Matrix-Type Multiple Reciprocity Boundary Element Method for Solving Three-Dimensional Two-Group Neutron Diffusion Equations.

• ITAGAKI Masafumi

  Faculty of Engineering Hokkaido University

• SAHASHI Naoki

  Kozo Keikaku Engineering Inc.

書誌事項

タイトル別名

• Matrix-Type Multiple Reciprocity Bounda

抄録

The multiple reciprocity boundary element method has been applied to three-dimensional two-group neutron diffusion problems. A matrix-type boundary integral equation has been derived to solve the first and the second group neutron diffusion equations simultaneously. The matrix-type fundamental solutions used here satisfy the equation which has a point source term and is adjoint to the neutron diffusion equations. A multiple reciprocity method has been employed to transform the matrix-type domain integral related to the fission source into an equivalent boundary one. The higher order fundamental solutions required for this formulation are composed of a series of two types of analytic functions. The eigenvalue itself is also calculated using only boundary integrals. Three-dimensional test calculations indicate that the present method provides stable and accurate solutions for criticality problems.

収録刊行物

• Ｊｏｕｒｎａｌ　ｏｆ　Ｎｕｃｌｅａｒ　Ｓｃｉｅｎｃｅ　ａｎｄ　Ｔｅｃｈｎｏｌｏｇｙ（日本原子力学会英文論文誌）

  Ｊｏｕｒｎａｌ　ｏｆ　Ｎｕｃｌｅａｒ　Ｓｃｉｅｎｃｅ　ａｎｄ　Ｔｅｃｈｎｏｌｏｇｙ（日本原子力学会英文論文誌） 34 (7), 655-665, 1997

  一般社団法人 日本原子力学会

キーワード

• two-group neutron diffusion equations
• matrix-type boundary integral equation
• matrix-type fundamental solutions
• eigenvalues
• source iteration
• Wielandt's algorithm
• multiple reciprocity method
• criticality

詳細情報

• CRID: 1390282679072946944
• NII論文ID: 10002077499
• NII書誌ID: AA00703720
• DOI: 10.3327/jnst.34.655
• COI: 1:CAS:528:DyaK2sXls1Kitr4%3D
• ISSN: 18811248
• ISSN: 00223131
• NDL書誌ID: 4260274
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I4260274
• 本文言語コード: en
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