仮想熱源を用いた２相Ｓｔｅｆａｎ問題の逆解析

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  • An Inverse Analysis of Two-Phase Stefan Problems Using Imaginary Heat Sources.
  • カソウ ネツゲン オ モチイタ 2ソウ Stefan モンダイ ノ ギャク カ

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We present a new methodology for inverse analysis of time-dependent two-phase Stefan problems. The problem considered is that of determining the time change of the phase-change interface from several observed temperatures. In the present method, imaginary heat sources arranged in an imaginary domain are introduced, and then the phase change interface is identified as the isothermal surface at the melting temperature by controlling the imaginary heat source intensities. Using the delta-function type imaginary heat sources and their corresponding Green's functions, which are precalculated numerically, it is shown that the phase-change interface is determined noniteratively at each time step. Some numerical examples demonstrate the capability of the proposed method.

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