Finite element simulation of planar instabilities during solidification of an undercooled melt

DOI10.1016/0021-9991(87)90157-4zbMath0627.65126OpenAlexW2022593921MaRDI QIDQ1092640

Kevin O'Neill, Daniel R. Lynch, John M. jun. Sullivan

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1016/0021-9991(87)90157-4

zbMATH Keywords

stabilityinstabilitymodel testingfinite elementStefan problemplanar solidificationanisotropic icefreezing processundercooled meltwaveform patterns

Mathematics Subject Classification ID

Heat equation (35K05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Thermodynamics of continua (80A17) Free boundary problems for PDEs (35R35) Applications to the sciences (65Z05)

Related Items

Finite element methods for unsteady solidification problems arising in prediction of morphological structure, High-order finite element methods for moving boundary problems with prescribed boundary evolution, Implementation of an X-FEM solver for the classical two-phase Stefan problem, Modeling dendritic growth of a binary alloy, Diffusional evolution of precipitates in elastic media using the extended finite element and the level set methods, Approximation to the interface velocity in phase change front tracking, Linear stability of planar solidification fronts, Crystal growth and dendritic solidification, Two-dimensional unsteady solidification problem calculated by using the boundary-fitted coordinate system, An enthalpy method for modeling dendritic growth in a binary alloy, The front-tracking ALE method: application to a model of the freezing of cell suspensions, Front-tracking finite element method for dendritic solidification, Numerical modeling of fluid-particle interactions, A boundary integral approach to unstable solidification

Cites Work

• Heat conservation in deforming element phase change simulation
• Unified approach to simulation on deforming elements with application to phase change problems
• Moving boundary-moving mesh analysis of phase change using finite elements with transfinite mappings
• Continuously deforming finite elements for the solution of parabolic problems, with and without phase change
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