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Abstract
Using a toy model for subsurface flow in highly heterogeneous materials, we demonstrate a methodology for building customized coarse models from generalized eigenvalue problems in overlapping subdomains. We show that this methodology allows to efficiently build accurate multiscale models with very few macroscale degrees of freedom for cases where classical computational homogenization methods break down. Such methods show great potential for modelling highly heterogeneous materials with properties that vary on small length scales. Such problems are typical in many engineering applications, for example subsurface flow or composite materials.
Original language | English |
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Title of host publication | Bifurcation and Degradation of Geomaterials with Engineering Applications. IWBDG 2017 |
Editors | E. Papamichos, P. Papanastasiou, E. Pasternak, A. Dyskin |
Publisher | Springer |
Pages | 577-584 |
Number of pages | 8 |
ISBN (Print) | 9783319563961 |
DOIs | |
Publication status | Published - 2017 |
Publication series
Name | Springer Series in Geomechanics and Geoengineering |
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Keywords
- Eigenvalue problems
- Generalized multiscale finite elements
- Porous media
- Upscaling
ASJC Scopus subject areas
- Geotechnical Engineering and Engineering Geology
- Mechanics of Materials
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Dive into the research topics of 'Customized coarse models for highly heterogeneous materials'. Together they form a unique fingerprint.Projects
- 1 Finished
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Multiscale Modelling of Aerospace Composites
Butler, R. (PI) & Scheichl, R. (CoI)
Engineering and Physical Sciences Research Council
6/01/14 → 5/02/18
Project: Research council