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Article Dans Une Revue Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences Année : 2020

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

Eric W Hester
  • Fonction : Auteur
Louis-Alexandre Couston
Keaton J Burns
  • Fonction : Auteur
Geoffrey M Vasil
  • Fonction : Auteur

Résumé

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 discretisations 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.
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Dates et versions

hal-02990192 , version 1 (05-11-2020)

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Benjamin Favier, Eric W Hester, Louis-Alexandre Couston, Keaton J Burns, Geoffrey M Vasil. Improved phase-field models of melting and dissolution in multi-component flows. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2020, 476 (2242), pp.20200508. ⟨10.1098/rspa.2020.0508⟩. ⟨hal-02990192⟩
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