Three-dimensional anisotropic mesh adaptation for phase change problems

DOI10.1016/j.jcp.2004.06.022zbMath1061.65095OpenAlexW4255359363MaRDI QIDQ703731

Éric Chamberland, André Fortin, Youssef Belhamadia

Publication date: 11 January 2005

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2004.06.022

zbMATH Keywords

numerical resultsStefan problemFinite element methodanisotropic mesh adaptationError estimatorPhase changeSemi-phase-field formulation

Mathematics Subject Classification ID

Stefan problems, phase changes, etc. (80A22) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Initial value problems for second-order parabolic equations (35K15) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50) Finite element, Galerkin and related methods applied to problems in thermodynamics and heat transfer (80M10)

Related Items

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Uses Software

• PETSc

Cites Work

• Anisotropic mesh adaptation for the solution of the Stefan problem.
• Accounting for curved domains in mesh adaptation
• Anisotropic mesh adaptation: towards user-independent, mesh-independent and solver-independent CFD. Part I: general principles
• Anisotropic mesh adaptation: towards user-independent, mesh-independent and solver-independent CFD. Part II. Structured grids
• Anisotropic mesh adaptation: towards user-independent, mesh-independent and solver-independent CFD. Part III. Unstructured meshes
• A moving mesh finite element method for the solution of two-dimensional Stefan problems
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