Cell‐centered finite volume discretizations for deformable porous media

By Jan Martin Nordbotten. 2014

83 citations recorded by the source corpus.

The 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.

Subfields: Computational Mechanics

View Paper: https://www.semanticscholar.org/paper/efe11a84dab2e3cfb2f634ffb291be879395e5e8

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In Computational Mechanics

1. Nicola Castelletto
2. Joshua A. White
3. Hamdi A. Tchelepi
4. Knut-Andreas Lie

Citations in the corpus

• Accuracy and convergence properties of the fixed‐stress iterative solution of two‐way coupled poromechanics (2015, background): “Recent examples include investigations of cell-centered FV discretizations for poroelasticity [27] and poroelastoplasticity [28].”