---
OA_place: publisher
OA_type: hybrid
PlanS_conform: '1'
_id: '21295'
abstract:
- lang: eng
text: 'Depending on the type of flow, the transition to turbulence can take one
of two forms: either turbulence arises from a sequence of instabilities or from
the spatial proliferation of transiently chaotic domains, a process analogous
to directed percolation. The former scenario is commonly referred to as a supercritical
transition and frequently encountered in flows destabilized by body forces, whereas
the latter subcritical transition is common in shear flows. Both cases are inherently
continuous in a sense that the transformation from ordered laminar to fully turbulent
fluid motion is only accomplished gradually with flow speed. Here we show that
these established transition types do not account for the more general setting
of shear flows subject to body forces. The combination of the two continuous scenarios
leads to the attenuation of spatial coupling; with increasing forcing amplitude,
the transition becomes increasingly sharp and eventually discontinuous. We argue
that the suppression of laminar–turbulent coexistence and the approach towards
a discontinuous phase transition potentially apply to a broad range of situations
including flows subject to, for example, buoyancy, centrifugal or electromagnetic
forces.'
acknowledgement: The work was supported by the Simons Foundation (grant number 662960,
to B.H.). Open access funding provided by Institute of Science and Technology (IST
Austria).
article_processing_charge: Yes (via OA deal)
article_type: original
arxiv: 1
author:
- first_name: Bowen
full_name: Yang, Bowen
id: 71b6ff4b-15b2-11ec-abd3-aef6b028cf7e
last_name: Yang
orcid: 0000-0002-4843-6853
- first_name: Yi
full_name: Zhuang, Yi
id: 3677B57C-F248-11E8-B48F-1D18A9856A87
last_name: Zhuang
- first_name: Gökhan
full_name: Yalniz, Gökhan
id: 66E74FA2-D8BF-11E9-8249-8DE2E5697425
last_name: Yalniz
orcid: 0000-0002-8490-9312
- first_name: Mukund
full_name: Vasudevan, Mukund
id: 3C5A959A-F248-11E8-B48F-1D18A9856A87
last_name: Vasudevan
- first_name: Elena
full_name: Marensi, Elena
id: 0BE7553A-1004-11EA-B805-18983DDC885E
last_name: Marensi
orcid: 0000-0001-7173-4923
- first_name: Björn
full_name: Hof, Björn
id: 3A374330-F248-11E8-B48F-1D18A9856A87
last_name: Hof
orcid: 0000-0003-2057-2754
citation:
ama: Yang B, Zhuang Y, Yalniz G, Vasudevan M, Marensi E, Hof B. Discontinuous transition
to shear flow turbulence. Nature Physics. 2026. doi:10.1038/s41567-025-03166-3
apa: Yang, B., Zhuang, Y., Yalniz, G., Vasudevan, M., Marensi, E., & Hof, B.
(2026). Discontinuous transition to shear flow turbulence. Nature Physics.
Springer Nature. https://doi.org/10.1038/s41567-025-03166-3
chicago: Yang, Bowen, Yi Zhuang, Gökhan Yalniz, Mukund Vasudevan, Elena Marensi,
and Björn Hof. “Discontinuous Transition to Shear Flow Turbulence.” Nature
Physics. Springer Nature, 2026. https://doi.org/10.1038/s41567-025-03166-3.
ieee: B. Yang, Y. Zhuang, G. Yalniz, M. Vasudevan, E. Marensi, and B. Hof, “Discontinuous
transition to shear flow turbulence,” Nature Physics. Springer Nature,
2026.
ista: Yang B, Zhuang Y, Yalniz G, Vasudevan M, Marensi E, Hof B. 2026. Discontinuous
transition to shear flow turbulence. Nature Physics.
mla: Yang, Bowen, et al. “Discontinuous Transition to Shear Flow Turbulence.” Nature
Physics, Springer Nature, 2026, doi:10.1038/s41567-025-03166-3.
short: B. Yang, Y. Zhuang, G. Yalniz, M. Vasudevan, E. Marensi, B. Hof, Nature Physics
(2026).
corr_author: '1'
date_created: 2026-02-17T11:38:41Z
date_published: 2026-02-17T00:00:00Z
date_updated: 2026-02-23T11:36:46Z
day: '17'
ddc:
- '532'
department:
- _id: GradSch
- _id: BjHo
doi: 10.1038/s41567-025-03166-3
external_id:
arxiv:
- '2311.11474'
has_accepted_license: '1'
language:
- iso: eng
month: '02'
oa_version: Published Version
project:
- _id: 238598C6-32DE-11EA-91FC-C7463DDC885E
grant_number: '662960'
name: Revisiting the Turbulence Problem Using Statistical Mechanics
publication: Nature Physics
publication_identifier:
eissn:
- 1745-2481
issn:
- 1745-2473
publication_status: epub_ahead
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: Discontinuous transition to shear flow turbulence
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
year: '2026'
...
---
DOAJ_listed: '1'
OA_place: publisher
OA_type: gold
PlanS_conform: '1'
_id: '20402'
abstract:
- lang: eng
text: The recent classification of the onset of turbulence as a directed percolation
(DP) phase transition has been applied to all major shear flows including pipe,
channel, Couette and boundary layer flows. A cornerstone of the DP analogy is
the memoryless (Poisson) property of turbulent sites. We here show that, for the
classic case of channel flow, neither the decay nor the proliferation of turbulent
stripes is memoryless. As demonstrated by a standard analysis of the respective
survival curves, isolated channel stripes, in the immediate vicinity of the critical
point, age. Consequently, the one to one mapping between turbulent stripes and
active DP-sites is not fulfilled in this low Reynolds number regime. In addition,
the interpretation of turbulence as a chaotic saddle with supertransient properties,
the basis of recent theoretical progress, does not apply to individual localized
stripes. The discrepancy between channel flow and the transition models established
for pipe and Couette flow, illustrates that seemingly minor geometrical differences
between flows can give rise to instabilities and growth mechanisms that fundamentally
alter the nature of the transition to turbulence.
acknowledgement: This work was supported by a grant from the Simons Foundation (662960,
BH). We thank Yohann Duguet for helpful discussions, Baofang Song for the initial
adaptation of openpipeflow57 to the channel geometry, and Ashley P. Willis for openpipeflow57.
article_number: '8447'
article_processing_charge: Yes
article_type: original
arxiv: 1
author:
- first_name: Mukund
full_name: Vasudevan, Mukund
id: 3C5A959A-F248-11E8-B48F-1D18A9856A87
last_name: Vasudevan
- first_name: Chaitanya S
full_name: Paranjape, Chaitanya S
id: 3D85B7C4-F248-11E8-B48F-1D18A9856A87
last_name: Paranjape
- first_name: Michael Philip
full_name: Sitte, Michael Philip
id: 0ba0f1f2-9cfe-11f0-bee6-f95318d225b0
last_name: Sitte
- first_name: Gökhan
full_name: Yalniz, Gökhan
id: 66E74FA2-D8BF-11E9-8249-8DE2E5697425
last_name: Yalniz
orcid: 0000-0002-8490-9312
- first_name: Björn
full_name: Hof, Björn
id: 3A374330-F248-11E8-B48F-1D18A9856A87
last_name: Hof
orcid: 0000-0003-2057-2754
citation:
ama: Vasudevan M, Paranjape CS, Sitte MP, Yalniz G, Hof B. Aging and memory of transitional
turbulence. Nature Communications. 2025;16. doi:10.1038/s41467-025-63044-7
apa: Vasudevan, M., Paranjape, C. S., Sitte, M. P., Yalniz, G., & Hof, B. (2025).
Aging and memory of transitional turbulence. Nature Communications. Springer
Nature. https://doi.org/10.1038/s41467-025-63044-7
chicago: Vasudevan, Mukund, Chaitanya S Paranjape, Michael Philip Sitte, Gökhan
Yalniz, and Björn Hof. “Aging and Memory of Transitional Turbulence.” Nature
Communications. Springer Nature, 2025. https://doi.org/10.1038/s41467-025-63044-7.
ieee: M. Vasudevan, C. S. Paranjape, M. P. Sitte, G. Yalniz, and B. Hof, “Aging
and memory of transitional turbulence,” Nature Communications, vol. 16.
