Conservative Finite-Difference Algorithm for the Thermodiffusion Stefan Problem

  • A. GusevEmail author
  • O. Mazhorova
  • O. Shcheritsa
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 11386)


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.


Stefan problem Phase transition 



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


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© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Keldysh Institute of Applied MathematicsMoscowRussia
  2. 2.Bauman Moscow State Technical UniversityMoscowRussia

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