Improved phase-field models of melting and dissolution in multi-component flows

Hester, Eric W.; Couston, Louis-Alexandre ORCID: https://orcid.org/0000-0002-2184-2472; Favier, Benjamin; Burns, Keaton J.; Vasil, Geoffrey M.. 2020 Improved phase-field models of melting and dissolution in multi-component flows. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 476 (2242), 20200508. https://doi.org/10.1098/rspa.2020.0508

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Abstract/Summary

We develop and analyse the first second-order phase-field model to combine melting and dissolution in multi-component flows. This provides a simple and accurate way to simulate challenging phase-change problems in existing codes. Phase-field models simplify computation by describing separate regions using a smoothed phase field. The phase field eliminates the need for complicated discretizations that track the moving phase boundary. However, standard phase-field models are only first-order accurate. They often incur an error proportional to the thickness of the diffuse interface. We eliminate this dominant error by developing a general framework for asymptotic analysis of diffuse-interface methods in arbitrary geometries. With this framework, we can consistently unify previous second-order phase-field models of melting and dissolution and the volume-penalty method for fluid–solid interaction. We finally validate second-order convergence of our model in two comprehensive benchmark problems using the open-source spectral code Dedalus.

Item Type:	Publication - Article
Digital Object Identifier (DOI):	https://doi.org/10.1098/rspa.2020.0508
ISSN:	1364-5021
Additional Keywords:	multi-component flows, phase-field model, second-order accuracy
Date made live:	18 Nov 2020 10:45 +0 (UTC)
URI:	https://nora.nerc.ac.uk/id/eprint/528972

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