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A discontinuous Galerkin method for two-phase flow in a porous medium enforcing H(div) velocityand continuous capillary pressure
| Content Provider | Semantic Scholar |
|---|---|
| Author | Arbogast, Todd Juntunen, Mika Pool, Jamie Wheeler, Mary F. |
| Copyright Year | 2013 |
| Abstract | We consider the slightly compressible two-phase flow problem in a porous medium with capillary pressure. The problem is solved using the implicit pressure, explicit saturation (IMPES) method, and the convergence is accelerated with iterative coupling of the equations. We use discontinuous Galerkin to discretize both the pressure and saturation equations. We apply two improvements, which are projecting the flux to the mass conservative H(div)-space and penalizing the jump in capillary pressure in the saturation equation. We also discuss the need and use of slope limiters and the choice of primary variables in discretization. The methods are verified with two- and three-dimensional numerical examples. The results show that the modifications stabilize the method and improve the solution. |
| Starting Page | 1055 |
| Ending Page | 1078 |
| Page Count | 24 |
| File Format | PDF HTM / HTML |
| DOI | 10.1007/s10596-013-9374-y |
| Volume Number | 17 |
| Alternate Webpage(s) | http://users.ices.utexas.edu/~arbogast/PaperArchive/AJPW_2013.pdf |
| Alternate Webpage(s) | https://doi.org/10.1007/s10596-013-9374-y |
| Journal | Computational Geosciences |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
