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Conservative Finite-Difference Algorithm for the Thermodiffusion Stefan Problem

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Finite Difference Methods. Theory and Applications (FDM 2018)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 11386))

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Abstract

The paper presents practically unconditionally stable procedure for numerical study of phase transition in multi-component alloys. The algorithm is based on a conservative fully implicit finite-volume scheme and coupled solution of the governing equations of heat and mass transfer with respect to the vector of all unknowns. The proposed method is implemented for computer simulation of phase changes in a ternary alloy under industrially relevant conditions.

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Acknowledgments

The study was supported by the Russian Foundation for Basic Research under grant 18-01-00436.

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Authors and Affiliations

  1. Keldysh Institute of Applied Mathematics, Miusskaya sq., 4, Moscow, 125047, Russia

    A. Gusev, O. Mazhorova & O. Shcheritsa

  2. Bauman Moscow State Technical University, Baumanskaya 2-ya st., 5, Moscow, 105005, Russia

    A. Gusev & O. Shcheritsa

Authors
  1. A. Gusev
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  2. O. Mazhorova
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  3. O. Shcheritsa
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Corresponding author

Correspondence to A. Gusev .

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Editors and Affiliations

  1. IICT, Bulgarian Academy of Sciences, Sofia, Bulgaria

    Ivan Dimov

  2. Eötvös Loránd University, Budapest, Hungary

    István Faragó

  3. University of Rousse, Rousse, Bulgaria

    Lubin Vulkov

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Gusev, A., Mazhorova, O., Shcheritsa, O. (2019). Conservative Finite-Difference Algorithm for the Thermodiffusion Stefan Problem. In: Dimov, I., Faragó, I., Vulkov, L. (eds) Finite Difference Methods. Theory and Applications. FDM 2018. Lecture Notes in Computer Science(), vol 11386. Springer, Cham. https://doi.org/10.1007/978-3-030-11539-5_29

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  • DOI: https://doi.org/10.1007/978-3-030-11539-5_29

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-11538-8

  • Online ISBN: 978-3-030-11539-5

  • eBook Packages: Computer ScienceComputer Science (R0)

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