Mixed mimetic spectral element method applied to Darcy’s problem

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Mixed mimetic spectral element method applied to Darcy’s problem

Conference Paper (2014)

Author(s)

Pedro Pinto Rebelo (TU Delft - Aerospace Engineering)

Artur Palha (TU Delft - Aerospace Engineering)

Marc Gerritsma (TU Delft - Aerospace Engineering)

Research Group

Aerodynamics

DOI related publication

https://doi.org/10.1007/978-3-319-01601-6 Final published version

To reference this document use

https://resolver.tudelft.nl/uuid:158759da-cc2d-4fe4-a1af-3a2b4da6af74

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Publication Year

2014

Language

English

Research Group

Aerodynamics

Pages (from-to)

373-382

Publisher

Springer

ISBN (electronic)

9783319016009

Event

9th International Conference on Spectral and High Order Methods, ICOSAHOM 2012 (2012-06-25 - 2012-06-29), Gammarth, Tunisia

Downloads counter

133

Abstract

We present a discretization for Darcy’s problem using the recently developed Mimetic Spectral Element Method (Kreeft et al. (2011) Mimetic framework on curvilinear quadrilaterals of arbitrary order. Submitted to FoCM, Arxiv preprint arXiv:1111.4304). The gist lies in the exact discrete representation of integral relations. In this paper, an anisotropic flow through a porous medium is considered and a discretization of a full permeability tensor is presented. The performance of the method is evaluated on standard test problems, converging at the same rate as the best possible approximation.