A computational continuum model of poroelastic beds
arXiv:1701.03596 · doi:10.1098/rspa.2016.0932
Abstract
Despite the ubiquity of fluid flows interacting with porous and elastic materials, we lack a validated non-empirical macroscale method for characterizing the flow over and through a poroelastic medium. We propose a computational tool to describe such configurations by deriving and validating a continuum model for the poroelastic bed and its interface with the above free fluid. We show that, using stress continuity condition and slip velocity condition at the interface, the effective model captures the effects of small changes in the microstructure anisotropy correctly and predicts the overall behaviour in a physically consistent and controllable manner. Moreover, we show that the performance of the effective model is accurate by validating with fully microscopic resolved simulations. The proposed computational tool can be used in investigations in a wide range of fields, including mechanical engineering, bio-engineering and geophysics.
arXiv commentMain paper: 28 pages, 14 figures; Supplementary appendicies: 7 pages; under consideration for publication in Roy. Soc. Proc. A
References in corpus (3)
- A framework for computing effective boundary conditions at the interface between free fluid and a porous medium
- Pressure jump interface law for the Stokes-Darcy coupling: Confirmation by direct numerical simulations
- Effective pressure interface law for transport phenomena between an unconfined fluid and a porous medium using homogenization