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The Radiation Protection and Shielding Division is developing and promoting radiation protection and shielding aspects of nuclear science and technology — including interaction of nuclear radiation with materials and biological systems, instruments and techniques for the measurement of nuclear radiation fields, and radiation shield design and evaluation.
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2024 ANS Annual Conference
June 16–19, 2024
Las Vegas, NV|Mandalay Bay Resort and Casino
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Latest News
College students help develop waste-measuring device at Hanford
A partnership between Washington River Protection Solutions (WRPS) and Washington State University has resulted in the development of a device to measure radioactive and chemical tank waste at the Hanford Site. WRPS is the contractor at Hanford for the Department of Energy’s Office of Environmental Management.
Qingming He, Chao Fang, Liangzhi Cao, Haoyu Zhang
Nuclear Science and Engineering | Volume 197 | Number 3 | March 2023 | Pages 472-484
Technical Note | doi.org/10.1080/00295639.2022.2106733
Articles are hosted by Taylor and Francis Online.
This technical note presents a unified framework of stabilized finite element methods for solving the Boltzmann transport equation. The unified framework is derived from the standard Galerkin weak form with a subgrid scale model, which is different from the traditional Petrov-Galerkin finite element framework that modifies the test function to construct the stabilization term. By this method, first, the unknowns are decomposed into their numerical solutions and residuals. The decomposed unknowns are then embedded into the Galerkin weak form with an approximation for the residual, which yields a stabilized variational formula. Different methods of stabilization are derived from different approximations of the residual. Under this framework, all the frequently used stabilized methods can be obtained, including the streamline upwinding Petrov-Galerkin method, the Galerkin least-squares method, and the algebraic subgrid scale method. Thus, a unified framework of such methods is established. The similarities and differences across the different approximations are also compared in this technical note. The numerical results show that the behaviors of different methods are similar with the same stabilization parameters and that all these stabilized techniques can yield satisfactory and stable solutions.