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Nuclear Science and Engineering Volume 167, 2011 - Issue 2
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Technical Paper

Acceleration of k-Eigenvalue/Criticality Calculations Using the Jacobian-Free Newton-Krylov Method

D. A. KnollIdaho National Laboratory, P.O. Box 1625, Idaho Falls, Idaho 83415-3840
,
H. ParkIdaho National Laboratory, P.O. Box 1625, Idaho Falls, Idaho 83415-3840
&
C. NewmanIdaho National Laboratory, P.O. Box 1625, Idaho Falls, Idaho 83415-3840
Pages 133-140 | Published online: 10 Apr 2017

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Qicang Shen & Brendan Kochunas. (2021) A Robust, Relaxation–Free Multiphysics Iteration Scheme for CMFD–Accelerated Neutron Transport k–Eigenvalue Calculations–I: Theory. Nuclear Science and Engineering 195:11, pages 1176-1201.
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Guangchun Zhang, Albert Hsieh, Won Sik Yang & Yeon Sang Jung. (2019) Consistent pCMFD Acceleration Schemes of the Three-Dimensional Transport Code PROTEUS-MOC. Nuclear Science and Engineering 193:8, pages 828-853.
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Hans R. Hammer, Jim E. Morel & Yaqi Wang. (2019) A Weighted Least-Squares Transport Equation Compatible with Source Iteration and Voids. Nuclear Science and Engineering 193:4, pages 388-403.
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Xiafeng Zhou & Fu Li. (2018) Jacobian-Free Newton-Krylov Nodal Expansion Methods with Physics-Based Preconditioner and Local Elimination for Three-Dimensional and Multigroup k-Eigenvalue Problems. Nuclear Science and Engineering 190:3, pages 238-257.
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Ben C. Yee, Brendan Kochunas, Edward W. Larsen & Yunlin Xu. (2017) Space-Dependent Wielandt Shifts for Multigroup Diffusion Eigenvalue Problems. Nuclear Science and Engineering 188:2, pages 140-159.
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J. Willert, C. T. Kelley, D. A. Knoll & H. Park. (2014) A Hybrid Deterministic/Monte Carlo Method for Solving the k-Eigenvalue Problem with a Comparison to Analog Monte Carlo Solutions. Journal of Computational and Theoretical Transport 43:1-7, pages 50-67.
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H. Park, D. A. Knoll & C. K. Newman. (2012) Nonlinear Acceleration of Transport Criticality Problems. Nuclear Science and Engineering 172:1, pages 52-65.
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Daniel F. Gill, Yousry Y. Azmy, James S. Warsa & Jeffery D. Densmore. (2011) Newton’s Method for the Computation of k-Eigenvalues in S Transport Applications. Nuclear Science and Engineering 168:1, pages 37-58.
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