1/4 cell-based two-level coarse-mesh finite difference acceleration method

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ZHOU Xiaoyu, WANG Hao, LI Peijun, HAO Chen


To further reduce the number of iterations of high-fidelity neutron transport calculations using the cell-based coarse-mesh finite difference (CMFD) method to obtain great acceleration benefits, this paper proposes and implements a 1/4 cell-based two-level CMFD acceleration method based on Fourier analysis and implements the geometric modeling method based on constructive solid geometry with 1/4 cells. C5G7 RA and VERA benchmark #4 3D problems were used to verify the correctness and acceleration effect of the method, and high-fidelity steady-state critical calculations were performed under different operating conditions based on the 1/4 cell-based model of Qinshan Phase I PWR. The results show that the application of the 1/4 cell-based two-level CMFD acceleration method can further reduce the number of outer iterations by about 1/3 with guaranteed accuracy. The maximum error of the critical boron concentration of Qinshan Phase I PWR is -21×10-6, and the high-fidelity neutron physics calculation time is 88.3 core hours for the 1/4 cell-based model. The method effectively reduces the computational burden of high-fidelity transport calculation in terms of reducing the iteration number and computational scale.

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