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A Phase-Field Model of Convection with Solidification



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


A phase-field model for the solidification of a pure material that incorporates convection has recently been developed. This model is a two-fluid model in which the solid phase is modeled as a sufficiently viscous fluid. The model allows for the solid and liquid phases to have different densities and hence allows for expansion or contraction flows upon solidification. In this paper we investigate numerically a simplified version of this model by considering solidification occurring between the two closely-spaced parallel plates of a Hele-Shaw cell. We assess two key aspects of the model: (1) the effect of density differences between the solid and liquid phases during dendritic growth and (2) the role played by the viscosity ratio between the solid and liquid phases.
Proceedings Title
Proceedings of the 40th AIAA Aerospace Sciences Meeting
Conference Dates
January 14-17, 2002
Conference Location
Reno, NV, USA
Conference Title
AIAA Aerospace Science Meeting and Exhibit


dendritic solidification, density-driven convection, diffuse-interface model, Hele-Shaw, phase field model


Anderson, D. , McFadden, G. and Wheeler, A. (2002), A Phase-Field Model of Convection with Solidification, Proceedings of the 40th AIAA Aerospace Sciences Meeting, Reno, NV, USA (Accessed May 28, 2024)


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Created December 31, 2001, Updated October 12, 2021