---
_id: '662'
abstract:
- lang: eng
text: 'We report a direct-numerical-simulation study of the Taylor-Couette flow
in the quasi-Keplerian regime at shear Reynolds numbers up to (105). Quasi-Keplerian
rotating flow has been investigated for decades as a simplified model system to
study the origin of turbulence in accretion disks that is not fully understood.
The flow in this study is axially periodic and thus the experimental end-wall
effects on the stability of the flow are avoided. Using optimal linear perturbations
as initial conditions, our simulations find no sustained turbulence: the strong
initial perturbations distort the velocity profile and trigger turbulence that
eventually decays.'
article_number: '044107'
article_processing_charge: No
arxiv: 1
author:
- first_name: Liang
full_name: Shi, Liang
last_name: Shi
- first_name: Björn
full_name: Hof, Björn
id: 3A374330-F248-11E8-B48F-1D18A9856A87
last_name: Hof
orcid: 0000-0003-2057-2754
- first_name: Markus
full_name: Rampp, Markus
last_name: Rampp
- first_name: Marc
full_name: Avila, Marc
last_name: Avila
citation:
ama: Shi L, Hof B, Rampp M, Avila M. Hydrodynamic turbulence in quasi Keplerian
rotating flows. Physics of Fluids. 2017;29(4). doi:10.1063/1.4981525
apa: Shi, L., Hof, B., Rampp, M., & Avila, M. (2017). Hydrodynamic turbulence
in quasi Keplerian rotating flows. Physics of Fluids. American Institute
of Physics. https://doi.org/10.1063/1.4981525
chicago: Shi, Liang, Björn Hof, Markus Rampp, and Marc Avila. “Hydrodynamic Turbulence
in Quasi Keplerian Rotating Flows.” Physics of Fluids. American Institute
of Physics, 2017. https://doi.org/10.1063/1.4981525.
ieee: L. Shi, B. Hof, M. Rampp, and M. Avila, “Hydrodynamic turbulence in quasi
Keplerian rotating flows,” Physics of Fluids, vol. 29, no. 4. American
Institute of Physics, 2017.
ista: Shi L, Hof B, Rampp M, Avila M. 2017. Hydrodynamic turbulence in quasi Keplerian
rotating flows. Physics of Fluids. 29(4), 044107.
mla: Shi, Liang, et al. “Hydrodynamic Turbulence in Quasi Keplerian Rotating Flows.”
Physics of Fluids, vol. 29, no. 4, 044107, American Institute of Physics,
2017, doi:10.1063/1.4981525.
short: L. Shi, B. Hof, M. Rampp, M. Avila, Physics of Fluids 29 (2017).
date_created: 2018-12-11T11:47:47Z
date_published: 2017-04-01T00:00:00Z
date_updated: 2025-09-11T07:06:55Z
day: '01'
department:
- _id: BjHo
doi: 10.1063/1.4981525
external_id:
arxiv:
- '1703.01714'
isi:
- '000400384100022'
intvolume: ' 29'
isi: 1
issue: '4'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1703.01714
month: '04'
oa: 1
oa_version: Submitted Version
project:
- _id: 2511D90C-B435-11E9-9278-68D0E5697425
grant_number: SFB 963 TP A8
name: Astrophysical instability of currents and turbulences
publication: Physics of Fluids
publication_identifier:
issn:
- 1070-6631
publication_status: published
publisher: American Institute of Physics
publist_id: '7072'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Hydrodynamic turbulence in quasi Keplerian rotating flows
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 29
year: '2017'
...
---
_id: '1494'
abstract:
- lang: eng
text: Turbulence is one of the most frequently encountered non-equilibrium phenomena
in nature, yet characterizing the transition that gives rise to turbulence in
basic shear flows has remained an elusive task. Although, in recent studies, critical
points marking the onset of sustained turbulence have been determined for several
such flows, the physical nature of the transition could not be fully explained.
