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

Robert Eymard; Cindy Guichard; Raphaèle Herbin

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique (2012)

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

Abstract

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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.

How to cite

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Eymard, Robert, Guichard, Cindy, and Herbin, Raphaèle. "Small-stencil 3D schemes for diffusive flows in porous media." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 46.2 (2012): 265-290. <http://eudml.org/doc/273188>.

@article{Eymard2012,
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 - Modélisation Mathématique et Analyse Numérique},
keywords = {porous media; diffusion operator; anisotropy; non conforming meshes},
language = {eng},
number = {2},
pages = {265-290},
publisher = {EDP-Sciences},
title = {Small-stencil 3D schemes for diffusive flows in porous media},
url = {http://eudml.org/doc/273188},
volume = {46},
year = {2012},
}

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 - Modélisation Mathématique et Analyse Numérique
PY - 2012
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
UR - http://eudml.org/doc/273188
ER -

References

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