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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.
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2024 ANS Annual Conference
June 16–19, 2024
Las Vegas, NV|Mandalay Bay Resort and Casino
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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
Can hydrogen be the transportation fuel in an otherwise nuclear economy?
Let’s face it: The global economy should be powered primarily by nuclear power. And it probably will by the end of this century, with a still-significant assist from renewables and hydro. Once nuclear systems are dominant, the costs come down to where gas is now; and when carbon emissions are reduced to a small portion of their present state, it will become obvious that most other sources are only good in niche settings. I mean, why use small modular reactors to load-follow when they can just produce that power instead of buffering it?
James S. Warsa
Nuclear Science and Engineering | Volume 160 | Number 3 | November 2008 | Pages 385-400
Technical Note | doi.org/10.13182/NSE160-385TN
Articles are hosted by Taylor and Francis Online.
A class of discontinuous finite element methods (DFEMs) is proposed for spatially discretizing the SN transport equation in multidimensions. Mesh cells are first subdivided into simplexes. Equations for the angular fluxes in a cell are then generated by computing the linear DFEM SN equations for a simplex on each subelement and assembling the equations over the subelements. The result is a (piecewise) linear continuous finite element method spatial discretization on the cell that is coupled discontinuously to its neighbors through the standard DFEM upwinding technique. The method is presented in two-dimensional Cartesian coordinates. Numerical experiments indicate the method has numerical properties that are suitable for a new SN spatial discretization.