Boundary element methods applied to two-dimensional neutron diffusion problems.

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概要

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• The Boundary element method (BEM) has been applied to two-dimensional neutron diffusion problems. The boundary integral equation and its discretized form have been derived. Some numerical techniques have been developed, which can be applied to critical and fixed-source problems including multi-region ones. Two types of test programs have been developed according to whether the 'zero-determinant search' or the 'source iteration' technique is adopted for criticality search. Both programs require only the fluxes and currents on boundaries as the unknown variables. The former allows a reduction in computing time and memory in comparison with the finite element method (FEM). The latter is not always efficient in terms of computing time due to the domain integral related to the inhomogeneous source term; however, this domain integral can be replaced by the equivalent boundary integral for a region with a non-multiplying medium or with a uniform source, resulting in a significant reduction in computing time.<BR>The BEM, as well as the FEM, is well suited for solving irregular geometrical problems for which the finite difference method (FDM) is unsuited. The BEM also solves problems with infinite domains, which cannot be solved by the ordinary FEM and FDM. Some simple test calculations are made to compare the BEM with the FEM and FDM, and discussions are made concerning the relative merits of the BEM and problems requiring future solution.

• 一般社団法人 日本原子力学会の論文

著者

• Itagaki Masafumi

  Japan Atomic Energy Research Institute

• ITAGAKI Masafumi

  Japan Nuclear Ship Research and Development Agency

関連論文

• Three-Dimensional Isoparametric Boundary Element Method for Solving Neutron Diffusion Equations
• Analytic solution technique for solving one-group diffusion equations for core simulations.
• Boundary element methods applied to two-dimensional neutron diffusion problems.

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