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Application of the hierarchical domain decomposition boundary element method to the simplified P$$_{3}$$ equation

Chiba, Go

In the present paper, the hierarchical domain decomposition boundary element method (HDD-BEM), which has been developed to solve the diffusion equation, is applied to the simplified P$$_{3}$$ (SP$$_{3}$$) equation. The solution methodology of the HDD-BEM for the SP$$_{3}$$ equation is provided in the present paper. A computer program ABEMIE based on the HDD-BEM is developed, and a two-dimensional one-group anisotropic scattering benchmark problem is solved with it to verify the present HDD-BEM for the SP$$_{3}$$ equation. Through numerical benchmarking, it is shown that the present method results in good agreement with the solution obtained by using the existing SP$$_{N}$$ solver based on the finite element method for both eigenvalue and neutron flux distribution. This benchmark result suggests that the HDD-BEM can be an efficient solver for the SP$$_{N}$$ equation.

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Category:Nuclear Science & Technology

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