An inverse analysis of two-phase Stefan problems using imaginary heat sources
✍ Scribed by Momose, Kazunari ;Yamakawa, Takashi ;Kimoto, Hideo
- Publisher
- John Wiley and Sons
- Year
- 1998
- Tongue
- English
- Weight
- 234 KB
- Volume
- 27
- Category
- Article
- ISSN
- 0096-0802
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✦ Synopsis
This paper presents a new methodology for the inverse analysis of timedependent two-phase Stefan problems. The problem considered here is that of determining the time dependence of a phase-change interface at several observed temperatures. In our method, imaginary heat sources are arranged in an imaginary domain and then the phase-change interface is identified as the isothermal surface at the melting temperature by controlling the imaginary heat source intensities. Using delta-function imaginary heat sources and their corresponding Green functions, which are pre-calculated numerically, it is shown that the phase-change interface is determined non-iteratively at each time step. We offer numerical examples to demonstrate the capability of the proposed method.