The solution of the time-independent multi-group neutron transport equation using spherical harmonics

Annals of Nuclear Energy ◽

10.1016/0306-4549(77)90012-3 ◽

1977 ◽

Vol 4 (9-10) ◽

pp. 401-405 ◽

Author(s):

J.K. Fletcher

Keyword(s):

Transport Equation ◽

Spherical Harmonics ◽

Neutron Transport ◽

Neutron Transport Equation

Download Full-text

Cellular neural network to the spherical harmonics approximation of neutron transport equation in x–y geometry

Annals of Nuclear Energy ◽

10.1016/j.anucene.2012.05.007 ◽

2012 ◽

Vol 47 ◽

pp. 225-233 ◽

Author(s):

Ahmad Pirouzmand ◽

Kamal Hadad

Keyword(s):

Neural Network ◽

Transport Equation ◽

Spherical Harmonics ◽

Neutron Transport ◽

Cellular Neural Network ◽

Neutron Transport Equation

Download Full-text

An extended half-range spherical harmonics method for first-order neutron transport equation based on variational treatment

Progress in Nuclear Energy ◽

10.1016/j.pnucene.2017.07.010 ◽

2017 ◽

Vol 100 ◽

pp. 389-405 ◽

Author(s):

S.H. Ghazaie ◽

A. Zolfaghari ◽

M. Abbasi

Keyword(s):

Transport Equation ◽

Spherical Harmonics ◽

Neutron Transport ◽

Neutron Transport Equation ◽

First Order ◽

Variational Treatment

Download Full-text

Variational boundary conditions for the spherical harmonics approximation to the neutron transport equation

Annals of Physics ◽

10.1016/0003-4916(64)90105-8 ◽

1964 ◽

Vol 27 (2) ◽

pp. 193-215 ◽

Author(s):

G.C Pomraning

Keyword(s):

Boundary Conditions ◽

Transport Equation ◽

Spherical Harmonics ◽

Neutron Transport ◽

Neutron Transport Equation

Download Full-text

A nodal solution of the multigroup neutron transport equation using spherical harmonics

Annals of Nuclear Energy ◽

10.1016/0306-4549(88)90066-7 ◽

1988 ◽

Vol 15 (10-11) ◽

pp. 501-509 ◽

Author(s):

F. Inanc ◽

A.F. Rohach

Keyword(s):

Transport Equation ◽

Spherical Harmonics ◽

Neutron Transport ◽

Nodal Solution ◽

Neutron Transport Equation ◽

Multigroup Neutron

Download Full-text

A modular nodal method for solving the neutron transport equation using spherical harmonics in two dimensions

10.31274/rtd-180813-12630 ◽

1989 ◽

Author(s):

Feyzi Inanc

Keyword(s):

Transport Equation ◽

Spherical Harmonics ◽

Neutron Transport ◽

Two Dimensions ◽

Neutron Transport Equation ◽

Download Full-text

Solution of multi-dimensional neutron transport equation of the spherical harmonics method using the finite Fourier transformation and quadrature formula

Transport Theory and Statistical Physics ◽

10.1080/00411458508211670 ◽

1985 ◽

Vol 14 (1) ◽

pp. 63-81 ◽

Author(s):

Keisuke Kobayashi

Keyword(s):

Transport Equation ◽

Quadrature Formula ◽

Spherical Harmonics ◽

Fourier Transformation ◽

Neutron Transport ◽

Neutron Transport Equation

Download Full-text

The Solution of the Multigroup Neutron Transport Equation Using Spherical Harmonics

Nuclear Science and Engineering ◽

10.13182/nse83-a17455 ◽

1983 ◽

Vol 84 (1) ◽

pp. 33-46 ◽

Author(s):

J. K. Fletcher

Keyword(s):

Transport Equation ◽

Spherical Harmonics ◽

Neutron Transport ◽

Neutron Transport Equation ◽

Multigroup Neutron

Download Full-text

A numerically stable spherical harmonics solution for the neutron transport equation in a spherical shell

Journal of Computational Physics ◽

10.1016/j.jcp.2019.109139 ◽

2020 ◽

Vol 405 ◽

pp. 109139 ◽

Author(s):

R.D.M. Garcia

Keyword(s):

Spherical Shell ◽

Transport Equation ◽

Spherical Harmonics ◽

Neutron Transport ◽

Neutron Transport Equation

Download Full-text

A modular spherical harmonics approach to the neutron transport equation

Annals of Nuclear Energy ◽

10.1016/0306-4549(89)90021-2 ◽

1989 ◽

Vol 16 (7) ◽

pp. 327-335 ◽

Author(s):

F. Inanc ◽

A.F. Rohach

Keyword(s):

Transport Equation ◽

Spherical Harmonics ◽

Neutron Transport ◽

Neutron Transport Equation

Download Full-text

A spherical harmonics—Finite element discretization of the self-adjoint angular flux neutron transport equation

Nuclear Engineering and Design ◽

10.1016/j.nucengdes.2007.04.004 ◽

2007 ◽

Vol 237 (23) ◽

pp. 2232-2239 ◽

Author(s):

Liangzhi Cao ◽

Hongchun Wu

Keyword(s):

Finite Element ◽

Transport Equation ◽

Spherical Harmonics ◽

Neutron Transport ◽

The Self ◽

Neutron Transport Equation ◽

Finite Element Discretization ◽

Element Discretization

Download Full-text