Computation of dendritic microstructures using a level set method

Abstract

We compute time-dependent solutions of the sharp-interface model of dendritic solidification in two dimensions by using a level set method. The steady-state results are in agreement with solvability theory. Solutions obtained from the level set algorithm are compared with dendritic growth simulations performed using a phase-field model and the two methods are found to give equivalent results. Furthermore, we perform simulations with unequal diffusivities in the solid and liquid phases and find reasonable agreement with the available theory.

4 pages, 3 Postscript figures

References in corpus (3)

• Efficient Computation of Dendritic Microstructures using Adaptive Mesh Refinement
• Adaptive Mesh Refinement Computation of Solidification Microstructures using Dynamic Data Structures
• Universal Dynamics of Phase-Field Models for Dendritic Growth

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