Variational Method In Neutron Transport

A variational form of the monoenergetic transport equation in one-dimensional spherical geometry is derived and discussed. The continuity of positive direction current (J+) at the each interfaces of the adjacent zones is set as a necessary condition to improve the variational calculation. For monolayer and two-layer spherical critical problem and for monolayer noncritical problem, the application by this approach gives the corresponding solutions and satisfactory numerical results. Compared with other methods, the result of the monolayer critical problem is quite closed to that of P3 or 54approximation. Moreover, the variation method should be more simple than the other methods.