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Pressure mode decomposition analysis of the flow past a cross-flow oscillating circular cylinder

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Abstract

Proper orthogonal decomposition (POD) is often employed in developing reduced-order models (ROM) in fluid flows for design, control, and optimization. Contrary to the usual practice where velocity field is the focus, we apply the POD analysis on the pressure field data obtained from numerical simulations of the flow past stationary and oscillating cylinders. Since pressure mainly contributes to the hydrodynamic forces acting on the structure, we compute the pressure POD modes on the cylinder surface oscillating in lock-in and lock-out regions. These modes are then dissected into sine and cosine magnitudes to estimate their contribution in the development of pressure lift and drag decomposition coefficients, respectively. The key finding of this study is that more POD modes are required to capture the flow physics in nonsynchronous regimes as compared to synchronization case. Engineering application of this study is the development of reduced-order models for effective control techniques.

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Abbreviations

A e /D :

Nondimensional amplitude of oscillation

a i :

Generalized coordinate in Galerkin expansion

D i :

Drag decomposition coefficient DDC (ith component)

f e /f s :

Excitation to shedding frequency

G :

Nonnegative Hermitian matrix

L i :

Lift decomposition coefficient LDC (ith component)

Q:

Eigenvectors

W :

Snapshot matrix (rows: grid points, column: time)

ψ i :

Pressure POD mode (ith component)

ψ s i :

Surface pressure POD mode (ith component)

θ :

Circumferential direction along the cylinder

λ :

Eigenvalues

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Acknowledgments

This research is conducted at the Digital Pakistan Lab supported by the National Center of Big Data & Cloud Computing under Higher Education Commission, Pakistan.

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Authors and Affiliations

  1. Department of Mechanical Engineering, NUST College of Electrical & Mechanical Engineering, National University of Science and Technology, Islamabad, 44000, Pakistan

    Muhammad Sufyan, Imran Akhtar & Zafar Bangash

  2. Centre for Advanced Studies in Pure and Applied Mathematics, Bahauddin Zakariya University, Multan, 60000, Pakistan

    Hamayun Farooq

Authors
  1. Muhammad Sufyan
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  2. Hamayun Farooq
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  3. Imran Akhtar
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  4. Zafar Bangash
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Corresponding author

Correspondence to Imran Akhtar.

Additional information

Muhammad Sufyan is a Research Associate at Digital Pakistan Lab. He received his M.S. in Mechanical Engineering from SeoulTech, South Korea, where he worked with Prof. H. G. Choi. His research interests include multiphase flows and FSI.

Hamayun Farooq is a Ph.D. student in the Centre for Advanced Studies in Pure and Applied Mathematics (CASPAM), Bahauddin Zakariya University, Multan, Pakistan. His research interests include parallel computing, FSI, and reduced-order modeling.

Imran Akhtar is an Associate Professor with research interests in the field of CFD, reduced-order modeling, flow control, and energy systems. He completed his Ph.D. from Virginia Tech., USA. He is the Co-PI in Digital Pakistan Lab.

Zafar Bangash is an Assistant Professor at NUST College of EME, Pakistan. He received his Ph.D. from Rovira i Virgili University, Spain. His research interests include fluid-structure interactions, automation, and experimental fluid dynamics.

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Sufyan, M., Farooq, H., Akhtar, I. et al. Pressure mode decomposition analysis of the flow past a cross-flow oscillating circular cylinder. J Mech Sci Technol 35, 153–158 (2021). https://doi.org/10.1007/s12206-020-1214-0

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  • DOI: https://doi.org/10.1007/s12206-020-1214-0

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