A hybrid method for moving interface problems with application to the Hele-Shaw flow
type: Item
instance of: scholarly article
title: A hybrid method for moving interface problems with application to the Hele-Shaw flow
zbMATH Open document ID: 0888.76067
author: Zhilin Li
author: Thomas Y. Hou
author: Stanley Osher
author: Hongkai Zhao
published in: Journal of Computational Physics
publication date: 1998-06-04T00:00:00Z
review text: A hybrid approach which combines the immersed interface method with the level set approach is presented. The fast version of the immersed interface method is used to solve the differential equations whose solutions and their derivatives may be discontinuous across the interfaces due to the discontinuity of the coefficients or/and singular sources along the interfaces. The moving interfaces then are updated using the newly developed fast level set formulation which involves computation only inside some small tubes containing the interfaces. This approach is then applied to Hele-Shaw flow, an unstable flow involving two fluids with very different viscosities.
Mathematics Subject Classification ID: 76M25
Mathematics Subject Classification ID: 76D99
zbMATH DE Number: 1067822
zbMATH Keywords: immersed interface method
zbMATH Keywords: level set approach
zbMATH Keywords: two fluids with very different viscosities
MaRDI profile type: Publication
full work available at URL: jcph.1997.5689
OpenAlex ID: W2123584617
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DOI: 10.1006/JCPH.1997.5689
description: scientific article; zbMATH DE number 1067822