Preparation of grids for simulations of groundwater flow in fractured porous media

Sebastian Reiter*, Dmitry Logashenko, Alfio Grillo, Gabriel Wittum

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

6 Scopus citations

Abstract

This work presents an extension of grid generation techniques for finite-volume discretizations of density-driven flow in fractured porous media, in which fractures are considered as low-dimensional manifolds and are resolved by sides of grid elements. The proposed technique introduces additional degrees of freedom for the unknowns assigned to the fractures and thus allows to reconstruct jumps of the solution over a fracture. Through the concept of degenerated elements, the proposed technique can be used for arbitrary junctions of fractures but is sufficiently simple regarding the implementation and allows for the application of conventional numerical solvers. Numerical experiments presented at the end of the paper demonstrate the applicability of this technique in two and three dimensions for complicated fracture networks.

Original languageEnglish (US)
Pages (from-to)209-225
Number of pages17
JournalComputing and Visualization in Science
Volume15
Issue number4
DOIs
StatePublished - Aug 2012

Keywords

  • Degenerated grid elements
  • Finite volume discretization
  • Fractured porous media
  • Grid generation

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Software
  • Modeling and Simulation
  • Engineering(all)
  • Computer Vision and Pattern Recognition
  • Computational Theory and Mathematics

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