---
_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. <i>Nature</i>. 2023;621(7977):71-74.
    doi:<a href="https://doi.org/10.1038/s41586-023-06399-5">10.1038/s41586-023-06399-5</a>
  apa: Scarselli, D., Lopez Alonso, J. M., Varshney, A., &#38; Hof, B. (2023). Turbulence
    suppression by cardiac-cycle-inspired driving of pipe flow. <i>Nature</i>. Springer
    Nature. <a href="https://doi.org/10.1038/s41586-023-06399-5">https://doi.org/10.1038/s41586-023-06399-5</a>
  chicago: Scarselli, Davide, Jose M Lopez Alonso, Atul Varshney, and Björn Hof. “Turbulence
    Suppression by Cardiac-Cycle-Inspired Driving of Pipe Flow.” <i>Nature</i>. Springer
    Nature, 2023. <a href="https://doi.org/10.1038/s41586-023-06399-5">https://doi.org/10.1038/s41586-023-06399-5</a>.
  ieee: D. Scarselli, J. M. Lopez Alonso, A. Varshney, and B. Hof, “Turbulence suppression
    by cardiac-cycle-inspired driving of pipe flow,” <i>Nature</i>, 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.” <i>Nature</i>, vol. 621, no. 7977, Springer Nature, 2023,
    pp. 71–74, doi:<a href="https://doi.org/10.1038/s41586-023-06399-5">10.1038/s41586-023-06399-5</a>.
  short: D. Scarselli, J.M. Lopez Alonso, A. Varshney, B. Hof, Nature 621 (2023) 71–74.
date_created: 2023-09-17T22:01:09Z
date_published: 2023-09-07T00:00:00Z
date_updated: 2023-09-20T12:10:22Z
day: '07'
department:
- _id: BjHo
doi: 10.1038/s41586-023-06399-5
external_id:
  pmid:
  - '37673988'
intvolume: '       621'
issue: '7977'
language:
- iso: eng
month: '09'
oa_version: None
page: 71-74
pmid: 1
project:
- _id: 238598C6-32DE-11EA-91FC-C7463DDC885E
  grant_number: '662960'
  name: 'Revisiting the Turbulence Problem Using Statistical Mechanics: Experimental
    Studies on Transitional and Turbulent Flows'
- _id: 238B8092-32DE-11EA-91FC-C7463DDC885E
  call_identifier: FWF
  grant_number: I04188
  name: Instabilities in pulsating pipe flow of Newtonian and 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: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 621
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. <i>Journal of Fluid Mechanics</i>.
    2023;974. doi:<a href="https://doi.org/10.1017/jfm.2023.780">10.1017/jfm.2023.780</a>
  apa: Marensi, E., Yalniz, G., &#38; Hof, B. (2023). Dynamics and proliferation of
    turbulent stripes in plane-Poiseuille and plane-Couette flows. <i>Journal of Fluid
    Mechanics</i>. Cambridge University Press. <a href="https://doi.org/10.1017/jfm.2023.780">https://doi.org/10.1017/jfm.2023.780</a>
  chicago: Marensi, Elena, Gökhan Yalniz, and Björn Hof. “Dynamics and Proliferation
    of Turbulent Stripes in Plane-Poiseuille and Plane-Couette Flows.” <i>Journal
    of Fluid Mechanics</i>. Cambridge University Press, 2023. <a href="https://doi.org/10.1017/jfm.2023.780">https://doi.org/10.1017/jfm.2023.780</a>.
  ieee: E. Marensi, G. Yalniz, and B. Hof, “Dynamics and proliferation of turbulent
    stripes in plane-Poiseuille and plane-Couette flows,” <i>Journal of Fluid Mechanics</i>,
    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.” <i>Journal of Fluid Mechanics</i>,
    vol. 974, A21, Cambridge University Press, 2023, doi:<a href="https://doi.org/10.1017/jfm.2023.780">10.1017/jfm.2023.780</a>.
  short: E. Marensi, G. Yalniz, B. Hof, Journal of Fluid Mechanics 974 (2023).
date_created: 2023-10-30T09:32:28Z
date_published: 2023-11-10T00:00:00Z
date_updated: 2024-02-15T09:06:23Z
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: Experimental
    Studies on Transitional and Turbulent Flows'
publication: Journal of Fluid Mechanics
publication_identifier:
  eissn:
  - 1469-7645
  issn:
  - 0022-1120
publication_status: published
publisher: Cambridge University Press
quality_controlled: '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: '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. <i>Physical Review Letters</i>. 2023;131(3). doi:<a
    href="https://doi.org/10.1103/physrevlett.131.034002">10.1103/physrevlett.131.034002</a>
  apa: Paranjape, C. S., Yalniz, G., Duguet, Y., Budanur, N. B., &#38; Hof, B. (2023).
