An enthalpy based scheme for simulating dendritic growth

Research output: Chapter in Book/Report/Conference proceedingConference contribution

4 Scopus citations

Abstract

A fixed grid enthalpy method is developed for simulating the growth of a dendrtic crystal in an undercooled binary alloy melt held in a two-dimensional cavity. The approach solves the transport equations for mixture enthalpy and mixture concentration on a uniform grid of square control volumes. In dimensionless form the enthalpy is defined as the sum of the temperature and liquid fraction. The curvature of the solid-liquid interface is calculated by treating the liquid fraction in this definition as a "level set". Calculations of the curvature are then used, in computational cells on the interface, to set the temperature to the undercooled value obtained from the Gibbs-Thomson condition. Results are relatively free of grid anisotropy, approach the steady state tip velocity predicted from microscopic solubility theory, and predict realistic behavior for solute redistribution.

Original languageEnglish (US)
Title of host publicationModeling of Casting, Welding and Advanced Solidification Processes - XI
Pages465-472
Number of pages8
StatePublished - Dec 8 2006
EventModeling of Casting, Welding and Advanced Solidification Processes - XI - Opio, France
Duration: May 28 2006Jun 2 2006

Publication series

NameModeling of Casting, Welding and Advanced Solidification Processes - XI
Volume1

Other

OtherModeling of Casting, Welding and Advanced Solidification Processes - XI
CountryFrance
CityOpio
Period5/28/066/2/06

Keywords

  • Binary alloy
  • Dendrtic growth
  • Enthalpy method

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