Abstract

Abstract

Highlights

  • We propose a cluster-based network model (CNM) from time-resolved snapshot data exemplified for a laminar mixing layer and an actuated turbulent boundary layer

  • This study aims at a cluster-based network model (CNM) with improved dynamics resolution following Fernex et al (2019)

  • The dynamics of cluster-based Markov model (CMM) is illustrated for the first cluster probability p1 and the first proper orthogonal decomposition (POD) mode amplitude a1 inferred from the flow state (2.19)

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Summary

Introduction

We propose a cluster-based network model (CNM) from time-resolved snapshot data exemplified for a laminar mixing layer and an actuated turbulent boundary layer. The goal is purely data-driven reduced-order modelling trading the physical insights from first principles, e.g. the Galerkin method (see e.g. Holmes et al 2012), with simplicity, robustness and closeness to the original data

Li and others
Cluster-based modelling
Clustering as coarse-graining
Cluster-based Markov model
Cluster-based network model
Validation of the cluster-based reduced-order models
Lorenz system as an illustrating example
Cluster-based reduced-order modelling of the mixing layer
Flow configuration and direct numerical simulation
Clustering
Markov model
Network model
Cluster-based network modelling of the actuated turbulent boundary layer
Flow configuration and large-eddy simulation
Conclusions
Kinematics
Dynamics
Estimation
Findings
Control
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