Springer Nature, 2025.
ista: Vasudevan M, Paranjape CS, Sitte MP, Yalniz G, Hof B. 2025. Aging and memory
of transitional turbulence. Nature Communications. 16, 8447.
mla: Vasudevan, Mukund, et al. “Aging and Memory of Transitional Turbulence.” Nature
Communications, vol. 16, 8447, Springer Nature, 2025, doi:10.1038/s41467-025-63044-7.
short: M. Vasudevan, C.S. Paranjape, M.P. Sitte, G. Yalniz, B. Hof, Nature Communications
16 (2025).
corr_author: '1'
date_created: 2025-09-27T13:27:31Z
date_published: 2025-09-26T00:00:00Z
date_updated: 2025-12-01T12:40:27Z
day: '26'
ddc:
- '532'
department:
- _id: BjHo
doi: 10.1038/s41467-025-63044-7
external_id:
arxiv:
- '2112.06537'
isi:
- '001582555200041'
file:
- access_level: open_access
checksum: 945926ead9cde464435d456427e2869e
content_type: application/pdf
creator: gyalniz
date_created: 2025-09-27T13:32:03Z
date_updated: 2025-09-27T13:32:03Z
file_id: '20403'
file_name: s41467-025-63044-7.pdf
file_size: 2226082
relation: main_file
file_date_updated: 2025-09-27T13:32:03Z
has_accepted_license: '1'
intvolume: ' 16'
isi: 1
language:
- iso: eng
month: '09'
oa: 1
oa_version: Published Version
project:
- _id: 238598C6-32DE-11EA-91FC-C7463DDC885E
grant_number: '662960'
name: Revisiting the Turbulence Problem Using Statistical Mechanics
publication: Nature Communications
publication_identifier:
eissn:
- 2041-1723
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: Aging and memory of transitional turbulence
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: 16
year: '2025'
...
---
OA_place: publisher
_id: '19684'
abstract:
- lang: eng
text: "The overarching goal of this thesis is to break down the complexity of turbulent
flows in terms of enumerable, coherent structures and patterns. In a five-paper
series, we adopt a variety of perspectives and techniques to relate the properties
of systems of increasing complexity to their underlying coherent structures. \r\n\r\nInitially,
we take a dynamical systems point of view, seeing turbulent flow as a chaotic
trajectory bouncing between exact unstable solutions of the underlying equations
of motion. Using persistent homology, the main tool of topological data analysis
capturing the persistence across scales of topological features in a point cloud,
we introduce a method that quantifies visits of turbulent trajectories to unstable
time-periodic solutions, also called periodic orbits. We demonstrate this method
first in the Rössler and Kuramoto–Sivashinsky systems. Using this method in 3D
Kolmogorov flow, we extract a Markov chain from turbulent data, where each node
corresponds to the neighbourhood of a periodic orbit. The invariant distribution
of this Markov chain reproduces expectation values on turbulent data when it is
used to weight averages on the respective periodic orbits.\r\n\r\nIn more realistic,
wall-bounded settings, such as plane-Couette flow (pcf) driven by the relative
motion of the walls, or plane-Poiseuille flow (ppf) driven by a pressure gradient,
finding exact solutions is difficult. We use dynamic mode decomposition (DMD),
a dimensionality reduction method for sequential data, to identify and approximate
low-dimensional dynamics without knowing any exact solutions. Most spatially-extended
systems are equivariant under translations, and in such cases spatial drifts dominate
DMD, hindering its use in the search for and modelling of low-dimensional dynamics.
We augment DMD with a symmetry reduction method trained on turbulent data to stop
it from seeing translations as a feature, improving its ability to extract dynamical
information in translation-equivariant systems. We find segments of turbulent
trajectories that linearize well with their symmetry-reduced DMD spectra, akin
to dynamics near exact solutions. Searching for harmonics in the spectra gives
leads for periodic orbits with spatial drifts, one of which converges to a new
solution.\r\n\r\nIn larger domains, turbulence can localize and coexist with surrounding
laminar flow. Our preceding approaches are global, taking all of a domain into
account at once, and cannot readily treat each localized patch individually. Working
first in a minimal oblique domain that can host a single 1D-localized turbulent
patch, we find that turbulence in ppf is connected to a stable periodic orbit
at a flow velocity much lower than when turbulence is first onset. We show that,
well in advance of sustained turbulence, chaos sets in explosively, and for long
time horizons, time series are consistent with that of a random process.\r\n\r\nFinally,
in much larger domains, we study and compare 2D-localized turbulence that appears
as large-scale inclined structures, called stripes, in ppf and pcf. While appearing
similar, we find that stripes in these two settings differ significantly in terms
of how they sustain themselves, and in higher velocities, how they proliferate."
acknowledged_ssus:
- _id: ScienComp
acknowledgement: "The work in this thesis was supported by a grant from the Simons
Foundation (662960, BH).\r\n"
alternative_title:
- ISTA Thesis
article_processing_charge: No
author:
- first_name: Gökhan
full_name: Yalniz, Gökhan
id: 66E74FA2-D8BF-11E9-8249-8DE2E5697425
last_name: Yalniz
orcid: 0000-0002-8490-9312
citation:
ama: 'Yalniz G. Transition to turbulence : Data-, solution-, and pattern-driven
approaches. 2025. doi:10.15479/AT-ISTA-19684'
apa: 'Yalniz, G. (2025). Transition to turbulence : Data-, solution-, and pattern-driven
approaches. Institute of Science and Technology Austria. https://doi.org/10.15479/AT-ISTA-19684'
chicago: 'Yalniz, Gökhan. “Transition to Turbulence : Data-, Solution-, and Pattern-Driven
Approaches.” Institute of Science and Technology Austria, 2025. https://doi.org/10.15479/AT-ISTA-19684.'
ieee: 'G. Yalniz, “Transition to turbulence : Data-, solution-, and pattern-driven
approaches,” Institute of Science and Technology Austria, 2025.'
ista: 'Yalniz G. 2025. Transition to turbulence : Data-, solution-, and pattern-driven
approaches. Institute of Science and Technology Austria.'
mla: 'Yalniz, Gökhan. Transition to Turbulence : Data-, Solution-, and Pattern-Driven
Approaches. Institute of Science and Technology Austria, 2025, doi:10.15479/AT-ISTA-19684.'
short: 'G. Yalniz, Transition to Turbulence : Data-, Solution-, and Pattern-Driven
Approaches, Institute of Science and Technology Austria, 2025.'
corr_author: '1'
date_created: 2025-05-12T15:12:28Z
date_published: 2025-05-13T00:00:00Z
date_updated: 2026-04-07T11:47:06Z
day: '13'
ddc:
- '514'
- '519'
- '532'
- '004'
degree_awarded: PhD
department:
- _id: GradSch
- _id: BjHo
doi: 10.15479/AT-ISTA-19684
file:
- access_level: open_access
checksum: 0e452642b79f13633f1595bde71a67e3
content_type: application/pdf
creator: gyalniz
date_created: 2025-05-12T15:13:28Z
date_updated: 2025-05-12T15:13:28Z
file_id: '19685'
file_name: Gökhan Yalnız - PhD thesis.pdf
file_size: 20058169
relation: main_file
success: 1
- access_level: open_access
checksum: 921099d76adab2df784ce12ce41cfb22
content_type: video/mp4
creator: gyalniz
date_created: 2025-05-12T15:15:59Z
date_updated: 2025-05-12T15:43:28Z
description: '3D visualizations of the turbulent flow (left) and the periodic orbits
(middle) that are being shadowed along with the local state space projections
(right) onto the principal components of the respective periodic orbit. Shown
here are the isosurfaces of velocity (red/blue: ±95% of the instantaneous maximum)
and vorticity (purple/green: ±65% of the instantaneous maximum) in the x-direction.
