Stochastic PDAE-model and associated Monte-Carlo simulations for elastic threads in turbulent flows

Considering the motion of a long slender elastic thread in turbulent flows, a stochastic aerodynamic drag force concept was derived for a one-way coupling on top of a k-e turbulence description in Marheineke and Wegener (SIAM J. Appl. Math. 66:1703-1726, 2006). In this paper we present a generalization of this concept that allows the simulation of practically relevant fluid-solid interactions and yields very convincing results in comparison to experiments. Thereby, it reduces the complex problem to two surrogate models: a universally valid drag model for all Reynolds number regimes and incident flow directions and a turbulence correlation model.