Finite element methods for problems with solid-liquid-solid phase transitions and free melt surface |
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Authors: | Mischa Jahn Andreas Luttmann Alfred Schmidt Jordi Paul |
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Institution: | 1. Zentrum für Technomathematik (ZeTeM), Universität Bremen, Germany;2. Department Mathematik, Friedrich-Alexander-Universität Erlangen-Nürnberg, Germany |
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Abstract: | Modeling and computation of a process with solid-liquid-solid phase transitions and a free capillary surface is discussed. The main components of the model are heat conduction, a free melt surface, a moving phase boundary, and its coupling with the Navier-Stokes equations. We present two different approaches for handling the phase transitions by applying in a FE method, namely an energy conservation based approach, and a sharp interface approach with moving mesh. By combining both methods, we benefit from the advantages of the respective approach. The methods are applied to a problem where material is accumulated by melting the tip of thin steel wires using laser heating. (© 2012 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim) |
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