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

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Title: Improved phase-field models of melting and dissolution in multi-component flows.
Authors: Hester, Eric W.1 (AUTHOR) eric.hester@sydney.edu.au, Couston, Louis-Alexandre2,3 (AUTHOR), Favier, Benjamin4 (AUTHOR), Burns, Keaton J.5,6 (AUTHOR), Vasil, Geoffrey M.1 (AUTHOR)
Source: Proceedings of the Royal Society A: Mathematical, Physical & Engineering Sciences. Oct2020, Vol. 476 Issue 2242, p1-22. 22p.
Subjects: Benchmark problems (Computer science), Melting
Abstract: 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. [ABSTRACT FROM AUTHOR]
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Database: Engineering Source
Description
Abstract: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. [ABSTRACT FROM AUTHOR]
ISSN:13645021
DOI:10.1098/rspa.2020.0508