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Conference Spotlight
Nuclear Energy Conference & Expo (NECX)
September 8–11, 2025
Atlanta, GA|Atlanta Marriott Marquis
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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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Powering the future: How the DOE is fueling nuclear fuel cycle research and development
As global interest in nuclear energy surges, the United States must remain at the forefront of research and development to ensure national energy security, advance nuclear technologies, and promote international cooperation on safety and nonproliferation. A crucial step in achieving this is analyzing how funding and resources are allocated to better understand how to direct future research and development. The Department of Energy has spearheaded this effort by funding hundreds of research projects across the country through the Nuclear Energy University Program (NEUP). This initiative has empowered dozens of universities to collaborate toward a nuclear-friendly future.
Alexander V. Voronkov, Elena P. Sychugova
Nuclear Science and Engineering | Volume 148 | Number 1 | September 2004 | Pages 186-194
Technical Paper | doi.org/10.13182/NSE04-A2450
Articles are hosted by Taylor and Francis Online.
A second order, semi-implicit numerical method for solving the multigroup nonstationary transport equation and corresponding code is developed in two-dimensional R-Z geometry. Finite difference meshes are formed by arbitrary convex quadrangles. The conservative finite difference scheme is derived by the integro-interpolation method. The balance equation is augmented by linear approximations. The proposed additional relationships provide the second order of approximation at any side-visible cases using a corresponding choice of the weights of scheme. The number of additional relationships in spatial variables, as well as their form, depends on how many visible sides are under consideration. The additional relationships in time and angle variables are diamond-difference-like approximations relating the edge values to the cell-centered values.An analytical test problem is used to demonstrate the second order of spatial approximation of the proposed method. To test the algorithm for solving the stationary transport equation, we compare the numerical results, obtained by the developed technique, with the results produced by one-dimensional (1-D) codes such as KIN1D (The Keldysh Institute of Applied Mathematics, Russia) and ANISN (U.S.) by using spherical symmetrical 1-D problems. Special analytical benchmarks are developed to test the nonstationary technique. The tests have shown good agreement of the results.