Matrix-type multiple reciprocity method applied to the modified Helmholtz neutron flux mode in nuclear criticality system
The matrix-type multiple reciprocity method has been reformulated to analyze the modified Helmholtz neutron flux mode in a domain which has a strong neutron absorption. The fundamental solutions for the modified Helmholtz mode can be given simply by replacing the imaginary quantity iB1 in the conventional Helmholtz-type solutions by a real quantity k1. Test calculations demonstrate the validity of the present reformulation and the usefulness when applied to the nuclear criticality analysis.
modified helmholtz mode helmholtz equation wielandt's algorithm multiple reciprocity boundary element method