Asymptotically based modeling and optimization of fluid-structure interaction with periodic yarn structures

Erscheinungsjahr 2025
ISBN: 978-3-8396-2069-4
Verlag: Fraunhofer Verlag

Buch, Englisch, 195 Seiten, Format (B × H): 148 mm x 210 mm

The flow-induced displacement of thin flexural structures is commonly encountered in filtration applications. To account for the effect in mathematical modeling, arising fluid-structure interaction (FSI) models become much more demanding regarding both analysis and numerical methods compared to a rigid structure. Especially in the modeling of woven filters, the complex microstructure with thin yarns renders direct numerical approaches impractical. A FSI problem with non-stationary Stokes flow and a periodic structure, consisting of slender yarns in contact, is analyzed. A dimension reduction approach is employed, shrinking the three-dimensional microstructure to a two-dimensional, permeable Kirchhoff plate. Arising model parameters are three fourth-order stiffness tensors, attained from auxiliary mechanical problems on the filter’s periodic unit. The derived model is suited for efficient FSI simulations on the macro-scale. A complete numerical workflow is presented, comprising of a finite-element formulation for both micromechanical and macroscopic FSI simulations and an optimization framework for optimizing microscopic filter designs for a desired flow-induced filter displacement.

Autoren/Hrsg.

Krier, Maxime

Fachgebiete

• Naturwissenschaften Physik Mechanik Kontinuumsmechanik, Strömungslehre
• Technische Wissenschaften Maschinenbau | Werkstoffkunde Technische Mechanik | Werkstoffkunde Strömungslehre
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Numerische Mathematik
• Mathematik | Informatik Mathematik Mathematische Analysis Funktionalanalysis