---
_id: '2224'
abstract:
- lang: eng
text: This work investigates the transition between different traveling helical
waves (spirals, SPIs) in the setup of differentially independent rotating cylinders.
We use direct numerical simulations to consider an infinite long and periodic
Taylor-Couette apparatus with fixed axial periodicity length. We find so-called
mixed-cross-spirals (MCSs), that can be seen as nonlinear superpositions of SPIs,
to establish stable footbridges connecting SPI states. While bridging the bifurcation
branches of SPIs, the corresponding contributions within the MCS vary continuously
with the control parameters. Here discussed MCSs presenting footbridge solutions
start and end in different SPI branches. Therefore they differ significantly from
the already known MCSs that present bypass solutions (Altmeyer and Hoffmann 2010
New J. Phys. 12 113035). The latter start and end in the same SPI branch, while
they always bifurcate out of those SPI branches with the larger mode amplitude.
Meanwhile, these only appear within the coexisting region of both SPIs. In contrast,
the footbridge solutions can also bifurcate out of the minor SPI contribution.
We also find they exist in regions where only one of the SPIs contributions exists.
In addition, MCS as footbridge solution can appear either stable or unstable.
The latter detected transient solutions offer similar spatio-temporal characteristics
to the flow establishing stable footbridges. Such transition processes are interesting
for pattern-forming systems in general because they accomplish transitions between
traveling waves of different azimuthal wave numbers and have not been described
in the literature yet.
article_number: '025503'
author:
- first_name: Sebastian
full_name: Altmeyer, Sebastian
id: 2EE67FDC-F248-11E8-B48F-1D18A9856A87
last_name: Altmeyer
orcid: 0000-0001-5964-0203
citation:
ama: Altmeyer S. On secondary instabilities generating footbridges between spiral
vortex flow. Fluid Dynamics Research. 2014;46(2). doi:10.1088/0169-5983/46/2/025503
apa: Altmeyer, S. (2014). On secondary instabilities generating footbridges between
spiral vortex flow. Fluid Dynamics Research. IOP Publishing Ltd. https://doi.org/10.1088/0169-5983/46/2/025503
chicago: Altmeyer, Sebastian. “On Secondary Instabilities Generating Footbridges
between Spiral Vortex Flow.” Fluid Dynamics Research. IOP Publishing Ltd.,
2014. https://doi.org/10.1088/0169-5983/46/2/025503.
ieee: S. Altmeyer, “On secondary instabilities generating footbridges between spiral
vortex flow,” Fluid Dynamics Research, vol. 46, no. 2. IOP Publishing Ltd.,
2014.
ista: Altmeyer S. 2014. On secondary instabilities generating footbridges between
spiral vortex flow. Fluid Dynamics Research. 46(2), 025503.
mla: Altmeyer, Sebastian. “On Secondary Instabilities Generating Footbridges between
Spiral Vortex Flow.” Fluid Dynamics Research, vol. 46, no. 2, 025503, IOP
Publishing Ltd., 2014, doi:10.1088/0169-5983/46/2/025503.
short: S. Altmeyer, Fluid Dynamics Research 46 (2014).
date_created: 2018-12-11T11:56:25Z
date_published: 2014-04-01T00:00:00Z
date_updated: 2021-01-12T06:56:07Z
day: '01'
department:
- _id: BjHo
doi: 10.1088/0169-5983/46/2/025503
intvolume: ' 46'
issue: '2'
language:
- iso: eng
month: '04'
oa_version: None
publication: Fluid Dynamics Research
publication_identifier:
issn:
- '01695983'
publication_status: published
publisher: IOP Publishing Ltd.
publist_id: '4740'
quality_controlled: '1'
scopus_import: 1
status: public
title: On secondary instabilities generating footbridges between spiral vortex flow
type: journal_article
user_id: 4435EBFC-F248-11E8-B48F-1D18A9856A87
volume: 46
year: '2014'
...