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A Phase-Field Model With Convection: Numerical Simulations



D M. Anderson, Geoffrey B. McFadden, A A. Wheeler


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.
NIST Interagency/Internal Report (NISTIR) - 6442
Report Number


dendritic growth, density-driven convection, Hele-Shaw approximation, Navier-Stokes equations, phase-field model


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 20, 2024)
Created November 30, 2000, Updated October 12, 2021