Numerical simulation of polyhedral crystal growth based on a mathematical model arising from nonlocal thermomechanics
type: Item
instance of: scholarly article
title: Numerical simulation of polyhedral crystal growth based on a mathematical model arising from nonlocal thermomechanics
zbMATH Open document ID: 0879.35165
author: Pasqua D'Ambra
published in: Continuum Mechanics and Thermodynamics
publication date: 1998-01-18T00:00:00Z
review text: A one-phase generalized Stefan problem is currently in use to describe the evolution of polyhedral crystals from germs to large crystals. In the paper, one develops an algorithm and the related software for the numerical simulation of polyhedral crystal growth based on this model and on spiral growth hypothesis, for which the growth is produced by birth of spirals on crystals faces. A front fixing formulation of the model is given, which is based on the interchange variable method; also referred to as isotherm migration method. The numerical method uses finite differences and a geometrical procedure for the construction of complex surface-crystal configuration.
Mathematics Subject Classification ID: 35R35
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 80A25
Mathematics Subject Classification ID: 82D25
zbMATH DE Number: 1034152
zbMATH Keywords: Stefan problem
zbMATH Keywords: crystal growth
zbMATH Keywords: isotherm migration method
zbMATH Keywords: algorithm
zbMATH Keywords: software
reviewed by: Guy Jumarie
MaRDI profile type: Publication
full work available at URL: s001610050058
OpenAlex ID: W2103543907
DOI: 10.1007/S001610050058
description: scientific article; zbMATH DE number 1034152