The eigenvalues of one-speed neutrons in a slab with forward and backward scattering

Autor:	Hakan Öztürk, Ökkeş Ege
Rok vydání:	2019
Předmět:	Physics lcsh:T Scattering Slab geometry slab geometry UN method lcsh:Technology Computational physics transport equation Slab forward and backward scattering eigenvalue spectrum Neutron Convection–diffusion equation Eigenvalues and eigenvectors
Zdroj:	Tehnički glasnik Volume 13 Issue 2 Tehnički Glasnik, Vol 13, Iss 2, Pp 81-85 (2019)
ISSN:	1848-5588 1846-6168
DOI:	10.31803/tg-20180116174952
Popis:	The eigenvalue spectrum is studied for one-speed neutrons in a slab with forward and backward scattering. First, the transport equation describing the interaction of neutrons in a system with general geometry is given. Then, the scattering function in transport equation is chosen as the forward-backward-isotropic (FBI) scattering model. The resultant transport equation is solved using the Legendre polynomials expansion (PN method) and the Chebyshev polynomials of second kind expansion (UN method) in neutron angular flux. Then, the PN and UN moments of the equations are obtained using the properties of the Legendre and the Chebyshev polynomials of the second kind. Finally, the eigenvalues for various values of the collision and scattering parameters are calculated using different orders of the presented methods and they are given in the tables for comparison.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::36fb21fbddfc37179cf2b7840498bb10 https://doi.org/10.31803/tg-20180116174952 Zobrazit plný text záznamu