Mesh-free RBF collocation method to solve the multi-group SN neutron transport equation in arbitrary domains

Annals of Nuclear Energy ◽

10.1016/j.anucene.2018.05.031 ◽

2018 ◽

Vol 120 ◽

pp. 118-126 ◽

Author(s):

S. Kashi ◽

A. Minuchehr ◽

A. Zolfaghari ◽

B. Rokrok

Keyword(s):

Transport Equation ◽

Collocation Method ◽

Neutron Transport ◽

Neutron Transport Equation ◽

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Two-dimensional Haar wavelet Collocation Method for the solution of Stationary Neutron Transport Equation in a homogeneous isotropic medium

Annals of Nuclear Energy ◽

10.1016/j.anucene.2014.01.046 ◽

2014 ◽

Vol 70 ◽

pp. 30-35 ◽

Author(s):

A. Patra ◽

S. Saha Ray

Keyword(s):

Transport Equation ◽

Collocation Method ◽

Isotropic Medium ◽

Neutron Transport ◽

Haar Wavelet ◽

Two Dimensional ◽

Neutron Transport Equation ◽

Wavelet Collocation Method

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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

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Numerical Solution Using Two- Dimensional Haar Wavelet Collocation Method for Stationary Neutron Transport Equation in Homogeneous Isotropic Medium

Fractional Calculus with Applications for Nuclear Reactor Dynamics ◽

10.1201/b18684-13 ◽

2015 ◽

pp. 196-223

Keyword(s):

Numerical Solution ◽

Transport Equation ◽

Collocation Method ◽

Isotropic Medium ◽

Neutron Transport ◽

Haar Wavelet ◽

Two Dimensional ◽

Neutron Transport Equation ◽

Wavelet Collocation Method

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A mesh-free treatment for even parity neutron transport equation

Annals of Nuclear Energy ◽

10.1016/j.anucene.2021.108292 ◽

2021 ◽

Vol 158 ◽

pp. 108292

Author(s):

A. Alizadeh ◽

M. Abbasi ◽

A. Minuchehr ◽

A. Zolfaghari

Keyword(s):

Transport Equation ◽

Neutron Transport ◽

Neutron Transport Equation ◽

Mesh Free ◽

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Fully meshless solution of the one-dimensional multigroup neutron transport equation with the radial basis function collocation method

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2019.08.037 ◽

2020 ◽

Vol 79 (5) ◽

pp. 1266-1286

Author(s):

T. Tanbay ◽

B. Ozgener

Keyword(s):

Radial Basis Function ◽

Transport Equation ◽

Collocation Method ◽

Basis Function ◽

Neutron Transport ◽

Neutron Transport Equation ◽

One Dimensional ◽

Radial Basis ◽

The One ◽

Multigroup Neutron

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A collocation method for the neutron transport equation

Transport Theory and Statistical Physics ◽

10.1080/00411458308211637 ◽

1983 ◽

Vol 12 (3) ◽

pp. 307-321 ◽

Author(s):

Lawrence M. Grossman

Keyword(s):

Transport Equation ◽

Collocation Method ◽

Neutron Transport ◽

Neutron Transport Equation

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Collocation method for the solution of the neutron transport equation with both symmetric and asymmetric scattering

10.2172/6664354 ◽

1981 ◽

Author(s):

J.E. Morel

Keyword(s):

Transport Equation ◽

Collocation Method ◽

Neutron Transport ◽

Neutron Transport Equation

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Numerical simulation for fractional order stationary neutron transport equation using Haar wavelet collocation method

Nuclear Engineering and Design ◽

10.1016/j.nucengdes.2014.07.010 ◽

2014 ◽

Vol 278 ◽

pp. 71-85 ◽

Author(s):

S. Saha Ray ◽

A. Patra

Keyword(s):

Numerical Simulation ◽

Transport Equation ◽

Collocation Method ◽

Fractional Order ◽

Neutron Transport ◽

Haar Wavelet ◽

Neutron Transport Equation ◽

Wavelet Collocation 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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High-Dimensional Model Representations for the Neutron Transport Equation

Nuclear Science and Engineering ◽

10.13182/nse13-52 ◽

2014 ◽

Vol 177 (3) ◽

pp. 350-360 ◽

Author(s):

Zhengzheng Hu ◽

Ralph C. Smith ◽

Jeffrey Willert ◽

C. T. Kelley

Keyword(s):

Transport Equation ◽

Neutron Transport ◽

High Dimensional ◽

Dimensional Model ◽

Neutron Transport Equation

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