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Abstract
The HCMFD (Hybrid Coarse-Mesh Finite Difference) with GPS (GET Plus SPH) method and its 3-D application are investigated in this paper. In the HCMFD algorithm, a parallel computing for a pin-by-pin core calculation can be performed very effectively with a non-linear local-global iterative scheme. For an effective parallel computing, the one-node CMFD is used to solve a global eigenvalue problem. The conventional two-node CMFD is used for solving local fixed source problems with incoming current boundary conditions. The GPS method is a leakage correction method to correct the pin-wise XSs of the conventional GET-based two-step procedure. In the GPS method, the XS-dependent SPH factors are parameterized as a function of the pin-wise albedo information, current-to-flux ratio (CFR). With updated XS-wise SPH factors, the pin-wise XSs are corrected in order to improve the accuracy of the conventional two-step core analysis. The GPS method is implemented to an in-house pin-by-pin diffusion solver with the HCMFD algorithm to keep their strong points together. In this paper, several 3-D variant cores of KAIST-1A benchmark problem were chosen to demonstrate the combination of HCMFD and GPS (HCMFD-GPS) method.
Highlights
The assembly-wise homogenized group constants, the cross sections (XS) and discontinuity factors (DF), have an inevitable error due to the unrealistic reflective boundary condition in the lattice calculation
It has been shown that a whole-core pin-by-pin diffusion analysis can be performed in a very short time by the Hybrid Coarse-Mesh Finite Difference (HCMFD) algorithm, and the feasibility of the generalized equivalence theory (GET) Plus superhomogenization method (SPH) (GPS) method in 2-D geometries has been demonstrated in the previous studies
The reference core calculations were performed by a continuous energy Monte Carlo (MC) code, Serpent2 [8] with the ENDF/B-VII.1 library
Summary
The assembly-wise homogenized group constants, the cross sections (XS) and discontinuity factors (DF), have an inevitable error due to the unrealistic reflective boundary condition in the lattice calculation. Such error is more significant to the pin-cell-homogenized group constants due to strong neighborhood effects. The computing time for a conventional pin-by-pin diffusion analysis is not short enough to have any merit. It has been shown that a whole-core pin-by-pin diffusion analysis can be performed in a very short time by the HCMFD algorithm, and the feasibility of the GPS method in 2-D geometries has been demonstrated in the previous studies. It is expected that a whole-core pin-by-pin diffusion analysis result with sufficient accuracy can be obtained within a very short time
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