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

• ITAGAKI Masafumi

  Japan Atomic Energy Research Institute

• SAHASHI Naoki

  Kozo Keikaku Engineering Inc.

抄録

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.

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） 33 (1), 7-16, 1996

  一般社団法人 日本原子力学会

キーワード

• three-dimentional neutron diffusion equation
• boundary element method
• boundary integral equation
• irregular geometry
• isoparametric elements
• discontinuous element
• singular integral
• Cauchy principal value
• Gauss' theorem
• Green's second identity
• method of images
• parallel processing
• accuracy

詳細情報

• CRID: 1390001204096203904
• NII論文ID: 10002073958
• NII書誌ID: AA00703720
• DOI: 10.3327/jnst.33.7
• COI: 1:CAS:528:DyaK28Xhtlems7o%3D
• ISSN: 18811248
• ISSN: 00223131
• 本文言語コード: en
• データソース種別:
  • JaLC
  • Crossref
  • CiNii Articles
• 抄録ライセンスフラグ: 使用不可