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Development and verification of three-dimensional Hex-Z burnup sensitivity solver based on generalized perturbation theory

一般化摂動論に基づく3次元Hex-Z体系燃焼感度解析ソルバーの開発と検証

横山 賢治

Yokoyama, Kenji

汎用解析フレームワークMARBLE上において、一般化摂動論に基づく燃焼感度解析ソルバーを開発した。新しいソルバーは、燃焼により核変換した燃料組成(原子数密度)に対する核データの感度係数を拡散理論に基づく2次元R-Z体系だけでなく3次元Hex-Z体系においても計算することができる。また、この論文では、一般化摂動論の各項の結果を確認するための「項別直接計算」と名付けられた新しい検証方法を提案する。この新しい検証方法の数値実験を行うことでこの検証方法が有効であることを確認した。更に、2次元と3次元モデルの違いに起因する計算モデル効果を評価するためにサンプル計算結果を示す。

A burnup sensitivity analysis solver based on generalized perturbation theory has been developed in a multi-purpose analysis framework MARBLE. The new solver has capability to calculate sensitivity coefficients based on the diffusion theory for transmuted nuclear fuel composition after burnup, i.e. atomic number density, with respect to nuclear data not only in 2-dimensional R-Z model but also in 3-dimensional Hexagonal-Z model. In the present paper, a new numerical verification method named component-wise direct calculation is proposed to check the results of each term. A numerical experiment of the new verification method was performed, and it shows that the new verification method is valid. In addition, a sample application result is shown in order to evaluate calculation model effects due to difference between 2- and 3-dimensional models.

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