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Cost-accuracy analysis of a variational nodal 2D/1D approach to pin resolved neutron transport
ZHANG Tengfei1, WU Hongchun1, CAO Liangzhi1, LEWIS Elmer-E.2, SMITH Micheal-A.3, and YANG Won-sik4
1. Department of Nuclear Engineering, Xi’an Jiaotong University, No. 28 Xianning West Rd., Xi’an, Shannxi, 710049, China (,,
2. Department of Mechanical Engineering, Northwestern University, 2145 Sheridan Road Tech, Evanston, IL, 60208-3109, U.S. (
3. Nuclear Engineering Division, Argonne National Laboratory, 700 South Cass Avenue, Lemont, IL, 60439, U.S. (
4. School of Nuclear Engineering, Purdue University, 400 Central Drive, West Lafayette, IN, 47907, U.S. (
Abstract: A two-dimensional/one-dimensional (2D/1D) variational nodal approach is presented for pressurized water reactor (PWR) core calculations without fuel-moderator homogenization. It employs diffusion theory in the axial direction combined with two-dimensional transport in the x-y plane. In the x-y direction, finite element trial functions are applied to explicitly model the pin resolved geometry. On the axial interfaces, piece-wise constant trial functions are used to eliminate the interface homogenization that has been a challenge for method of characteristics (MOC) based 2D/1D approximations, and resolve the lack of convergence as the axial mesh is refined. In this paper, the method is tested with the un-rodded C5G7 benchmark case, and the cost-accuracy trade-offs between different angular treatments are analyzed.
Keyword: variational nodal 2D/1D method; eliminating the interface homogenization 
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