---
_id: '14754'
abstract:
- lang: eng
text: The large-scale laminar/turbulent spiral patterns that appear in the linearly
unstable regime of counter-rotating Taylor–Couette flow are investigated from
a statistical perspective by means of direct numerical simulation. Unlike the
vast majority of previous numerical studies, we analyse the flow in periodic parallelogram-annular
domains, following a coordinate change that aligns one of the parallelogram sides
with the spiral pattern. The domain size, shape and spatial resolution have been
varied and the results compared with those in a sufficiently large computational
orthogonal domain with natural axial and azimuthal periodicity. We find that a
minimal parallelogram of the right tilt significantly reduces the computational
cost without notably compromising the statistical properties of the supercritical
turbulent spiral. Its mean structure, obtained from extremely long time integrations
in a co-rotating reference frame using the method of slices, bears remarkable
similarity with the turbulent stripes observed in plane Couette flow, the centrifugal
instability playing only a secondary role.
acknowledgement: K.D.’s research was supported by Australian Research Council Discovery
Early Career Researcher Award (DE170100171). B.W., R.A., F.M. and A.M. research
was supported by the Spanish Ministerio de Economía y Competitividad (grant nos.
FIS2016-77849-R and FIS2017-85794-P) and Ministerio de Ciencia e Innovación (grant
no. PID2020-114043GB-I00) and the Generalitat de Catalunya (grant no. 2017-SGR-785).
B.W.’s research was also supported by the Chinese Scholarship Council (grant CSC
no. 201806440152). F.M. is a Serra-Húnter Fellow.
article_number: '0112'
article_processing_charge: No
article_type: original
author:
- first_name: B.
full_name: Wang, B.
last_name: Wang
- first_name: F.
full_name: Mellibovsky, F.
last_name: Mellibovsky
- first_name: Roger
full_name: Ayats López, Roger
id: ab77522d-073b-11ed-8aff-e71b39258362
last_name: Ayats López
orcid: 0000-0001-6572-0621
- first_name: K.
full_name: Deguchi, K.
last_name: Deguchi
- first_name: A.
full_name: Meseguer, A.
last_name: Meseguer
citation:
ama: Wang B, Mellibovsky F, Ayats López R, Deguchi K, Meseguer A. Mean structure
of the supercritical turbulent spiral in Taylor–Couette flow. Philosophical
Transactions of the Royal Society A. 2023;381(2246). doi:10.1098/rsta.2022.0112
apa: Wang, B., Mellibovsky, F., Ayats López, R., Deguchi, K., & Meseguer, A.
(2023). Mean structure of the supercritical turbulent spiral in Taylor–Couette
flow. Philosophical Transactions of the Royal Society A. The Royal Society.
https://doi.org/10.1098/rsta.2022.0112
chicago: Wang, B., F. Mellibovsky, Roger Ayats López, K. Deguchi, and A. Meseguer.
“Mean Structure of the Supercritical Turbulent Spiral in Taylor–Couette Flow.”
Philosophical Transactions of the Royal Society A. The Royal Society, 2023.
https://doi.org/10.1098/rsta.2022.0112.
ieee: B. Wang, F. Mellibovsky, R. Ayats López, K. Deguchi, and A. Meseguer, “Mean
structure of the supercritical turbulent spiral in Taylor–Couette flow,” Philosophical
Transactions of the Royal Society A, vol. 381, no. 2246. The Royal Society,
2023.
ista: Wang B, Mellibovsky F, Ayats López R, Deguchi K, Meseguer A. 2023. Mean structure
of the supercritical turbulent spiral in Taylor–Couette flow. Philosophical Transactions
of the Royal Society A. 381(2246), 0112.
mla: Wang, B., et al. “Mean Structure of the Supercritical Turbulent Spiral in Taylor–Couette
Flow.” Philosophical Transactions of the Royal Society A, vol. 381, no.
