Optimization of the Wake Oscillator for Transversal VIV

Victoria Kurushina*, Andrey Postnikov, Guilherme Rosa Franzini, Ekaterina Pavlovskaia

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

9 Citations (Scopus)
3 Downloads (Pure)


Vibrations of slender structures associated with the external flow present a design challenge for the energy production systems placed in the marine environment. The current study explores the accuracy of the semi-empirical wake oscillator models for vortex-induced vibrations (VIV) based on the optimization of (a) the damping term and (b) empirical coefficients in the fluid equation. This work investigates the effect of ten fluid damping variations, from the classic van der Pol to more sophisticated fifth-order terms, and prediction of the simplified case of the VIV of transversally oscillating rigid structures provides an opportunity for an extended, comprehensive comparison of the performance of tuned models. A constrained nonlinear minimization algorithm in MATLAB is applied to calibrate considered models using the published experimental data, and the weighted objective function is formulated for three different mass ratios. Comparison with several sources of published experimental data for cross-flow oscillations confirms the model accuracy in the mass ratio range. The study indicates the advantageous performance of the models tuned with the medium mass ratio data and highlights some advantages of the Krenk–Nielsen wake oscillator.

Original languageEnglish
Article number293
Number of pages20
JournalJournal of Marine Science and Engineering
Issue number2
Early online date20 Feb 2022
Publication statusPublished - 20 Feb 2022

Bibliographical note

Funding Information:
Funding: V.K. would like to acknowledge the support of the National Project “Science and Universities” of the Ministry of Science and Higher Education of the Russian Federation, grant number FEWN-2021-0012. G.R.F. thanks the Brazilian National Council for Scientific and Technological Development (CNPq) for the grant 305945/2020-3.


  • Phenomenological model
  • Rigid structures
  • Transversal oscillations
  • VIV
  • Vortex-induced vibrations
  • Wake oscillator


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