Fast Fourier Transformation method for computing the permeability of periodic porous media

Authors

  • Nguyen Trung Kien University of Transport and Communications, Hanoi
  • Nguyen Duy Hung University of Transport and Communications-Campus in Ho Chi Minh City

DOI:

https://doi.org/10.15625/0866-7136/8444

Keywords:

Porous media, permeability, homogenization, Fast Fourier Transform, viscous fluid

Abstract

A Fourier-based method is adopted to determine the permeability of periodic porous media made up of a rigid skeleton saturated by viscous fluid. The flow, induced by a prescribed macroscopic gradient of pressure, adopts the Stokes equations with incorporating a condition of adherence at the surface of the solid. The permeability is determined by solving a linear problem on a unit cell for which we determine the local velocity fields due to a prescribed gradient of pressure. The method uses the Fourier Transformation and exact expressions of the periodic Green tensor in the Fourier space. It is shown that the resolution of the problem requires an introducing of undetermined forces acting within the solid phase.

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Published

21-06-2017

How to Cite

Kien, N. T., & Hung, N. D. (2017). Fast Fourier Transformation method for computing the permeability of periodic porous media. Vietnam Journal of Mechanics, 39(2), 121–133. https://doi.org/10.15625/0866-7136/8444

Issue

Section

Research Paper