@inproceedings{3b2b4112fa9c415798ed51708de18942,

title = "An enthalpy based scheme for simulating dendritic growth",

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.",

keywords = "Binary alloy, Dendrtic growth, Enthalpy method",

author = "Voller, {Vaughan R}",

year = "2006",

month = dec,

day = "8",

language = "English (US)",

isbn = "0873396294",

series = "Modeling of Casting, Welding and Advanced Solidification Processes - XI",

pages = "465--472",

booktitle = "Modeling of Casting, Welding and Advanced Solidification Processes - XI",

note = "Modeling of Casting, Welding and Advanced Solidification Processes - XI ; Conference date: 28-05-2006 Through 02-06-2006",

}