Modeling dendritic growth of a binary alloy

P. Zhao, M. Vénere, Juan C. Heinrich, D. R. Poirier

Research output: Contribution to journalArticlepeer-review

44 Scopus citations


A two-dimensional model for simulation of the directional solidification of dendritic alloys is presented. It solves the transient energy and solute conservation equations using finite element discretizations. The energy equation is solved in a fixed mesh of bilinear elements in which the interface is tracked; the solute conservation equation is solved in an independent, variable mesh of quadratic triangular elements in the liquid phase only. The triangular mesh is regenerated at each time step to accommodate the changes in the interface position using a Delaunay triangulation. The model is tested in a variety of situations of differing degrees of difficulty, including the directional solidification of Pb-Sb alloys.

Original languageEnglish (US)
Pages (from-to)434-461
Number of pages28
JournalJournal of Computational Physics
Issue number2
StatePublished - Jul 1 2003


  • Binary alloys
  • Dendritic solidification
  • Finite element method
  • Interface tracking

ASJC Scopus subject areas

  • Numerical Analysis
  • Modeling and Simulation
  • Physics and Astronomy (miscellaneous)
  • General Physics and Astronomy
  • Computer Science Applications
  • Computational Mathematics
  • Applied Mathematics


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