Markers along the projections are in sync with the 3D visualizations. The movie
corresponds to the initial time interval (up to t = 100) of figure 2.2 (a,b);
periodic orbits and the state space projections are shown only through the shadowing
events indicated in figure 2.2 (b).'
file_id: '19686'
file_name: Movie 2A.1.mp4
file_size: 37763743
relation: supplementary_material
title: Chapter 2 - Movie 2A.1
- access_level: open_access
checksum: 0ae5ac7d9896003c0c4207dd746808dc
content_type: video/mp4
creator: gyalniz
date_created: 2025-05-12T15:16:09Z
date_updated: 2025-05-12T15:43:28Z
description: 'Turbulent flow (left) in HKW domain and its symmetry reduction (right).
Shown here are the isosurfaces of streamwise velocity (red/blue: u = 0.5 max/min
u) and streamwise vorticity (green/purple: ω_x = 0.5 max/min ω_x).'
file_id: '19687'
file_name: Movie 3A.1.mp4
file_size: 3902655
relation: supplementary_material
title: Chapter 3 - Movie 3A.1
- access_level: open_access
checksum: ef8d270e066c1a9c3cb5ae46acf945e6
content_type: video/mp4
creator: gyalniz
date_created: 2025-05-12T15:16:21Z
date_updated: 2025-05-12T15:43:28Z
description: 'Turbulent flow (left) in P2K domain and its symmetry reduction (right).
Shown here are the isosurfaces of streamwise velocity (red/blue: u = 0.5 max/min
u) and streamwise vorticity (green/purple: ω_x = 0.5 max/min ω_x).'
file_id: '19688'
file_name: Movie 3A.2.mp4
file_size: 7043169
relation: supplementary_material
title: Chapter 3 - Movie 3A.2
- access_level: open_access
checksum: 7ed871f428100d6827ac9b0e8ca8e985
content_type: video/mp4
creator: gyalniz
date_created: 2025-05-12T15:16:36Z
date_updated: 2025-05-12T15:43:28Z
description: 'Relative periodic orbit RPO_79.4 (left) of the plane-Couette flow
(HKW domain) and its symmetry reduction (right). Shown here are the isosurfaces
of streamwise velocity (red/blue: u = 0.5 max/min u) and streamwise vorticity
(green/purple: ω_x = 0.5 max/min ω_x).'
file_id: '19689'
file_name: Movie 3A.3.mp4
file_size: 7748659
relation: supplementary_material
title: Chapter 3 - Movie 3A.3
- access_level: open_access
checksum: dd5a252e1da00c8f303588e22e2baeef
content_type: video/mp4
creator: gyalniz
date_created: 2025-05-12T15:16:50Z
date_updated: 2025-05-12T15:43:28Z
description: 'Symmetry-reduced flow (left), its SRDMD approximation (middle), and
state space projection (right) showing the spiral-out episode in P2K domain (figure
3.6 (b) and figure 3.8 (b)). Shown here are the isosurfaces of streamwise velocity
(red/blue: u = 0.5 max/min u) and streamwise vorticity (green/purple: ω_x = 0.5
max/min ω_x).'
file_id: '19690'
file_name: Movie 3A.4.mp4
file_size: 5873052
relation: supplementary_material
title: Chapter 3 - Movie 3A.4
- access_level: open_access
checksum: 5ac58b86810698db28cbfc28f351ff70
content_type: video/mp4
creator: gyalniz
date_created: 2025-05-12T15:17:11Z
date_updated: 2025-05-12T15:43:28Z
description: Movie demonstrating the quasi-steady Reynolds number descent from turbulence
to a periodic orbit.
file_id: '19691'
file_name: Movie 4A.1.mp4
file_size: 9209327
relation: supplementary_material
title: Chapter 4 - Movie 4A.1
- access_level: open_access
checksum: ac877f1e1ef39439911bf37cb1793b8e
content_type: video/mp4
creator: gyalniz
date_created: 2025-05-12T15:17:43Z
date_updated: 2025-05-12T15:43:28Z
description: Streamwise velocity fluctuations (from laminar) of plane-Couette flow
(Re^C =335) at the y = 0 wall-normal plane in coordinates stationary with respect
to the bulk velocity. Here, x is the streamwise direction (the wall at y = 1 moves
to the right) and z is the spanwise direction. Time is in advectime time units.
Shown is the full (L_x = L_z = 400) domain.
file_id: '19692'
file_name: Movie 5A.1.mp4
file_size: 5893993
relation: supplementary_material
title: Chapter 5 - Movie 5A.1
- access_level: open_access
checksum: fd17eabb70129ceaa414e40924d1d2fe
content_type: video/mp4
creator: gyalniz
date_created: 2025-05-12T15:17:49Z
date_updated: 2025-05-12T15:43:28Z
description: Streamwise velocity fluctuations (from laminar) of plane-Poiseuille
flow (Re^P =660) at the y = 0.5 wall-normal plane in coordinates stationary with
respect to the bulk velocity. Here, x is the streamwise direction (the mean negative
pressure gradient is to the right) and z is the spanwise direction. Time is in
advectime time units. Shown is the full (L_x = L_z = 400) domain.
file_id: '19693'
file_name: Movie 5A.2.mp4
file_size: 3990352
relation: supplementary_material
title: Chapter 5 - Movie 5A.2
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checksum: 32f904497ab0bbee38f0788d96b91454
content_type: video/mp4
creator: gyalniz
date_created: 2025-05-12T15:17:58Z
date_updated: 2025-05-12T15:43:28Z
description: Streamwise velocity fluctuations (from laminar) of plane-Poiseuille
flow (Re^P=660) at the y = 0.5 wall-normal plane in coordinates stationary with
respect to the average velocity of the downstream tip of the stripe. Here, x is
the streamwise direction (the mean negative pressure gradient is to the right)
and z is the spanwise direction. Time is in advectime time units. Shown is a zoom-in
of the full (L_x = L_z) domain.
file_id: '19694'
file_name: Movie 5A.3.mp4
file_size: 5171009
relation: supplementary_material
title: Chapter 5 - Movie 5A.3
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checksum: f313261b9bb12dfb943fead8318954c6
content_type: application/x-zip-compressed
creator: gyalniz
date_created: 2025-05-12T15:27:10Z
date_updated: 2025-05-12T15:43:28Z
file_id: '19695'
file_name: Gökhan Yalnız - PhD thesis.zip
file_size: 18991996
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file_date_updated: 2025-05-12T15:43:28Z
has_accepted_license: '1'
language:
- iso: eng
month: '05'
oa: 1
oa_version: Published Version
page: '155'
project:
- _id: 238598C6-32DE-11EA-91FC-C7463DDC885E
grant_number: '662960'
name: Revisiting the Turbulence Problem Using Statistical Mechanics
publication_identifier:
issn:
- 2663-337X
publication_status: published
publisher: Institute of Science and Technology Austria
related_material:
record:
- id: '7563'
relation: part_of_dissertation
status: public
- id: '9558'
relation: part_of_dissertation
status: public
- id: '12105'
relation: part_of_dissertation
status: public
- id: '13274'
relation: part_of_dissertation
status: public
- id: '14466'
relation: part_of_dissertation
status: public
status: public
supervisor:
- first_name: Björn
full_name: Hof, Björn
id: 3A374330-F248-11E8-B48F-1D18A9856A87
last_name: Hof
orcid: 0000-0003-2057-2754
title: 'Transition to turbulence : Data-, solution-, and pattern-driven approaches'
type: dissertation
user_id: ba8df636-2132-11f1-aed0-ed93e2281fdd
year: '2025'
...
---
_id: '17128'
abstract:
- lang: eng
text: The onset of turbulence in pipe flow has defied detailed understanding ever
since the first observations of the spatially heterogeneous nature of the transition.
