<abstract xmlns="http://www.w3.org/1999/xhtml"><p>In the paper, computational homogenization approach is used for recognizing the macroscopic permeability from the microscopic representative volume element (RVE). Flow of water, at both macro and micro level, is assumed to be ruled by Darcy law. A special averaging constraint is used for numerical flow analysis in RVE, which allows to apply macroscopic pressure gradient without the necessity to use directly Dirichlet or Neumann boundary conditions. This approach allows arbitrarily shaped representative volumes and eliminates undesirable boundary effects. Generated effective permeability takes into account the structuring effects, what is an advantage over other homogenization methods, like self-consistent one.</p></abstract>

In the paper, computational homogenization approach is used for recognizing the macroscopic permeability from the microscopic representative volume element (RVE). Flow of water, at both macro and micro level, is assumed to be ruled by Darcy law. A special averaging constraint is used for numerical flow analysis in RVE, which allows to apply macroscopic pressure gradient without the necessity to use directly Dirichlet or Neumann boundary conditions. This approach allows arbitrarily shaped representative volumes and eliminates undesirable boundary effects. Generated effective permeability takes into account the structuring effects, what is an advantage over other homogenization methods, like self-consistent one.

Minimal Kinematic Boundary Conditions for Computational Homogenization of the Permeability Coefficient

Department of Civil Engineering, Architecture and Environmental Engineering, Chair of Geotechnics and Engineering Structures

Acta Mechanica et Automatica

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

In the paper, computational homogenization approach is used for recognizing the macroscopic permeability from the microscopic representative volume element...

Minimal Kinematic Boundary Conditions for Computational Homogenization of the Permeability Coefficient

Published Online: Oct 07, 2017

Page range: 199 - 203

Received: Mar 16, 2016

Accepted: Sep 18, 2017

DOI: https://doi.org/10.1515/ama-2017-0030

Keywords
Computational Homogenization, Permeability, RVE, Minimal Kinematic Boundary Conditions

© 2017 Marek Wojciechowski, published by De Gruyter Open

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Minimal Kinematic Boundary Conditions for Computational Homogenization of the Permeability Coefficient

Published Online: Oct 07, 2017

Page range: 199 - 203

Received: Mar 16, 2016

Accepted: Sep 18, 2017

DOI: https://doi.org/10.1515/ama-2017-0030

KeywordsComputational Homogenization, Permeability, RVE, Minimal Kinematic Boundary Conditions

© 2017 Marek Wojciechowski, published by De Gruyter Open

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
Computational Homogenization, Permeability, RVE, Minimal Kinematic Boundary Conditions