# Hybrid finite volume scheme for a two-phase flow in heterogeneous porous media*

ESAIM: Proceedings (2012)

- Volume: 35, page 210-215
- ISSN: 1270-900X

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topBrenner, Konstantin. Denis Poisson, Fédération, and Trélat, E., eds. " Hybrid finite volume scheme for a two-phase flow in heterogeneous porous media*." ESAIM: Proceedings 35 (2012): 210-215. <http://eudml.org/doc/251239>.

@article{Brenner2012,

abstract = {We propose a finite volume method on general meshes for the numerical simulation of an
incompressible and immiscible two-phase flow in porous media. We consider the case that
can be written as a coupled system involving a degenerate parabolic convection-diffusion
equation for the saturation together with a uniformly elliptic equation for the global
pressure. The numerical scheme, which is implicit in time, allows computations in the case
of a heterogeneous and anisotropic permeability tensor. The convective fluxes, which are
non monotone with respect to the unknown saturation and discontinuous with respect to the
space variables, are discretized by means of a special Godunov scheme. We prove the
existence of a discrete solution which converges, along a subsequence, to a solution of
the continuous problem. We present a number of numerical results in space dimension two,
which confirm the efficiency of the numerical method.},

author = {Brenner, Konstantin},

editor = {Denis Poisson, Fédération, Trélat, E.},

journal = {ESAIM: Proceedings},

language = {eng},

month = {4},

pages = {210-215},

publisher = {EDP Sciences},

title = { Hybrid finite volume scheme for a two-phase flow in heterogeneous porous media*},

url = {http://eudml.org/doc/251239},

volume = {35},

year = {2012},

}

TY - JOUR

AU - Brenner, Konstantin

AU - Denis Poisson, Fédération

AU - Trélat, E.

TI - Hybrid finite volume scheme for a two-phase flow in heterogeneous porous media*

JO - ESAIM: Proceedings

DA - 2012/4//

PB - EDP Sciences

VL - 35

SP - 210

EP - 215

AB - We propose a finite volume method on general meshes for the numerical simulation of an
incompressible and immiscible two-phase flow in porous media. We consider the case that
can be written as a coupled system involving a degenerate parabolic convection-diffusion
equation for the saturation together with a uniformly elliptic equation for the global
pressure. The numerical scheme, which is implicit in time, allows computations in the case
of a heterogeneous and anisotropic permeability tensor. The convective fluxes, which are
non monotone with respect to the unknown saturation and discontinuous with respect to the
space variables, are discretized by means of a special Godunov scheme. We prove the
existence of a discrete solution which converges, along a subsequence, to a solution of
the continuous problem. We present a number of numerical results in space dimension two,
which confirm the efficiency of the numerical method.

LA - eng

UR - http://eudml.org/doc/251239

ER -

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