Analytical Tests for Ray Effect Errors in Discrete Ordinate Methods for Solving the Neutron Transport Equation

Mapping Intimacies ◽

10.2172/15014046 ◽

2004 ◽

Author(s):

B Chang

Keyword(s):

Transport Equation ◽

Neutron Transport ◽

Neutron Transport Equation ◽

Discrete Ordinate

Download Full-text

A geometry conforming isogeometric method for the self-adjoint angular flux (SAAF) form of the neutron transport equation with a discrete ordinate (SN) angular discretisation

Annals of Nuclear Energy ◽

10.1016/j.anucene.2019.107049 ◽

2020 ◽

Vol 136 ◽

pp. 107049 ◽

Author(s):

C. Latimer ◽

J. Kópházi ◽

M.D. Eaton ◽

R.G. McClarren

Keyword(s):

Transport Equation ◽

Neutron Transport ◽

The Self ◽

Neutron Transport Equation ◽

Discrete Ordinate

Download Full-text

Mesh-free method for numerical solution of the multi-group discrete ordinate neutron transport equation

Annals of Nuclear Energy ◽

10.1016/j.anucene.2017.03.034 ◽

2017 ◽

Vol 106 ◽

pp. 51-63 ◽

Author(s):

S. Kashi ◽

A. Minuchehr ◽

A. Zolfaghari ◽

B. Rokrok

Keyword(s):

Numerical Solution ◽

Transport Equation ◽

Neutron Transport ◽

Neutron Transport Equation ◽

Discrete Ordinate ◽

Mesh Free ◽

Mesh Free Method

Download Full-text

Discontinuous isogeometric analysis methods for the first-order form of the neutron transport equation with discrete ordinate (S) angular discretisation

Journal of Computational Physics ◽

10.1016/j.jcp.2016.03.060 ◽

2016 ◽

Vol 315 ◽

pp. 501-535 ◽

Author(s):

A.R. Owens ◽

J.A. Welch ◽

J. Kópházi ◽

M.D. Eaton

Keyword(s):

Transport Equation ◽

Isogeometric Analysis ◽

Neutron Transport ◽

Neutron Transport Equation ◽

Discrete Ordinate ◽

First Order ◽

Analysis Methods

Download Full-text

Spherical Harmonic Solutions of the Neutron Transport Equation from Discrete Ordinate Codes

Nuclear Science and Engineering ◽

10.13182/nse72-a22523 ◽

1972 ◽

Vol 49 (1) ◽

pp. 10-19 ◽

Author(s):

Wm. H. Reed

Keyword(s):

Transport Equation ◽

Spherical Harmonic ◽

Neutron Transport ◽

Neutron Transport Equation ◽

Discrete Ordinate

Download Full-text

Discontinuous Galerkin spatial discretisation of the neutron transport equation with pyramid finite elements and a discrete ordinate (SN) angular approximation

Annals of Nuclear Energy ◽

10.1016/j.anucene.2017.11.003 ◽

2018 ◽

Vol 113 ◽

pp. 526-535 ◽

Author(s):

B. O’Malley ◽

J. Kópházi ◽

M.D. Eaton ◽

V. Badalassi ◽

P. Warner ◽

...

Keyword(s):

Finite Elements ◽

Transport Equation ◽

Discontinuous Galerkin ◽

Neutron Transport ◽

Neutron Transport Equation ◽

Discrete Ordinate ◽

Spatial Discretisation

Download Full-text

Discrete Ordinate Neutron Transport Equation Equivalent to PL Approximation

Nuclear Science and Engineering ◽

10.13182/nse49-01-01 ◽

1972 ◽

Vol 49 (1) ◽

pp. 1-9 ◽

Author(s):

Jungchung Jung ◽

Hiroshi Chijiwa ◽

Keisuke Kobayashi ◽

Hiroshi Nishihara

Keyword(s):

Transport Equation ◽

Neutron Transport ◽

Neutron Transport Equation ◽

Discrete Ordinate

Download Full-text

Discrete Ordinate Neutron Transport Equation for Two-Dimensional Triangular Geometry by Finite Fourier Transformation

Journal of Nuclear Science and Technology ◽

10.1080/18811248.1982.9734159 ◽

1982 ◽

Vol 19 (5) ◽

pp. 384-392

Author(s):

Keisuke KOBAYASHI

Keyword(s):

Transport Equation ◽

Fourier Transformation ◽

Neutron Transport ◽

Two Dimensional ◽

Neutron Transport Equation ◽

Discrete Ordinate

Download Full-text

A geometry conforming, isogeometric, weighted least squares (WLS) method for the neutron transport equation with discrete ordinate (SN) angular discretisation

Progress in Nuclear Energy ◽

10.1016/j.pnucene.2019.103238 ◽

2020 ◽

Vol 121 ◽

pp. 103238 ◽

Author(s):

C. Latimer ◽

J. Kópházi ◽

M.D. Eaton ◽

R.G. McClarren

Keyword(s):

Transport Equation ◽

Least Squares ◽

Neutron Transport ◽

Weighted Least Squares ◽

Neutron Transport Equation ◽

Discrete Ordinate

Download Full-text

On the Spatial Differencing of the Discrete Ordinate Neutron Transport Equation

SIAM Journal on Numerical Analysis ◽

10.1137/0715056 ◽

1978 ◽

Vol 15 (5) ◽

pp. 859-869 ◽

Author(s):

Juhani Pitkäranta

Keyword(s):

Transport Equation ◽

Neutron Transport ◽

Neutron Transport Equation ◽

Discrete Ordinate

Download Full-text

An adaptive, hanging-node, discontinuous isogeometric analysis method for the first-order form of the neutron transport equation with discrete ordinate (SN) angular discretisation

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2017.01.036 ◽

2017 ◽

Vol 318 ◽

pp. 215-241 ◽

Author(s):

A.R. Owens ◽

J.A. Welch ◽

J. Kópházi ◽

M.D. Eaton

Keyword(s):

Transport Equation ◽

Isogeometric Analysis ◽

Neutron Transport ◽

Analysis Method ◽

Neutron Transport Equation ◽

Discrete Ordinate ◽

First Order ◽

Hanging Node ◽

Download Full-text