2246, 0112, The Royal Society, 2023, doi:10.1098/rsta.2022.0112.
short: B. Wang, F. Mellibovsky, R. Ayats López, K. Deguchi, A. Meseguer, Philosophical
Transactions of the Royal Society A 381 (2023).
date_created: 2024-01-08T13:11:45Z
date_published: 2023-05-01T00:00:00Z
date_updated: 2024-01-09T09:15:29Z
day: '01'
ddc:
- '530'
department:
- _id: BjHo
doi: 10.1098/rsta.2022.0112
external_id:
pmid:
- '36907214'
file:
- access_level: open_access
checksum: 1978d126c0ce2f47c22ac20107cc0106
content_type: application/pdf
creator: dernst
date_created: 2024-01-09T09:13:53Z
date_updated: 2024-01-09T09:13:53Z
file_id: '14763'
file_name: 2023_PhilTransactionsA_Wang_accepted.pdf
file_size: 6421086
relation: main_file
success: 1
file_date_updated: 2024-01-09T09:13:53Z
has_accepted_license: '1'
intvolume: ' 381'
issue: '2246'
keyword:
- General Physics and Astronomy
- General Engineering
- General Mathematics
language:
- iso: eng
license: https://creativecommons.org/licenses/by/4.0/
month: '05'
oa: 1
oa_version: Submitted Version
pmid: 1
publication: Philosophical Transactions of the Royal Society A
publication_identifier:
eissn:
- 1471-2962
issn:
- 1364-503X
publication_status: published
publisher: The Royal Society
quality_controlled: '1'
scopus_import: '1'
status: public
title: Mean structure of the supercritical turbulent spiral in Taylor–Couette flow
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 381
year: '2023'
...
---
_id: '12137'
abstract:
- lang: eng
text: We investigate the local self-sustained process underlying spiral turbulence
in counter-rotating Taylor–Couette flow using a periodic annular domain, shaped
as a parallelogram, two of whose sides are aligned with the cylindrical helix
described by the spiral pattern. The primary focus of the study is placed on the
emergence of drifting–rotating waves (DRW) that capture, in a relatively small
domain, the main features of coherent structures typically observed in developed
turbulence. The transitional dynamics of the subcritical region, far below the
first instability of the laminar circular Couette flow, is determined by the upper
and lower branches of DRW solutions originated at saddle-node bifurcations. The
mechanism whereby these solutions self-sustain, and the chaotic dynamics they
induce, are conspicuously reminiscent of other subcritical shear flows. Remarkably,
the flow properties of DRW persist even as the Reynolds number is increased beyond
the linear stability threshold of the base flow. Simulations in a narrow parallelogram
domain stretched in the azimuthal direction to revolve around the apparatus a
full turn confirm that self-sustained vortices eventually concentrate into a localised
pattern. The resulting statistical steady state satisfactorily reproduces qualitatively,
and to a certain degree also quantitatively, the topology and properties of spiral
turbulence as calculated in a large periodic domain of sufficient aspect ratio
that is representative of the real system.
acknowledgement: "K.D.’s research was supported by an Australian Research Council
Discovery Early Career\r\nResearcher Award (DE170100171). B.W., R.A., F.M. and A.M.
research was supported by the Spanish Ministerio de Economía y Competitivdad (grant
numbers FIS2016-77849-R and FIS2017-85794-P) and Ministerio de Ciencia e Innovación
(grant number PID2020-114043GB-I00) and the Generalitat de Catalunya (grant 2017-SGR-785).
