Abstract
In a recent paper of SHEN et al. energy-stability bounds were computed for the thermocapillary convection in a model of the float-zone crystal-growth process. The main application is expected to be the production of high-quality semiconductor material in low-gravity environments. Here we outline the physical and mathematical background and then describe in detail the numerical method used to solve the resulting nonlinear eigenvalue problem. Some information on the performance of the method is given and numerical results are presented with a comparison to those of model experiments.
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© 1990 Birkhäuser Verlag Basel
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Mittelmann, H.D. (1990). Computing Stability Bounds for Thermocapillary Convection in a Crystal-Growth Free Boundary Problem. In: Hoffmann, KH., Sprekels, J. (eds) Free Boundary Value Problems. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série internationale d’Analyse numérique, vol 95. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-7301-7_11
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DOI: https://doi.org/10.1007/978-3-0348-7301-7_11
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