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Progress in Industrial Mathematics at ECMI 2000 pp 204–209Cite as

Computational Model for Solidification Process of a Binary Alloy

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Part of the book series: Mathematics in Industry ((TECMI,volume 1))

Abstract

A computational model using finite volume approximations for studying phase change of a binary alloy is presented. Numerical results concern the prediction of the convective response to a small solutal perturbation localized near the solid/liquid interface in a rectangular domain.

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References

  1. El Ganaoui, M., Bontoux, P. (1998) An Homogeneisation Method for Solid-Liquid Phase Change During Directional Solidification. ASME H.T.D., Numerical and Experimental methods in Heat Transfer,ed. R. A. Nelson, T. Chopin, S. T. Thynell, Vol. 361 (5), 453-469.

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  2. El Ganaoui, M., Bontoux, P. (1999) Gravity effects on solidification: the case of an unsteady melt affecting the growth interface. J. Advances in Space Research. Pergamon Press, Vol. 24, N. 10, P. 1423 - 1426.

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  3. Blanc, Ph., Gasser, L., and Rappaz, J. (1995) Existence for a stationary model of binary alloy solidification. M2AN, Vol. 29, N. 6, 687 - 699.

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  4. Kurz W. and Fisher D. J. (1986) Fundamentals of Solidification. Trans. Tech. Publications.

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  5. Eymard, R., Gallouet, Th., and Herbin, R. (1997) Finite Volume Methods, in Handbook of Numerical Analysis, P. G. Ciarlet and J. L. Lions (Eds), North Holland. Preprint 1997 (to appear).

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  6. Guerin, R., El Ganaoui, M., Lamazouade, A. and Haldenwang, P. (2001) submitted to Proceedings of ECMI 2000, Mathematics in Industry, Springer Verlag.

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Author information

Authors and Affiliations

  1. Département de Physique et Modélisation, Université de Limoges, F-87000, Limoges Cedex, France

    M. El Ganaoui

  2. Département de Modélisation Numérique, Université d’Aix Marseille, F-13452, Marseille Cedex, France

    P. Bontoux

Authors
  1. M. El Ganaoui
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  2. P. Bontoux
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Editor information

Editors and Affiliations

  1. Department of Mathematics and Computer Science, University of Catania, Viale A. Doria 6, 95125, Catania, Italy

    Angelo Marcello Anile

  2. MIRIAM and Department of Mathematics, University of Milano, Via C. Saldini 50, 20133, Milano, Italy

    Vincenzo Capasso

  3. Department of Mathematics and its Applications, University of Palermo, Via Archirafi 34, 90123, Palermo, Italy

    Antonio Greco

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© 2002 Springer-Verlag Berlin Heidelberg

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El Ganaoui, M., Bontoux, P. (2002). Computational Model for Solidification Process of a Binary Alloy. In: Anile, A.M., Capasso, V., Greco, A. (eds) Progress in Industrial Mathematics at ECMI 2000. Mathematics in Industry, vol 1. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-04784-2_27

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  • DOI: https://doi.org/10.1007/978-3-662-04784-2_27

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-07647-3

  • Online ISBN: 978-3-662-04784-2

  • eBook Packages: Springer Book Archive

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