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Interface stabilization and propagation in phase field models of solidification: resolving the issue of large driving forces

M. Uddagiri, M. Tegeler, I. Steinbach

Modelling and Simulation in Materials Science and Engineering, 32, 065034, (2024)

DOI: 10.1088/1361-651x/ad691d

Download: BibTEX

One of the long-standing problems in the phase field, namely, combining the principles of thermodynamics and capillarity with the numerical aspects of interface propagation in simulations, is re-investigated. Numerical schemes are discussed which allow for stable simulations with arbitrary driving forces, considering or excluding capillarity. We re-investigate a classical stabilization scheme that decouples interface stabilization from curvature evaluation, ensuring stable simulations even under large driving forces. A novel mathematical analysis gives a rigorous estimate for the time stepping and a numerical value of the required stabilization strength. The proposed stabilization scheme is benchmarked for three-dimensional dendritic growth under directional solidification conditions for different solidification speeds.

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{"type":"article", "name":"m.uddagiri20249", "author":"M. Uddagiri and M. Tegeler and I. Steinbach", "title":"Interface stabilization and propagation in phase field models of solidification: resolving the issue of large driving forces", "journal":"Modelling and Simulation in Materials Science and Engineering", "volume":"32", "OPTnumber":"6", "OPTmonth":"9", "year":"2024", "OPTpages":"065034", "OPTnote":"", "OPTkey":"", "DOI":"10.1088/1361-651x/ad691d"}
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