Open AccessAN IBM-704 CODE FOR A HARMONICS METHOD APPLIED TO TWO-REGION SPHERICAL REACTORS
Author(s) -
Roger Chalkley,
C.W. Nestor,
M.L. Tobias
Publication year - 1960
Language(s) - English
Resource type - Reports
DOI - 10.2172/4200791
Subject(s) - harmonics , criticality , code (set theory) , ibm , spherical harmonics , order (exchange) , equating , computer science , mathematics , algorithm , physics , mathematical analysis , programming language , nuclear physics , statistics , set (abstract data type) , quantum mechanics , optics , finance , voltage , economics , rasch model
An IBM-704 computer code for the harmonics method of criticality calculation for two-region spherical reactors is described. In the harmonics method, the criticality condition corresponds to the vanishing of a certain infiniteorder determinant; in practice, this condition is replaced by equating a finite-order approximating determinant to zero. By hand, the calculations can be performed conveniently only for second-order approximating determinants. The approximating determinant with the described code is customarily of the seventh order. Losses of significant figures prevented the use of larger determinants. The machine running time per case is generally about 30 sec. (auth