Recent theoretical studies and experiments in simpler, shear-driven flows suggest
that the onset of turbulence is a directed-percolation non-equilibrium phase transition,
but whether these findings are generic and also apply to open or pressure-driven
flows is unknown. In pipe flow, the extremely long time scales near the transition
make direct observations of critical behaviour virtually impossible. Here we find
a technical solution to that limitation and show that the universality class of
the transition is directed percolation, from which a jammed phase of puffs emerges
above the critical point. Our method is to experimentally characterize all pairwise
interactions between localized patches of turbulence puffs and use these interactions
as input for renormalization group and computer simulations of minimal models
that extrapolate to long length and time scales. The strong interactions in the
jamming regime enable us to explicitly measure the turbulent fraction and confirm
model predictions. Our work shows that directed-percolation scaling applies beyond
simple closed shear flows and underscores how statistical mechanics can lead to
profound, quantitative and predictive insights on turbulent flows and their phases.
acknowledgement: We gratefully acknowledge the assistance of J. M. Lopez with DNSs
at an early stage of this work. This work was partially supported by two grants
from the Simons Foundation (grant nos. 662985 (N.G.) and 662960 (B.H.)) and by Ministry
of Science and Technology, Taiwan (grant nos. MOST 109-2112-M-001-017-MY3 and MOST
111-2112-M-001-027-MY3 (H.-Y.S.)). Part of this work was performed using computing
resources of CRIANN (Normandy, France).
article_processing_charge: No
article_type: original
author:
- first_name: Grégoire M
full_name: Lemoult, Grégoire M
id: 4787FE80-F248-11E8-B48F-1D18A9856A87
last_name: Lemoult
- first_name: Mukund
full_name: Vasudevan, Mukund
id: 3C5A959A-F248-11E8-B48F-1D18A9856A87
last_name: Vasudevan
- first_name: Hong Yan
full_name: Shih, Hong Yan
last_name: Shih
- first_name: Gaute
full_name: Linga, Gaute
last_name: Linga
- first_name: Joachim
full_name: Mathiesen, Joachim
last_name: Mathiesen
- first_name: Nigel
full_name: Goldenfeld, Nigel
last_name: Goldenfeld
- 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, Vasudevan M, Shih HY, et al. Directed percolation and puff jamming
near the transition to pipe turbulence. Nature Physics. 2024;20:1339-1345.
doi:10.1038/s41567-024-02513-0
apa: Lemoult, G. M., Vasudevan, M., Shih, H. Y., Linga, G., Mathiesen, J., Goldenfeld,
N., & Hof, B. (2024). Directed percolation and puff jamming near the transition
to pipe turbulence. Nature Physics. Springer Nature. https://doi.org/10.1038/s41567-024-02513-0
chicago: Lemoult, Grégoire M, Mukund Vasudevan, Hong Yan Shih, Gaute Linga, Joachim
Mathiesen, Nigel Goldenfeld, and Björn Hof. “Directed Percolation and Puff Jamming
near the Transition to Pipe Turbulence.” Nature Physics. Springer Nature,
2024. https://doi.org/10.1038/s41567-024-02513-0.
ieee: G. M. Lemoult et al., “Directed percolation and puff jamming near the
transition to pipe turbulence,” Nature Physics, vol. 20. Springer Nature,
pp. 1339–1345, 2024.
ista: Lemoult GM, Vasudevan M, Shih HY, Linga G, Mathiesen J, Goldenfeld N, Hof
B. 2024. Directed percolation and puff jamming near the transition to pipe turbulence.
Nature Physics. 20, 1339–1345.
mla: Lemoult, Grégoire M., et al. “Directed Percolation and Puff Jamming near the
Transition to Pipe Turbulence.” Nature Physics, vol. 20, Springer Nature,
2024, pp. 1339–45, doi:10.1038/s41567-024-02513-0.
short: G.M. Lemoult, M. Vasudevan, H.Y. Shih, G. Linga, J. Mathiesen, N. Goldenfeld,
B. Hof, Nature Physics 20 (2024) 1339–1345.
corr_author: '1'
date_created: 2024-06-09T22:01:03Z
date_published: 2024-08-01T00:00:00Z
date_updated: 2025-09-08T07:50:20Z
day: '01'
department:
- _id: BjHo
doi: 10.1038/s41567-024-02513-0
external_id:
isi:
- '001232300600001'
intvolume: ' 20'
isi: 1
language:
- iso: eng
month: '08'
oa_version: None
page: 1339-1345
project:
- _id: 238598C6-32DE-11EA-91FC-C7463DDC885E
grant_number: '662960'
name: Revisiting the Turbulence Problem Using Statistical Mechanics
publication: Nature Physics
publication_identifier:
eissn:
- 1745-2481
issn:
- 1745-2473
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: Directed percolation and puff jamming near the transition to pipe turbulence
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 20
year: '2024'
...
---
_id: '14341'
abstract:
- lang: eng
text: Flows through pipes and channels are, in practice, almost always turbulent,
and the multiscale eddying motion is responsible for a major part of the encountered
friction losses and pumping costs1. Conversely, for pulsatile flows, in particular
for aortic blood flow, turbulence levels remain low despite relatively large peak
velocities. For aortic blood flow, high turbulence levels are intolerable as they
would damage the shear-sensitive endothelial cell layer2,3,4,5. Here we show that
turbulence in ordinary pipe flow is diminished if the flow is driven in a pulsatile
mode that incorporates all the key features of the cardiac waveform. At Reynolds
numbers comparable to those of aortic blood flow, turbulence is largely inhibited,
whereas at much higher speeds, the turbulent drag is reduced by more than 25%.
This specific operation mode is more efficient when compared with steady driving,
which is the present situation for virtually all fluid transport processes ranging
from heating circuits to water, gas and oil pipelines.
acknowledged_ssus:
- _id: M-Shop
- _id: ScienComp
acknowledgement: We acknowledge the assistance of the Miba machine shop and the team
of the ISTA-HPC cluster. We thank M. Quadrio for the discussions. The work was supported
by the Simons Foundation (grant no. 662960) and by the Austrian Science Fund (grant
no. I4188-N30), within Deutsche Forschungsgemeinschaft research unit FOR 2688.
article_processing_charge: No
article_type: original
author:
- first_name: Davide
full_name: Scarselli, Davide
id: 40315C30-F248-11E8-B48F-1D18A9856A87
last_name: Scarselli
orcid: 0000-0001-5227-4271
- first_name: Jose M
full_name: Lopez Alonso, Jose M
id: 40770848-F248-11E8-B48F-1D18A9856A87
last_name: Lopez Alonso
orcid: 0000-0002-0384-2022
- first_name: Atul
full_name: Varshney, Atul
id: 2A2006B2-F248-11E8-B48F-1D18A9856A87
last_name: Varshney
orcid: 0000-0002-3072-5999
- first_name: Björn
full_name: Hof, Björn
id: 3A374330-F248-11E8-B48F-1D18A9856A87
last_name: Hof
orcid: 0000-0003-2057-2754
citation:
ama: Scarselli D, Lopez Alonso JM, Varshney A, Hof B. Turbulence suppression by
cardiac-cycle-inspired driving of pipe flow. Nature. 2023;621(7977):71-74.
doi:10.1038/s41586-023-06399-5
apa: Scarselli, D., Lopez Alonso, J. M., Varshney, A., & Hof, B. (2023). Turbulence
suppression by cardiac-cycle-inspired driving of pipe flow. Nature. Springer
Nature. https://doi.org/10.1038/s41586-023-06399-5
chicago: Scarselli, Davide, Jose M Lopez Alonso, Atul Varshney, and Björn Hof. “Turbulence
Suppression by Cardiac-Cycle-Inspired Driving of Pipe Flow.” Nature. Springer
Nature, 2023. https://doi.org/10.1038/s41586-023-06399-5.
ieee: D. Scarselli, J. M. Lopez Alonso, A. Varshney, and B. Hof, “Turbulence suppression
by cardiac-cycle-inspired driving of pipe flow,” Nature, vol. 621, no.
