Application of finite element method to two-dimensional multi-group neutron transport equation in cylindrical geometry.

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概要

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• The finite element method is applied to the spatial variables of multi-group neutrontransport equation in the two-dimensional cylindrical (r, z) geometry. The equation is discretized using regular rectangular subregions in the (r, z) plane. The discontinuous method with bilinear or biquadratic Lagrange's interpolating polynomials as basis func-tions is incorporated into a computer code FEMRZ. Here, the angular fluxes are allowed to be discontinuous across the subregion boundaries.<BR>Some numerical calculations have been performed and the results indicated that, inthe case of biquadratic approximation, the solutions are sufficiently accurate and numer-ically stable even for coarse meshes. The results are also compared with those obtained by a diamond difference S<SUB>n</SUB> code TWOTRAN-II. The merits of the discontinuous method are demonstrated through the numerical studies.

• 一般社団法人 日本原子力学会の論文

著者

• TSUTSUI Tsuneo

  Japan Atomic Energy Research Institute

• OHNISHI Tadahiro

  Atomic Energy Research Laboratory, Hitachi Ltd.

• FUJIMURA Toichiro

  Japan Atomic Energy Research Institute

• HORIKAMI Kunihiko

  Japan Atomic Energy Research Institute

• NAKAHARA Yasuaki

  Japan Atomic Energy Research Institute

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