ArticleProceedings. Mathematical, physical, and engineering sciences2020
Improved phase-field models of melting and dissolution in multi-component flows.
Article in Proceedings. Mathematical, physical, and engineering sciences, 2020. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 2 papers.
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2 citing papers in PubMed.
- Yardangs sculpted by erosion of heterogeneous material.Proceedings of the National Academy of Sciences of the United States of America · 2024Article
- Fluid dynamics alters liquid-liquid phase separation in confined aqueous two-phase systems.Proceedings of the National Academy of Sciences of the United States of America · 2023Article
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5 authors.
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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.
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