Mixed mimetic spectral element method applied to Darcy’s problem

Pinto Rebelo, Pedro Pinto; Palha da Silva Clérigo, A.; Gerritsma, M.

Mixed mimetic spectral element method applied to Darcy’s problem

Conference paper (2014)

Authors

Pedro Pinto Pinto Rebelo Aerodynamics

A. Palha da Silva Clérigo Wind Energy

M. Gerritsma Aerodynamics

Research Group

Aerodynamics

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Published Date

01-01-2014

Language

English

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Research Group

Aerodynamics

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.

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