Finite volume approach for the instationary Cosserat rod model describing the spinning of viscous jets
Arne W, Marheineke N, Meister A, Schiessl S, Wegener R (2015)
Publication Status: Published
Publication Type: Journal article, Original article
Publication year: 2015
Journal
Book Volume: 294
Pages Range: 20-37
DOI: 10.1016/j.jcp.2015.03.042
Abstract
The spinning of slender viscous jets can be asymptotically described by one-dimensional models that consist of systems of partial and ordinary differential equations. Whereas well-established string models only possess solutions for certain choices of parameters and configurations, the more sophisticated rod model is not limited by restrictions. It can be considered as an ε-regularized string model, but containing the slenderness ratio ε in the equations complicates its numerical treatment. We develop numerical schemes for fixed or enlarging (time-dependent) domains, using a finite volume approach in space with mixed central, up- and down-winded differences and stiffly accurate Radau methods for the time integration. For the first time, results of instationary simulations for a fixed or growing jet in a rotational spinning process are presented for arbitrary parameter ranges.
Authors with CRIS profile
Involved external institutions
Fraunhofer-Institut für Techno- und Wirtschaftsmathematik (ITWM) / Fraunhofer Institute for Industrial Mathematics
Germany (DE)
Universität Kassel
Germany (DE)
Germany (DE)
Universität Kassel
Germany (DE)
How to cite
APA:
Arne, W., Marheineke, N., Meister, A., Schiessl, S., & Wegener, R. (2015). Finite volume approach for the instationary Cosserat rod model describing the spinning of viscous jets. Journal of Computational Physics, 294, 20-37. https://doi.org/10.1016/j.jcp.2015.03.042
MLA:
Arne, Walter, et al. "Finite volume approach for the instationary Cosserat rod model describing the spinning of viscous jets." Journal of Computational Physics 294 (2015): 20-37.
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