ANS is committed to advancing, fostering, and promoting the development and application of nuclear sciences and technologies to benefit society.
Explore the many uses for nuclear science and its impact on energy, the environment, healthcare, food, and more.
Division Spotlight
Nuclear Criticality Safety
NCSD provides communication among nuclear criticality safety professionals through the development of standards, the evolution of training methods and materials, the presentation of technical data and procedures, and the creation of specialty publications. In these ways, the division furthers the exchange of technical information on nuclear criticality safety with the ultimate goal of promoting the safe handling of fissionable materials outside reactors.
Meeting Spotlight
ANS Student Conference 2025
April 3–5, 2025
Albuquerque, NM|The University of New Mexico
Standards Program
The Standards Committee is responsible for the development and maintenance of voluntary consensus standards that address the design, analysis, and operation of components, systems, and facilities related to the application of nuclear science and technology. Find out What’s New, check out the Standards Store, or Get Involved today!
Latest Magazine Issues
Mar 2025
Jul 2024
Latest Journal Issues
Nuclear Science and Engineering
March 2025
Nuclear Technology
Fusion Science and Technology
February 2025
Latest News
Prepare for the 2025 Nuclear PE Exam with ANS guides
The next opportunity to earn professional engineer (PE) licensure in nuclear engineering is this fall, and now is the time to sign up and begin studying with the help of materials like the online module program offered by the American Nuclear Society.
R. J. Neuhold
Nuclear Science and Engineering | Volume 43 | Number 1 | January 1971 | Pages 74-86
Technical Paper | doi.org/10.13182/NSE71-A21248
Articles are hosted by Taylor and Francis Online.
The weighted residual procedure was used to expand the fast reactor space-energy synthesis approach to include multiple (discontinuous) weighting functions with continuous trial functions. In the past (except for discontinuous trial function applications) the number of weighting functions was chosen equal to the number of trial functions, and all region and current residuals were weighted with the same set of weights. In this article, each region residual and each boundary residual is separately weighted. The region residuals are weighted with region reaction rates, and the current boundary conditions are weighted with a boundary “reaction rate.” Numerical results are presented for a typical two-region (core and blanket) fast reactor in which multiple reaction rate weighting and a special use of reaction rate weighting are compared with previously used fast reactor space-energy synthesis weighting forms. The results, based on using realistic trial functions, show that multiple reaction rate weighting is generally better than Galerkin or reaction rate weighting, and approaches or exceeds the accuracy of adjoint weighting for the cases examined. Although the group balance or weighted group balance weighting is improved with an application of reaction rate weighting, preliminary results based on an extension of the two techniques to multiple reaction rate weighted group balance were not encouraging. Applications of various weighting functions using poor trial functions show the necessity of realistic trial spectra if weighting functions are to be improved. Multiple reaction rate weighting maintains the “easy to use” feature of Galerkin weighting with considerable potential for multiregion error reduction.