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-ε 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.
KeywordsCircular Cylinder Direct Numerical Simulation Aerodynamic Force Stochastic Partial Differential Equation Line Force
Unable to display preview. Download preview PDF.
- 1.Antman, S.S.: Nonlinear Problems of Elasticity. Springer, New York (2004)Google Scholar
- 3.Hoerner, S.F.: Fluid-dynamic drag. Practical information on aerodynamic drag and hydrodynamic resistance. Published by the author. Obtainable from ISVA (1965)Google Scholar
- 9.Zdravkovich, M.M.: Flow around circular cylinders, Vol 1: Fundamentals. Oxford University Press, New York (1997)Google Scholar