7977. Springer Nature, pp. 71–74, 2023.
ista: Scarselli D, Lopez Alonso JM, Varshney A, Hof B. 2023. Turbulence suppression
by cardiac-cycle-inspired driving of pipe flow. Nature. 621(7977), 71–74.
mla: Scarselli, Davide, et al. “Turbulence Suppression by Cardiac-Cycle-Inspired
Driving of Pipe Flow.” Nature, vol. 621, no. 7977, Springer Nature, 2023,
pp. 71–74, doi:10.1038/s41586-023-06399-5.
short: D. Scarselli, J.M. Lopez Alonso, A. Varshney, B. Hof, Nature 621 (2023) 71–74.
corr_author: '1'
date_created: 2023-09-17T22:01:09Z
date_published: 2023-09-07T00:00:00Z
date_updated: 2025-09-09T12:59:04Z
day: '07'
ddc:
- '530'
department:
- _id: BjHo
doi: 10.1038/s41586-023-06399-5
external_id:
isi:
- '001168947700009'
pmid:
- '37673988'
file:
- access_level: open_access
checksum: 9c9f172ba0a9a301d76fff4229812464
content_type: application/pdf
creator: dernst
date_created: 2024-06-04T09:24:34Z
date_updated: 2024-06-04T09:24:34Z
file_id: '17118'
file_name: 2023_submittedversion.pdf
file_size: 3247252
relation: main_file
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file_date_updated: 2024-06-04T09:24:34Z
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intvolume: ' 621'
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issue: '7977'
language:
- iso: eng
month: '09'
oa: 1
oa_version: Submitted Version
page: 71-74
pmid: 1
project:
- _id: 238598C6-32DE-11EA-91FC-C7463DDC885E
grant_number: '662960'
name: Revisiting the Turbulence Problem Using Statistical Mechanics
- _id: 238B8092-32DE-11EA-91FC-C7463DDC885E
call_identifier: FWF
grant_number: I04188
name: Instabilities in pulsating pipe flow in complex fluids
publication: Nature
publication_identifier:
eissn:
- 1476-4687
issn:
- 0028-0836
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
related_material:
link:
- description: News on ISTA website
relation: press_release
url: https://www.ista.ac.at/en/news/pumping-like-the-heart/
scopus_import: '1'
status: public
title: Turbulence suppression by cardiac-cycle-inspired driving of pipe flow
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 621
year: '2023'
...
---
_id: '12682'
abstract:
- lang: eng
text: 'Since the seminal studies by Osborne Reynolds in the nineteenth century,
pipe flow has served as a primary prototype for investigating the transition to
turbulence in wall-bounded flows. Despite the apparent simplicity of this flow,
various facets of this problem have occupied researchers for more than a century.
Here we review insights from three distinct perspectives: (a) stability and susceptibility
of laminar flow, (b) phase transition and spatiotemporal dynamics, and (c) dynamical
systems analysis of the Navier—Stokes equations. We show how these perspectives
have led to a profound understanding of the onset of turbulence in pipe flow.
Outstanding open points, applications to flows of complex fluids, and similarities
with other wall-bounded flows are discussed.'
acknowledgement: 'The authors are very grateful to Laurette Tuckerman for her helpful
comments. This work was supported by grants from the Simons Foundation (grant numbers
662985, D.B., and 662960, B.H.) and the Priority Programme “SPP 1881: Turbulent
Superstructures” of the Deutsche Forschungsgemeinschaft (grant number AV120/3-2
to M.A.).'
article_processing_charge: No
article_type: original
author:
- first_name: Marc
full_name: Avila, Marc
last_name: Avila
- first_name: Dwight
full_name: Barkley, Dwight
last_name: Barkley
- first_name: Björn
full_name: Hof, Björn
id: 3A374330-F248-11E8-B48F-1D18A9856A87
last_name: Hof
orcid: 0000-0003-2057-2754
citation:
ama: Avila M, Barkley D, Hof B. Transition to turbulence in pipe flow. Annual
Review of Fluid Mechanics. 2023;55:575-602. doi:10.1146/annurev-fluid-120720-025957
apa: Avila, M., Barkley, D., & Hof, B. (2023). Transition to turbulence in pipe
flow. Annual Review of Fluid Mechanics. Annual Reviews. https://doi.org/10.1146/annurev-fluid-120720-025957
chicago: Avila, Marc, Dwight Barkley, and Björn Hof. “Transition to Turbulence in
Pipe Flow.” Annual Review of Fluid Mechanics. Annual Reviews, 2023. https://doi.org/10.1146/annurev-fluid-120720-025957.
ieee: M. Avila, D. Barkley, and B. Hof, “Transition to turbulence in pipe flow,”
Annual Review of Fluid Mechanics, vol. 55. Annual Reviews, pp. 575–602,
2023.
ista: Avila M, Barkley D, Hof B. 2023. Transition to turbulence in pipe flow. Annual
Review of Fluid Mechanics. 55, 575–602.
mla: Avila, Marc, et al. “Transition to Turbulence in Pipe Flow.” Annual Review
of Fluid Mechanics, vol. 55, Annual Reviews, 2023, pp. 575–602, doi:10.1146/annurev-fluid-120720-025957.
short: M. Avila, D. Barkley, B. Hof, Annual Review of Fluid Mechanics 55 (2023)
575–602.
date_created: 2023-02-26T23:01:01Z
date_published: 2023-01-19T00:00:00Z
date_updated: 2024-10-22T11:08:43Z
day: '19'
ddc:
- '530'
department:
- _id: BjHo
doi: 10.1146/annurev-fluid-120720-025957
external_id:
isi:
- '000915418100023'
file:
- access_level: open_access
checksum: f99ef30f76cabc9e5e1946b380c16db4
content_type: application/pdf
creator: dernst
date_created: 2023-02-27T09:35:52Z
date_updated: 2023-02-27T09:35:52Z
file_id: '12691'
file_name: 2023_AnnReviewFluidMech_Avila.pdf
file_size: 4769537
relation: main_file
success: 1
file_date_updated: 2023-02-27T09:35:52Z
has_accepted_license: '1'
intvolume: ' 55'
isi: 1
language:
- iso: eng
month: '01'
oa: 1
oa_version: Published Version
page: 575-602
project:
- _id: 238598C6-32DE-11EA-91FC-C7463DDC885E
grant_number: '662960'
name: Revisiting the Turbulence Problem Using Statistical Mechanics
publication: Annual Review of Fluid Mechanics
publication_identifier:
issn:
- 0066-4189
publication_status: published
publisher: Annual Reviews
quality_controlled: '1'
scopus_import: '1'
status: public
title: Transition to turbulence in pipe 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: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 55
year: '2023'
...
---
_id: '14466'
abstract:
- lang: eng
text: The first long-lived turbulent structures observable in planar shear flows
take the form of localized stripes, inclined with respect to the mean flow direction.
The dynamics of these stripes is central to transition, and recent studies proposed
an analogy to directed percolation where the stripes’ proliferation is ultimately
responsible for the turbulence becoming sustained. In the present study we focus
on the internal stripe dynamics as well as on the eventual stripe expansion, and
we compare the underlying mechanisms in pressure- and shear-driven planar flows,
respectively, plane-Poiseuille and plane-Couette flow. Despite the similarities
of the overall laminar–turbulence patterns, the stripe proliferation processes
in the two cases are fundamentally different. Starting from the growth and sustenance
of individual stripes, we find that in plane-Couette flow new streaks are created
stochastically throughout the stripe whereas in plane-Poiseuille flow streak creation
is deterministic and occurs locally at the downstream tip. Because of the up/downstream
symmetry, Couette stripes, in contrast to Poiseuille stripes, have two weak and
two strong laminar turbulent interfaces. These differences in symmetry as well
as in internal growth give rise to two fundamentally different stripe splitting
mechanisms. In plane-Poiseuille flow splitting is connected to the elongational
growth of the original stripe, and it results from a break-off/shedding of the
stripe's tail. In plane-Couette flow splitting follows from a broadening of the
original stripe and a division along the stripe into two slimmer stripes.
acknowledgement: E.M. acknowledges funding from the ISTplus fellowship programme.
