| Title |
Asymptotically proved numerical coupling of a 2D flexural porous plate with the 3D stokes fluid / |
| Authors |
Krier, Maxime ; Orlik, Julia ; Panassenko, Grigory Petrovitch ; Steiner, Konrad |
| DOI |
10.1137/23M1627687 |
| Full Text |
|
| Is Part of |
Multiscale modeling and simulation.. Philadelphia : Society for Industrial and Applied Mathematics Publications. 2024, vol. 22, iss. 4, p. 1608-1645.. ISSN 1540-3459. eISSN 1540-3467 |
| Keywords [eng] |
2D-3D-PDE coupling ; Bogner-Fox-Schmit elements ; dimension reduction ; fluid-structure interaction ; Hermite elements ; plate homogenization |
| Abstract [eng] |
A numerical workflow for a linear multiscale fluid-structure interaction (FSI) problem between 3D Stokes flow and an effective porous, homogenized 2D plate is presented. The underlying effective FSI model is obtained from the method of two-scale convergence for thin perforated and periodic filter structures, performed in earlier works. On the micro scale, the numerical workflow comprises the computation of the filter structure's effective homogenized stiffness tensors utilizing a beam finite element formulation, as well as the computation of the permeability tensor. On the macro scale, a monolithic finite element formulation for the FSI problem with conforming elements is derived. Numerical results and sensitivity studies demonstrating the influence of design variations on the micro scale on the FSI solution are presented for woven filter structures. |
| Published |
Philadelphia : Society for Industrial and Applied Mathematics Publications |
| Type |
Journal article |
| Language |
English |
| Publication date |
2024 |
| CC license |
|
