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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.
2021 ANS Virtual Annual Meeting
June 14–16, 2021
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Nuclear Science and Engineering
Fusion Science and Technology
The consequences of closure: The local cost of shutting down a nuclear power plant
When on May 7, 2013, the Kewaunee nuclear power plant in rural Wisconsin was shut down, it took with it more than 600 full-time jobs and more than $70 million in lost wages, not including temporary employment from refueling and maintenance outages. Taking into account indirect business-to-business activity, the total economic impact of the closure of the single-unit pressurized water reactor was estimated to be more than $630 million to the surrounding three-county area.
Nuclear Science and Engineering | Volume 195 | Number 1 | January 2021 | Pages 1-12
Technical Paper | dx.doi.org/10.1080/00295639.2020.1785190
Articles are hosted by Taylor and Francis Online.
We present the new iterative method lpCMFD-SOR, which combines the linear prolongation coarse-mesh finite difference (lpCMFD) scheme with the method of successive overrelaxation (SOR) for neutron transport source iteration (SI). The lpCMFD method is the latest coarse-mesh finite difference (CMFD)–type acceleration scheme and is unconditionally stable and more effective than the standard CMFD method. The SOR method is a variant of the Gauss-Seidel method for solving a linear system of equations, resulting in faster convergence. The idea is to update the scattering source with overrelaxation to speed up the coupled transport-diffusion SI. Fourier analysis shows that the lpCMFD-SOR method converges for a relaxation parameter in the range of . It becomes less effective when underrelaxed (i.e., ) and increasingly more effective as increases above 1 until reaching the optimal overrelaxation value, which is, however, problem dependent. The optimal overrelaxation parameter increases with both the scattering ratio and the optical thickness of the problem. Numerical experiments have confirmed the Fourier analysis results. In general, the SOR method can further enhance the convergence rate of the lpCMFD method by more than 40% for neutron transport problems.