Modeling dendritic growth of a binary alloy

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

Research output: Contribution to journalArticle

42 Citations (Scopus)

Abstract

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
Volume188
Issue number2
DOIs
StatePublished - Jul 1 2003

Fingerprint

Binary alloys
binary alloys
Solidification
mesh
Conservation
conservation equations
solutes
Triangulation
triangulation
energy conservation
two dimensional models
liquid phases
Liquids
simulation
energy

Keywords

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

ASJC Scopus subject areas

  • Computer Science Applications
  • Physics and Astronomy(all)

Cite this

Modeling dendritic growth of a binary alloy. / Zhao, P.; Vénere, M.; Heinrich, Juan C.; Poirier, David R.

In: Journal of Computational Physics, Vol. 188, No. 2, 01.07.2003, p. 434-461.

Research output: Contribution to journalArticle

Zhao, P. ; Vénere, M. ; Heinrich, Juan C. ; Poirier, David R. / Modeling dendritic growth of a binary alloy. In: Journal of Computational Physics. 2003 ; Vol. 188, No. 2. pp. 434-461.
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