Some numerical methods for the Hele-Shaw equations
type: Item
instance of: scholarly article
title: Some numerical methods for the Hele-Shaw equations
zbMATH Open document ID: 0799.76068
author: N. Whitaker
published in: Journal of Computational Physics
publication date: 1994-11-14T00:00:00Z
review text: We implement the method of Tryggvason and Aref but use the point vortex method instead of the vortex-in-cell method. A parametric spline is used to represent the interface. We conclude that the method of Tryggvasson and Aref can provide excellent results but that the vortex-in-cell method may not be the method of choice for extreme values of the surface tension parameter. In the second method, we represent the interface with a Fourier representation. In addition, an alternative way of discretizing the boundary integral is used.
Mathematics Subject Classification ID: 76M25
Mathematics Subject Classification ID: 76D99
zbMATH DE Number: 569523
zbMATH Keywords: point vortex method
zbMATH Keywords: parametric spline
zbMATH Keywords: interface
zbMATH Keywords: surface tension parameter
zbMATH Keywords: Fourier representation
zbMATH Keywords: boundary integral
MaRDI profile type: Publication
OpenAlex ID: W1983452695
DOI: 10.1006/JCPH.1994.1046
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description: scientific article; zbMATH DE number 569523