Wake oscillator equations in modelling vortex-induced vibrations at low mass ratios

Victoria Kurushina, Ekaterina Pavlovskaia

Research output: Chapter in Book/Report/Conference proceedingPublished conference contribution

4 Citations (Scopus)


The current research explores the capabilities of Rayleigh and Van der Pol equations from the standpoint of accuracy of vortex-induced vibrations (VIV) modelling for low mass ratio cases. The two degree-of-freedom rigid structure model suggested by Postnikov et al. [1] is used as the base case, and the fluid equations are modified to create 7 options as alternatives to this model. The considered options constitute variation in damping terms, including introduction of additional damping coefficients (as different Van der Pol or Rayleigh parameters). Then the calibration is performed to identify the best set of coefficients to provide accurate match with the experimental data. The main aim is to predict correctly the development of the super-upper branch [2]. Experimental results by Stappenbelt and Lalji [3] for mass ratio 2.36 are utilised for the model calibration. Then the obtained models are validated using data from the series of experiments by Stappenbelt and Lalji [3] and published experimental data from other sources [2, 4]. The obtained results demonstrate the advantages of changes in damping terms. Overall, it is concluded that Rayleigh oscillator can be recommended to approximate the lift coefficient for low mass ratios.

Original languageEnglish
Title of host publicationOCEANS 2017 - Aberdeen
PublisherInstitute of Electrical and Electronics Engineers Inc.
Number of pages6
ISBN (Electronic)9781509052783
ISBN (Print)9781509052790
Publication statusPublished - 25 Oct 2017
EventOCEANS 2017 - Aberdeen - Aberdeen, United Kingdom
Duration: 19 Jun 201722 Jun 2017


ConferenceOCEANS 2017 - Aberdeen
Country/TerritoryUnited Kingdom

Bibliographical note

V.K. would like to acknowledge the support of the Tyumen Industrial University, Tyumen, Russia, and the State Program ”Global Education”, Russia.
This work was performed using the Maxwell High Performance Computing Cluster of the University of Aberdeen IT Service, provided by Dell Inc. and supported by Alces Software.
Authors would like to express their gratitude to Dr. Andrew Starkey for advices regarding optimization procedures and to Naveed Khan for technical advices on accelerating computations.


  • calibration of the model
  • elastically-mounted cylinder
  • low mass ratio
  • vortex-induced vibration
  • wake oscillator model


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