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dc.contributor.authorBerge, Runar Lie
dc.contributor.authorBerre, Inga
dc.contributor.authorKeilegavlen, Eirik
dc.contributor.authorNordbotten, Jan Martin
dc.contributor.authorWohlmuth, Barbara
dc.PublishedBerge RL, Berre I, Keilegavlen E, Nordbotten JM, Wohlmuth B. Finite volume discretization for poroelastic media with fractures modeled by contact mechanics. International Journal for Numerical Methods in Engineering. 2020;121(4):644-663eng
dc.description.abstractA fractured poroelastic body is considered where the opening of the fractures is governed by a nonpenetration law, whereas slip is described by a Coulomb‐type friction law. This physical model results in a nonlinear variational inequality problem. The variational inequality is rewritten as a complementary function, and a semismooth Newton method is used to solve the system of equations. For the discretization, we use a hybrid scheme where the displacements are given in terms of degrees of freedom per element, and an additional Lagrange multiplier representing the traction is added on the fracture faces. The novelty of our method comes from combining the Lagrange multiplier from the hybrid scheme with a finite volume discretization of the poroelastic Biot equation, which allows us to directly impose the inequality constraints on each subface. The convergence of the method is studied for several challenging geometries in 2D and 3D, showing that the convergence rates of the finite volume scheme do not deteriorate when it is coupled to the Lagrange multipliers. Our method is especially attractive for the poroelastic problem because it allows for a straightforward coupling between the matrix deformation, contact conditions, and fluid pressure.en_US
dc.rightsAttribution CC BYeng
dc.titleFinite volume discretization for poroelastic media with fractures modeled by contact mechanicsen_US
dc.typePeer reviewed
dc.typeJournal article
dc.rights.holderCopyright 2019 The Authorsen_US
dc.source.journalInternational Journal for Numerical Methods in Engineering
dc.identifier.citationInternational Journal for Numerical Methods in Engineering. 2020, 121 (4), 644-663.

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