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Remembering Charles E. Till
Charles E. Till
Charles E. Till, an ANS member since 1963 and Fellow since 1987, passed away on March 22 at the age of 89. He earned bachelor’s and master’s degrees from the University of Saskatchewan and a Ph.D. in nuclear engineering from Imperial College, University of London. Till initially worked for the Civilian Atomic Power Department of the Canadian General Electric Company, where he was the physicist in charge of the startup of the first prototype CANDU reactor in Canada.
Till joined Argonne National Laboratory in 1963 in the Applied Physics Division, where he worked as an experimentalist in the Fast Critical Experiments program. He then moved to additional positions of increasing responsibility, becoming division director in 1973. Under his leadership, the Applied Physics Division established itself as one of the elite reactor physics organizations in the world. Both the experimental (critical experiments and nuclear data measurements) and nuclear analysis methods work were internationally recognized. Till led Argonne’s participation in the International Nuclear Fuel Cycle Evaluation (INFCE), and he was the lead U.S. delegate to INFCE Working Group 5, Fast Breeders.
Jeremy A. Roberts, Matthew S. Everson, Benoit Forget
Nuclear Science and Engineering | Volume 181 | Number 3 | November 2015 | Pages 331-341
Technical Paper | doi.org/10.13182/NSE14-132
Articles are hosted by Taylor and Francis Online.
A study of the convergence behavior of the eigenvalue response matrix method (ERMM) for nuclear reactor eigenvalue problems is presented. The eigenvalue response matrix equations are traditionally solved by a two-level iterative scheme in which an inner eigenproblem yields particle balance across node boundaries and an outer fixed-point iteration updates the global k-eigenvalue. Past work has shown the method converges rapidly, but the properties of its convergence have not been studied in detail. To perform a formal assessment of these properties, the one-dimensional, one-group diffusion approximation is used to derive the asymptotic error constant of the fixed-point iteration. Several problems are solved numerically, and the observed convergence behavior is compared to the analytic model based on buckling and nodal dimensions (in mean free paths). The results confirm the method converges quickly, with no degradation in the convergence rate for small nodes, which is an observation that suggests ERMM can be used for large-scale, parallel computations with no penalty from the decomposition of a domain into smaller nodes. In addition, results from multigroup problems show that convergence depends strongly on the heterogeneity and the energy representation of a model. In particular, the convergence for two-group and heterogeneous, one-group models is substantially slower than for the homogeneous, one-group model.