A numerical study of unstable Hele-Shaw flow

Erik Bent Hansen; Henning Rasmussen

doi:10.1016/S0898-1221(99)00228-X

A numerical study of unstable Hele-Shaw flow

Erik Bent Hansen, Henning Rasmussen

Western University

Research output: Contribution to journal › Journal article › Research › peer-review

Abstract

A numerical procedure which is based on an integral equation for the normal velocity at the interface is developed for the unstable flow with surface tension in a Hele-Shaw cell. The procedure has been validated by comparing solutions obtained by it with published results. It has also been applied to a study of the effect of small changes in the initial data on the later profiles and it was found that even very small differences can lead to large differences in the profiles at later times. (C) 1999 Elsevier Science Ltd. All rights reserved.

Original language	English
Journal	Computers & Mathematics with Applications
Volume	38
Issue number	5-6
Pages (from-to)	217-230
ISSN	0898-1221
DOIs	https://doi.org/10.1016/S0898-1221(99)00228-X
Publication status	Published - 1999

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abstract = "A numerical procedure which is based on an integral equation for the normal velocity at the interface is developed for the unstable flow with surface tension in a Hele-Shaw cell. The procedure has been validated by comparing solutions obtained by it with published results. It has also been applied to a study of the effect of small changes in the initial data on the later profiles and it was found that even very small differences can lead to large differences in the profiles at later times. (C) 1999 Elsevier Science Ltd. All rights reserved. ",

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AB - A numerical procedure which is based on an integral equation for the normal velocity at the interface is developed for the unstable flow with surface tension in a Hele-Shaw cell. The procedure has been validated by comparing solutions obtained by it with published results. It has also been applied to a study of the effect of small changes in the initial data on the later profiles and it was found that even very small differences can lead to large differences in the profiles at later times. (C) 1999 Elsevier Science Ltd. All rights reserved.

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DO - 10.1016/S0898-1221(99)00228-X

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JO - Computers & Mathematics with Applications

JF - Computers & Mathematics with Applications

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A numerical study of unstable Hele-Shaw flow

Abstract

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