2 Citations (Scopus)

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 languageEnglish
Title of host publicationBifurcation and Degradation of Geomaterials with Engineering Applications. IWBDG 2017
EditorsE. Papamichos, P. Papanastasiou, E. Pasternak, A. Dyskin
PublisherSpringer
Pages577-584
Number of pages8
ISBN (Print)9783319563961
DOIs
Publication statusPublished - 2017

Publication series

NameSpringer 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

Cite this

Dodwell, T. J., Sandhu, A., & Scheichl, R. (2017). Customized coarse models for highly heterogeneous materials. In E. Papamichos, P. Papanastasiou, E. Pasternak, & A. Dyskin (Eds.), Bifurcation and Degradation of Geomaterials with Engineering Applications. IWBDG 2017 (pp. 577-584). (Springer Series in Geomechanics and Geoengineering). Springer. https://doi.org/10.1007/978-3-319-56397-8_72