Application of the Response Matrix Method to Criticality Calculations of One-dimensional Reactors
Akinao SHIMIZU, Kazuo Monta, Toshiki Miyamoto · Journal of the Atomic Energy Society of Japan / Atomic Energy Society of Japan · 1963
The response matrix method has successfully been applied to problems to solve the multigroup diffusion equation for one-dimensional multiregion reactors. The method consists of the calculation of response matrices of spatial regions, which is reduced to a boundary value problem for a bare homogeneous region and can be performed analytically, and of the criticality calculation by means of response matrices, which can be performed by simple algebra involving matrices even for reactors consisting of many spatial regions, since the order of matrices involved is equal to the number of energy groups independently of the number of spatial regions. By a numerical calculation it has been confirmed that the method gives us the accurate solution and that the execution time of the machine is appreciably less than that by the finite difference method for few-group calculations. Criticality calculations by means of an electronic analog computer were also performed. It was shown that the analog calculation gives us the multiplication factor of two-region reactors with an error less than 0.1% by simple procedures.