Uma Nova Versão do Método LTAN

A.V. Cardona, R. Vasques, M.T. Vilhena

Abstract


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.




DOI: https://doi.org/10.5540/tema.2004.05.01.0049

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Trends in Computational and Applied Mathematics

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