Name
Abstract | ||
|---|---|---|
In this paper, we are interested in the finite volume approximation of a system 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. We focus here on the numerical approximation by discrete duality finite volume methods. After the presentation of the scheme, we establish relevant a priori estimates satisfied by the numerical solution and prove existence and uniqueness of the solution to the scheme. We show the efficiency of the schemes through numerical experiments. |
Year | DOI | Venue |
|---|---|---|
2013 | 10.1137/130910555 | SIAM JOURNAL ON SCIENTIFIC COMPUTING |
Keywords | Field | DocType |
finite volume method,porous medium,miscible fluid flows | Anisotropic diffusion,Uniqueness,Discretization,Mathematical optimization,Mathematical analysis,A priori and a posteriori,Duality (optimization),Operator (computer programming),Finite volume method,Mathematics,Finite volume method for one-dimensional steady state diffusion | Journal |
Volume | Issue | ISSN |
35 | 6 | 1064-8275 |
Citations | PageRank | References |
3 | 0.42 | 7 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| CLAIRE CHAINAIS-HILLAIRET | 1 | 27 | 6.23 |
| Stella Krell | 2 | 23 | 3.62 |
| Alexandre Mouton | 3 | 3 | 0.76 |