Nodal Integral method for multi-group neutron diffusion equation in three dimensional cylindrical coordinate system

Annals of Nuclear Energy ◽

10.1016/j.anucene.2020.107904 ◽

2021 ◽

Vol 151 ◽

pp. 107904

Author(s):

Manish Raj ◽

Suneet Singh

Keyword(s):

Diffusion Equation ◽

Coordinate System ◽

Integral Method ◽

Three Dimensional ◽

Cylindrical Coordinate System ◽

Neutron Diffusion ◽

Cylindrical Coordinate ◽

Nodal Integral Method ◽

Neutron Diffusion Equation

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Error Analysis of the Nodal Integral Method for Solving the Neutron Diffusion Equation in Two-Dimensional Cartesian Geometry

Nuclear Science and Engineering ◽

10.13182/nse162-215 ◽

2009 ◽

Vol 162 (3) ◽

pp. 215-233

Author(s):

R. M. Ferrer ◽

Y. Y. Azmy

Keyword(s):

Diffusion Equation ◽

Error Analysis ◽

Integral Method ◽

Neutron Diffusion ◽

Two Dimensional ◽

Cartesian Geometry ◽

Nodal Integral Method ◽

Neutron Diffusion Equation

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Solution of neutron diffusion equation in 2d polar (r,θ) coordinates using Nodal Integral Method

Annals of Nuclear Energy ◽

10.1016/j.anucene.2017.02.025 ◽

2017 ◽

Vol 105 ◽

pp. 69-78 ◽

Cited By ~ 1

Author(s):

Manish Raj ◽

Suneet Singh

Keyword(s):

Diffusion Equation ◽

Integral Method ◽

Neutron Diffusion ◽

Nodal Integral Method ◽

Neutron Diffusion Equation

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Variational nodal method for three-dimensional multigroup neutron diffusion equation based on arbitrary triangular prism

Annals of Nuclear Energy ◽

10.1016/j.anucene.2021.108285 ◽

2021 ◽

Vol 158 ◽

pp. 108285

Author(s):

Kun Zhuang ◽

Wen Shang ◽

Ting Li ◽

Jiangtao Yan ◽

Sipeng Wang ◽

...

Keyword(s):

Diffusion Equation ◽

Three Dimensional ◽

Triangular Prism ◽

Neutron Diffusion ◽

Nodal Method ◽

Multigroup Neutron ◽

Neutron Diffusion Equation

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Three-dimensional transient Navier-Stokes solvers in cylindrical coordinate system based on a spectral collocation method using explicit treatment of the pressure

International Journal for Numerical Methods in Fluids ◽

10.1002/fld.2257 ◽

2011 ◽

Vol 66 (3) ◽

pp. 284-298 ◽

Cited By ~ 15

Author(s):

Ben-Wen Li ◽

Yu-Rong Zhao ◽

Yang Yu ◽

Zhong-Dong Qian

Keyword(s):

Coordinate System ◽

Collocation Method ◽

Three Dimensional ◽

Spectral Collocation Method ◽

Cylindrical Coordinate System ◽

Navier Stokes ◽

Spectral Collocation ◽

Cylindrical Coordinate

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A three-dimensional unconditionally stable ADI-FDTD method in the cylindrical coordinate system

IEEE Transactions on Microwave Theory and Techniques ◽

10.1109/tmtt.2002.803450 ◽

2002 ◽

Vol 50 (10) ◽

pp. 2401-2405 ◽

Cited By ~ 15

Author(s):

Chenghao Yuan ◽

Zhizhang Chen

Keyword(s):

Coordinate System ◽

Fdtd Method ◽

Three Dimensional ◽

Cylindrical Coordinate System ◽

Unconditionally Stable ◽

Cylindrical Coordinate

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Efficiency and implementation of alternating direction implicate method for neutron diffusion equation in three-dimensional space

Journal of Physics Conference Series ◽

10.1088/1742-6596/1133/1/012050 ◽

2018 ◽

Vol 1133 ◽

pp. 012050 ◽

Cited By ~ 2

Author(s):

P A Pugachev ◽

A M Sirotkin ◽

V I Romanenko ◽

R B Bahdanovich

Keyword(s):

Diffusion Equation ◽

Dimensional Space ◽

Three Dimensional ◽

Neutron Diffusion ◽

Alternating Direction ◽

Neutron Diffusion Equation ◽

Three Dimensional Space

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Numerical method for solving the three-dimensional time-dependent neutron diffusion equation

International Journal of Nuclear Energy Science and Technology ◽

10.1504/ijnest.2005.008556 ◽

2005 ◽

Vol 1 (4) ◽

pp. 279

Author(s):

S.M. Khaled ◽

Z. Szatmary

Keyword(s):

Diffusion Equation ◽

Numerical Method ◽

Three Dimensional ◽

Time Dependent ◽

Neutron Diffusion ◽

Neutron Diffusion Equation

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Development of Galerkin Finite Element Method Three-dimensional Computational Code for the Multigroup Neutron Diffusion Equation with Unstructured Tetrahedron Elements

Nuclear Engineering and Technology ◽

10.1016/j.net.2015.10.009 ◽

2016 ◽

Vol 48 (1) ◽

pp. 43-54 ◽

Cited By ~ 12

Author(s):

Seyed Abolfazl Hosseini

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Diffusion Equation ◽

Three Dimensional ◽

Neutron Diffusion ◽

Galerkin Finite Element Method ◽

Galerkin Finite Element ◽

Computational Code ◽

Multigroup Neutron ◽

Neutron Diffusion Equation

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A three-dimensional nodal solution for the frequency dependent neutron diffusion equation

10.31274/rtd-180813-10641 ◽

1987 ◽

Author(s):

Abdulghani M. Melaibari

Keyword(s):

Diffusion Equation ◽

Three Dimensional ◽

Neutron Diffusion ◽

Nodal Solution ◽

Frequency Dependent ◽

Neutron Diffusion Equation

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A Leakage Iterative Method for Solving the Three-Dimensional Neutron Diffusion Equation

Nuclear Science and Engineering ◽

10.13182/nse75-a28221 ◽

1975 ◽

Vol 58 (2) ◽

pp. 182-192 ◽

Cited By ~ 11

Author(s):

Y. Naito ◽

M. Maekawa ◽

K. Shibuya

Keyword(s):

Diffusion Equation ◽

Iterative Method ◽

Three Dimensional ◽

Neutron Diffusion ◽

Neutron Diffusion Equation

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