Journal
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
Volume 315, Issue -, Pages 760-779Publisher
ELSEVIER SCIENCE SA
DOI: 10.1016/j.cma.2016.11.022
Keywords
Multi-scale; Fluid mechanics; Representative volume element; Virtual power; Permeable media
Funding
- CNPq
- FAPERJ
Ask authors/readers for more resources
This work addresses the multi-scale modeling of fluid flow in highly complex media based on the concept of Representative Volume Element (RVE). The Method of Multi-scale Virtual Power developed by the authors is employed to construct a coarse scale model from standard fluid flow model at a fine-scale. Kinematic conservation principles, duality arguments and the balance of virtual power between scales are employed to set the grounds of the scale transition of physical fields. This allows to derive in a variationally consistent manner (i) the fine-scale problem to be solved at the RVE, and (ii) the homogenization formulae for coarse-scale dual quantities, namely, the force-like and stress-like fields. Examples of application of flow in permeable media are presented to show the potential of the present approach. (C) 2016 Elsevier B.V. All rights reserved.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available