Abstract
The moving solid-liquid interface of a melting solid in a rectangular enclosure is identified from temperature and flux measurements performed on the cold side of the solid only . The lack of measurement in the liquid phase prevents the interface to be recovered by straightforward use of the direct Stefan solution . The identification of this melting front 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.
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Wang, XF., Rosset-Louërat, MM., Bénard, C. (1992). Inverse Problem : Identification of a melting front in the 2D case. In: Barbu, V., Tiba, D., Bonnans, J.F. (eds) Optimization, Optimal Control and Partial Differential Equations. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série Internationale d’Analyse Numérique, vol 107. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8625-3_10
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DOI: https://doi.org/10.1007/978-3-0348-8625-3_10
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