Results 181 to 190 of about 49,025 (228)

Numerical analysis of discrete ordinate methods

Journal of Computational Physics, 1968
Abstract It is shown that the DSN equations for spherical nonscattering time-dependent systems can be put in matrix form, and that one can then apply well-known theorems to obtain criteria for stability and monotonicity of the difference operator.
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The discrete-ordinate method in diffusive regimes

Transport Theory and Statistical Physics, 1991
Abstract In highly scattering regimes, the transport equation has a limit in which the leading behavior of its solution is determined by the solution of a diffusion equation. A boundary layer with a thickness of a few mean free paths usually forms between the domain boundary and the interior region, through which the given transport boundary conditions
Shi Jin, David Levermore
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SPATIAL DIFFERENCING SCHEMES OF THE DISCRETE-ORDINATES METHOD

Numerical Heat Transfer, Part B: Fundamentals, 1996
Abstract Several spatial differencing schemes are used to discretize the radiative transfer equation in the context of the discrete-ordinates method. These are the conventional upwind, central, hybrid, and exponential schemes as well as the high-resolution SMART scheme.
F. Liu, H. A. Becker, A. Pollard
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Extended discrete-ordinate method considering full polarization state

Journal of Quantitative Spectroscopy and Radiative Transfer, 2006
This 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, 1974
This 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, 2009
A 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, Huai-Chun Zhou, Pei-feng Hsu   +2 more
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Discrete-ordinates method in radiative heat transfer

International Journal of Engineering Science, 1998
zbMATH 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, 1986
A 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, 1971
The 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, 1984
Abstract 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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