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An Adaptive MFD Method for the Obstacle Problem Read chapter Read first chapter

2013 | OriginalPaper | Chapter

A Reduced Model for Flow and Transport in Fractured Porous Media with Non-matching Grids

Authors : A. Fumagalli, A. Scotti

Published in: Numerical Mathematics and Advanced Applications 2011

Publisher: Springer Berlin Heidelberg

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Abstract

In this work we focus on a model reduction approach for the treatment of fractures in a porous medium, represented as interfaces embedded in a n-dimensional domain, in the form of a (n − 1)-dimensional manifold, to describe fluid flow and transport in both domains. We employ a method that allows for non-matching grids, thus very advantageous if the position of the fractures is uncertain and multiple simulations are required. To this purpose we adopt an extended finite element approach, XFEM, to represent discontinuities of the variables at the interfaces, which can arbitrarily cut the elements of the grid. The method is applied to the solution of the Darcy and advection-diffusion problems in porous media.

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previous chapter Numerical Simulation of a Rising Bubble in Viscoelastic Fluids
next chapter Higher Order Galerkin Time Discretization for Nonstationary Incompressible Flow
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Metadata
Title
A Reduced Model for Flow and Transport in Fractured Porous Media with Non-matching Grids
Authors
A. Fumagalli
A. Scotti
Copyright Year
2013
Publisher
Springer Berlin Heidelberg
Book
Numerical Mathematics and Advanced Applications 2011

Print ISBN: 978-3-642-33133-6

Electronic ISBN: 978-3-642-33134-3

Copyright Year: 2013

DOI
https://doi.org/10.1007/978-3-642-33134-3_53

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