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.
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
2024 ANS Winter Conference and Expo
November 17–21, 2024
Orlando, FL|Renaissance Orlando at SeaWorld
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
Aug 2024
Jan 2024
Latest Journal Issues
Nuclear Science and Engineering
October 2024
Nuclear Technology
Fusion Science and Technology
August 2024
Latest News
New laws offer nuclear industry incentives for existing power plant uprates
This year, the U.S. nuclear industry received a much-needed economic boost that could help preserve operating nuclear power plants and incentivize upgrades that extend their lifespan and power output.
Signed into law in 2022, the Inflation Reduction Act offers production tax credits (PTCs) for existing nuclear power plants and either PTCs or investment tax credits (ITCs) for new carbon-free generation. These credits could make power uprates—increasing the maximum power level at which a commercial plant may operate—a much more appealing option for utilities.
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.