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Modeling fractures as interfaces with nonmatching grids

Abstract : We consider a model for fluid flow in a porous medium with a fracture. In this model, the fracture is represented as an interface between subdomains, where specific equations have to be solved. In this article we analyse the discrete problem, assuming that the fracture mesh and the subdomain meshes are completely independent, but that the geometry of the fracture is respected. We show that despite this non-conformity, first order convergence is preserved with the lowest order Raviart-Thomas(-Nedelec) mixed finite elements. Numerical simulations confirm this result.
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Submitted on : Tuesday, February 1, 2011 - 3:11:53 PM
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  • HAL Id : inria-00561601, version 1

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Najla Frih, Vincent Martin, Jean Roberts, Ali Saada. Modeling fractures as interfaces with nonmatching grids. [Research Report] RR-7517, INRIA. 2011, pp.29. ⟨inria-00561601⟩

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