Curvature and solidification
type: Item
instance of: scholarly article
title: Curvature and solidification
zbMATH Open document ID: 0555.65085
DOI: 10.1016/0021-9991(85)90191-3
published in: Journal of Computational Physics
publication date: 1985-01-01T00:00:00Z
full work available at URL: 1cw423q0
review text: A method is presented for finding the osculating circle, and thus the curvature and the normal, of a curve defined by an array of partial volumes. This method is applied, within the framework of an enthalpy formulation, to the solutions of model equations that describe the motion of a front separating ice and supercooled water. For short to moderate times the numerical results agree well with available theory; at longer times a morphological oscillation is observed. Such an oscillation was seen in earlier calculations but is not predicted by linearized stability theory. Some speculations regarding its origin are offered.
Mathematics Subject Classification ID: 65Z05
Mathematics Subject Classification ID: 65N22
Mathematics Subject Classification ID: 80A17
Mathematics Subject Classification ID: 35K05
Mathematics Subject Classification ID: 35R35
zbMATH DE Number: 3885273
zbMATH Keywords: ice-water front
zbMATH Keywords: Stefan problem
zbMATH Keywords: combustion theory
zbMATH Keywords: solidification
zbMATH Keywords: osculating circle
zbMATH Keywords: curvature
author: Alexandre J. Chorin
MaRDI profile type: Publication
OpenAlex ID: W1968617583
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description: scientific article; zbMATH DE number 3885273