dc.contributor.author |
Rodriguez, Bárbara Denicol do Amaral |
|
dc.contributor.author |
Vilhena, Marco Túllio Menna Barreto de |
|
dc.date.accessioned |
2011-08-17T23:35:39Z |
|
dc.date.available |
2011-08-17T23:35:39Z |
|
dc.date.issued |
2009 |
|
dc.identifier.citation |
RODRIGUEZ, Bárbara D. do Amaral ; VILHENA, Marco Tullio. A solution for the two-dimensional transport equation for photons and electrons in a rectangular domain by the Laplace transform technique. International Journal of Nuclear Energy, Science and Technology, v. 5, p. 25-40, 2010. Disponível em: <http://www.iaea.org/inis/collection/NCLCollectionStore/_Public/41/115/41115759.pdf>. Acesso em: 16 ago. 2011 |
pt_BR |
dc.identifier.isbn |
978-85-99141-03-8 |
|
dc.identifier.uri |
http://repositorio.furg.br/handle/1/872 |
|
dc.description.abstract |
Questions regarding accuracy and efficiency of deterministic transport methods are still on our mind today, even with modern supercomputers. The most versatile and widely used deterministic methods are the PN approximation, the SN method (discrete ordinates method) and their variants. In the discrete ordinates (SN) formulations of the transport equation, it is assumed that the linearized Boltzmann equation only holds for a set of distinct numerical values of the direction-of-motion variables. In this work, looking forward to confirm the capabilities
of deterministic methods in obtaining accurate results, we present a general overview of deterministic methods to solve the Boltzmann transport equation for neutral and charged particles. First, we describe a review in the Laplace transform technique applied to SN two dimensional transport equation in a rectangular domain considering
Compton scattering. Next, we solved the Fokker-Planck (FP) equation, an alternative approach for the Boltzmann transport equation, assuming a monoenergetic electron beam in a rectangular domain. The main idea
relies on applying the PN approximation, a recent advance in the class of deterministic methods, in the angular variable, to the two dimensional Fokker-Planck equation and then applying the Laplace Transform in the spatial
x-variable. Numerical results are given to illustrate the accuracy of deterministic methods presented. |
pt_BR |
dc.language.iso |
eng |
pt_BR |
dc.rights |
open access |
pt_BR |
dc.title |
An overview of the boltzmann transport equation solution for neutrons, photons and electrons in cartesian geometry |
pt_BR |
dc.type |
article |
pt_BR |