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Stochastic PDAE-Model and Associated Monte-Carlo Simulations for Elastic Threads in Turbulent Flows

  • Nicole Marheineke
  • Raimund Wegener
Conference paper
Part of the Mathematics in Industry book series (MATHINDUSTRY, volume 17)

Abstract

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.

Keywords

Circular Cylinder Direct Numerical Simulation Aerodynamic Force Stochastic Partial Differential Equation Line Force 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  1. 1.Department MathematikFAU Erlangen-NürnbergErlangenGermany
  2. 2.Fraunhofer-Institut für Techno- und Wirtschaftsmathematik (ITWM)KaiserslauternGermany

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