Fast iterative methods for discrete-ordinates particle transport calculations

Progress in Nuclear Energy ◽

10.1016/s0149-1970(01)00023-3 ◽

2002 ◽

Vol 40 (1) ◽

pp. 3-159 ◽

Author(s):

Marvin L. Adams ◽

Edward W. Larsen

Keyword(s):

Iterative Methods ◽

Particle Transport ◽

Discrete Ordinates

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A more efficient implementation of the discrete-ordinates method for an approximate model of particle transport in a duct

Annals of Nuclear Energy ◽

10.1016/j.anucene.2015.01.015 ◽

2015 ◽

Vol 86 ◽

pp. 13-22 ◽

Author(s):

B.D. Ganapol

Keyword(s):

Particle Transport ◽

Approximate Model ◽

Efficient Implementation ◽

Discrete Ordinates ◽

Discrete Ordinates Method

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Improved Discrete Ordinates Calculations for an Approximate Model of Neutral Particle Transport in Ducts

Nuclear Science and Engineering ◽

10.13182/nse99-1 ◽

1999 ◽

Vol 133 (1) ◽

pp. 40-54 ◽

Author(s):

Roberto D. M. Garcia ◽

Shizuca Ono

Keyword(s):

Particle Transport ◽

Neutral Particle ◽

Approximate Model ◽

Discrete Ordinates ◽

Neutral Particle Transport

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Adaptive characteristic spatial quadratures for discrete ordinates neutral particle transport—the rectangular cell case

Transport Theory and Statistical Physics ◽

10.1080/00411459308203836 ◽

1993 ◽

Vol 22 (5) ◽

pp. 655-685 ◽

Author(s):

Kirk A. Mathews ◽

Bryan M. Minor

Keyword(s):

Particle Transport ◽

Neutral Particle ◽

Discrete Ordinates ◽

Rectangular Cell ◽

Neutral Particle Transport

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Analytical Discrete Ordinates Solution for a 1D Model of Particle Transport in Ducts that Includes Wall Migration

Nuclear Science and Engineering ◽

10.1080/00295639.2021.1975480 ◽

2021 ◽

pp. 1-26

Author(s):

R. D. M. Garcia

Keyword(s):

Particle Transport ◽

Discrete Ordinates ◽

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Adaptive characteristic spatial quadratures for discrete ordinates neutral particle transport – The slab geometry case

Transport Theory and Statistical Physics ◽

10.1080/00411459008260818 ◽

1990 ◽

Vol 19 (6) ◽

pp. 419-458 ◽

Author(s):

Kirk A. Mathews

Keyword(s):

Particle Transport ◽

Neutral Particle ◽

Discrete Ordinates ◽

Slab Geometry ◽

Neutral Particle Transport

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A discrete ordinates solution of the Fokker-Planck equation characterizing charged particle transport

Journal of Computational Physics ◽

10.1016/0021-9991(80)90013-3 ◽

1980 ◽

Vol 38 (1) ◽

pp. 86-106 ◽

Author(s):

Thomas A. Mehlhorn ◽

James J. Duderstadt

Keyword(s):

Charged Particle ◽

Particle Transport ◽

Planck Equation ◽

Discrete Ordinates ◽

Fokker Planck Equation ◽

Charged Particle Transport ◽

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Analytical Discrete-Ordinates Solution for 3D Particle Transport in Ducts as Described by a 1D Model with Three Basis Functions

Journal of Computational and Theoretical Transport ◽

10.1080/23324309.2016.1167741 ◽

2016 ◽

Vol 45 (5) ◽

pp. 335-350 ◽

Author(s):

R. D. M. Garcia

Keyword(s):

Particle Transport ◽

Basis Functions ◽

Discrete Ordinates ◽

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Asymptotic convergence of the angular discretization error in the scalar flux computed from the particle transport equation with the method of discrete ordinates

Annals of Nuclear Energy ◽

10.1016/j.anucene.2019.107199 ◽

2020 ◽

Vol 138 ◽

pp. 107199

Author(s):

Xiaoyu Hu ◽

Yousry Y. Azmy

Keyword(s):

Transport Equation ◽

Particle Transport ◽

Discretization Error ◽

Discrete Ordinates ◽

Asymptotic Convergence ◽

Scalar Flux ◽

Angular Discretization

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Discrete ordinates analysis of the forced-flight variance reduction technique in Monte Carlo neutral particle transport simulations

Journal of Computational Physics ◽

10.1016/j.jcp.2020.109997 ◽

2020 ◽

pp. 109997

Author(s):

Joel A. Kulesza ◽

Clell J. Solomon ◽

Brian C. Kiedrowski

Keyword(s):

Monte Carlo ◽

Particle Transport ◽

Variance Reduction ◽

Neutral Particle ◽

Reduction Technique ◽

Discrete Ordinates ◽

Neutral Particle Transport ◽

Variance Reduction Technique

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The Analytical Discrete Ordinates Method for a One-Dimensional Model of Neutral Particle Transport in Ducts

Nuclear Science and Engineering ◽

10.13182/nse13-45 ◽

2014 ◽

Vol 177 (1) ◽

pp. 35-51 ◽

Author(s):

R. D. M. Garcia

Keyword(s):

Particle Transport ◽

Neutral Particle ◽

Discrete Ordinates ◽

Dimensional Model ◽

Discrete Ordinates Method ◽

One Dimensional ◽

Neutral Particle Transport

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