The slab albedo and criticality problem for the quadratic scattering kernel with the HN method

The one speed, time independent neutron transport equation for slab geometry with quadratic anisotropic scattering kernel is considered. Albedo, transmission factor and criticality thickness are calculated by the H N method. The numerical results obtained are listed for different selected parameters. It is shown that the method is concise and leads to fast converging numerical results. © Carl Hanser Verlag

The singular eigenfunction method: The critical slab problem for linearly anisotropic scattering (Rewiew)

The critical slab problem for linearly anisotropic scattering is investigated using the singular eigenfunction method. The third form of the transport equation is considered. The singular eigenfunctions for linearly anisotropic scattering are inserted into the Green's function. This Green's function with the full range orthogonality relations of the singular eigenfunctions together with the appropriate boundary conditions provide the criticality equation. This equation is exact and leads as shown in tables to fast converging numerical results. © Carl Hanser Verlag, München

Solving the constant source problem for the quadratic anisotropic scattering kernel using the modified FN method

In this work, the FN method with different numerical approximations is used to solve the constant source problem for the quadratic anisotropic scattering kernel. Case's eigenfunctions and the orthogonality relations of this scattering are obtained analytically for one-speed and homogenous transport equation. The aim is to find the albedo values in plane geometry for the half-space when the medium boundary contains a plane source. © Carl Hanser Verlag, München