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Virtuelle Produktion von Filamenten und Vliesstoffen

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Mathematik im Fraunhofer-Institut

Zusammenfassung

Die Virtualisierung der Produktion von Filamenten und Vliesstoffen wird am Fraunhofer ITWM seit vielen Jahren mit einem breiten Spektrum von Industriekunden voran getrieben. Eingebettet in das Themenfeld der Fluid–Struktur-Interaktion bietet dieser Anwendungsbereich vielfältige mathematische Herausforderungen, da die Komplexität der betrachteten Prozesse keine Standardsimulationen erlaubt. In mehreren Schlüsselaspekten hat das Fraunhofer ITWM eigene Modelle und Werkzeuge entwickelt, so dass heute simulationsbasierte Beiträge zur Auslegung und Steuerung der Prozesse geleistet werden können. Dabei wurden durch neue Modellierungsansätze, wie turbulente aerodynamische Widerstandsmodelle für die Filamentdynamik und stochastische Ersatzmodelle für die Vliesbildung, interessante Themenfelder für die Angewandte Mathematik angestoßen. Ausgehend von der Cosserat-Theorie gibt der vorliegende Beitrag einen geschlossenen Überblick zu Modellen, Algorithmen und Softwarebausteinen. Der erreichte Stand wird an den industriellen Anwendungen zum Spunbond-Prozess und zum Rotationsspinnen von Glaswolle demonstriert.

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Literaturverzeichnis

Publikationen der Autoren

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Danksagung

Die in diesem Beitrag gezeigten Simulationsergebnisse beruhen auf der Arbeit der in Abschn. 3 genannten Mitarbeiter der Abteilung Transportvorgänge am Fraunhofer ITWM. Ihnen gilt unser besonderer Dank. Wesentliche Arbeiten der Autoren wurden unterstützt durch die Deutsche Forschungsgemeinschaft (DFG), WE 2003/3-1, WE 2003/4-1, MA 4526/2-1 und das Bundesministerium für Bildung und Forschung (BMBF), Verbundprojekt ProFil, 05M10WEA, 05M10AMB, Verbundprojekt OPAL, 05M13WEA, 05M13AMD.

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Authors and Affiliations

  1. Fraunhofer-Institut für Techno- und Wirtschaftsmathematik, Fraunhofer-Platz 1, 67663, Kaiserslautern, Deutschland

    Raimund Wegener & Dietmar Hietel

  2. FAU Erlangen-Nürnberg, Lehrstuhl Angewandte Mathematik 1, Cauerstr. 11, 91058, Erlangen, Deutschland

    Nicole Marheineke

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  1. Raimund Wegener
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  2. Nicole Marheineke
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  3. Dietmar Hietel
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Correspondence to Raimund Wegener .

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Editors and Affiliations

  1. Techno- und Wirtschaftsmathematik (ITWM), Fraunhofer Institut für Techno- und Wirtschaftsmathematik (ITWM), Kaiserslautern, Germany

    Helmut Neunzert

  2. Techno- und Wirtschaftsmathematik (ITWM), Fraunhofer Institut für Techno- und Wirtschaftsmathematik (ITWM), Kaiserslautern, Germany

    Dieter Prätzel-Wolters

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Wegener, R., Marheineke, N., Hietel, D. (2015). Virtuelle Produktion von Filamenten und Vliesstoffen. In: Neunzert, H., Prätzel-Wolters, D. (eds) Mathematik im Fraunhofer-Institut. Springer Spektrum, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-44877-9_6

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