BENDAHMANE, Mostafa; KHALIL, Ziad; SAAD, Mazen

doi:10.1142/S0218202513500498

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BENDAHMANE, Mostafa
Institut de Mathématiques de Bordeaux [IMB]

KHALIL, Ziad
Laboratoire de Mathématiques Jean Leray [LMJL]

SAAD, Mazen
École Centrale de Nantes [ECN]

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Article de revue

Este ítem está publicado en

Mathematical Models and Methods in Applied Sciences. 2014-01, vol. 24, n° 01, p. 145 - 185

World Scientific Publishing

Resumen en inglés

This paper deals with construction and convergence analysis of a finite volume scheme for compressible/incompressible (gas-water) flows in porous media. The convergence properties of finite volume schemes or finite element scheme are only known for incompressible fluids. We present a new result of convergence in a two or three dimensional porous medium and under the only consideration that the density of gas depends on global pressure. In comparison with incompressible fluid, compressible fluids requires more powerful techniques; especially the discrete energy estimates are not standard.< Leer menos

Palabras clave en inglés

Porous media, finite volume, compressible flow

URI

https://oskar-bordeaux.fr/handle/20.500.12278/193334

DOI

http://dx.doi.org/10.1142/S0218202513500498

Proyecto ANR

Centre de Mathématiques Henri Lebesgue : fondements, interactions, applications et Formation - ANR-11-LABX-0020

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Centros de investigación

Institut de Mathématiques de Bordeaux (IMB) - UMR 5251