Three-Dimensional Isoparametric Boundary Element Method for Solving Neutron Diffusion Equations

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概要

• 論文の詳細を見る

• The three-dimensional neutron diffusion equation has been solved using the boundary element method employing quadratic isoparametric boundary elements. Direct computation of the singular integral which arises in the present formulation can be avoided using standard mapping techniques, i.e., polar coordinates transformation is introduced after the quadrilateral element is subdivided into four triangles. The domain integral in the boundary integral equation corresponding to the neutron diffusion equation is converted into an equivalent boundary one when the integral is related to a uniform source or a slowing-down source. No boundary elements are required on the outer surface of an infinite reflector. The boundary elements for a symmetry plane can be also omitted when the method of images is adopted. Test calculations show that the present techniques provide accurate solutions for problems of irregular geometries.

• 社団法人 日本原子力学会の論文
• 1996-01-25

著者

• Itagaki Masafumi

  Japan Atomic Energy Research Institute

• SAHASHI Naoki

  Kozo Keikaku Engineering Inc.

関連論文

• Three-Dimensional Isoparametric Boundary Element Method for Solving Neutron Diffusion Equations
• Matrix-Type Multiple Reciprocity Boundary Element Method for Solving Three-Dimensional Two-Group Neutron Diffusion Equations
• Three-Dimensional Multiple Reciprocity Boundary Element Method for One-Group Neutron Diffusion Eigenvalue Computations
• 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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