Uma Nova Versão do Método LTAN
DOI:
https://doi.org/10.5540/tema.2004.05.01.0049Abstract
Recentemente, foi proposta uma solução da equação de transporte de nêutrons em uma placa através de uma versão do método LTAN baseada na diagonaliza ção de uma matriz (2Nx2N). Neste trabalho, visando melhorar o tempo computacional do método LTAN, apresentamos uma nova versão deste método baseada na diagonalização de uma matriz NxN. Simulações numéricas são apresentadas para um problema de transporte com alto grau de anisotropia.References
[1] A.V. Cardona e M.T.M.B. Vilhena, Analytical solution for the AN approximation, Annals of Nuclear Energy, 24 (1997), 495-505.
A.V. Cardona, M.T.M.B. Vilhena, J.V.P. de Oliveira e R. Vasques, The onedimensional LTAN solution in a slab with high order of quadrature, em “Proceedings of 18th International Conference on Transport Theory”, pp. 260-264, 2003.
G. Coppa e P. Ravetto, An approximate method to study the one velocity neutron integral transport equation, Annals of Nuclear Energy, 9 (1982), 169-174.
G. Coppa, P. Ravetto e M. Sumini, Numerical performance of the AN method and comparisons with SN calculations, Atomkernenergie Kerntechnik, 42 (1983), 107-110.
G. Coppa, P. Ravetto e M. Sumini, Approximate solution to neutron transport equation with linear anisotropic scattering, Journal of Nuclear Science and Technology, 20 (1983), 822-831.
J. Lenoble, “Standard Procedures to Compute Atmospheric Radiative Transfer in a Scattering Atmosphere”, NCAR, Boulder, USA, 1977.
E.E. Lewis e W.F. Miller Jr., “Computational Methods of Neutron Transport”, American Nuclear Society, Illinois, 1993.
G.J. Marchuk, “Methods of Numerical Mathematics”, Springer-Verlag, New York, 1975.
J.V.P. de Oliveira, A.V. Cardona e M.T.M.B. Vilhena, Solution of the onedimensional time-dependent discrete ordinates problem in a slab by the spectral and LTSN methods, Annals of Nuclear Energy, 29 (2002), 13-20.
J.V.P. de Oliveira, A.V. Cardona, M.T.M.B. Vilhena e R.C. de Barros, A semianalytical numerical method for time-dependent radiative transfer problems in slab geometry with coherent isotropic scattering, Journal of Quantitative Spectroscopy and Radiative Transfer, 73 (2002), 55-62.
R.P. Pazos e M.T.M.B. Vilhena, Convergence in transport theory, Applied Numerical Mathematics, 30 (1999), 79-92.
R.P. Pazos, M.T.M.B. Vilhena e M. Thompson, Error bounds for spectral collocation method for the linear Boltzmann equation, International Journal of Computation and Numerical Analysis and Application, 1 (2002), 237-268.
C.F. Segatto, M.T.M.B. Vilhena e M.G. Gomes, The one-dimensional LTSN solution in a slab with high degree of quadrature, Annals of Nuclear Energy, 26 (1999), 925-934.
Z. Trzaska, An efficient algorithm for partial fraction expansion of the linear matrix pencil inverse, Journal of the Franklin Institute, 324 (1987), 465-477.
Downloads
Published
How to Cite
Issue
Section
License
Authors who publish in this journal agree to the following terms:
Authors retain copyright and grant the journal the right of first publication, with the work simultaneously licensed under the Creative Commons Attribution License that allows the sharing of the work with acknowledgment of authorship and initial publication in this journal.
Authors are authorized to assume additional contracts separately, for non-exclusive distribution of the version of the work published in this journal (eg, publish in an institutional repository or as a book chapter), with acknowledgment of authorship and initial publication in this journal.
Authors are allowed and encouraged to publish and distribute their work online (eg, in institutional repositories or on their personal page) at any point before or during the editorial process, as this can generate productive changes as well as increase impact and the citation of the published work (See The effect of open access).
This is an open access journal which means that all content is freely available without charge to the user or his/her institution. Users are allowed to read, download, copy, distribute, print, search, or link to the full texts of the articles, or use them for any other lawful purpose, without asking prior permission from the publisher or the
author. This is in accordance with the BOAI definition of open access
Intellectual Property
All the contents of this journal, except where otherwise noted, is licensed under a Creative Commons Attribution License under attribution BY.