A response matrix spectral nodal method for energy multigroup X,Y-geometry discrete ordinates problems in non-multiplying media

Progress in Nuclear Energy ◽

10.1016/j.pnucene.2020.103288 ◽

2020 ◽

Vol 125 ◽

pp. 103288

Author(s):

Odair Pinheiro da Silva ◽

Mateus R. Guida ◽

Hermes Alves Filho ◽

Ricardo C. Barros

Keyword(s):

Discrete Ordinates ◽

Response Matrix ◽

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An exponential spectral nodal method for one-speed X,Y-geometry deep penetration discrete ordinates problems

Annals of Nuclear Energy ◽

10.1016/s0306-4549(02)00013-0 ◽

2002 ◽

Vol 29 (15) ◽

pp. 1855-1869 ◽

Author(s):

José Antonio M. de Mello ◽

Ricardo C. Barros

Keyword(s):

Discrete Ordinates ◽

Deep Penetration ◽

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Shifting Strategy in the Spectral Analysis for the Spectral Green’s Function Nodal Method for Slab-Geometry Adjoint Transport Problems in the Discrete Ordinates Formulation

Integral Methods in Science and Engineering, Volume 2 ◽

10.1007/978-3-319-59387-6_20 ◽

2017 ◽

pp. 201-210

Author(s):

J. P. Curbelo ◽

O. P. da Silva ◽

C. R. García ◽

R. C. Barros

Keyword(s):

Spectral Analysis ◽

Green’S Function ◽

Green's Function ◽

Discrete Ordinates ◽

Slab Geometry ◽

Nodal Method ◽

Shifting Strategy ◽

Adjoint Transport ◽

Transport Problems

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A self-consistent nodal method in response matrix formalism for the multigroup diffusion equations

Annals of Nuclear Energy ◽

10.1016/0306-4549(95)00042-q ◽

1996 ◽

Vol 23 (2) ◽

pp. 99-118 ◽

Author(s):

E.M. Malambu ◽

E.H. Mund

Keyword(s):

Diffusion Equations ◽

Matrix Formalism ◽

Response Matrix ◽

Nodal Method ◽

Self Consistent

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Analytical reconstruction scheme for the coarse-mesh solution generated by the spectral nodal method for neutral particle discrete ordinates transport model in slab geometry

Annals of Nuclear Energy ◽

10.1016/j.anucene.2010.06.019 ◽

2010 ◽

Vol 37 (11) ◽

pp. 1461-1466 ◽

Author(s):

Ricardo C. Barros ◽

Hermes Alves Filho ◽

Gustavo M. Platt ◽

Francisco Bruno S. Oliveira ◽

Damiano S. Militão

Keyword(s):

Neutral Particle ◽

Transport Model ◽

Discrete Ordinates ◽

Coarse Mesh ◽

Slab Geometry ◽

Reconstruction Scheme ◽

Nodal Method ◽

Analytical Reconstruction

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Exponential Function Expansion Nodal Diffusion Method

18th International Conference on Nuclear Engineering: Volume 2 ◽

10.1115/icone18-29447 ◽

2010 ◽

Author(s):

Yunzhao Li ◽

Hongchun Wu ◽

Liangzhi Cao ◽

Qichang Chen

Keyword(s):

Exponential Function ◽

Flux Distribution ◽

Diffusion Method ◽

Response Matrix ◽

Nodal Method ◽

Function Expansion ◽

Diffusion Calculation ◽

Nodal Diffusion ◽

Triangular Block ◽

Neutron Diffusion Equation

An exponential function expansion nodal diffusion method is proposed to take care of diffusion calculation in unstructured geometry. Transverse integral technique is widely used in nodal method in regular geometry, such as rectangular and hexagonal, while improper in arbitrary triangular geometry because of the mathematical singularity. In this paper, nodal response matrix is derived by expanding detailed nodal flux distribution into a sum of exponential functions, and nodal balance equation can be obtained by strict integral in the polygonal node. Numerical results illustrate that the exponential function expansion nodal method in rectangular and triangular block can solve neutron diffusion equation in regular and irregular geometry.

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A hybrid spectral nodal method for multigroup X,Y-geometry discrete ordinates eigenvalue problems

Progress in Nuclear Energy ◽

10.1016/j.pnucene.2016.11.003 ◽

2017 ◽

Vol 95 ◽

pp. 33-39 ◽

Author(s):

Davi José M. Silva ◽

Hermes Alves Filho ◽

Ricardo C. Barros

Keyword(s):

Eigenvalue Problems ◽

Discrete Ordinates ◽

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A spectral nodal method for one-group X,Y,Z-cartesian geometry discrete ordinates problems

Annals of Nuclear Energy ◽

10.1016/0306-4549(95)00064-x ◽

1996 ◽

Vol 23 (8) ◽

pp. 669-680 ◽

Author(s):

F. Anli ◽

S. Güngör

Keyword(s):

Discrete Ordinates ◽

Nodal Method ◽

Cartesian Geometry

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Composite spatial grid spectral nodal method for one-speed discrete ordinates deep penetration problems in X,Y geometry

Progress in Nuclear Energy ◽

10.1016/j.pnucene.2009.04.004 ◽

2010 ◽

Vol 52 (3) ◽

pp. 298-303 ◽

Author(s):

Dany S. Dominguez ◽

Francisco B.S. Oliveira ◽

Hermes Alves Filho ◽

Ricardo C. Barros

Keyword(s):

Discrete Ordinates ◽

Deep Penetration ◽

Nodal Method ◽

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Analytical spatial reconstruction scheme for the coarse-mesh solutions generated by the constant spectral nodal method for monoenergetic discrete ordinates transport calculations in X,Y geometry fission–chain reacting systems

Annals of Nuclear Energy ◽

10.1016/j.anucene.2012.08.029 ◽

2013 ◽

Vol 53 ◽

pp. 274-279 ◽

Author(s):

Welton A. Menezes ◽

Hermes Alves Filho ◽

Ricardo C. Barros ◽

Caroline S. Moraes ◽

Dany S. Dominguez

Keyword(s):

Discrete Ordinates ◽

Coarse Mesh ◽

Reconstruction Scheme ◽

Nodal Method ◽

Spatial Reconstruction ◽

Reacting Systems

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A Massively Parallel Discrete Ordinates Response Matrix Method for Neutron Transport

Nuclear Science and Engineering ◽

10.13182/nse92-a23922 ◽

1992 ◽

Vol 111 (1) ◽

pp. 46-56 ◽

Author(s):

U. R. Hanebutte ◽

E. E. Lewis

Keyword(s):

Matrix Method ◽

Neutron Transport ◽

Massively Parallel ◽

Discrete Ordinates ◽

Response Matrix

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