Quantitative analysis of the kinematics and induced aerodynamic loading of individual vortices in vortex-dominated flows: a computation and data-driven approach

Abstract

A physics-based data-driven computational framework for the quantitative analysis of vortex kinematics and vortex-induced loads in vortex-dominated problems is presented. Such flows are characterized by the dominant influence of a small number of vortex structures, but the complexity of these flows makes it difficult to conduct a quantitative analysis of this influence at the level of individual vortices. The method presented here combines machine learning-inspired clustering methods with a rigorous mathematical partitioning of aerodynamic loads to enable detailed quantitative analysis of vortex kinematics and vortex-induced aerodynamic loads. We demonstrate the utility of this approach by applying it to an ensemble of 165 distinct Navier-Stokes simulations of flow past a sinusoidally pitching airfoil. Insights enabled by the current methodology include the identification of a period-doubling route to chaos in this flow, and the precise quantification of the role that leading-edge vortices play in driving aeroelastic pitch oscillations.

References in corpus (13)

• Scikit-learn: Machine Learning in Python
• Natural Scales in Geographical Patterns
• A Critical Comparison of Lagrangian Methods for Coherent Structure Detection
• Multichannel Compressive Sensing MRI Using Noiselet Encoding
• A Spectral Clustering Approach to Lagrangian Vortex Detection
• Flow networks: A characterization of geophysical fluid transport
• On the aerodynamic forces on heaving and pitching airfoils at low Reynolds number
• Classifying vortex wakes using neural networks
• Coherent structure coloring: identification of coherent structures from sparse data using graph theory
• On the initiation and sustenance of flow-induced vibration of cylinders: insights from force partitioning
• Network-theoretic approach to sparsified discrete vortex dynamics
• Dynamic mode decomposition based analysis of flow over a sinusoidally pitching airfoil
• Aeroelastic response of an airfoil to gusts: Prediction and control strategies from computed energy maps

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• Flow-induced oscillations of pitching swept wings: Stability boundary, vortex dynamics and force partitioning
• Weighted integral methods for fluid force diagnostics in incompressible flows
• A data-driven approach for modeling large-amplitude flow-induced oscillations of elastically mounted pitching wings