Processing may take a few seconds...

Article


Title

Cluster-based hierarchical network model of the fluidic pinball – cartographing transient and post-transient, multi-frequency, multi-attractor behaviour

Authors

[ 1 ] Instytut Mechaniki Stosowanej, Wydział Inżynierii Mechanicznej, Politechnika Poznańska | [ P ] employee

Scientific discipline (Law 2.0)

[2.8] Mechanical engineering

Year of publication

2022

Published in

Journal of Fluid Mechanics

Journal year: 2022 | Journal volume: vol. 934

Article type

scientific article

Publication language

english

Keywords
EN
  • low-dimensional models
  • wakes
Abstract

EN We propose a self-supervised cluster-based hierarchical reduced-order modelling methodology to model and analyse the complex dynamics arising from a sequence of bifurcations for a two-dimensional incompressible flow of the fluidic pinball. The hierarchy is guided by a triple decomposition separating a slowly varying base flow, dominant shedding and secondary flow structures. All these flow components are kinematically resolved by a hierarchy of clusters. The transition dynamics between these clusters is described by a directed network, called the cluster-based hierarchical network model (HiCNM). Three consecutive Reynolds number regimes for different dynamics are considered: (i) periodic shedding at Re=80, (ii) quasi-periodic shedding at Re=105 and (iii) chaotic shedding at Re=130, involving three unstable fixed points, three limit cycles, two quasi-periodic attractors and a chaotic attractor. The HiCNM enables identification of the dynamics between multiple invariant sets in a self-supervised manner. Both the global trends and the local structures during the transition are well resolved by a moderate number of hierarchical clusters. The proposed HiCNM provides a visual representation of transient and post-transient, multi-frequency, multi-attractor behaviour and may automate the identification and analysis of complex dynamics with multiple scales and multiple invariant sets.

Date of online publication

18.01.2022

Pages (from - to)

A24-1 - A24-44

DOI

10.1017/jfm.2021.1105

URL

https://www.cambridge.org/core/journals/journal-of-fluid-mechanics/article/clusterbased-hierarchical-network-model-of-the-fluidic-pinball-cartographing-transient-and-posttransient-multifrequency-multiattractor-behaviour/7BCA007D7BAF5E32F39AA3685D033151

Comments

Article: A24

License type

CC BY-NC-ND (attribution - noncommercial - no derivatives)

Open Access Mode

czasopismo hybrydowe

Open Access Text Version

final published version

Date of Open Access to the publication

in press

Points of MNiSW / journal

140.0

Impact Factor

3.627 [List 2020]

This website uses cookies to remember the authenticated session of the user. For more information, read about Cookies and Privacy Policy.