The Proceedings of the National Symposium on Power and Energy Systems
Online ISSN : 2424-2950
2008.13
Session ID : F208
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F208 Numerical Analysis of Melting/Solidification Phenomena Using a Moving Boundary Problem Analysis Method X-FEM
Akihiro UCHIBORIHiroyuki OHSHIMA
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Abstract
A numerical analysis method for melting/solidification phenomena has been developed to evaluate a feasibility of several candidate techniques in the nuclear fuel cycle. Our method is based on the eXtended Finite Element Method (X-FEM) which has been used for moving boundary problems. Key technique of the X-FEM is to incorporate signed distance function into finite element interpolation to represent a discontinuous gradient of the temperature at a moving solid-liquid interface. Construction of the finite element equation, the technique of quadrature and the method to solve the equation are reported here. The numerical solutions of the one-dimensional Stefan problem, solidification in a two-dimensional square corner and melting of pure gallium are compared to the exact solutions or to the experimental data. Through these analyses, validity of the newly developed numerical analysis method has been demonstrated.
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© 2008 The Japan Society of Mechanical Engineers
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