Philippe R. B. Devloo

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Motivation • Hydraulic fracturing is a method extensively used in oil industry • To enhance petroleum recovery, fractures are artificially created inside the porous media by applying hydraulic pressure produced by an injected fluid • Usually, numerical simulations use simple models (2d or pseudo3d) which are not suited for high permeability and/or low(More)
In this paper, space adaptivity is introduced to control the error in the numerical solution of hyperbolic systems of conservation laws. The reference numerical scheme is a new version of the discontinuous Galerkin method, which uses an implicit diffusive term in the direction of the streamlines, for stability purposes. The decision whether to refine or to(More)
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