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Nuclear Science and Engineering Volume 188, 2017 - Issue 2
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Technical Papers

Space-Dependent Wielandt Shifts for Multigroup Diffusion Eigenvalue Problems

Ben C. YeeUniversity of Michigan, Department of Nuclear Engineering and Radiological Sciences, Ann Arbor, Michigan48109-2104Correspondence[email protected]
ORCID Iconhttp://orcid.org/0000-0003-3418-965X
ORCID Icon,
Brendan KochunasUniversity of Michigan, Department of Nuclear Engineering and Radiological Sciences, Ann Arbor, Michigan48109-2104
,
Edward W. LarsenUniversity of Michigan, Department of Nuclear Engineering and Radiological Sciences, Ann Arbor, Michigan48109-2104
&
Yunlin XuUniversity of Michigan, Department of Nuclear Engineering and Radiological Sciences, Ann Arbor, Michigan48109-2104
Pages 140-159 | Received 13 Apr 2017, Accepted 29 Jun 2017, Published online: 07 Aug 2017

Citations (12)

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Read on this site (6)

Qicang Shen, Sooyoung Choi & Brendan Kochunas. (2021) A Robust, Relaxation-Free Multiphysics Iteration Scheme for CMFD-Accelerated Neutron Transport k-Eigenvalue Calculations—II: Numerical Results. Nuclear Science and Engineering 195:11, pages 1202-1235.
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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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L. R. Cornejo, B. S. Collins, S. G. Stimpson & A. M. Graham. (2021) Multilevel-in-Space-and-Energy CMFD in VERA. Nuclear Science and Engineering 195:8, pages 890-905.
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Luke R. Cornejo, Dmitriy Y. Anistratov & Kord Smith. (2019) Iteration Methods with Multigrid in Energy for Eigenvalue Neutron Diffusion Problems. Nuclear Science and Engineering 193:8, pages 803-827.
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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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Ben C. Yee, Brendan Kochunas & Edward W. Larsen. (2019) A Multilevel in Space and Energy Solver for 3-D Multigroup Diffusion and Coarse-Mesh Finite Difference Eigenvalue Problems. Nuclear Science and Engineering 193:7, pages 722-745.
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Articles from other publishers (6)

Qingquan Pan, Yun Cai, Lianjie Wang, Xiaojing Liu, Hui He & Kan Wang. (2023) Improved Wielandt method with real-time error tolerance based on NLSP3 code. Annals of Nuclear Energy 182, pages 109621.
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Muhammad Ramzy Altahhan, René van Geemert, Maria Avramova & Kostadin Ivanov. (2022) Extending a low-order inhomogeneous adjoint equations model to a higher-order model with verification on integral applications. Annals of Nuclear Energy 177, pages 109277.
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Fande Kong. (2020) Neutron transport criticality calculations using a parallel monolithic multilevel Schwarz preconditioner together with a nonlinear diffusion acceleration method. Annals of Nuclear Energy 141, pages 107342.
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Zachary M. Prince & Jean C. Ragusa. (2020) Application of proper generalized decomposition to multigroup neutron diffusion eigenvalue calculations. Progress in Nuclear Energy 121, pages 103232.
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A. Gammicchia, S. Santandrea, I. Zmijarevic, R. Sanchez, Z. Stankovski, S. Dulla & P. Mosca. (2020) A MOC-based neutron kinetics model for noise analysis. Annals of Nuclear Energy 137, pages 107070.
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Ben C. Yee, Brendan Kochunas & Edward W. Larsen. (2017) A multilevel in space and energy solver for multigroup diffusion eigenvalue problems. Nuclear Engineering and Technology 49:6, pages 1125-1134.
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