A Sharp Phase Field Method

Abstract

Phase field modelling offers an extremely general framework to predict microstructural evolutions in complex systems. However, its computational implementation requires a discretisation scheme with a grid spacing small enough to preserve the continuous character of the theory. We present here a new formulation, which is intrinsically discrete, in which the interfaces are resolved with essentially one grid point with no pinning on the grid and an accurate rotational invariance, improving drastically the numerical capabilities of the method. We show that interfacial kinetic properties are reproduced with a high accuracy. Finally, we apply the model to a situation where conserved and non-conserved fields are coupled.

References in corpus (5)

• Quantitative Phase Field Model of Alloy Solidification
• Dynamic instabilities of fracture under biaxial strain using a phase field model
• Phase field modeling of crack propagation
• Phase-field model for Hele-Shaw flows with arbitrary viscosity contrast. I. Theoretical approach
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Cited by in corpus (3)

• Phase-field modeling of $\gamma /{\gamma }^{\prime \prime }$ microstructure formation in Ni-based superalloys with high ${\gamma }^{\prime \prime }$ volume fraction
• Towards a sharper phase-field method: a hybrid diffuse-semisharp approach for microstructure evolution problems
• Thin interface limit for phase-field models of solidification with local mobility correction