    Direct path from turbulence to time-periodic solutions. <i>Physical Review Letters</i>.
    American Physical Society. <a href="https://doi.org/10.1103/physrevlett.131.034002">https://doi.org/10.1103/physrevlett.131.034002</a>
  chicago: Paranjape, Chaitanya S, Gökhan Yalniz, Yohann Duguet, Nazmi B Budanur,
    and Björn Hof. “Direct Path from Turbulence to Time-Periodic Solutions.” <i>Physical
    Review Letters</i>. American Physical Society, 2023. <a href="https://doi.org/10.1103/physrevlett.131.034002">https://doi.org/10.1103/physrevlett.131.034002</a>.
  ieee: C. S. Paranjape, G. Yalniz, Y. Duguet, N. B. Budanur, and B. Hof, “Direct
    path from turbulence to time-periodic solutions,” <i>Physical Review Letters</i>,
    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.” <i>Physical Review Letters</i>, vol. 131, no. 3, 034002, American
    Physical Society, 2023, doi:<a href="https://doi.org/10.1103/physrevlett.131.034002">10.1103/physrevlett.131.034002</a>.
  short: C.S. Paranjape, G. Yalniz, Y. Duguet, N.B. Budanur, B. Hof, Physical Review
    Letters 131 (2023).
date_created: 2023-07-24T09:43:59Z
date_published: 2023-07-21T00:00:00Z
date_updated: 2023-12-13T11:40:19Z
day: '21'
department:
- _id: GradSch
- _id: BjHo
doi: 10.1103/physrevlett.131.034002
external_id:
  arxiv:
  - '2306.05098'
  isi:
  - '001052929900004'
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
project:
- _id: 238598C6-32DE-11EA-91FC-C7463DDC885E
  grant_number: '662960'
  name: 'Revisiting the Turbulence Problem Using Statistical Mechanics: Experimental
    Studies on Transitional and Turbulent Flows'
publication: Physical Review Letters
publication_identifier:
  eissn:
  - 1079-7114
  issn:
  - 0031-9007
publication_status: published
publisher: American Physical Society
quality_controlled: '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: '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
- 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. <i>Journal of Fluid Mechanics</i>. 2023;954. doi:<a href="https://doi.org/10.1017/jfm.2022.1001">10.1017/jfm.2022.1001</a>
  apa: Marensi, E., Yalniz, G., Hof, B., &#38; Budanur, N. B. (2023). Symmetry-reduced
    dynamic mode decomposition of near-wall turbulence. <i>Journal of Fluid Mechanics</i>.
    Cambridge University Press. <a href="https://doi.org/10.1017/jfm.2022.1001">https://doi.org/10.1017/jfm.2022.1001</a>
  chicago: Marensi, Elena, Gökhan Yalniz, Björn Hof, and Nazmi B Budanur. “Symmetry-Reduced
    Dynamic Mode Decomposition of near-Wall Turbulence.” <i>Journal of Fluid Mechanics</i>.
    Cambridge University Press, 2023. <a href="https://doi.org/10.1017/jfm.2022.1001">https://doi.org/10.1017/jfm.2022.1001</a>.
  ieee: E. Marensi, G. Yalniz, B. Hof, and N. B. Budanur, “Symmetry-reduced dynamic
    mode decomposition of near-wall turbulence,” <i>Journal of Fluid Mechanics</i>,
    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.” <i>Journal of Fluid Mechanics</i>, vol. 954, A10, Cambridge University
    Press, 2023, doi:<a href="https://doi.org/10.1017/jfm.2022.1001">10.1017/jfm.2022.1001</a>.
  short: E. Marensi, G. Yalniz, B. Hof, N.B. Budanur, Journal of Fluid Mechanics 954
    (2023).
date_created: 2023-01-08T23:00:53Z
date_published: 2023-01-10T00:00:00Z
date_updated: 2023-08-01T12:53:23Z
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: Experimental
    Studies on Transitional and Turbulent Flows'
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: 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: '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. <i>Annual
    Review of Fluid Mechanics</i>. 2023;55:575-602. doi:<a href="https://doi.org/10.1146/annurev-fluid-120720-025957">10.1146/annurev-fluid-120720-025957</a>
  apa: Avila, M., Barkley, D., &#38; Hof, B. (2023). Transition to turbulence in pipe
    flow. <i>Annual Review of Fluid Mechanics</i>. Annual Reviews. <a href="https://doi.org/10.1146/annurev-fluid-120720-025957">https://doi.org/10.1146/annurev-fluid-120720-025957</a>
  chicago: Avila, Marc, Dwight Barkley, and Björn Hof. “Transition to Turbulence in
    Pipe Flow.” <i>Annual Review of Fluid Mechanics</i>. Annual Reviews, 2023. <a
    href="https://doi.org/10.1146/annurev-fluid-120720-025957">https://doi.org/10.1146/annurev-fluid-120720-025957</a>.
