Solução da Equação Transiente de Transporte em Domínio Semi-infinito pela Combinação dos Métodos Espectral e LTSN
DOI:
https://doi.org/10.5540/tema.2002.03.01.0157Abstract
Neste trabalho, apresentamos uma nova abordagem para solução da equação de transporte linear dependente do tempo em domínios unidimensionais ilimitados, combinando o método espectral e o método LTSN. Para tanto, usando a idéia do método espectral, expandimos o fluxo angular numa série truncada de polinômios de Laguerre na variável temporal, tomamos momentos, obtendo, assim, um conjunto de problemas estacionários de transporte, que são resolvidos recurssivamente pelo método LTSN. Resultados numéricos são apresentados.References
[1] J.V.P. de Oliveira, Solução da Equação de Transporte Dependente do Tempo numa Placa Plana pela Combinação do Método Espectral e da Transformada de Laplace", Tese de Doutorado, PPGEM, UFRGS, Porto Alegre, RS, 2000.
D. Gottlieb e S.A. Orszag, Numerical Analysis of Spectral Methods: Theory and Applications", SIAM, Philadelphia, 1977.
C.F. Segatto e M.T. Vilhena, The state-of-the-art the LTSN method, Mathematics and Computation, in Proccedings of the International Conference in Reactor Physics and Environmental Analysis in Nuclear Applications", Madrid, Vol. 2, pp. 1618-1631, 1999.
J.V.P. de Oliveira e A.V. Cardona, Solução semi-analítica da equação de transporte dependente do tempo, em Seleta do XXII CNMAC"(J.M. Balthazar, S.M. Gomes e A.Sri Ranga, eds.), Tendências em Matemática Aplicada e Com- putacional, Vol. 1, pp. 193-200, SBMAC, 2000.
J.V.P. de Oliveira, A.V. Cardona e M.T. Vilhena, Solution of the one- dimensional time-dependent discrete ordinates problem in a slab by the spectral an LTSN methods, Annals of Nuclear Energy, 29 (2001), 13-20.
J.V.P. de Oliveira et al., Solução Semi-analítica da Equação de Transferência Radiativa Não-linear, em 8th Brazilian Congress of Thermal Engineering and Sciences" (in Portuguese), Porto Alegre, RS, Brazil, 2000.
J.V.P. de Oliveira et al., A Semi-analytical numerical method for time- dependent radiative transfer problems in slab geometry With coherent isotropic scattering, Journal of Quantitative Spectroscopy and Radiative Transfer, (2001), to appear.
M. Abramowitz e I.A. Stegun, Handbook of Mathematical Functions With Formulas, Graphs and Mathematical Table", Dover Publications, New York, 1998.
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