Finite volume schemes for two phase flow in porous media
Eymard, Robert ; Gallouët, Thierry
HAL, hal-00003433 / Harvested from HAL
Text on HAL
The system of equations obtained from the conservation of multiphasic fluids in porous media is usually approximated by finite volume schemes in the oil reservoir simulation setting. The convergence properties of these schemes are only known in a few simplified cases. The aim of this paper is to present some new results of convergence in more complex cases. These results are based on an adaptation of the H-convergence notion to the limit of discrete approximates.
Publié le : 2004-07-05
Classification:  H-convergence,  porous media,  H-convergence.,  two-phase flow,  finite volume schemes,  AMS subject classifications: 35K65, 35K55.,  [MATH.MATH-CA]Mathematics [math]/Classical Analysis and ODEs [math.CA],  [MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA] 
@article{hal-00003433,
     author = {Eymard, Robert and Gallou\"et, Thierry},
     title = {Finite volume schemes for two phase flow in porous media},
     journal = {HAL},
     volume = {2004},
     number = {0},
     year = {2004},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00003433}
}

Eymard, Robert; Gallouët, Thierry. Finite volume schemes for two phase flow in porous media. HAL, Tome 2004 (2004) no. 0, . http://gdmltest.u-ga.fr/item/hal-00003433/