  ieee: M. Avila, D. Barkley, and B. Hof, “Transition to turbulence in pipe flow,”
    <i>Annual Review of Fluid Mechanics</i>, 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.” <i>Annual Review
    of Fluid Mechanics</i>, vol. 55, Annual Reviews, 2023, pp. 575–602, doi:<a href="https://doi.org/10.1146/annurev-fluid-120720-025957">10.1146/annurev-fluid-120720-025957</a>.
  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: 2023-08-01T13:20:30Z
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
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  creator: dernst
  date_created: 2023-02-27T09:35:52Z
  date_updated: 2023-02-27T09:35:52Z
  file_id: '12691'
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  file_size: 4769537
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  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: Experimental
    Studies on Transitional and Turbulent Flows'
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: '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. <i>Physical Review Letters</i>. 2022;128(1). doi:<a href="https://doi.org/10.1103/PhysRevLett.128.014502">10.1103/PhysRevLett.128.014502</a>
  apa: Klotz, L., Lemoult, G. M., Avila, K., &#38; Hof, B. (2022). Phase transition
    to turbulence in spatially extended shear flows. <i>Physical Review Letters</i>.
    American Physical Society. <a href="https://doi.org/10.1103/PhysRevLett.128.014502">https://doi.org/10.1103/PhysRevLett.128.014502</a>
  chicago: Klotz, Lukasz, Grégoire M Lemoult, Kerstin Avila, and Björn Hof. “Phase
    Transition to Turbulence in Spatially Extended Shear Flows.” <i>Physical Review
    Letters</i>. American Physical Society, 2022. <a href="https://doi.org/10.1103/PhysRevLett.128.014502">https://doi.org/10.1103/PhysRevLett.128.014502</a>.
  ieee: L. Klotz, G. M. Lemoult, K. Avila, and B. Hof, “Phase transition to turbulence
    in spatially extended shear flows,” <i>Physical Review Letters</i>, 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.” <i>Physical Review Letters</i>, vol. 128, no. 1, 014502, American
    Physical Society, 2022, doi:<a href="https://doi.org/10.1103/PhysRevLett.128.014502">10.1103/PhysRevLett.128.014502</a>.
  short: L. Klotz, G.M. Lemoult, K. Avila, B. Hof, Physical Review Letters 128 (2022).
date_created: 2022-01-23T23:01:28Z
date_published: 2022-01-05T00:00:00Z
date_updated: 2023-08-02T13:59:19Z
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: Experimental
    Studies on Transitional and Turbulent Flows'
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. <i>Physical Review Letters</i>. 2021;126(24). doi:<a
    href="https://doi.org/10.1103/PhysRevLett.126.244502">10.1103/PhysRevLett.126.244502</a>
  apa: Yalniz, G., Hof, B., &#38; Budanur, N. B. (2021). Coarse graining the state
    space of a turbulent flow using periodic orbits. <i>Physical Review Letters</i>.
    American Physical Society. <a href="https://doi.org/10.1103/PhysRevLett.126.244502">https://doi.org/10.1103/PhysRevLett.126.244502</a>
  chicago: Yalniz, Gökhan, Björn Hof, and Nazmi B Budanur. “Coarse Graining the State
    Space of a Turbulent Flow Using Periodic Orbits.” <i>Physical Review Letters</i>.
    American Physical Society, 2021. <a href="https://doi.org/10.1103/PhysRevLett.126.244502">https://doi.org/10.1103/PhysRevLett.126.244502</a>.
  ieee: G. Yalniz, B. Hof, and N. B. Budanur, “Coarse graining the state space of
    a turbulent flow using periodic orbits,” <i>Physical Review Letters</i>, 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.” <i>Physical Review Letters</i>, vol. 126, no. 24, 244502,
    American Physical Society, 2021, doi:<a href="https://doi.org/10.1103/PhysRevLett.126.244502">10.1103/PhysRevLett.126.244502</a>.
  short: G. Yalniz, B. Hof, N.B. Budanur, Physical Review Letters 126 (2021).
date_created: 2021-06-16T15:45:36Z
date_published: 2021-06-18T00:00:00Z
date_updated: 2023-08-08T14:08:36Z
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: Experimental
    Studies on Transitional and Turbulent Flows'
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/
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'
...
