Abstract
We describe an application of the method of lines to the two-phase two-dimensional Stefan problem with a Gibbs-Thomson interface condition. Formally, the resulting sequentially one-dimensional numerical algorithm is unaffected by the presence of a curvature term on the free boundary. Numerical experiments show that its actual performance likewise is unaffected. Thus front tracking can be used to examine the influence of surface tension on the solidification of a supercooled liquid.
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Meyer, G.H. (1988). Front Tracking For the Conductive Stefan Problem with Surface Tension. In: Agarwal, R.P., Chow, Y.M., Wilson, S.J. (eds) Numerical Mathematics Singapore 1988. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série internationale d’Analyse numérique, vol 86. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-6303-2_27
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DOI: https://doi.org/10.1007/978-3-0348-6303-2_27
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-7643-2255-7
Online ISBN: 978-3-0348-6303-2
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