G.Y. and B.H. acknowledge a grant from the Simons Foundation (662960, BH).
article_number: A21
article_processing_charge: Yes (via OA deal)
article_type: original
arxiv: 1
author:
- first_name: Elena
full_name: Marensi, Elena
id: 0BE7553A-1004-11EA-B805-18983DDC885E
last_name: Marensi
orcid: 0000-0001-7173-4923
- first_name: Gökhan
full_name: Yalniz, Gökhan
id: 66E74FA2-D8BF-11E9-8249-8DE2E5697425
last_name: Yalniz
orcid: 0000-0002-8490-9312
- first_name: Björn
full_name: Hof, Björn
id: 3A374330-F248-11E8-B48F-1D18A9856A87
last_name: Hof
orcid: 0000-0003-2057-2754
citation:
ama: Marensi E, Yalniz G, Hof B. Dynamics and proliferation of turbulent stripes
in plane-Poiseuille and plane-Couette flows. Journal of Fluid Mechanics.
2023;974. doi:10.1017/jfm.2023.780
apa: Marensi, E., Yalniz, G., & Hof, B. (2023). Dynamics and proliferation of
turbulent stripes in plane-Poiseuille and plane-Couette flows. Journal of Fluid
Mechanics. Cambridge University Press. https://doi.org/10.1017/jfm.2023.780
chicago: Marensi, Elena, Gökhan Yalniz, and Björn Hof. “Dynamics and Proliferation
of Turbulent Stripes in Plane-Poiseuille and Plane-Couette Flows.” Journal
of Fluid Mechanics. Cambridge University Press, 2023. https://doi.org/10.1017/jfm.2023.780.
ieee: E. Marensi, G. Yalniz, and B. Hof, “Dynamics and proliferation of turbulent
stripes in plane-Poiseuille and plane-Couette flows,” Journal of Fluid Mechanics,
vol. 974. Cambridge University Press, 2023.
ista: Marensi E, Yalniz G, Hof B. 2023. Dynamics and proliferation of turbulent
stripes in plane-Poiseuille and plane-Couette flows. Journal of Fluid Mechanics.
974, A21.
mla: Marensi, Elena, et al. “Dynamics and Proliferation of Turbulent Stripes in
Plane-Poiseuille and Plane-Couette Flows.” Journal of Fluid Mechanics,
vol. 974, A21, Cambridge University Press, 2023, doi:10.1017/jfm.2023.780.
short: E. Marensi, G. Yalniz, B. Hof, Journal of Fluid Mechanics 974 (2023).
corr_author: '1'
date_created: 2023-10-30T09:32:28Z
date_published: 2023-11-10T00:00:00Z
date_updated: 2026-04-07T11:47:05Z
day: '10'
ddc:
- '530'
department:
- _id: GradSch
- _id: BjHo
doi: 10.1017/jfm.2023.780
external_id:
arxiv:
- '2212.12406'
isi:
- '001088363700001'
file:
- access_level: open_access
checksum: 17c64c1fb0d5f73252364bf98b0b9e1a
content_type: application/pdf
creator: dernst
date_created: 2024-02-15T09:05:21Z
date_updated: 2024-02-15T09:05:21Z
file_id: '14996'
file_name: 2023_JourFluidMechanics_Marensi.pdf
file_size: 2804641
relation: main_file
success: 1
file_date_updated: 2024-02-15T09:05:21Z
has_accepted_license: '1'
intvolume: ' 974'
isi: 1
keyword:
- turbulence
- transition to turbulence
- patterns
language:
- iso: eng
month: '11'
oa: 1
oa_version: Published Version
project:
- _id: 238598C6-32DE-11EA-91FC-C7463DDC885E
grant_number: '662960'
name: Revisiting the Turbulence Problem Using Statistical Mechanics
publication: Journal of Fluid Mechanics
publication_identifier:
eissn:
- 1469-7645
issn:
- 0022-1120
publication_status: published
publisher: Cambridge University Press
quality_controlled: '1'
related_material:
record:
- id: '19684'
relation: dissertation_contains
status: public
scopus_import: '1'
status: public
title: Dynamics and proliferation of turbulent stripes in plane-Poiseuille and plane-Couette
flows
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: 974
year: '2023'
...
---
_id: '12105'
abstract:
- lang: eng
text: Data-driven dimensionality reduction methods such as proper orthogonal decomposition
and dynamic mode decomposition have proven to be useful for exploring complex
phenomena within fluid dynamics and beyond. A well-known challenge for these techniques
is posed by the continuous symmetries, e.g. translations and rotations, of the
system under consideration, as drifts in the data dominate the modal expansions
without providing an insight into the dynamics of the problem. In the present
study, we address this issue for fluid flows in rectangular channels by formulating
a continuous symmetry reduction method that eliminates the translations in the
streamwise and spanwise directions simultaneously. We demonstrate our method by
computing the symmetry-reduced dynamic mode decomposition (SRDMD) of sliding windows
of data obtained from the transitional plane-Couette and turbulent plane-Poiseuille
flow simulations. In the former setting, SRDMD captures the dynamics in the vicinity
of the invariant solutions with translation symmetries, i.e. travelling waves
and relative periodic orbits, whereas in the latter, our calculations reveal episodes
of turbulent time evolution that can be approximated by a low-dimensional linear
expansion.
acknowledgement: "E.M. acknowledges funding from the ISTplus fellowship programme.
G.Y. and B.H. acknowledge\r\na grant from the Simons Foundation (662960, BH)."
article_number: A10
article_processing_charge: Yes (via OA deal)
article_type: original
arxiv: 1
author:
- first_name: Elena
full_name: Marensi, Elena
id: 0BE7553A-1004-11EA-B805-18983DDC885E
last_name: Marensi
orcid: 0000-0001-7173-4923
- first_name: Gökhan
full_name: Yalniz, Gökhan
id: 66E74FA2-D8BF-11E9-8249-8DE2E5697425
last_name: Yalniz
orcid: 0000-0002-8490-9312
- first_name: Björn
full_name: Hof, Björn
id: 3A374330-F248-11E8-B48F-1D18A9856A87
last_name: Hof
orcid: 0000-0003-2057-2754
- first_name: Nazmi B
full_name: Budanur, Nazmi B
id: 3EA1010E-F248-11E8-B48F-1D18A9856A87
last_name: Budanur
orcid: 0000-0003-0423-5010
citation:
ama: Marensi E, Yalniz G, Hof B, Budanur NB. Symmetry-reduced dynamic mode decomposition
of near-wall turbulence. Journal of Fluid Mechanics. 2023;954. doi:10.1017/jfm.2022.1001
apa: Marensi, E., Yalniz, G., Hof, B., & Budanur, N. B. (2023). Symmetry-reduced
dynamic mode decomposition of near-wall turbulence. Journal of Fluid Mechanics.
Cambridge University Press. https://doi.org/10.1017/jfm.2022.1001
chicago: Marensi, Elena, Gökhan Yalniz, Björn Hof, and Nazmi B Budanur. “Symmetry-Reduced
Dynamic Mode Decomposition of near-Wall Turbulence.” Journal of Fluid Mechanics.
