treat pin cell and fuel assembly configurations in two spatial dimensions. Despite DORT's restriction to regular (i.e., Cartesian) coordinates, we demonstrate its ability to calculate accurate pin power distributions and eigenvalues of typical reactor fuel lattices. Several numerical experiments have been
Andreas Pautz +3 more
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