Universal Dynamics of Phase-Field Models for Dendritic Growth

Abstract

We compare time-dependent solutions of different phase-field models for dendritic solidification in two dimensions, including a thermodynamically consistent model and several ad hoc models. The results are identical when the phase-field equations are operating in their appropriate sharp interface limit. The long time steady state results are all in agreement with solvability theory. No computational advantage accrues from using a thermodynamically consistent phase-field model.

4 pages, 3 postscript figures, in latex, (revtex)

References in corpus (1)

• Adaptive Mesh Refinement Computation of Solidification Microstructures using Dynamic Data Structures

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