Mixed Methods for Two-Phase Darcy-Stokes Mixtures of Partially Melted Materials with Regions of Zero Porosity
1 hour 47 mins,
1.53 GB,
MPEG-4 Video
640x360,
29.97 fps,
44100 Hz,
1.95 Mbits/sec
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About this item
| Description: |
Arbogast, T (University of Texas at Austin)
Wednesday 8th June 2016 - 09:00 to 11:00 |
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| Created: | 2016-06-14 11:52 |
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| Collection: | Melt in the Mantle |
| Publisher: | Isaac Newton Institute |
| Copyright: | Arbogast, T |
| Language: | eng (English) |
| Distribution: |
World
(downloadable)
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| Explicit content: | No |
| Aspect Ratio: | 16:9 |
| Screencast: | No |
| Bumper: | UCS Default |
| Trailer: | UCS Default |
| Abstract: | Co-authors: Marc A. Hesse and Abraham L. Taicher
The Earth's mantle, or an ice sheet, involves a deformable solid matrix phase within which a second phase, a fluid, may form due to melting processes. The mechanics of this system is modeled as a dual-continuum, with at each point of space the solid matrix being governed by a Stokes system and the fluid melt, if it exists, being governed by a Darcy law. This system is mathematically degenerate when the porosity (volume fraction of fluid) vanishes. We develop the variational framework needed for accurate approximation of this Darcy-Stokes system, even when there are regions of positive measure where only one phase exists. We then develop an accurate mixed finite element method for solving the system and show some numerical results. |
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