Permeability Computation on a Representative Volume Element (RVE) of Unidirectional Disordered Fiber Arrays
Year: 2016
Author: Karim Hitti, Stephanie Feghali, Marc Bernacki
Journal of Computational Mathematics, Vol. 34 (2016), Iss. 3 : pp. 223–239
Abstract
An efficient method to compute the permeability of disordered fibrous arrays is proposed. A stabilized mixed finite element method is used with an immersed domain approach to represent the porous material at its microscopic scale. Therefore, the Stokes equations are solved in the whole domain (including solid part) using a penalization method. The accuracy is controlled by refining the mesh around the fluid-solid interface defined by a level-set function. Using homogenization techniques, the permeability of an RVE is obtained. Furthermore, a new method to generate disordered fibers in function of the porosity, $Φ$, and other microstructural parameters is proposed and a study of the effect of inter-fiber spacing on $\mathcal{K}$, the permeability tensor, is performed. This task was achieved using parallel computation and over 460 simulations were carried out in two-dimensional RVEs consisting of over 555 fibers.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jcm.1511-m2014-0119
Journal of Computational Mathematics, Vol. 34 (2016), Iss. 3 : pp. 223–239
Published online: 2016-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 17
Keywords: Permeability Fibrous Media Finite Element Method Level-set.
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