Cambridge University Press, 2023. https://doi.org/10.1017/jfm.2022.1001.
ieee: E. Marensi, G. Yalniz, B. Hof, and N. B. Budanur, “Symmetry-reduced dynamic
mode decomposition of near-wall turbulence,” Journal of Fluid Mechanics,
vol. 954. Cambridge University Press, 2023.
ista: Marensi E, Yalniz G, Hof B, Budanur NB. 2023. Symmetry-reduced dynamic mode
decomposition of near-wall turbulence. Journal of Fluid Mechanics. 954, A10.
mla: Marensi, Elena, et al. “Symmetry-Reduced Dynamic Mode Decomposition of near-Wall
Turbulence.” Journal of Fluid Mechanics, vol. 954, A10, Cambridge University
Press, 2023, doi:10.1017/jfm.2022.1001.
short: E. Marensi, G. Yalniz, B. Hof, N.B. Budanur, Journal of Fluid Mechanics 954
(2023).
corr_author: '1'
date_created: 2023-01-08T23:00:53Z
date_published: 2023-01-10T00:00:00Z
date_updated: 2026-04-07T11:47:05Z
day: '10'
ddc:
- '530'
department:
- _id: BjHo
doi: 10.1017/jfm.2022.1001
external_id:
arxiv:
- '2101.07516'
isi:
- '000903336600001'
file:
- access_level: open_access
checksum: 9224f987caefe5dd85a70814d3cce65c
content_type: application/pdf
creator: dernst
date_created: 2023-02-02T12:34:54Z
date_updated: 2023-02-02T12:34:54Z
file_id: '12489'
file_name: 2023_JourFluidMechanics_Marensi.pdf
file_size: 1931647
relation: main_file
success: 1
file_date_updated: 2023-02-02T12:34:54Z
has_accepted_license: '1'
intvolume: ' 954'
isi: 1
language:
- iso: eng
month: '01'
oa: 1
oa_version: Published Version
project:
- _id: 238598C6-32DE-11EA-91FC-C7463DDC885E
grant_number: '662960'
name: Revisiting the Turbulence Problem Using Statistical Mechanics
publication: Journal of Fluid Mechanics
publication_identifier:
eissn:
- 1469-7645
issn:
- 0022-1120
publication_status: published
publisher: Cambridge University Press
quality_controlled: '1'
related_material:
record:
- id: '19684'
relation: dissertation_contains
status: public
scopus_import: '1'
status: public
title: Symmetry-reduced dynamic mode decomposition of near-wall turbulence
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: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 954
year: '2023'
...
---
_id: '13274'
abstract:
- lang: eng
text: Viscous flows through pipes and channels are steady and ordered until, with
increasing velocity, the laminar motion catastrophically breaks down and gives
way to turbulence. How this apparently discontinuous change from low- to high-dimensional
motion can be rationalized within the framework of the Navier-Stokes equations
is not well understood. Exploiting geometrical properties of transitional channel
flow we trace turbulence to far lower Reynolds numbers (Re) than previously possible
and identify the complete path that reversibly links fully turbulent motion to
an invariant solution. This precursor of turbulence destabilizes rapidly with
Re, and the accompanying explosive increase in attractor dimension effectively
marks the transition between deterministic and de facto stochastic dynamics.
acknowledgement: We thank Baofang Song as well as the developers of Channelflow for
sharing their numerical codes, and Mukund Vasudevan and Holger Kantz for fruitful
discussions. This work was supported by a grant from the Simons Foundation (662960,
B. H.).
article_number: '034002'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Chaitanya S
full_name: Paranjape, Chaitanya S
id: 3D85B7C4-F248-11E8-B48F-1D18A9856A87
last_name: Paranjape
- first_name: Gökhan
full_name: Yalniz, Gökhan
id: 66E74FA2-D8BF-11E9-8249-8DE2E5697425
last_name: Yalniz
orcid: 0000-0002-8490-9312
- first_name: Yohann
full_name: Duguet, Yohann
last_name: Duguet
- first_name: Nazmi B
full_name: Budanur, Nazmi B
id: 3EA1010E-F248-11E8-B48F-1D18A9856A87
last_name: Budanur
orcid: 0000-0003-0423-5010
- first_name: Björn
full_name: Hof, Björn
id: 3A374330-F248-11E8-B48F-1D18A9856A87
last_name: Hof
orcid: 0000-0003-2057-2754
citation:
ama: Paranjape CS, Yalniz G, Duguet Y, Budanur NB, Hof B. Direct path from turbulence
to time-periodic solutions. Physical Review Letters. 2023;131(3). doi:10.1103/physrevlett.131.034002
apa: Paranjape, C. S., Yalniz, G., Duguet, Y., Budanur, N. B., & Hof, B. (2023).
Direct path from turbulence to time-periodic solutions. Physical Review Letters.
American Physical Society. https://doi.org/10.1103/physrevlett.131.034002
chicago: Paranjape, Chaitanya S, Gökhan Yalniz, Yohann Duguet, Nazmi B Budanur,
and Björn Hof. “Direct Path from Turbulence to Time-Periodic Solutions.” Physical
Review Letters. American Physical Society, 2023. https://doi.org/10.1103/physrevlett.131.034002.
ieee: C. S. Paranjape, G. Yalniz, Y. Duguet, N. B. Budanur, and B. Hof, “Direct
path from turbulence to time-periodic solutions,” Physical Review Letters,
vol. 131, no. 3. American Physical Society, 2023.
ista: Paranjape CS, Yalniz G, Duguet Y, Budanur NB, Hof B. 2023. Direct path from
turbulence to time-periodic solutions. Physical Review Letters. 131(3), 034002.
mla: Paranjape, Chaitanya S., et al. “Direct Path from Turbulence to Time-Periodic
Solutions.” Physical Review Letters, vol. 131, no. 3, 034002, American
Physical Society, 2023, doi:10.1103/physrevlett.131.034002.
short: C.S. Paranjape, G. Yalniz, Y. Duguet, N.B. Budanur, B. Hof, Physical Review
Letters 131 (2023).
corr_author: '1'
date_created: 2023-07-24T09:43:59Z
date_published: 2023-07-21T00:00:00Z
date_updated: 2026-04-07T11:47:05Z
day: '21'
department:
- _id: GradSch
- _id: BjHo
doi: 10.1103/physrevlett.131.034002
external_id:
arxiv:
- '2306.05098'
isi:
- '001052929900004'
pmid:
- '37540883'
intvolume: ' 131'
isi: 1
issue: '3'
keyword:
- General Physics and Astronomy
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.48550/arXiv.2306.05098
month: '07'
oa: 1
oa_version: Preprint
pmid: 1
project:
- _id: 238598C6-32DE-11EA-91FC-C7463DDC885E
grant_number: '662960'
name: Revisiting the Turbulence Problem Using Statistical Mechanics
publication: Physical Review Letters
publication_identifier:
eissn:
- 1079-7114
issn:
- 0031-9007
publication_status: published
publisher: American Physical Society
quality_controlled: '1'
related_material:
record:
- id: '19684'
relation: dissertation_contains
status: public
scopus_import: '1'
status: public
title: Direct path from turbulence to time-periodic solutions
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 131
year: '2023'
...
---
_id: '10654'
abstract:
- lang: eng
text: "Directed percolation (DP) has recently emerged as a possible solution to
the century old puzzle surrounding the transition to turbulence. Multiple model
studies reported DP exponents, however, experimental evidence is limited since
the largest possible observation times are orders of magnitude shorter than the
flows’ characteristic timescales. An exception is cylindrical Couette flow where
the limit is not temporal, but rather the realizable system size. We present experiments
in a Couette setup of unprecedented azimuthal and axial aspect ratios. Approaching
the critical point to within less than 0.1% we determine five critical exponents,
all of which are in excellent agreement with the 2+1D DP universality class. The
complex dynamics encountered at \r\nthe onset of turbulence can hence be fully
rationalized within the framework of statistical mechanics."
acknowledged_ssus:
- _id: M-Shop
acknowledgement: "We thank T.Menner, T.Asenov, P. Maier and the Miba machine shop
of IST Austria for their valuable support in all technical aspects. We thank Marc
Avila for comments on the manuscript. This work was supported by a grant from the
Simons Foundation (662960, B.H.). We acknowledge the European Research Council under
the European Union’s Seventh Framework Programme (FP/2007-2013)/ERC Grant Agreement
306589 for financial support. K.A.\r\nacknowledges funding from the Central Research
Development Fund of the University of Bremen, grant number ZF04B /2019/FB04 Avila
Kerstin (”Independent Project for Postdocs”). L.K. was supported by the European
Union’s Horizon 2020 Research and innovation programme under the Marie Sklodowska-Curie
grant agreement No. 754411.\r\n"
article_number: '014502'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Lukasz
full_name: Klotz, Lukasz
id: 2C9AF1C2-F248-11E8-B48F-1D18A9856A87
last_name: Klotz
orcid: 0000-0003-1740-7635
- first_name: Grégoire M
full_name: Lemoult, Grégoire M
id: 4787FE80-F248-11E8-B48F-1D18A9856A87
last_name: Lemoult
- first_name: Kerstin
full_name: Avila, Kerstin
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: Klotz L, Lemoult GM, Avila K, Hof B. Phase transition to turbulence in spatially
extended shear flows. Physical Review Letters. 2022;128(1). doi:10.1103/PhysRevLett.128.014502
apa: Klotz, L., Lemoult, G. M., Avila, K., & Hof, B. (2022). Phase transition
to turbulence in spatially extended shear flows. Physical Review Letters.
