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
Mathematics & Computation
Division members promote the advancement of mathematical and computational methods for solving problems arising in all disciplines encompassed by the Society. They place particular emphasis on numerical techniques for efficient computer applications to aid in the dissemination, integration, and proper use of computer codes, including preparation of computational benchmark and development of standards for computing practices, and to encourage the development on new computer codes and broaden their use.
Meeting Spotlight
2024 ANS Annual Conference
June 16–19, 2024
Las Vegas, NV|Mandalay Bay Resort and Casino
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 2024
Jan 2024
Latest Journal Issues
Nuclear Science and Engineering
April 2024
Nuclear Technology
Fusion Science and Technology
February 2024
Latest News
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.
R. S. Modak, Anurag Gupta
Nuclear Science and Engineering | Volume 163 | Number 3 | November 2009 | Pages 263-271
Technical Paper | doi.org/10.13182/NSE163-263
Articles are hosted by Taylor and Francis Online.
This paper deals with the numerical evaluation of fundamental- and higher-mode solutions of the well-known K-eigenvalue problem in nuclear reactor physics using neutron transport theory. If the spatial domain has a plane of reflective symmetry, it is customary to find the fundamental K-mode by considering only the half-domain on one side of the plane for the calculation and applying a reflective boundary condition (RBC) on the plane of symmetry. Here, it is shown that the higher antisymmetric K-mode can also be evaluated in a similar way by applying what is called here the anti-RBC (ARBC) on the plane of symmetry. ARBC was implemented in computer codes based on the discrete ordinates method in Cartesian geometry for some sample problems and was found to work well. The implementation of ARBC in existing codes, although very easy, does not seem to be widely used or reported in the literature. For a one-dimensional homogeneous slab with isotropic scattering, the first antisymmetric K-mode found using ARBC is equivalent to the fundamental mode of a sphere, apart from a scaling factor for the total flux. An interesting result is that the fundamental mode of a sphere computed in this way does not contain the unphysical flux dip near the center, commonly obtained by the discrete ordinates codes in spherical geometry. Although not shown here, it appears that ARBC can be implemented in Monte Carlo codes also to find antisymmetric modes.