A two-scale method for the computation of solid-liquid phase transitions with dendritic microstructure

DOI10.1006/jcph.2002.7018zbMath1045.76037OpenAlexW1981529167WikidataQ109654637 ScholiaQ109654637MaRDI QIDQ1601546

Sergey Korotov, Peter Knabner, Christof Eck

Publication date: 2002

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

Full work available at URL: https://doi.org/10.1006/jcph.2002.7018

zbMATH Keywords

homogenizationkinetic undercoolingGibbs-Thomson law

Mathematics Subject Classification ID

Stefan problems, phase changes, etc. (80A22) Multiphase and multicomponent flows (76T99) Finite difference methods applied to problems in fluid mechanics (76M20) Finite element methods applied to problems in fluid mechanics (76M10) Homogenization applied to problems in fluid mechanics (76M50)

Related Items (7)

Homogenization of a fully coupled thermoelasticity problem for a highly heterogeneous medium with a priori known phase transformations ⋮ Phase-field simulation of microstructure formation in technical castings -- a self-consistent homoenthalpic approach to the micro-macro problem ⋮ Multi-scale homogenization of moving interface problems with flux jumps: application to solidification ⋮ Homogenization of a poroelasticity model for fiber‐reinforced hydrogels ⋮ Multiscale modeling of alloy solidification using a database approach ⋮ Homogenization of a diffusion‐reaction system with surface exchange and evolving hypersurface ⋮ A sharp computational method for the simulation of the solidification of binary alloys

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