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dc.contributor.authorNordbotten, Jan Martineng
dc.date.accessioned2014-12-22T14:35:21Z
dc.date.available2014-12-22T14:35:21Z
dc.date.issued2014-08-11eng
dc.identifier.issn0029-5981en_US
dc.identifier.urihttps://hdl.handle.net/1956/9014
dc.description.abstractThe development of cell-centered finite volume discretizations for deformation is motivated by the desire for a compatible approach with the discretization of fluid flow in deformable porous media. We express the conservation of momentum in the finite volume sense, and introduce three approximations methods for the cell-face stresses. The discretization method is developed for general grids in one to three spatial dimensions, and leads to a global discrete system of equations for the displacement vector in each cell, after which the stresses are calculated based on a local expression. The method allows for anisotropic, heterogeneous and discontinuous coefficients. The novel finite volume discretization is justified through numerical validation tests, designed to investigate classical challenges in discretization of mechanical equations. In particular our examples explore the stability with respect to the Poisson ratio and spatial discontinuities in the material parameters. For applications, logically Cartesian grids are prevailing, and we also explore the performance on perturbations on such grids, as well as on unstructured grids. For reference, comparison is made in all cases with the lowest-order Lagrangian finite elements, and the finite volume methods proposed herein is comparable for approximating displacement, and is superior for approximating stresses.en_US
dc.language.isoengeng
dc.publisherWileyen_US
dc.rightsAttribution CC BYeng
dc.rights.urihttp://creativecommons.org/licenses/by/3.0/eng
dc.subjectfinite volume methodseng
dc.subjectGeomechanicseng
dc.subjectelasticityeng
dc.subjectdifferential equationseng
dc.titleCell-centered finite volume discretizations for deformable porous mediaen_US
dc.typePeer reviewed
dc.typeJournal article
dc.description.versionpublishedVersionen_US
dc.rights.holderCopyright 2014 The Authorsen_US
dc.identifier.doihttps://doi.org/10.1002/nme.4734
dc.identifier.cristin1209811
dc.source.journalInternational Journal for Numerical Methods in Engineering
dc.source.40100
dc.source.146
dc.source.pagenumber399-418


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