B.W.’s research was also supported by the Chinese Scholarship Council (grant CSC
no. 201806440152)."
article_number: A21
article_processing_charge: No
article_type: original
author:
- first_name: B.
full_name: Wang, B.
last_name: Wang
- first_name: Roger
full_name: Ayats López, Roger
id: ab77522d-073b-11ed-8aff-e71b39258362
last_name: Ayats López
orcid: 0000-0001-6572-0621
- first_name: K.
full_name: Deguchi, K.
last_name: Deguchi
- first_name: F.
full_name: Mellibovsky, F.
last_name: Mellibovsky
- first_name: A.
full_name: Meseguer, A.
last_name: Meseguer
citation:
ama: Wang B, Ayats López R, Deguchi K, Mellibovsky F, Meseguer A. Self-sustainment
of coherent structures in counter-rotating Taylor–Couette flow. Journal of
Fluid Mechanics. 2022;951. doi:10.1017/jfm.2022.828
apa: Wang, B., Ayats López, R., Deguchi, K., Mellibovsky, F., & Meseguer, A.
(2022). Self-sustainment of coherent structures in counter-rotating Taylor–Couette
flow. Journal of Fluid Mechanics. Cambridge University Press. https://doi.org/10.1017/jfm.2022.828
chicago: Wang, B., Roger Ayats López, K. Deguchi, F. Mellibovsky, and A. Meseguer.
“Self-Sustainment of Coherent Structures in Counter-Rotating Taylor–Couette Flow.”
Journal of Fluid Mechanics. Cambridge University Press, 2022. https://doi.org/10.1017/jfm.2022.828.
ieee: B. Wang, R. Ayats López, K. Deguchi, F. Mellibovsky, and A. Meseguer, “Self-sustainment
of coherent structures in counter-rotating Taylor–Couette flow,” Journal of
Fluid Mechanics, vol. 951. Cambridge University Press, 2022.
ista: Wang B, Ayats López R, Deguchi K, Mellibovsky F, Meseguer A. 2022. Self-sustainment
of coherent structures in counter-rotating Taylor–Couette flow. Journal of Fluid
Mechanics. 951, A21.
mla: Wang, B., et al. “Self-Sustainment of Coherent Structures in Counter-Rotating
Taylor–Couette Flow.” Journal of Fluid Mechanics, vol. 951, A21, Cambridge
University Press, 2022, doi:10.1017/jfm.2022.828.
short: B. Wang, R. Ayats López, K. Deguchi, F. Mellibovsky, A. Meseguer, Journal
of Fluid Mechanics 951 (2022).
date_created: 2023-01-12T12:04:17Z
date_published: 2022-11-07T00:00:00Z
date_updated: 2023-08-04T08:54:16Z
day: '07'
department:
- _id: BjHo
doi: 10.1017/jfm.2022.828
external_id:
arxiv:
- '2207.12990'
isi:
- '000879446900001'
intvolume: ' 951'
isi: 1
keyword:
- Mechanical Engineering
- Mechanics of Materials
- Condensed Matter Physics
- Applied Mathematics
language:
- iso: eng
main_file_link:
- open_access: '1'
url: ' https://doi.org/10.48550/arXiv.2207.12990'
month: '11'
oa: 1
oa_version: Preprint
publication: Journal of Fluid Mechanics
publication_identifier:
eissn:
- 1469-7645
issn:
- 0022-1120
publication_status: published
publisher: Cambridge University Press
quality_controlled: '1'
scopus_import: '1'
status: public
title: Self-sustainment of coherent structures in counter-rotating Taylor–Couette
flow
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 951
year: '2022'
...
