Abstract
A network community-based reduced-order model is developed to capture key interactions among coherent structures in high-dimensional unsteady vortical flows. The present approach is data-inspired and founded on network-theoretic techniques to identify important vortical communities that are comprised of vortical elements that share similar dynamical behavior. The overall interaction-based physics of the high-dimensional flow field is distilled into the vortical community centroids, considerably reducing the system dimension. Taking advantage of these vortical interactions, the proposed methodology is applied to formulate reduced-order models for the inter-community dynamics of vortical flows, and predict lift and drag forces on bodies in wake flows. We demonstrate the capabilities of these models by accurately capturing the macroscopic dynamics of a collection of discrete point vortices, and the complex unsteady aerodynamic forces on a circular cylinder and an airfoil with a Gurney flap. The present formulation is found to be robust against simulated experimental noise and turbulence due to its integrating nature of the system reduction.
Original language | English |
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Article number | 063103 |
Journal | Physical Review E - Statistical, Nonlinear, and Soft Matter Physics |
Volume | 97 |
Issue number | 6 |
DOIs | |
State | Published - Jun 11 2018 |
Externally published | Yes |
Funding
This work was supported by the National Science Foundation (Grant No. 1632003, Program managers Dimitrios V. Papavassiliou and Ronald D. Joslin) and the Air Force Office of Scientific Research (Grant No. FA9550-16-1-0650, program manager Douglas R. Smith). We thank Steven L. Brunton for the stimulating discussions on reduced-order modeling during the course of this study.