Efficient simultaion of random fields for fiber-fluid interactions in isotropic turbulence

Hübsch F, Marheineke N, Wegener R (2014)

Publication Type: Book chapter / Article in edited volumes

Publication year: 2014

Publisher: Springer

Edited Volumes: Progress in Industrial Mathematics at ECMI 2012

Series: Mathematics in Industry

Book Volume: 19

Pages Range: 119-126

ISBN: 978-3-319-05364-6

DOI: 10.1007/978-3-319-05365-3_16

Abstract

In some processes for spinning synthetic fibers the filaments are exposed to highly turbulent flows to achieve a high degree of stretching. The quality of the resulting fabric is thus determined essentially by the turbulent fiber-fluid interactions. Due to the required fine resolution, direct numerical simulations fail. Therefore we model the flow fluctuations as random field in R4 on top of a k-ε turbulence description and describe the interactions in the context of slender-body theory as one-way-coupling with a corresponding stochastic aerodynamic drag force on the fibers. Hereby we exploit the special covariance structure of the random field, namely isotropy, homogeneity and decoupling of space and time. In this work we will focus on the construction and efficient simulation of the turbulent fluctuations assuming constant flow parameters and give an outlook on applications.

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)

How to cite

APA:

Hübsch, F., Marheineke, N., & Wegener, R. (2014). Efficient simultaion of random fields for fiber-fluid interactions in isotropic turbulence. In Magnus Fontes, Michael Günther, Nicole Marheineke (Eds.), Progress in Industrial Mathematics at ECMI 2012. (pp. 119-126). Springer.

MLA:

Hübsch, Florian, Nicole Marheineke, and Raimund Wegener. "Efficient simultaion of random fields for fiber-fluid interactions in isotropic turbulence." Progress in Industrial Mathematics at ECMI 2012. Ed. Magnus Fontes, Michael Günther, Nicole Marheineke, Springer, 2014. 119-126.

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