TY - RPRT
A1 - Iliev, O.
A1 - Mikelic, A.
A1 - Popov, P.
T1 - Fluid structure interaction problems in deformable porous media: Toward permeability of deformable porous media
N2 - In this work the problem of fluid flow in deformable porous media is studied. First, the stationary fluid-structure interaction (FSI) problem is formulated in terms of incompressible Newtonian fluid and a linearized elastic solid. The flow is assumed to be characterized by very low Reynolds number and is described by the Stokes equations. The strains in the solid are small allowing for the solid to be described by the Lame equations, but no restrictions are applied on the magnitude of the displacements leading to strongly coupled, nonlinear fluid-structure problem. The FSI problem is then solved numerically by an iterative procedure which solves sequentially fluid and solid subproblems. Each of the two subproblems is discretized by finite elements and the fluid-structure coupling is reduced to an interface boundary condition. Several numerical examples are presented and the results from the numerical computations are used to perform permeability computations for different geometries.
T3 - Berichte des Fraunhofer-Instituts für Techno- und Wirtschaftsmathematik (ITWM Report) - 65
KW - fluid-structure interaction
KW - deformable porous media
KW - upscaling
KW - linear elasticity
KW - stokes
KW - finite elements
Y1 - 2004
UR - https://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/1578
UR - https://nbn-resolving.org/urn:nbn:de:hbz:386-kluedo-13493
ER -