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Computation of an expanding or shrinking interface in a Hele-Shaw cell Li, Shuwang
Description
The Hele-Shaw problem is a classical example for studying interface dynamics or systems driven out of equilibrium. In this talk, I will first discuss numerical issues related to long-time computation of moving interfaces. Then I will present a time adaptive scheme for efficiently computing the dynamics of a moving interface. The idea is to design a time-space mapping such that in the new time scale, the interfaces can evolve at arbitrarily fast or slow speed. We then show numerical examples and present largest (expanding interface) and smallest (shrinking interface) Hele-Shaw simulation up to date.
Item Metadata
Title |
Computation of an expanding or shrinking interface in a Hele-Shaw cell
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2019-05-02T15:30
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Description |
The Hele-Shaw problem is a classical example for studying interface dynamics or systems driven out of equilibrium. In this talk, I will first discuss numerical issues related to long-time computation of moving interfaces. Then I will present a time adaptive scheme for efficiently computing the dynamics of a moving interface. The idea is to design a time-space mapping such that in the new time scale, the interfaces can evolve at arbitrarily fast or slow speed. We then show numerical examples and present largest (expanding interface) and smallest (shrinking interface) Hele-Shaw simulation up to date.
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Extent |
20.0 minutes
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Subject | |
Type | |
File Format |
video/mp4
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Language |
eng
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Notes |
Author affiliation: Illinois Institute of Technology
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Series | |
Date Available |
2019-10-30
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Provider |
Vancouver : University of British Columbia Library
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Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
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DOI |
10.14288/1.0384825
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URI | |
Affiliation | |
Peer Review Status |
Unreviewed
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Scholarly Level |
Researcher
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Rights URI | |
Aggregated Source Repository |
DSpace
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Item Media
Item Citations and Data
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International