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A numerical solution of the Stefan problem

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Czechoslovak Journal of Physics Aims and scope

Abstract

A two-dimensional Stefan problem is solved for a prism and a cylinder by approximating the enthalpy formulation of the problem byC 0 piecewise linear finite elements in space combined with a semi-implicit scheme in time. The numerical integration in space makes the scheme easy to implement.

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References

  1. Carslaw H.S. and Jaeger J.C.: Conduction of Heat in Solids, Oxford Univ. Press, Oxford 1959, p. 282.

    Google Scholar 

  2. Ladyzhenskaya O., Solonnikov V., and Uraltseva N.: Linear and Quasilinear Equations of Parabolic Type, Transl. Math. Monogr. A.M.S., 1968.

  3. Amiez G. and Gremaud P.-A.: Numer. Math.59 (1991) 71.

    Google Scholar 

  4. Kotalík P.: J. Phys III (France)3 (1993) 2113; Czech. J. Phys.43 (1993) 1165.

    Google Scholar 

  5. Roubíček T.: Ann. Inst. Henri Poincaré6 (1989) 481; Numer. Funct. Anal. Optimiz.11 (1990) 793.

    Google Scholar 

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Authors and Affiliations

  1. Institute of Plasma Physics, Acad. Sci. Czech Rep., Za Slovankou 3, P.O.B. 17, 182 00, Praha 8, Czech Republic

    Pavel Kotalík

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  1. Pavel Kotalík
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Additional information

This work was partially supported by GA CR grant No. 106/93/0638.

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Kotalík, P. A numerical solution of the Stefan problem. Czech J Phys 46, 793–801 (1996). https://doi.org/10.1007/BF01742450

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  • DOI: https://doi.org/10.1007/BF01742450

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