Anderson, D.
, McFadden, G.
and Wheeler, A.
(2000),
A Phase-Field Model With Convection: Numerical Simulations, NIST Interagency/Internal Report (NISTIR), National Institute of Standards and Technology, Gaithersburg, MD
(Accessed April 25, 2024)
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A Phase-Field Model With Convection: Numerical Simulations
Published
Author(s)
D M. Anderson, , A A. Wheeler
Abstract
In a previously developed phase-field model of solidification that includes convection in the melt, the two phases are represented as viscous liquids, where the putative solid phase has a viscosity much larger than the liquid phase. In this paper we report numerical computations on a simplified form of this model which represents the growth of a two-dimensional dendrite in a thin gap between twoparallel thermally insulting plates. In these computations flow in the liquid arises because of the differing densities of the solid and liquid phases.Citation
NIST Interagency/Internal Report (NISTIR) - 6442
Report Number
6442
NIST Pub Series
Pub Type
NIST Pubs
Keywords
dendritic growth, density-driven convection, Hele-Shaw approximation, Navier-Stokes equations, phase-field model
Citation
Created November 30, 2000, Updated October 12, 2021