移動境界問題解析手法X-FEMによる融解・凝固現象の数値解析(高速炉,<特集>第13回動力・エネルギー技術シンポジウム)

概要

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A numerical analysis method for melting/solidification phenomena has been developed to evaluate feasibility of the several candidate techniques in the nuclear fuel cycle. Our method is based on an extended finite element method, which has been developed for moving boundary problems. The basic idea of the method is to incorporate a signed distance function into a finite element interpolation to represent a discontinuous gradient of the temperature at a moving solid-liquid interface. This technique makes it possible to simulate movement of the solid-liquid interface without the use of a moving mesh. Construction of the finite element equation has been discussed in this study. The technique of quadrature and the method to solve the governing equations have also been constructed. The numerical solutions of the basic problems were compared to the approximate solutions or to the existing experimental data. Through these verifications, validity of the newly developed numerical analysis method has been demonstrated.
社団法人日本機械学会の論文
2009-03-25