On a numerical model for diffusion-controlled growth and dissolution of spherical precipitates
type: Item
instance of: scholarly article
title: On a numerical model for diffusion-controlled growth and dissolution of spherical precipitates
zbMATH Open document ID: 0915.35108
DOI: 10.1155/S1024123X98000751
published in: Mathematical Problems in Engineering
publication date: 1999-07-07T00:00:00Z
full work available at URL: https://eudml.org/doc/48165
review text: Summary: This paper deals with a numerical model for the kinetics of some diffusion-limited phase transformations. The governing equations are the diffusion equation (second Fick's law) for the concentration of dissolved element in the matrix, with a known value at the precipitate-matrix interface, and the flux balance (first Fick's law) at this interface. The numerical method, outlined for this free boundary value problem, is based upon a fixed domain transformation and a suitably adapted nonconforming finite element technique for the space discretization. The algorithm can be implemented on a PC. By numerous experiments the method is shown to give accurate numerical results.
Mathematics Subject Classification ID: 35Q80
Mathematics Subject Classification ID: 35R35
Mathematics Subject Classification ID: 65N30
zbMATH DE Number: 1233934
zbMATH Keywords: spherical precipitates
zbMATH Keywords: moving boundaries
zbMATH Keywords: finite elements
zbMATH Keywords: kinetics of some diffusion-limited phase transformations
author: Roger Van Keer
author: Jozef Kacur
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1233934