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.
Explore membership for yourself or for your organization.
Conference Spotlight
2025 ANS Winter Conference & Expo
November 9–12, 2025
Washington, DC|Washington Hilton
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
Oct 2025
Jul 2025
Latest Journal Issues
Nuclear Science and Engineering
November 2025
Nuclear Technology
Fusion Science and Technology
October 2025
Latest News
Researchers use one-of-a-kind expertise and capabilities to test fuels of tomorrow
At the Idaho National Laboratory Hot Fuel Examination Facility, containment box operator Jake Maupin moves a manipulator arm into position around a pencil-thin nuclear fuel rod. He is preparing for a procedure that he and his colleagues have practiced repeatedly in anticipation of this moment in the hot cell.
Alain Hébert
Nuclear Science and Engineering | Volume 184 | Number 4 | December 2016 | Pages 591-603
Technical Note | doi.org/10.13182/NSE16-82
Articles are hosted by Taylor and Francis Online.
We are investigating a new class of linear characteristics schemes along cyclic tracks for solving the transport equation for neutral particles with scattering anisotropy. These algorithms rely on linear discontinuous exact integration and diamond differencing, as implemented with the method of discrete ordinates. These schemes are based on linear discontinuous coefficients that are derived through the application of approximations describing the mesh-averaged spatial flux moments in terms of spatial source moments and of the beginning-of-segment and end-of-segment flux values. The linear discontinuous characteristics (LDC) and quadratic-order diamond differencing (DD1) schemes are inherently conservative. In this technical note, we intend to continue the development of the LDC and DD1 schemes by extending their application to cyclic trackings. This extension will make possible the representation of reflective or general albedo boundary conditions. We will present an improved and much shorter derivation of the LDC and DD1 schemes, compared to a previous presentation. Finally, we will implement the new schemes as Matlab scripts for solving a one-dimensional slab benchmark and in the DRAGON5 lattice code for solving a more representative two-dimensional eight-symmetry pressurized water reactor assembly mock-up.