Solução da equação de transferência radiativa dependente do tempo pelos métodos espectral e LTSN

Abstract

In this work, the time dependent radiative transfer problem is solved combining the spectral and LTSN methods. To this end, the angular radiation intensity is expanded in the time variable, in a truncated Laguerre polynomial series. Replacing this ansatz in the radiative transfer problem taking moments, steady-state problems are obtained, that are solved by the LTSN method. Numerical results are presented for the dimensionless time ranging from 0.1 to 5, the order of approximation of the truncated series in Laguerre polynomials, M, varying from 54 to 100 and the integral term corresponding to the source is evaluated by the trapezoidal rule considering 10, 20 and 30 points.