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Elementary school resources added to Navigating Nuclear
Elementary school lesson plans are the latest additions to the Navigating Nuclear: Energizing Our World website. The two lesson plans were created to help students in grades 3-5 understand the power of the atom and how to investigate different energy sources.
Navigating Nuclear is a K-12 nuclear science and energy curriculum created in partnership by the American Nuclear Society and Discovery Education, with lead funding from the Department of Energy's Office of Nuclear Energy.
Xiafeng Zhou, Jiong Guo, Fu Li
Nuclear Science and Engineering | Volume 183 | Number 2 | June 2016 | Pages 185-195
Technical Paper | dx.doi.org/10.13182/NSE15-95
Articles are hosted by Taylor and Francis Online.
The nodal integral method (NIM) has been widely used to solve multidimensional steady-state convection-diffusion problems. However, unphysical oscillating behavior arises when NIM is applied to steep-gradient problems and discontinuous problems. In this paper, a new nodal expansion method (NEM) with high-order moments (NEM_HM) is developed to reduce the numerical oscillation drawback of NIM. High-order moments of transverse-integrated variables are introduced. Based on the definition of Legendre moments, all the expansion coefficients of NEM_HM can be defined as shared moments and unshared moments. Then, the calculation framework of the traditional NEM is extended to include the high-order moments. Additional nodal balance equations are introduced to ensure the uniqueness of all the shared variables such as node-average variables. Finally, coupled discrete equations are obtained in terms of various order moments on the surfaces of the nodes. The classical Smith-Hutton problem and a cross-flow problem are chosen to test the effectiveness of NEM_HM. Numerical results show that the accuracy of NEM_HM outperforms NIM for steep-gradient problems and discontinuous cases.