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

Abstract : In this paper, we study some discretization schemes for diffusing flows in heterogeneous anisotropic porous media. We first introduce the notion of gradient scheme, and show that several existing schemes fall in 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.
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Submitted on : Thursday, December 16, 2010 - 10:44:04 PM
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Robert Eymard, Cindy Guichard, Raphaele Herbin. Small-stencil 3D schemes for diffusive flows in porous media. ESAIM: Mathematical Modelling and Numerical Analysis, EDP Sciences, 2012, 46, pp.265-290. ⟨10.1051/m2an/2011040⟩. ⟨hal-00542667v2⟩

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