Numerical calculation of permeability of periodic porous materials: application to periodic arrays of spheres and 3D scaffold microstructures

Daish, C, Blanchard, R, Pirogova, E, Harvie, D and Pivonka, P 2019, 'Numerical calculation of permeability of periodic porous materials: application to periodic arrays of spheres and 3D scaffold microstructures', International Journal for Numerical Methods in Engineering, vol. 118, no. 13, pp. 783-803.


Document type: Journal Article
Collection: Journal Articles

Title Numerical calculation of permeability of periodic porous materials: application to periodic arrays of spheres and 3D scaffold microstructures
Author(s) Daish, C
Blanchard, R
Pirogova, E
Harvie, D
Pivonka, P
Year 2019
Journal name International Journal for Numerical Methods in Engineering
Volume number 118
Issue number 13
Start page 783
End page 803
Total pages 21
Publisher John Wiley & Sons Ltd.
Abstract In this paper, an efficient numerical method is proposed to calculate the anisotropic permeability in porous materials characterized by a periodic microstructure. This method is based on pore‐scale fluid dynamic simulations using a static volume of fluid method. Unlike standard solution procedures for this type of problem, we here solve an average constitutive equation over both fluid and solid domain by use of a subgrid model to accurately capture momentum transfer from the fluid to solid interface regions. Using numerical simulations on periodic arrays of spheres, we first demonstrate that, by using the subgrid interface model, more accurate results can be produced, for the velocity and pressure fields, than via more conventional approaches. We then apply numerical upscaling over the unit cell to calculate the full anisotropic permeability from the pore‐scale numerical results. The obtained permeability values for a variety of periodic arrays of spheres in different arrangements and packing orders are in good agreement with semianalytical results reported in literature. This validation allows for the permeability assessment of more complex structures such as isotropic gyroid structures, or anisotropic cases, here modeled in their simplest form, the ellipsoidal inclusion.
Subject Biomaterials
Computational Fluid Dynamics
Biomechanical Engineering
Keyword(s) Anisotropic permeability
Fluid dynamics
Gyroid structure
Pore-scale
Spherical inclusions
Volume of fluid method
DOI - identifier 10.1002/nme.6037
Copyright notice © 2019 John Wiley & Sons, Ltd.
ISSN 1097-0207
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