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A Discontinuous Galerkin Method for Transport in Fractured Media Using Unstructured Triangular Grids
| Content Provider | Semantic Scholar |
|---|---|
| Author | Eigestad, G. T. Dahle, Helge K. |
| Copyright Year | 2008 |
| Abstract | The possibility to couple discrete (fractures, shear zones) and continuous (rock matrix) model elements is a prerequisite for simulating flow and transport processes in fractured rocks. The method described in this paper uses unstructured triangular grids to explicitly represent the fractures and matrix rock as a single continuum in which one can compute the transport using a higher-order discontinuous Galerkin method. By modelling the complex fracture networks explicitly, very complex structures can be modelled and using unstructured triangular grids may be necessary to accurately model realistic cases. Herein we consider single-phase equations for advective transport, which have an inherent causality in the sense that information propagates along streamlines. Our discontinuous Galerkin discretization preserves this causality. We can therefore use a simple topological sort of the graph of discrete fluxes to reorder the degrees-of-freedom such that the discretised linear system gets a lower block-triangular form, from which the solution can be computed very efficiently using a single-pass forward block substitution. The accuracy and utility of the resulting transport solver is illustrated through several numerical experiments. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | https://www.sintef.no/globalassets/project/geoscale/papers/tof-tri.pdf |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