---
_id: '12146'
abstract:
- lang: eng
text: 'In this paper, we explore the stability and dynamical relevance of a wide
variety of steady, time-periodic, quasiperiodic, and chaotic flows arising between
orthogonally stretching parallel plates. We first explore the stability of all
the steady flow solution families formerly identified by Ayats et al. [“Flows
between orthogonally stretching parallel plates,” Phys. Fluids 33, 024103 (2021)],
concluding that only the one that originates from the Stokesian approximation
is actually stable. When both plates are shrinking at identical or nearly the
same deceleration rates, this Stokesian flow exhibits a Hopf bifurcation that
leads to stable time-periodic regimes. The resulting time-periodic orbits or flows
are tracked for different Reynolds numbers and stretching rates while monitoring
their Floquet exponents to identify secondary instabilities. It is found that
these time-periodic flows also exhibit Neimark–Sacker bifurcations, generating
stable quasiperiodic flows (tori) that may sometimes give rise to chaotic dynamics
through a Ruelle–Takens–Newhouse scenario. However, chaotic dynamics is unusually
observed, as the quasiperiodic flows generally become phase-locked through a resonance
mechanism before a strange attractor may arise, thus restoring the time-periodicity
of the flow. In this work, we have identified and tracked four different resonance
regions, also known as Arnold tongues or horns. In particular, the 1 : 4 strong
resonance region is explored in great detail, where the identified scenarios are
in very good agreement with normal form theory. '
acknowledgement: "This work was supported by the Spanish MINECO under Grant Nos. FIS2017-85794-P
and PRX18/00179, the Spanish MICINN through Grant No. PID2020-114043GB-I00, and
the\r\nGeneralitat de Catalunya under Grant No. 2017-SGR-785. B.W.’s research was
also supported by the Chinese Scholarship Council through Grant CSC No. 201806440152."
article_number: '114111'
article_processing_charge: No
article_type: original
author:
- first_name: B.
full_name: Wang, B.
last_name: Wang
- first_name: Roger
full_name: Ayats López, Roger
id: ab77522d-073b-11ed-8aff-e71b39258362
last_name: Ayats López
orcid: 0000-0001-6572-0621
- first_name: A.
full_name: Meseguer, A.
last_name: Meseguer
- first_name: F.
full_name: Marques, F.
last_name: Marques
citation:
ama: Wang B, Ayats López R, Meseguer A, Marques F. Phase-locking flows between orthogonally
stretching parallel plates. Physics of Fluids. 2022;34(11). doi:10.1063/5.0124152
apa: Wang, B., Ayats López, R., Meseguer, A., & Marques, F. (2022). Phase-locking
flows between orthogonally stretching parallel plates. Physics of Fluids.
AIP Publishing. https://doi.org/10.1063/5.0124152
chicago: Wang, B., Roger Ayats López, A. Meseguer, and F. Marques. “Phase-Locking
Flows between Orthogonally Stretching Parallel Plates.” Physics of Fluids.
AIP Publishing, 2022. https://doi.org/10.1063/5.0124152.
ieee: B. Wang, R. Ayats López, A. Meseguer, and F. Marques, “Phase-locking flows
between orthogonally stretching parallel plates,” Physics of Fluids, vol.
34, no. 11. AIP Publishing, 2022.
ista: Wang B, Ayats López R, Meseguer A, Marques F. 2022. Phase-locking flows between
orthogonally stretching parallel plates. Physics of Fluids. 34(11), 114111.
mla: Wang, B., et al. “Phase-Locking Flows between Orthogonally Stretching Parallel
Plates.” Physics of Fluids, vol. 34, no. 11, 114111, AIP Publishing, 2022,
doi:10.1063/5.0124152.
short: B. Wang, R. Ayats López, A. Meseguer, F. Marques, Physics of Fluids 34 (2022).
date_created: 2023-01-12T12:06:58Z
date_published: 2022-11-04T00:00:00Z
date_updated: 2023-10-03T11:07:58Z
day: '04'
department:
- _id: BjHo
doi: 10.1063/5.0124152
external_id:
isi:
- '000880665300024'
intvolume: ' 34'
isi: 1
issue: '11'
keyword:
- Condensed Matter Physics
- Fluid Flow and Transfer Processes
- Mechanics of Materials
- Computational Mechanics
- Mechanical Engineering
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://upcommons.upc.edu/handle/2117/385635
month: '11'
oa: 1
oa_version: Submitted Version
publication: Physics of Fluids
publication_identifier:
eissn:
- 1089-7666
issn:
- 1070-6631
publication_status: published
publisher: AIP Publishing
quality_controlled: '1'
scopus_import: '1'
status: public
title: Phase-locking flows between orthogonally stretching parallel plates
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 34
year: '2022'
...