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一类反Stefan问题中自由边界的实时跟踪

Tracking of a Moving Boundary for a Type of Inverse Stefan Problems
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摘要 对处于融化过程中的固体 ,可以利用在固定边界上得到的温度和热流测量数据 ,实时估计固体与液体之间的动态边界。由于在实际过程中无法在液体边测量其温度和热流 ,因此 ,该类问题无法通过直接 Stefan问题求解来得到动态边界的实时估计。将该类问题的求解归结为一类病态反 Stefan问题的求解 ,给出了一种基于 The moving boundary of a melting solid is estimated from temperature and flux measurements performed on the cold side of the solid only. The lack of measurement in the liquid phase prevents the moving boundary to be recovered by straightforward use of the direct Stefan solution. The estimation of this moving boundary is an inverse problem that requires particular solving methods. An algorithm is used, based on a regularized least square approach, that is extended to this nonlinear case by a predictive sliding horizon technique.
出处 《西安理工大学学报》 CAS 2000年第3期261-264,共4页 Journal of Xi'an University of Technology
基金 国家教育部留学回国人员基金
关键词 反Stefan问题 估计 调节 自由边界 实时跟踪 inverse Stefan problem estimation regularization
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参考文献4

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