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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
Conference on Nuclear Training and Education: A Biennial International Forum (CONTE 2025)
February 3–6, 2025
Amelia Island, FL|Omni Amelia Island Resort
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!
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Latest News
Westinghouse’s lunar microreactor concept gets a contract for continued R&D
Westinghouse Electric Company announced last week that NASA and the Department of Energy have awarded the company a contract to continue developing a lunar microreactor concept for the Fission Surface Power (FSP) project.
Shawn D. Pautz, Tara M. Pandya, Marvin L. Adams
Nuclear Science and Engineering | Volume 169 | Number 3 | November 2011 | Pages 245-261
Technical Paper | doi.org/10.13182/NSE10-30
Articles are hosted by Taylor and Francis Online.
The well-known “sweep” algorithm for inverting the streaming-plus-collision term in first-order deterministic radiation transport calculations suffers from parallel scaling issues caused by a lack of concurrency in the spatial dimension along the direction of particle travel. We investigate a new class of parallel algorithms that involves recasting the streaming-plus-collision problem in prefix form and solving via cyclic reduction. This method, although computationally more expensive at low levels of parallelism than the sweep algorithm, offers better theoretical scalability properties. Previous work has demonstrated this approach for one-dimensional calculations; we show how to extend it to multidimensional calculations. Notably, for multiple dimensions it appears that this approach is limited to long-characteristics discretizations; other discretizations cannot be cast in practical prefix form. Computational results on two different massively parallel computer systems demonstrate that both our “forward” and “symmetric” algorithms behave similarly, scaling well to larger degrees of parallelism than sweep-based solvers. We do observe some issues at the highest levels of parallelism (relative to the computer system size) and discuss possible causes. We conclude that this approach shows good potential for future parallel systems but that parallel scalability will depend on the architecture of the communication networks of these systems.