Calculation of Extrapolation Distances by Low Order Chebyshev Polynomial Approximation of Transport Equation in Slab Geometry

Physics

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

Scientific paper

In this work the problem of extrapolation distances has been studied in one-speed neutron transport equation with isotropic scattering by using the Chebyshev polynomial approximation which is called TN method. Assuming neutrons of one speed, extrapolation distances are calculated for the uniform finite slab using Mark and Marshak type vacuum boundary conditions. It is shown that extrapolation of the flux of neutrons leaking from the medium, in low order TN method, gives very good results of low order spherical harmonics approximation which is known PN method and diffusion theory.

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