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Mehran Vagheian,Dariush Rezaei Ochbelagh,Morteza Gharib 한국원자력학회 2019 Nuclear Engineering and Technology Vol.51 No.5
A new moving-mesh Finite Volume Method (FVM) for the efficient solution of the two-dimensionalneutron diffusion equation is introduced. Many other moving-mesh methods developed to solve theneutron diffusion problems use a relatively large number of sophisticated mathematical equations, andso suffer from a significant complexity of mathematical calculations. In this study, the proposed methodis formulated based on simple mathematical algebraic equations that enable an efficient mesh movementand CV deformation for using in practical nuclear reactor applications. Accordingly, a computationalframework relying on a new moving-mesh FVM is introduced to efficiently distribute the meshesand deform the CVs in regions with high gradient variations of reactor power. These regions of interestare very important in the neutronic assessment of the nuclear reactors and accordingly, a higher accuracyof the power densities is required to be obtained. The accuracy, execution time and finally visual comparison of the proposed method comprehensivelyinvestigated and discussed for three different benchmark problems. The results all indicated a higheraccuracy of the proposed method in comparison with the conventional fixed-mesh FVM.