American Physical Society. https://doi.org/10.1103/PhysRevLett.128.014502
chicago: Klotz, Lukasz, Grégoire M Lemoult, Kerstin Avila, and Björn Hof. “Phase
Transition to Turbulence in Spatially Extended Shear Flows.” Physical Review
Letters. American Physical Society, 2022. https://doi.org/10.1103/PhysRevLett.128.014502.
ieee: L. Klotz, G. M. Lemoult, K. Avila, and B. Hof, “Phase transition to turbulence
in spatially extended shear flows,” Physical Review Letters, vol. 128,
no. 1. American Physical Society, 2022.
ista: Klotz L, Lemoult GM, Avila K, Hof B. 2022. Phase transition to turbulence
in spatially extended shear flows. Physical Review Letters. 128(1), 014502.
mla: Klotz, Lukasz, et al. “Phase Transition to Turbulence in Spatially Extended
Shear Flows.” Physical Review Letters, vol. 128, no. 1, 014502, American
Physical Society, 2022, doi:10.1103/PhysRevLett.128.014502.
short: L. Klotz, G.M. Lemoult, K. Avila, B. Hof, Physical Review Letters 128 (2022).
corr_author: '1'
date_created: 2022-01-23T23:01:28Z
date_published: 2022-01-05T00:00:00Z
date_updated: 2024-10-22T11:08:41Z
day: '05'
department:
- _id: BjHo
doi: 10.1103/PhysRevLett.128.014502
ec_funded: 1
external_id:
arxiv:
- '2111.14894'
isi:
- '000748271700010'
pmid:
- '35061458'
intvolume: ' 128'
isi: 1
issue: '1'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/2111.14894
month: '01'
oa: 1
oa_version: Preprint
pmid: 1
project:
- _id: 260C2330-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '754411'
name: ISTplus - Postdoctoral Fellowships
- _id: 25152F3A-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '306589'
name: Decoding the complexity of turbulence at its origin
- _id: 238598C6-32DE-11EA-91FC-C7463DDC885E
grant_number: '662960'
name: Revisiting the Turbulence Problem Using Statistical Mechanics
publication: Physical Review Letters
publication_identifier:
eissn:
- 1079-7114
issn:
- 0031-9007
publication_status: published
publisher: American Physical Society
quality_controlled: '1'
scopus_import: '1'
status: public
title: Phase transition to turbulence in spatially extended shear flows
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 128
year: '2022'
...
---
_id: '9558'
abstract:
- lang: eng
text: "We show that turbulent dynamics that arise in simulations of the three-dimensional
Navier--Stokes equations in a triply-periodic domain under sinusoidal forcing
can be described as transient visits to the neighborhoods of unstable time-periodic
solutions. Based on this description, we reduce the original system with more
than 10^5 degrees of freedom to a 17-node Markov chain where each node corresponds
to the neighborhood of a periodic orbit. The model accurately reproduces long-term
averages of the system's observables as weighted sums over the periodic orbits.\r\n"
acknowledged_ssus:
- _id: ScienComp
acknowledgement: "We thank the referees for improving this Letter with their comments.
We acknowledge stimulating discussions with\r\nH. Edelsbrunner. This work was supported
by Grant No. 662960 from the Simons Foundation (B. H.). The numerical calculations
were performed at TUBITAK ULAKBIM High Performance and Grid Computing Center (TRUBA
resources) and IST Austria High Performance Computing cluster."
article_number: '244502'
article_processing_charge: No
article_type: letter_note
arxiv: 1
author:
- first_name: Gökhan
full_name: Yalniz, Gökhan
id: 66E74FA2-D8BF-11E9-8249-8DE2E5697425
last_name: Yalniz
orcid: 0000-0002-8490-9312
- first_name: Björn
full_name: Hof, Björn
id: 3A374330-F248-11E8-B48F-1D18A9856A87
last_name: Hof
orcid: 0000-0003-2057-2754
- first_name: Nazmi B
full_name: Budanur, Nazmi B
id: 3EA1010E-F248-11E8-B48F-1D18A9856A87
last_name: Budanur
orcid: 0000-0003-0423-5010
citation:
ama: Yalniz G, Hof B, Budanur NB. Coarse graining the state space of a turbulent
flow using periodic orbits. Physical Review Letters. 2021;126(24). doi:10.1103/PhysRevLett.126.244502
apa: Yalniz, G., Hof, B., & Budanur, N. B. (2021). Coarse graining the state
space of a turbulent flow using periodic orbits. Physical Review Letters.
American Physical Society. https://doi.org/10.1103/PhysRevLett.126.244502
chicago: Yalniz, Gökhan, Björn Hof, and Nazmi B Budanur. “Coarse Graining the State
Space of a Turbulent Flow Using Periodic Orbits.” Physical Review Letters.
American Physical Society, 2021. https://doi.org/10.1103/PhysRevLett.126.244502.
ieee: G. Yalniz, B. Hof, and N. B. Budanur, “Coarse graining the state space of
a turbulent flow using periodic orbits,” Physical Review Letters, vol.
126, no. 24. American Physical Society, 2021.
ista: Yalniz G, Hof B, Budanur NB. 2021. Coarse graining the state space of a turbulent
flow using periodic orbits. Physical Review Letters. 126(24), 244502.
mla: Yalniz, Gökhan, et al. “Coarse Graining the State Space of a Turbulent Flow
Using Periodic Orbits.” Physical Review Letters, vol. 126, no. 24, 244502,
American Physical Society, 2021, doi:10.1103/PhysRevLett.126.244502.
short: G. Yalniz, B. Hof, N.B. Budanur, Physical Review Letters 126 (2021).
corr_author: '1'
date_created: 2021-06-16T15:45:36Z
date_published: 2021-06-18T00:00:00Z
date_updated: 2026-04-07T11:47:05Z
day: '18'
department:
- _id: GradSch
- _id: BjHo
doi: 10.1103/PhysRevLett.126.244502
external_id:
arxiv:
- '2007.02584'
isi:
- '000663310100008'
intvolume: ' 126'
isi: 1
issue: '24'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/2007.02584
month: '06'
oa: 1
oa_version: Preprint
project:
- _id: 238598C6-32DE-11EA-91FC-C7463DDC885E
grant_number: '662960'
name: Revisiting the Turbulence Problem Using Statistical Mechanics
publication: Physical Review Letters
publication_identifier:
eissn:
- 1079-7114
issn:
- 0031-9007
publication_status: published
publisher: American Physical Society
quality_controlled: '1'
related_material:
link:
- description: News on IST Homepage
relation: press_release
url: https://ist.ac.at/en/news/turbulent-flow-simplified/
record:
- id: '19591'
relation: popular_science
status: returned
- id: '19684'
relation: dissertation_contains
status: public
scopus_import: '1'
status: public
title: Coarse graining the state space of a turbulent flow using periodic orbits
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 126
year: '2021'
...