Interface current method for multi-region neutron diffusion problems

This paper presents an interface current method for solving multi-region neutron di usion problems using multi-dimensional Green’s functions. The method is based on evaluation of the net currents at each interface. The unknown interface currents are expanded in terms of eigenfunctions. The orthogonality condition of the eigenfunctions is employed in order to transform these equations to an algebraic system. Numerical examples are provided at the end of the paper to demonstrate the validity of the method, and for comparison with the more established nite di erence method