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

N Deng, BR Noack, M Morzyński… - Journal of Fluid …, 2022 - cambridge.org
We propose a self-supervised cluster-based hierarchical reduced-order modelling
methodology to model and analyse the complex dynamics arising from a sequence of …

Cluster-based network model

H Li, D Fernex, R Semaan, J Tan… - Journal of Fluid …, 2021 - cambridge.org
We propose an automatable data-driven methodology for robust nonlinear reduced-order
modelling from time-resolved snapshot data. In the kinematical coarse-graining, the …

Cluster-based reduced-order modelling of a mixing layer

E Kaiser, BR Noack, L Cordier, A Spohn… - Journal of Fluid …, 2014 - cambridge.org
We propose a novel cluster-based reduced-order modelling (CROM) strategy for unsteady
flows. CROM combines the cluster analysis pioneered in Gunzburger's group (Burkardt …

Low-order model for successive bifurcations of the fluidic pinball

N Deng, BR Noack, M Morzyński… - Journal of fluid …, 2020 - cambridge.org
We propose the first least-order Galerkin model of an incompressible flow undergoing two
successive supercritical bifurcations of Hopf and pitchfork type. A key enabler is a mean-field …

Route to chaos in the fluidic pinball

N Deng, LR Pastur… - Fluids …, 2018 - asmedigitalcollection.asme.org
The fluidic pinball has been recently proposed as an attractive and effective flow
configuration for exploring machine learning fluid flow control. In this contribution, we focus …

Data-driven low-dimensional dynamic model of Kolmogorov flow

CEP De Jesús, MD Graham - Physical Review Fluids, 2023 - APS
Reduced order models (ROMs) that capture flow dynamics are of interest for decreasing
computational costs for simulation as well as for model-based control approaches. This work …

Bifurcations in a quasi-two-dimensional Kolmogorov-like flow

J Tithof, B Suri, RK Pallantla, RO Grigoriev… - Journal of Fluid …, 2017 - cambridge.org
We present a combined experimental and theoretical study of the primary and secondary
instabilities in a Kolmogorov-like flow. The experiment uses electromagnetic forcing with an …

An artificial neural network approach to bifurcating phenomena in computational fluid dynamics

F Pichi, F Ballarin, G Rozza, JS Hesthaven - Computers & Fluids, 2023 - Elsevier
This work deals with the investigation of bifurcating fluid phenomena using a reduced order
modelling setting aided by artificial neural networks. We discuss the POD-NN approach …

Multi-scale invariant solutions in plane Couette flow: a reduced-order model approach

M McCormack, AVG Cavalieri… - Journal of Fluid Mechanics, 2024 - cambridge.org
Plane Couette flow at Reynolds number (based on the channel half-height and half the
velocity difference between the top and bottom plates) is investigated with a spatial domain …

Proper orthogonal decomposition analysis and modelling of large-scale flow reorientations in a cubic Rayleigh–Bénard cell

L Soucasse, B Podvin, P Rivière… - Journal of Fluid …, 2019 - cambridge.org
This paper investigates the large-scale flow reorientations of Rayleigh–Bénard convection in
a cubic cell using proper orthogonal decomposition (POD) analysis and modelling. A direct …