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.

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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://dx.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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