Power iterative multiple reciprocity boundary element method for three-dimensional neutron diffusion eigenvalue problems Masafumi Itagaki, Takeaki Enoto, Masakuni Narita Division of Quantum Energy Engineering, Graduate Schoolof Engineering, Hokkaido University, Sapporo 060-8628, Japan E-mail: [email protected] Abstract A three-dimensional multiple reciprocity boundary element code has been developed in order to analyze the nuclear criticality of solution fuel systems in a reprocessing plant. The code solves the three-dimensional, two-group neutron diffusion equation as an eigenvalue problem. The boundary integral equation, the zero-order and higher order fundamental solutions for the multiple reciprocity scheme are all 2 X 2 matrix forms. The eigenvalue, which is successively updated through the power iterative computation, isalso calculated using only boundary integrals. Test calculations demonstrate that the present method provides stable and accurate solution for nuclear criticality problems. 1. Introduction In the critical safety evaluation of solution fuel systems in a nuclear reprocessing plant, one often meets problems of irregular geometry, e.g., a listing or sloshing of liquid surface, geometry deformation of a fuel tank arising from an earthquake, etc. The boundary element method (BEM) is well suited for the analysisof such irregular geometries, since the method requires discretization of the surface only rather than of the volume In the present paper, the BEM is applied to solving two-group neutron diffusion equation (NDE) as the simplest case of multi-energy-group problems. A matrix-type boundary integral equation (BEE) corresponding to the two-group Transactions on Modelling and Simulation vol 24, © 1999 WIT Press, www.witpress.com, ISSN 1743-355X
Power iterative multiple reciprocity boundary element method for threedimensional neutron diffusion eigenvalue problems
Jun 14, 2023
Welcome message from author
This document is posted to help you gain knowledge. Please leave a comment to let me know what you think about it! Share it to your friends and learn new things together.
Related Documents
