Nodal finite element approximations for the neutron transport equation

Jean Pierre Hennart; Edmundo Del Valle

doi:10.1016/j.matcom.2010.04.010

Nodal finite element approximations for the neutron transport equation

Título traducido de la contribución: Aproximaciones de elementos finitos nodales para la ecuación de transporte de neutrones

Jean Pierre Hennart, Edmundo Del Valle

Escuela Superior de Física y Matemáticas (ESFM)

Producción científica: Contribución a una revista › Artículo › revisión exhaustiva

4 Citas (Scopus)

Resumen

Two classes of nodal methods, weakly and strongly discontinuous, are introduced and applied to the numerical solution of the neutron transport equation in two-dimensional Cartesian geometry and discrete ordinates. These methods are then applied for the approximation of the solution of a reference problem well known in the nuclear engineering literature.

Título traducido de la contribución	Aproximaciones de elementos finitos nodales para la ecuación de transporte de neutrones
Idioma original	Inglés
Páginas (desde-hasta)	2168-2176
Número de páginas	9
Publicación	Mathematics and Computers in Simulation
Volumen	80
N.º	11
DOI	https://doi.org/10.1016/j.matcom.2010.04.010
Estado	Publicada - jul. 2010

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title = "Nodal finite element approximations for the neutron transport equation",

abstract = "Two classes of nodal methods, weakly and strongly discontinuous, are introduced and applied to the numerical solution of the neutron transport equation in two-dimensional Cartesian geometry and discrete ordinates. These methods are then applied for the approximation of the solution of a reference problem well known in the nuclear engineering literature.",

keywords = "Finite elements, Nodal methods, SN approximation, Transport equation",

author = "Hennart, {Jean Pierre} and {Del Valle}, Edmundo",

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T1 - Nodal finite element approximations for the neutron transport equation

AU - Hennart, Jean Pierre

AU - Del Valle, Edmundo

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N2 - Two classes of nodal methods, weakly and strongly discontinuous, are introduced and applied to the numerical solution of the neutron transport equation in two-dimensional Cartesian geometry and discrete ordinates. These methods are then applied for the approximation of the solution of a reference problem well known in the nuclear engineering literature.

AB - Two classes of nodal methods, weakly and strongly discontinuous, are introduced and applied to the numerical solution of the neutron transport equation in two-dimensional Cartesian geometry and discrete ordinates. These methods are then applied for the approximation of the solution of a reference problem well known in the nuclear engineering literature.

KW - Finite elements

KW - Nodal methods

KW - SN approximation

KW - Transport equation

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U2 - 10.1016/j.matcom.2010.04.010

DO - 10.1016/j.matcom.2010.04.010

M3 - Artículo

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JO - Mathematics and Computers in Simulation

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Nodal finite element approximations for the neutron transport equation

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