Computation of the Doppler-broadened scattering kernel and its Legendre moments
1 Commissariat à l’Energie Atomique et aux Energies Alternatives, Direction de l’Energie Nucléaire, Service d’Etudes de Réacteurs et de Mathématiques Appliquées, 91191 Gif-sur-Yvette cédex, France
2 University of Bologna, Laboratory of Montecuccolino , via dei Colli 16, 40136 Bologna, Italy
A numerical computation of the Doppler convolution of the elastic scattering kernel based on the gas model is presented, without making assumptions on the variation of the cross section with energy and for a general scattering law in the center of mass system. The range of integration has been optimized employing a numerical cutoff, allowing for a faster numerical evaluation of the convolution integral. Legendre moments of the transfer kernel are subsequently obtained by direct quadrature and a numerical analysis of the convergence is presented.
Key words: Doppler broadening / resonance domain / angular scattering kernel / temperature-dependent moments
permanent address: University of Bologna, Laboratory of Montecuccolino, via dei Colli 16, 40136 Bologna, Italy; email@example.com
© Owned by the authors, published by EDP Sciences, 2014