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This study introduces a network community approach for reduced-order modeling of complex fluid flows. The method effectively captures vortical interactions, enabling accurate prediction of aerodynamic forces.

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Area of Science:

  • Fluid Dynamics
  • Network Science
  • Computational Science

Background:

  • High-dimensional unsteady vortical flows present significant modeling challenges.
  • Understanding interactions among coherent structures is crucial for accurate flow prediction.
  • Existing methods often struggle with the complexity and dimensionality of these flows.

Purpose of the Study:

  • To develop a data-inspired, network-theoretic reduced-order model for vortical flows.
  • To identify and analyze key interactions within vortical communities.
  • To predict macroscopic flow dynamics and aerodynamic forces.

Main Methods:

  • Utilizing network-theoretic techniques to identify vortical communities based on dynamical behavior.
  • Distilling high-dimensional flow physics into vortical community centroids for dimensionality reduction.
  • Formulating reduced-order models for inter-community dynamics and force prediction.

Main Results:

  • Accurate capture of macroscopic dynamics for discrete point vortices.
  • Successful prediction of unsteady aerodynamic forces on a circular cylinder and an airfoil with a Gurney flap.
  • Demonstrated robustness against simulated experimental noise and turbulence.

Conclusions:

  • The network community-based reduced-order model effectively simplifies complex vortical flows.
  • The methodology provides accurate predictions of flow dynamics and aerodynamic forces.
  • The approach offers a robust framework for analyzing and modeling unsteady vortical flows.