Diffusion Coefficient Calculations With Low Order Legendre Polynomial and Chebyshev Polynomial Approximation for the Transport Equation in Spherical Geometry

Details Diffusion Coefficient Calculations With Low Order Legendre Polynomial and Chebyshev Polynomial Approximation for the Transport Equation in Spherical Geometry Diffusion Coefficient Calculations With Low Order Legendre Polynomial and Chebyshev Polynomial Approximation for the Transport Equation in Spherical Geometry

Apr 2007

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2007aipc..899..119y&link_type=abstract

SIXTH INTERNATIONAL CONFERENCE OF THE BALKAN PHYSICAL UNION. AIP Conference Proceedings, Volume 899, pp. 119-120 (2007).

Physics

Neutron Transport: Diffusion And Moderation, Nuclear Structure Models And Methods

Scientific paper

We present analytical calculations of spherically symmetric radioactive transfer and neutron transport using a hypothesis of P1 and T1 low order polynomial approximation for diffusion coefficient D. Transport equation in spherical geometry is considered as the pseudo slab equation. The validity of polynomial expansionion in transport theory is investigated through a comparison with classic diffusion theory. It is found that for causes when the fluctuation of the scattering cross section dominates, the quantitative difference between the polynomial approximation and diffusion results was physically acceptable in general.

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