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Methodology on comparing heterogeneous model with homogeneous one

高温ガス炉炉心の詳細モデルと均一モデルの差の評価方法の検討

高松 邦吉  

Takamatsu, Kuniyoshi

本研究では、均質化した変数を使った場合と詳細化した変数を使った場合で、解析結果にどのような差が生じるかを、因数分解の和を使って検討する手法を提案する。因数分解を使う理由は、解析結果の差を単なる数量ではなく、各々の変数の分布の形の関係性として捉えることができるからである。この手法は原子炉物理又は熱流動や他の専門分野に区別なく、微分方程式に対して統一的に利用することができる。

Without distinction of expertise such as reactor physics or thermal-hydraulics, mathematical models explaining physical phenomena use differential equations and have been changed from homogenous to heterogeneous. However, considering time cost until obtaining desire analytical results, homogeneous models have enough convenience today. Therefore, differential equations explaining physical phenomena include homogeneous and heterogeneous variables. In this paper, methodology for quantitative evaluation by using sum of factorizations is presented. This method is useful to cognize physically the analytical difference between homogeneous model and heterogeneous one because general method can show only numerical value without relationship among distributions of variables. Regardless of reactor physics or thermal-hydraulics, differential equations can be comprehended from a new different viewpoint.

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