In extensive experimental and computational studies we show for the example of
Couette flow that the onset of turbulence is a second-order phase transition and
falls into the directed percolation universality class. Consequently, the complex
laminar–turbulent patterns distinctive for the onset of turbulence in shear flows
result from short-range interactions of turbulent domains and are characterized
by universal critical exponents. More generally, our study demonstrates that even
high-dimensional systems far from equilibrium such as turbulence exhibit universality
at onset and that here the collective dynamics obeys simple rules.
acknowledgement: We thank P. Maier for providing valuable ideas and supporting us
in the technical aspects. Discussions with D. Barkley, Y. Duguet, B. Eckhart, N.
Goldenfeld, P. Manneville and K. Takeuchi are gratefully acknowledged. We acknowledge
the Deutsche Forschungsgemeinschaft (Project No. FOR 1182), and the European Research
Council under the European Union’s Seventh Framework Programme (FP/2007-2013)/ERC
Grant Agreement 306589 for financial support. L.S. and B.H. acknowledge research
funding by Deutsche Forschungsgemeinschaft (DFG) under Grant No. SFB 963/1 (project
A8). Numerical simulations were performed thanks to the CPU time allocations of
JUROPA in Juelich Supercomputing Center (project HGU17) and of the Max Planck Computing
and Data Facility (Garching, Germany). Excellent technical support from M. Rampp
on the hybrid code nsCouette is appreciated.
article_processing_charge: No
author:
- first_name: Grégoire M
full_name: Lemoult, Grégoire M
id: 4787FE80-F248-11E8-B48F-1D18A9856A87
last_name: Lemoult
- first_name: Liang
full_name: Shi, Liang
id: 374A3F1A-F248-11E8-B48F-1D18A9856A87
last_name: Shi
- first_name: Kerstin
full_name: Avila, Kerstin
last_name: Avila
- first_name: Shreyas V
full_name: Jalikop, Shreyas V
id: 44A1D772-F248-11E8-B48F-1D18A9856A87
last_name: Jalikop
- first_name: Marc
full_name: Avila, Marc
last_name: Avila
- first_name: Björn
full_name: Hof, Björn
id: 3A374330-F248-11E8-B48F-1D18A9856A87
last_name: Hof
orcid: 0000-0003-2057-2754
citation:
ama: Lemoult GM, Shi L, Avila K, Jalikop SV, Avila M, Hof B. Directed percolation
phase transition to sustained turbulence in Couette flow. Nature Physics.
2016;12(3):254-258. doi:10.1038/nphys3675
apa: Lemoult, G. M., Shi, L., Avila, K., Jalikop, S. V., Avila, M., & Hof, B.
(2016). Directed percolation phase transition to sustained turbulence in Couette
flow. Nature Physics. Nature Publishing Group. https://doi.org/10.1038/nphys3675
chicago: Lemoult, Grégoire M, Liang Shi, Kerstin Avila, Shreyas V Jalikop, Marc
Avila, and Björn Hof. “Directed Percolation Phase Transition to Sustained Turbulence
in Couette Flow.” Nature Physics. Nature Publishing Group, 2016. https://doi.org/10.1038/nphys3675.
ieee: G. M. Lemoult, L. Shi, K. Avila, S. V. Jalikop, M. Avila, and B. Hof, “Directed
percolation phase transition to sustained turbulence in Couette flow,” Nature
Physics, vol. 12, no. 3. Nature Publishing Group, pp. 254–258, 2016.
ista: Lemoult GM, Shi L, Avila K, Jalikop SV, Avila M, Hof B. 2016. Directed percolation
phase transition to sustained turbulence in Couette flow. Nature Physics. 12(3),
254–258.
mla: Lemoult, Grégoire M., et al. “Directed Percolation Phase Transition to Sustained
Turbulence in Couette Flow.” Nature Physics, vol. 12, no. 3, Nature Publishing
Group, 2016, pp. 254–58, doi:10.1038/nphys3675.
short: G.M. Lemoult, L. Shi, K. Avila, S.V. Jalikop, M. Avila, B. Hof, Nature Physics
12 (2016) 254–258.
date_created: 2018-12-11T11:52:21Z
date_published: 2016-02-15T00:00:00Z
date_updated: 2025-09-18T11:11:31Z
day: '15'
department:
- _id: BjHo
doi: 10.1038/nphys3675
ec_funded: 1
external_id:
isi:
- '000371505200019'
intvolume: ' 12'
isi: 1
issue: '3'
language:
- iso: eng
month: '02'
oa_version: None
page: 254 - 258
project:
- _id: 25152F3A-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '306589'
name: Decoding the complexity of turbulence at its origin
- _id: 2511D90C-B435-11E9-9278-68D0E5697425
grant_number: SFB 963 TP A8
name: Astrophysical instability of currents and turbulences
publication: Nature Physics
publication_status: published
publisher: Nature Publishing Group
publist_id: '5685'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Directed percolation phase transition to sustained turbulence in Couette flow
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 12
year: '2016'
...
