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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
International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering (M&C 2025)
April 27–30, 2025
Denver, CO|The Westin Denver Downtown
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
TerraPower begins U.K. regulatory approval process
Seattle-based TerraPower signaled its interest this week in building its Natrium small modular reactor in the United Kingdom, the company announced.
TerraPower sent a letter to the U.K.’s Department for Energy Security and Net Zero, formally establishing its intention to enter the U.K. generic design assessment (GDA) process. This is TerraPower’s first step in deployment of its Natrium technology—a 345-MW sodium fast reactor coupled with a molten salt energy storage unit—on the international stage.
Paul A. Smith
Nuclear Technology | Volume 92 | Number 3 | December 1990 | Pages 363-373
Technical Paper | Radioactive Waste Management | doi.org/10.13182/NT90-A16237
Articles are hosted by Taylor and Francis Online.
The results of a diffusion-sorption experiment, using simulated groundwater spiked with a mixture of I25I, 85Sr, and 137Cs, are modeled by a one-dimensional porous-medium approach in which sorption is described by Freundlich isotherms. The governing equations are solved analytically for the special case of a linear isotherm and numerically using the RANCH-DIFF computer code for nonlinear isotherms. A set of time-dependent ordinary differential equations is obtained using the Lagrange interpolation technique and is integrated by Gear’s variable-order predictor-corrector method. The analysis allows the diffusion coefficients and parameters of the Freundlich isotherms to be extracted from the experimental data. It is shown that the sorption behavior of 85Sr can be modeled successfully by a linear isotherm, using a sorption parameter consistent with batch-sorption tests. The behavior of 137Cs may be modeled by a nonlinear isotherm, but the amount of 137Cs sorbed is less than that anticipated from batch-sorption tests. Iodine-125 is assumed to be nonsorbing and is used to determine the porosity of the rock.
