A class of fluid-structure interaction problems with analytical solutions
Une classe de problemes d'interactions fluides-structures avec des solutions analytiques
Résumé
Analytical solutions to Fluid-Structure Interaction (FSI) problems are almost absent in the literature. How- ever, they are not only essential for understanding the intricate coupling dynamics between fluids and solids, but they also serve as benchmarks for validating and analysing the convergence of numerical algorithms. In this paper, we derive two analytical and one semi-analytical solutions for three FSI problems, spanning a class of solutions by varying their geometrical and physical parameters. All solutions exhibit complex non- linear behaviours, which we validate through numerical simulations using a monolithic method. These three FSI problems are described in the cylindrical coordinates, drawing inspiration from Couette flow, with two of them featuring a moving fluid-solid interface and the third incorporating a nonlinear constitutive solid model. To the best of our knowledge, for the first time, we present FSI problems with analytical solutions that include a moving interface.
Origine | Fichiers produits par l'(les) auteur(s) |
---|