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Asymptotic and stochastic methods for fluid structure interaction and fibre dynamics

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Asymptotic and stochastic methods for fluid structure interaction and fibre dynamics

Working group: T. Götz, A. Klar, N. Marheineke, S. Martin, R. Wegener (ITWM), J. Maringer (ITWM)

Cooperations: L. Bonilla (Madrid), S. Motsch (Toulouse)

Funding: German Research Foundation (DFG), Center for Mathematical and Computational Modelling (CMCM)

This research aims at establishing hierarchies of mathematical models for the numerical simulation of the production process of technical textiles. The models range from highly complex three-dimensional fluid-solid interactions to one-dimensional fibre dynamics with stochastic aerodynamic drag and further to efficiently dealable stochastic surrogate models for fibre lay-down. They are theoretically and numerically analyzed and coupled via asymptotic analysis, similiarity estimates and parameter identification. The model hierarchy is applicable to a wide range of industrially relevant production processes and enables the optimizaion, control and design of technical textiles.