Exact solution of the neutron transport equation for a slab reactor in presence of backward and forward scattering

Numerical results concerning the effect of anisotropic scattering on the critical-slab problem

“…Siewert and Williams (1977) also reported numerical results based on a numerical solution of a Fredholm integral equation. In a recent study Spiga and Vestrucci (1981) observed that the numerical results for some cases tabulated by Siewert and Williams (1977) were not accurate to the number of figures shown. We have confirmed that there was an error in the computer calculation reported earlier (Siewert and Williams 1977) and have subsequently resolved the same equations to find the corrected results given in table 1.…”

Numerical results for the transport equation with strongly anisotropic scattering in a slab

“…Comparison with the critical r 0 reported by Sahni et al (1992) Table 3 Comparison with the critical r 0 for k 0 ¼ 1 and Table 1 Comparison with the critical parameter ⁄ calculated by Spiga and Vestrucci (1981) for ⁄ it is equivalent to the critical r À r 0 ð1 À a 0 À b 0 Þ, where r is defined in (6).…”

“…We start by comparing the results reported by Spiga and Vestrucci (1981). The critical parameter calculated in their work is equivalent to our critical r of Eq.…”

“…Comparison with the critical parameter ⁄ calculated by Spiga and Vestrucci (1981) for ⁄ it is equivalent to the critical r À r 0 ð1 À a 0 À b 0 Þ, where r is defined in (6).…”

“…For instance, Spiga and Vestrucci (1981) developed a semi-analytical algorithm to calculate the critical total flux of the transport operator. Sahni et al (1992) applied discrete ordinates S N combined with the Carlvik's method to compute the eigenvalues of this operator.…”