# Small-stencil 3D schemes for diffusive flows in porous media

Robert Eymard; Cindy Guichard; Raphaèle Herbin

ESAIM: Mathematical Modelling and Numerical Analysis (2011)

- Volume: 46, Issue: 2, page 265-290
- ISSN: 0764-583X

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topEymard, Robert, Guichard, Cindy, and Herbin, Raphaèle. "Small-stencil 3D schemes for diffusive flows in porous media." ESAIM: Mathematical Modelling and Numerical Analysis 46.2 (2011): 265-290. <http://eudml.org/doc/222130>.

@article{Eymard2011,

abstract = {
In this paper, we study some discretization schemes for diffusive flows in heterogeneous anisotropic porous media. We first introduce the notion of gradient scheme, and show that several existing schemes fall into this framework. Then, we construct two new gradient schemes which have the advantage of a small stencil. Numerical results obtained for real reservoir meshes show the efficiency of the new schemes, compared to existing ones.
},

author = {Eymard, Robert, Guichard, Cindy, Herbin, Raphaèle},

journal = {ESAIM: Mathematical Modelling and Numerical Analysis},

keywords = {Porous media; diffusion operator; anisotropy; non conforming meshes; porous media},

language = {eng},

month = {10},

number = {2},

pages = {265-290},

publisher = {EDP Sciences},

title = {Small-stencil 3D schemes for diffusive flows in porous media},

url = {http://eudml.org/doc/222130},

volume = {46},

year = {2011},

}

TY - JOUR

AU - Eymard, Robert

AU - Guichard, Cindy

AU - Herbin, Raphaèle

TI - Small-stencil 3D schemes for diffusive flows in porous media

JO - ESAIM: Mathematical Modelling and Numerical Analysis

DA - 2011/10//

PB - EDP Sciences

VL - 46

IS - 2

SP - 265

EP - 290

AB -
In this paper, we study some discretization schemes for diffusive flows in heterogeneous anisotropic porous media. We first introduce the notion of gradient scheme, and show that several existing schemes fall into this framework. Then, we construct two new gradient schemes which have the advantage of a small stencil. Numerical results obtained for real reservoir meshes show the efficiency of the new schemes, compared to existing ones.

LA - eng

KW - Porous media; diffusion operator; anisotropy; non conforming meshes; porous media

UR - http://eudml.org/doc/222130

ER -

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