• français
    • English
    français
  • Login
Help
View Item 
  •   Home
  • Dynamique des Fluides (DynFluid)
  • View Item
  • Home
  • Dynamique des Fluides (DynFluid)
  • View Item
JavaScript is disabled for your browser. Some features of this site may not work without it.

Invariant solutions in a channel flow using a minimal restricted nonlinear model

Article dans une revue avec comité de lecture
Author
ALIZARD, Frédéric
134975 Laboratoire de Dynamique des Fluides [DynFluid]

URI
http://hdl.handle.net/10985/18606
DOI
10.1016/j.crme.2016.11.005
Date
2017
Journal
Comptes Rendus Mécanique

Abstract

Simulations using a Restricted Nonlinear (RNL) system, where mean flow distortion resulting from Reynolds stress feedback regenerates rolls, is applied in a channel flow under subcritical conditions. This quasi-linear restriction of the dynamics is used to study invariant solutions located in the bulk of the flow found recently by Rawat et al. (2016) [14]. It is shown that the RNL system truncated to a single streamwise mode for the perturbation supports invariant solutions that are found to bifurcate from a relative periodic orbit into a travelling wave solution when the spanwise size is increasing. In particular, the travelling wave solution exhibits a spanwise localized structure that remains unchanged for large values of the spanwise extent as the invariant solution lying on the lower branch found by Rawat et al. (2016) [14]. In addition, travelling wave solutions provided by this minimal RNL system are self-similar with respect to the Reynolds number based on the centreline velocity, and the half-channel height varying from 2000 to 5000.

Files in this item

Name:
DYNFLUID_CRM_2017_ALIZARD.pdf
Size:
1.357Mb
Format:
PDF
Description:
Article
View/Open

Collections

  • Dynamique des Fluides (DynFluid)

Related items

Showing items related by title, author, creator and subject.

  • Restricted nonlinear model for high- and low-drag events in plane channel flow 
    Article dans une revue avec comité de lecture
    ALIZARD, Frédéric; ccBIAU, Damien (Cambridge University Press (CUP), 2019)
    A restricted nonlinear (RNL) model, obtained by partitioning the state variables into streamwise-averaged quantities and superimposed perturbations, is used in order to track the exact coherent state in plane channel flow ...
  • Space–time dynamics of optimal wavepackets for streaks in a channel entrance flow 
    Article dans une revue avec comité de lecture
    ALIZARD, Frédéric; CADIOU, A.; LE PENVEN, L.; DI PIERRO, B.; BUFFAT, M. (Cambridge University Press (CUP), 2018)
    The laminar–turbulent transition of a plane channel entrance flow is revisited using global linear optimization analyses and direct numerical simulations. The investigated case corresponds to uniform upstream velocity ...
  • Investigation of the dynamics in separated turbulent flow 
    Article dans une revue avec comité de lecture
    FADLA, Fawzi; ALIZARD, Frédéric; KEIRSBULCK, Laurent; LAVAL, Jean-Philippe; FOUCAUT, Jean-Marc; CHOVET, Camila; LIPPERT, Marc; ccROBINET, Jean-Christophe (Elsevier, 2019)
    Dynamical behavior of the turbulent channel flow separation induced by a wall-mounted two-dimensional bump is studied, with an emphasis on unsteadiness characteristics of vortical motions evolving in the separated flow. ...
  • The onset of three-dimensional centrifugal global modes and their nonlinear development in a recirculating flow over a flat surface 
    Article dans une revue avec comité de lecture
    CHERUBINI, Stefania; DE PALMA, Pietro; ALIZARD, Frédéric; ccROBINET, Jean-Christophe (American Institute of Physics, 2010)
    The three-dimensional stability dynamics of a separation bubble over a flat plate has been studied in both linear and nonlinear conditions. Using a global eigenvalue analysis, two centrifugal global modes are identified: ...
  • Sensitivity and optimal forcing response in separated boundary layer flows 
    Article dans une revue avec comité de lecture
    ALIZARD, Frédéric; CHERUBINI, Stefania; ccROBINET, Jean-Christophe (American Institute of Physics, 2009)
    The optimal asymptotic response to time harmonic forcing of a convectively unstable two-dimensional separated boundary layer on a flat plate is numerically revisited from a global point of view. By expanding the flow ...

Browse

All SAMCommunities & CollectionsAuthorsIssue DateCenter / InstitutionThis CollectionAuthorsIssue DateCenter / Institution

Newsletter

Latest newsletterPrevious newsletters

Statistics

Most Popular ItemsStatistics by CountryMost Popular Authors

ÉCOLE NATIONALE SUPERIEURE D'ARTS ET METIERS

  • Contact
  • Mentions légales

ÉCOLE NATIONALE SUPERIEURE D'ARTS ET METIERS

  • Contact
  • Mentions légales