Finite element simulation of planar instabilities during solidification of an undercooled melt
type: Item
instance of: scholarly article
title: Finite element simulation of planar instabilities during solidification of an undercooled melt
zbMATH Open document ID: 0627.65126
DOI: 10.1016/0021-9991(87)90157-4
author: John M. jun. Sullivan
author: Daniel R. Lynch
author: Kevin O'Neill
published in: Journal of Computational Physics
publication date: 1987-01-01T00:00:00Z
review text: Two-dimensional finite element solutions for planar solidification from an undercooled melt are discussed. The stability analysis of the planar front is considered for transient problems and provides an excellent basis for model testing. The inherent instabilities associated with the freezing process require a more comprehensive treatment of the interfacial temperature than that specified in Stefan-type problems. Radiation-type boundary conditions on the interface that incorporate temperature effects associated with curvature and interfacial kinetics are included. The numerical simulations of anisotropic ice show similar waveform patterns at the onset of the instability to those of isotropic cases.
Mathematics Subject Classification ID: 65Z05
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 35K05
Mathematics Subject Classification ID: 35R35
Mathematics Subject Classification ID: 80A17
zbMATH DE Number: 4020414
zbMATH Keywords: Stefan problem
zbMATH Keywords: finite element
zbMATH Keywords: planar solidification
zbMATH Keywords: undercooled melt
zbMATH Keywords: stability
zbMATH Keywords: model testing
zbMATH Keywords: freezing process
zbMATH Keywords: anisotropic ice
zbMATH Keywords: waveform patterns
zbMATH Keywords: instability
reviewed by: N. F. F. Ebecken
MaRDI profile type: Publication
full work available at URL: 0021-9991(87)90157-4
OpenAlex ID: W2022593921
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description: scientific article; zbMATH DE number 4020414