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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.
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ANS Student Conference 2025
April 3–5, 2025
Albuquerque, NM|The University of New Mexico
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Latest News
Norway’s Halden reactor takes first step toward decommissioning
The government of Norway has granted the transfer of the Halden research reactor from the Institute for Energy Technology (IFE) to the state agency Norwegian Nuclear Decommissioning (NND). The 25-MWt Halden boiling water reactor operated from 1958 to 2018 and was used in the research of nuclear fuel, reactor internals, plant procedures and monitoring, and human factors.
N. Odry, J.-J. Lautard, J.-F. Vidal, G. Rimpault
Nuclear Science and Engineering | Volume 187 | Number 3 | September 2017 | Pages 240-253
Technical Paper | doi.org/10.1080/00295639.2017.1320891
Articles are hosted by Taylor and Francis Online.
An iterative domain decomposition method (DDM) is implemented inside the APOLLO3 Sn transport core solver MINARET. Based on a block-Jacobi algorithm, the method inherently suffers a convergence penalty in terms of both computing time and number of iterations. An acceleration method has to be developed in order to overcome this difficulty. This paper investigates a nonlinear coarse mesh rebalance (CMR) method that favors the way information propagates through the core when domain decomposition is used. The fundamental idea involves updating each subdomain boundary condition thanks to a core-sized low-order calculation on a coarse spatial mesh. The numerical convergence is sped up. Performances are meeting the expectations since the CMR acceleration systematically succeeds in overbalancing the domain decomposition additional cost. The aim of such a DDM + CMR algorithm is eventually to introduce more parallelism when solving the spatial transport equation. Nevertheless, parallel computing is not addressed in this paper.
