| Title:
|
The generalized finite volume SUSHI scheme for the discretization of the peaceman model (English) |
| Author:
|
Mandari, Mohamed |
| Author:
|
Rhoudaf, Mohamed |
| Author:
|
Soualhi, Ouafa |
| Language:
|
English |
| Journal:
|
Applications of Mathematics |
| ISSN:
|
0862-7940 (print) |
| ISSN:
|
1572-9109 (online) |
| Volume:
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66 |
| Issue:
|
1 |
| Year:
|
2021 |
| Pages:
|
115-143 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We demonstrate some a priori estimates of a scheme using stabilization and hybrid interfaces applying to partial differential equations describing miscible displacement in porous media. This system is made of two coupled equations: an anisotropic diffusion equation on the pressure and a convection-diffusion-dispersion equation on the concentration of invading fluid. The anisotropic diffusion operators in both equations require special care while discretizing by a finite volume method SUSHI. Later, we present some numerical experiments. (English) |
| Keyword:
|
porous medium |
| Keyword:
|
nonconforming grid |
| Keyword:
|
finite volume scheme |
| Keyword:
|
a priori estimate |
| Keyword:
|
miscible fluid flow |
| MSC:
|
65M08 |
| MSC:
|
65N30 |
| MSC:
|
76M10 |
| MSC:
|
76M12 |
| MSC:
|
76R99 |
| MSC:
|
76S05 |
| idZBL:
|
07332692 |
| idMR:
|
MR4218605 |
| DOI:
|
10.21136/AM.2020.0122-19 |
| . |
| Date available:
|
2021-01-28T10:00:31Z |
| Last updated:
|
2023-03-06 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/148513 |
| . |
| Reference:
|
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