---
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. <i>Nature Physics</i>. 2026. doi:<a href="https://doi.org/10.1038/s41567-025-03166-3">10.1038/s41567-025-03166-3</a>
  apa: Yang, B., Zhuang, Y., Yalniz, G., Vasudevan, M., Marensi, E., &#38; Hof, B.
    (2026). Discontinuous transition to shear flow turbulence. <i>Nature Physics</i>.
    Springer Nature. <a href="https://doi.org/10.1038/s41567-025-03166-3">https://doi.org/10.1038/s41567-025-03166-3</a>
  chicago: Yang, Bowen, Yi Zhuang, Gökhan Yalniz, Mukund Vasudevan, Elena Marensi,
    and Björn Hof. “Discontinuous Transition to Shear Flow Turbulence.” <i>Nature
    Physics</i>. Springer Nature, 2026. <a href="https://doi.org/10.1038/s41567-025-03166-3">https://doi.org/10.1038/s41567-025-03166-3</a>.
  ieee: B. Yang, Y. Zhuang, G. Yalniz, M. Vasudevan, E. Marensi, and B. Hof, “Discontinuous
    transition to shear flow turbulence,” <i>Nature Physics</i>. 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.” <i>Nature
    Physics</i>, Springer Nature, 2026, doi:<a href="https://doi.org/10.1038/s41567-025-03166-3">10.1038/s41567-025-03166-3</a>.
  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'
...
---
_id: '10925'
abstract:
- lang: eng
  text: Direct numerical simulations (DNS) of turbulent channel flows up to  Reτ≈1000  are
    conducted to investigate the three-dimensional (consisting of streamwise wavenumber,
    spanwise wavenumber and frequency) spectrum of wall pressure fluctuations. To
    develop a predictive model of the wavenumber–frequency spectrum from the wavenumber
    spectrum, the time decorrelation mechanisms of wall pressure fluctuations are
    investigated. It is discovered that the energy-containing part of the wavenumber–frequency
    spectrum of wall pressure fluctuations can be well predicted using a similar random
    sweeping model for streamwise velocity fluctuations. To refine the investigation,
    we further decompose the spectrum of the total wall pressure fluctuations into
    the autospectra of rapid and slow pressure fluctuations, and the cross-spectrum
    between them. We focus on evaluating the assumption applied in many predictive
    models, that is, the magnitude of the cross-spectrum is negligibly small. The
    present DNS shows that neglecting the cross-spectrum causes a maximum error up
    to 4.7 dB in the subconvective region for all Reynolds numbers under test. Our
    analyses indicate that the approximation of neglecting the cross-spectrum needs
    to be applied carefully in the investigations of acoustics at low Mach numbers,
    in which the subconvective components of wall pressure fluctuations make important
    contributions to the radiated acoustic power.
acknowledgement: This research is supported by the NSFC Basic Science Center Program
  for ‘Multiscale Problems in Nonlinear Mechanics’ (no. 11988102), National Key Project
  (GJXM92579) and the Strategic Priority Research Program (XDB22040104).
article_number: A39
article_processing_charge: No
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: Zixuan
  full_name: Yang, Zixuan
  last_name: Yang
citation:
  ama: Yang B, Yang Z. On the wavenumber-frequency spectrum of the wall pressure fluctuations
    in turbulent channel flow. <i>Journal of Fluid Mechanics</i>. 2022;937. doi:<a
    href="https://doi.org/10.1017/jfm.2022.137">10.1017/jfm.2022.137</a>
  apa: Yang, B., &#38; Yang, Z. (2022). On the wavenumber-frequency spectrum of the
    wall pressure fluctuations in turbulent channel flow. <i>Journal of Fluid Mechanics</i>.
    Cambridge University Press. <a href="https://doi.org/10.1017/jfm.2022.137">https://doi.org/10.1017/jfm.2022.137</a>
  chicago: Yang, Bowen, and Zixuan Yang. “On the Wavenumber-Frequency Spectrum of
    the Wall Pressure Fluctuations in Turbulent Channel Flow.” <i>Journal of Fluid
    Mechanics</i>. Cambridge University Press, 2022. <a href="https://doi.org/10.1017/jfm.2022.137">https://doi.org/10.1017/jfm.2022.137</a>.
  ieee: B. Yang and Z. Yang, “On the wavenumber-frequency spectrum of the wall pressure
    fluctuations in turbulent channel flow,” <i>Journal of Fluid Mechanics</i>, vol.
    937. Cambridge University Press, 2022.
  ista: Yang B, Yang Z. 2022. On the wavenumber-frequency spectrum of the wall pressure
    fluctuations in turbulent channel flow. Journal of Fluid Mechanics. 937, A39.
  mla: Yang, Bowen, and Zixuan Yang. “On the Wavenumber-Frequency Spectrum of the
    Wall Pressure Fluctuations in Turbulent Channel Flow.” <i>Journal of Fluid Mechanics</i>,
    vol. 937, A39, Cambridge University Press, 2022, doi:<a href="https://doi.org/10.1017/jfm.2022.137">10.1017/jfm.2022.137</a>.
  short: B. Yang, Z. Yang, Journal of Fluid Mechanics 937 (2022).
date_created: 2022-03-27T22:01:45Z
date_published: 2022-04-25T00:00:00Z
date_updated: 2026-06-18T10:46:00Z
day: '25'
ddc:
- '530'
department:
- _id: GradSch
doi: 10.1017/jfm.2022.137
external_id:
  arxiv:
  - '2201.04702'
  isi:
  - '000763547000001'
intvolume: '       937'
isi: 1
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.1017/jfm.2022.137
month: '04'
oa: 1
oa_version: Published Version
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: On the wavenumber-frequency spectrum of the wall pressure fluctuations in turbulent
  channel flow
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 937
year: '2022'
...