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 language | English (US) |
|---|---|
| Pages (from-to) | 209-225 |
| Number of pages | 17 |
| Journal | Computing and Visualization in Science |
| Volume | 15 |
| Issue number | 4 |
| DOIs | |
| State | Published - Aug 2012 |
| Externally published | Yes |
Bibliographical note
Funding Information:versity Frankfurt, Germany). This work has been supported by the Goethe-Universität Frankfurt am Main, by the German Ministry of Economy and Technology (BMWi) via grants 02E10568 and 02E10326, as well as by the State of Hesse, Germany, via project “NuSim — Numerische Simulation auf Hochleistungsrechnern”.
Keywords
- Degenerated grid elements
- Finite volume discretization
- Fractured porous media
- Grid generation
ASJC Scopus subject areas
- Theoretical Computer Science
- Software
- Modeling and Simulation
- General Engineering
- Computer Vision and Pattern Recognition
- Computational Theory and Mathematics