Discontinuous finite element discretizations for the SN neutron transport equation in problems with spatially varying cross sections

Annals of Nuclear Energy ◽

10.1016/j.anucene.2014.06.050 ◽

2014 ◽

Vol 73 ◽

pp. 506-526 ◽

Author(s):

Peter G. Maginot ◽

Jean C. Ragusa ◽

Jim E. Morel

Keyword(s):

Finite Element ◽

Transport Equation ◽

Cross Sections ◽

Neutron Transport ◽

Neutron Transport Equation ◽

Finite Element Discretizations ◽

Discontinuous Finite Element ◽

Spatially Varying ◽

Element Discretizations

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Discontinuous Finite Element Method for Solving the Two-Dimesional Neutron Transport Equation on Lagrangian Meshes

Nuclear Science and Engineering ◽

10.13182/nse86-a18166 ◽

1986 ◽

Vol 92 (2) ◽

pp. 197-203 ◽

Author(s):

G. Samba

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Transport Equation ◽

Neutron Transport ◽

Neutron Transport Equation ◽

Discontinuous Finite Element ◽

Discontinuous Finite Element Method ◽

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Adaptive refinement for P N neutron transport equation based on conjoint variational formulation and discontinuous finite element method

Progress in Nuclear Energy ◽

10.1016/j.pnucene.2017.08.009 ◽

2018 ◽

Vol 104 ◽

pp. 16-31 ◽

Author(s):

KH. Sadeghi ◽

M. Abbasi ◽

A. Zolfaghari

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Transport Equation ◽

Variational Formulation ◽

Neutron Transport ◽

Adaptive Refinement ◽

Neutron Transport Equation ◽

Discontinuous Finite Element ◽

Discontinuous Finite Element Method ◽

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Dual basis and characteristic discontinuous finite element discretizations for the Boltzmann transport equation

Transport Theory and Statistical Physics ◽

10.1080/00411450008214529 ◽

2000 ◽

Vol 29 (6) ◽

pp. 681-697 ◽

Author(s):

C. C. Pain ◽

C. R. E. de Oliveira ◽

A. J. H. Goddard

Keyword(s):

Finite Element ◽

Transport Equation ◽

Boltzmann Transport Equation ◽

Boltzmann Transport ◽

Finite Element Discretizations ◽

Discontinuous Finite Element ◽

Element Discretizations

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A discontinuous finite element method based on B-spline wavelet on the interval for solving first-order neutron transport equation with discrete ordinate (SN) angular discretisation

Annals of Nuclear Energy ◽

10.1016/j.anucene.2021.108511 ◽

2021 ◽

Vol 162 ◽

pp. 108511

Author(s):

Hewei Guo ◽

Wei Chen ◽

Xinbiao Jiang ◽

Duoyu Jiang ◽

Xinyi Zhang

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Transport Equation ◽

Neutron Transport ◽

Neutron Transport Equation ◽

Discrete Ordinate ◽

B Spline ◽

First Order ◽

Discontinuous Finite Element ◽

Discontinuous Finite Element Method

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A finite element approach for treating the energy variable in the numerical solution of the neutron transport equation

Transport Theory and Statistical Physics ◽

10.1080/00411458608212681 ◽

1986 ◽

Vol 15 (4) ◽

pp. 449-478 ◽

Author(s):

E. J. Allen

Keyword(s):

Finite Element ◽

Numerical Solution ◽

Transport Equation ◽

Neutron Transport ◽

Neutron Transport Equation ◽

Finite Element Approach ◽

Element Approach ◽

Energy Variable

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A multi group finite-element solution of the neutron transport equation—II

Annals of Nuclear Energy ◽

10.1016/0306-4549(85)90105-7 ◽

1985 ◽

Vol 12 (5) ◽

pp. 217-231 ◽

Author(s):

J. Wood

Keyword(s):

Finite Element ◽

Transport Equation ◽

Neutron Transport ◽

Finite Element Solution ◽

Element Solution ◽

Neutron Transport Equation

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Least-Squares Finite Element Discretization of the Neutron Transport Equation in Spherical Geometry

SIAM Journal on Scientific Computing ◽

10.1137/140975152 ◽

2015 ◽

Vol 37 (5) ◽

pp. S71-S89 ◽

Author(s):

C. Ketelsen ◽

T. Manteuffel ◽

J. B. Schroder

Keyword(s):

Finite Element ◽

Transport Equation ◽

Least Squares ◽

Neutron Transport ◽

Spherical Geometry ◽

Neutron Transport Equation ◽

Finite Element Discretization ◽

Element Discretization

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Analysis of ``p''-Multigrid for Continuous and Discontinuous Finite Element Discretizations

16th AIAA Computational Fluid Dynamics Conference ◽

10.2514/6.2003-3989 ◽

2003 ◽

Author(s):

Brian Helenbrook ◽

Dimitri Mavriplis ◽

Harold Atkins

Keyword(s):

Finite Element ◽

Finite Element Discretizations ◽

Discontinuous Finite Element ◽

Element Discretizations

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Nodal finite element approximations for the neutron transport equation

Mathematics and Computers in Simulation ◽

10.1016/j.matcom.2010.04.010 ◽

2010 ◽

Vol 80 (11) ◽

pp. 2168-2176 ◽

Author(s):

Jean-Pierre Hennart ◽

Edmundo del Valle

Keyword(s):

Finite Element ◽

Transport Equation ◽

Neutron Transport ◽

Neutron Transport Equation ◽

Finite Element Approximations

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SOLUTION OF THE TWO‐DIMENSIONAL NEUTRON TRANSPORT EQUATION BY A HIERARCHICAL FINITE ELEMENT METHOD

International Journal of Numerical Methods for Heat &amp Fluid Flow ◽

10.1108/eb017514 ◽

1993 ◽

Vol 3 (1) ◽

pp. 35-47 ◽

Author(s):

AWONO ONANA ◽

S. YUNKAP KWANKAM ◽

MVOGO NGONO JOSEPH

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Transport Equation ◽

Neutron Transport ◽

Two Dimensional ◽

Neutron Transport Equation ◽

Hierarchical Finite Element Method ◽

Element Method ◽

Hierarchical Finite Element

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