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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


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