A numerical method for tracking curve networks moving with curvature motion
type: Item
instance of: scholarly article
title: A numerical method for tracking curve networks moving with curvature motion
zbMATH Open document ID: 0838.65087
author: B. Wetton
author: Lia Bronsard
published in: Journal of Computational Physics
publication date: 1996-06-09T00:00:00Z
review text: The authors present numerical simulations for the motion of phase boundaries in two-dimensional physical systems with several phases, such as grain growth in crystalline structures, lamellar eutectic growth and volume preserving mean curvature flow for binary mixtures. A finite difference method is proposed to track curves whose normal velocity is given by their curvature and which meet at different types of junctions. A linear stability analysis is presented for the scheme.
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 65M50
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 35R35
Mathematics Subject Classification ID: 35K15
Mathematics Subject Classification ID: 80A22
zbMATH DE Number: 819431
zbMATH Keywords: motion of phase boundaries
zbMATH Keywords: grain growth in crystalline structures
zbMATH Keywords: lamellar eutectic growth
zbMATH Keywords: volume preserving mean curvature flow
zbMATH Keywords: finite difference method
zbMATH Keywords: linear stability
reviewed by: K. T. S. Iyengar
MaRDI profile type: Publication
OpenAlex ID: W2062999302
DOI: 10.1006/JCPH.1995.1149
description: scientific article; zbMATH DE number 819431