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Spectral and Finite Volume Numerical Approximations for Solutal Convection in Melted Alloys

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High Performance Scientific And Engineering Computing

Part of the book series: Lecture Notes in Computational Science and Engineering ((LNCSE,volume 21))

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Abstract

This work concerns a numerical study of steady and time-dependent flow patterns induced by solutal free convection appearing during the directional solidification of binary alloys in 2D and cylindrical 3D domains. Numerical approximations are based on the spectral chebychev collocation and finite volume methods

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References

  1. D. T. J. Hurle, 1977In crystal Growth and Materials (ed E. Kaldis hi Scheel)North-Holland 550

    Google Scholar 

  2. M. E. Glicksman, S. R. Coriell and G. B. Mc Fadden 1986Ann. Rev. Fluid Mech. 18307

    Article  Google Scholar 

  3. S. R. Coriell, G. B. Mc Fadden and R. F. Sekerka 1985Ann. Rev. Mater. Sci15, 119

    Article  Google Scholar 

  4. Degenhart, A., Droll, P., El Ganaoui, M., Kadinski, L. et al 2001. In Numerical Simulation of Flows II, L.N. Physics, E.H. Hirschel, Springer Verlag, Berlin, 69–97

    Google Scholar 

  5. R. Z. Guerin, B. Billia, P. Haldenwang 1991Phys. FluidsA 3 p 1873

    Article  MATH  Google Scholar 

  6. R. Guérin, C. Le Marec, P. Haldenwang. 1998 J. Crystal Growth 194, 247

    Article  Google Scholar 

  7. R. Eymard, Th. Gallouet, and R. Herbin. 1999Finite Volume Methodsin Handbook of Numerical Analysis, P. G. Ciarlet and J. L. Lions (Eds), North Holland. Preprint (to appear)

    Google Scholar 

  8. M. El Ganaoui, P. Bontoux and O. S. Mazhorova. 1999 Finite volume method for a fluid/solid phase change problem. In Finite Volume Method for Complex Applications II. Eds. R. Vilsmeir, F. Benkhaldoun and D. Hänel, Hermes, p. 559–566

    Google Scholar 

  9. G. B. McFadden, S. R. Coriell and R. P. Boivert 1985Phys. Fluids 28 p 2716

    Article  Google Scholar 

  10. M. D. Impey, P., D. S. Riley, A. A. Wheeler and K. H. Winters 1991 Bifurcation analysis of solutal convection during directional solidificationPhys. Fluids A 3 p 535

    Article  MathSciNet  MATH  Google Scholar 

  11. C. Le Marec, R. Guérin and P. Haldenwang 1996Journal of Crystal Growth 169 p. 147

    Article  Google Scholar 

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© 2002 Springer-Verlag Berlin Heidelberg

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Guérin, R., El Ganaoui, M., Haldenwang, P. (2002). Spectral and Finite Volume Numerical Approximations for Solutal Convection in Melted Alloys. In: Breuer, M., Durst, F., Zenger, C. (eds) High Performance Scientific And Engineering Computing. Lecture Notes in Computational Science and Engineering, vol 21. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-55919-8_28

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  • DOI: https://doi.org/10.1007/978-3-642-55919-8_28

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-42946-3

  • Online ISBN: 978-3-642-55919-8

  • eBook Packages: Springer Book Archive

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