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Filtering by: Subject Neutrons Academic Affiliation Nuclear Engineering Subject Iterative methods (Mathematics)

A comparison of iterative methods for the solution of elliptic partial differential equations, particularly the neutron diffusion equation

Creator:

Schwinkendorf, Kevin N.

Abstract:

Two new concepts have been explored in solving the neutron diffusion equation in one and two dimensions. At the present time, the diffusion equation is solved using source iterations. These iterations are performed in a mathematical form which has a great deal of physical significance. Specifically, the neutron production term...

Resource Type:

Masters Thesis

Full Text:

elliptic partial differential equations, particularly the neutron diffusion equation AN ABSTRACT OF THE
Numerical techniques for coupled neutronic/thermal hydraulic nuclear reactor calculations

Creator:

Betts, Curt M.

Abstract:

The solution of coupled neutronic/thermal hydraulic nuclear reactor calculations requires the treatment of the nonlinear feedback induced by the thermal hydraulic dependence of the neutron cross sections. As a result of these nonlinearities, current solution techniques often diverge during the iteration process. These instabilities arise due to the low level...

Resource Type:

Masters Thesis

Full Text:

neutron cross sections. As a result of these nonlinearities, current solution techniques often diverge