---
_id: '2829'
abstract:
- lang: eng
text: Laminar-turbulent intermittency is intrinsic to the transitional regime of
a wide range of fluid flows including pipe, channel, boundary layer, and Couette
flow. In the latter turbulent spots can grow and form continuous stripes, yet
in the stripe-normal direction they remain interspersed by laminar fluid. We carry
out direct numerical simulations in a long narrow domain and observe that individual
turbulent stripes are transient. In agreement with recent observations in pipe
flow, we find that turbulence becomes sustained at a distinct critical point once
the spatial proliferation outweighs the inherent decaying process. By resolving
the asymptotic size distributions close to criticality we can for the first time
demonstrate scale invariance at the onset of turbulence.
article_number: '204502'
article_processing_charge: No
arxiv: 1
author:
- first_name: Liang
full_name: Shi, Liang
id: 374A3F1A-F248-11E8-B48F-1D18A9856A87
last_name: Shi
- first_name: Marc
full_name: Avila, Marc
last_name: Avila
- first_name: Björn
full_name: Hof, Björn
id: 3A374330-F248-11E8-B48F-1D18A9856A87
last_name: Hof
orcid: 0000-0003-2057-2754
citation:
ama: Shi L, Avila M, Hof B. Scale invariance at the onset of turbulence in couette
flow. Physical Review Letters. 2013;110(20). doi:10.1103/PhysRevLett.110.204502
apa: Shi, L., Avila, M., & Hof, B. (2013). Scale invariance at the onset of
turbulence in couette flow. Physical Review Letters. American Physical
Society. https://doi.org/10.1103/PhysRevLett.110.204502
chicago: Shi, Liang, Marc Avila, and Björn Hof. “Scale Invariance at the Onset of
Turbulence in Couette Flow.” Physical Review Letters. American Physical
Society, 2013. https://doi.org/10.1103/PhysRevLett.110.204502.
ieee: L. Shi, M. Avila, and B. Hof, “Scale invariance at the onset of turbulence
in couette flow,” Physical Review Letters, vol. 110, no. 20. American Physical
Society, 2013.
ista: Shi L, Avila M, Hof B. 2013. Scale invariance at the onset of turbulence in
couette flow. Physical Review Letters. 110(20), 204502.
mla: Shi, Liang, et al. “Scale Invariance at the Onset of Turbulence in Couette
Flow.” Physical Review Letters, vol. 110, no. 20, 204502, American Physical
Society, 2013, doi:10.1103/PhysRevLett.110.204502.
short: L. Shi, M. Avila, B. Hof, Physical Review Letters 110 (2013).
date_created: 2018-12-11T11:59:49Z
date_published: 2013-05-13T00:00:00Z
date_updated: 2025-09-29T13:51:32Z
day: '13'
department:
- _id: BjHo
doi: 10.1103/PhysRevLett.110.204502
ec_funded: 1
external_id:
arxiv:
- '1304.5446'
isi:
- '000319062300011'
intvolume: ' 110'
isi: 1
issue: '20'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1304.5446
month: '05'
oa: 1
oa_version: Preprint
project:
- _id: 25152F3A-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '306589'
name: Decoding the complexity of turbulence at its origin
- _id: 2511D90C-B435-11E9-9278-68D0E5697425
grant_number: SFB 963 TP A8
name: Astrophysical instability of currents and turbulences
publication: Physical Review Letters
publication_status: published
publisher: American Physical Society
publist_id: '3970'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Scale invariance at the onset of turbulence in couette flow
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 110
year: '2013'
...