Use este identificador para citar ou linkar para este item: http://carpedien.ien.gov.br:8080/handle/ien/2144
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dc.contributor.authorTUMELERO, Fernanda-
dc.contributor.authorLAPA, Celso Marcelo Franklin-
dc.contributor.authorBODMANN, Bardo E. J.-
dc.contributor.authorVILHENA, Marco T.-
dc.date.accessioned2018-01-18T18:28:00Z-
dc.date.available2018-01-18T18:28:00Z-
dc.identifier.urihttp://carpedien.ien.gov.br:8080/handle/ien/2144-
dc.languageengpt_BR
dc.publisherInstituto de Engenharia Nuclearpt_BR
dc.rightsopenAccesspt_BR
dc.subjectHOMOGENEOUS DOMAINpt_BR
dc.titleANALYTICAL REPRESENTATION OF THE SOLUTION OF THE SPACE KINETIC DIFFUSION EQUATION IN A ONE-DIMENSIONAL AND HOMOGENEOUS DOMAINpt_BR
dc.typearticlept_BR
dc.description.resumoIn this work we solve the space kinetic diffusion equation in a one-dimensional geometry considering a homogeneous domain, for two energy groups and six groups of delayed neutron precursors. The proposed methodology makes use of a Taylor expansion in the space variable of the scalar neutron ux (fast and thermal) and the concentration of delayed neutron precursors, allocating the time dependence to the coefficients. Upon truncating the Taylor series at quadratic order, one obtains a set of recursive systems of ordinary differential equations, where a modi ed decomposition method is applied. The coefficient matrix is split into two, one constant diagonal matrix and the second one with the remaining time dependent and off-diagonal terms. Moreover, the equation system is reorganized such that the terms containing the latter matrix are treated as source terms. Note, that the homogeneous equation system has a well known solution, since the matrix is diagonal and constant. This solution plays the role of the recursion initialization of the decomposition method. The recursion scheme is set up in a fashion where the solutions of the previous recursion steps determine the source terms of the subsequent steps. A second feature of the method is the choice of the initial and boundary conditions, which are satis ed by the recursion initialization, while from the rst recursion step onward the initial and boundary conditions are homogeneous. The recursion depth is then governed by a prescribed accuracy for the solution.pt_BR
dc.publisher.countryBrasilpt_BR
dc.publisher.initialsIENpt_BR
dc.creator.affiliationPrograma de Pós Graduação em Engenharia Mecânica (PROMEC) Universidade Federal do Rio Grande do Sul-
dc.creator.affiliationInstituto de Engenharia Nuclear, CNEN.-
dc.creator.affiliationPrograma de Pós Graduação em Engenharia Mecânica (PROMEC) Universidade Federal do Rio Grande do Sul-
dc.creator.affiliationPrograma de Pós Graduação em Engenharia Mecânica (PROMEC) Universidade Federal do Rio Grande do Sul-
Aparece nas coleções:Engenharia e Segurança de Reatores Nucleares - Trabalhos de Congresso

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