Hierarchy of mathematical models for production processes of technical textiles

Klar A, Marheineke N, Wegener R (2009)

Publication Status: Published

Publication Type: Journal article, Original article

Publication year: 2009

Journal

ZAMM - Zeitschrift für angewandte Mathematik und Mechanik Wiley-VCH Verlag

Publisher: Wiley-VCH Verlag

Book Volume: 89

Pages Range: 941-961

Journal Issue: 12

DOI: 10.1002/zamm.200900282

Abstract

In this work we present a hierarchy 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 fiber dynamics with stochastic aerodynamic drag and further to efficiently manageable stochastic surrogate models for fiber lay-down. They are theoretically and numerically analyzed and coupled via asymptotic analysis, similarity estimates, and parameter identification. The model hierarchy is applicable to a wide range of industrially relevant production processes and enables the optimization, control, and design of technical textiles. © 2009 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.

Authors with CRIS profile

Nicole Marheineke Professur für Wissenschaftliches Rechnen

Involved external institutions

Fraunhofer-Institut für Techno- und Wirtschaftsmathematik (ITWM) / Fraunhofer Institute for Industrial Mathematics DE Germany (DE) Technische Universität Kaiserslautern DE Germany (DE)

How to cite

APA:

Klar, A., Marheineke, N., & Wegener, R. (2009). Hierarchy of mathematical models for production processes of technical textiles. ZAMM - Zeitschrift für angewandte Mathematik und Mechanik, 89(12), 941-961. https://dx.doi.org/10.1002/zamm.200900282

MLA:

Klar, Axel, Nicole Marheineke, and Raimund Wegener. "Hierarchy of mathematical models for production processes of technical textiles." ZAMM - Zeitschrift für angewandte Mathematik und Mechanik 89.12 (2009): 941-961.

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