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Critical Distance on a Phase Plane as a Metric for the Likelihood of Surf-Riding in Irregular Waves

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Contemporary Ideas on Ship Stability

Part of the book series: Fluid Mechanics and Its Applications ((FMIA,volume 134))

Abstract

The formulation of a metric for the likelihood of surf-riding in irregular waves is addressed in this chapter. This metric measures how close a ship is to surf-riding at a given time and is computed through a series of perturbation simulations. This approach allows the physics of severe ship motions to be included in the statistical extrapolation of the response by the split-time method. The candidate metric is the distance, in the surge phase plane, between the ship’s position (location and velocity) at an instant of a random seas simulation and the instantaneous boundary between surging and surf-riding (if the latter exists). The distance is measured along the line connecting the position of the dynamical system and the stable surf-riding pseudo-equilibrium at that time. The instance of surf-riding is defined when the surging velocity exceeds the value of the instantaneous celerity, computed at the position of a stable pseudo-equilibrium just behind the ship.

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Acknowledgements

The work described in this chapter has been funded by the Office of Naval Research (ONR) and ONR Global under Dr. Thomas Fu, Dr. Woei-Min Lin, and Dr. Salahuddin Ahmed, and by a David Taylor Model Basin /NSWCCD Independent Applied Research (IAR) program under Dr. Jack Price. The authors are grateful to Dr. Art Reed, Tim Smith, and Brad Campbell of David Taylor Model Basin and to Nikos Themelis and Ioannis Kontolefas of the National Technical University of Athens for fruitful discussion of this work.

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Authors and Affiliations

  1. David Taylor Model Basin (NSWCCD), West Bethesda, Maryland, USA

    Vadim Belenky & Kenneth Weems

  2. School of Naval Architecture, National Technical University of Athens, Athens, Greece

    Kostas Spyrou

Authors
  1. Vadim Belenky
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  2. Kostas Spyrou
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  3. Kenneth Weems
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Correspondence to Vadim Belenky .

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Editors and Affiliations

  1. School of Naval Architecture and Marine Engineering, National Technical University of Athens, Athens, Greece

    Kostas J. Spyrou

  2. Carderock Division, Naval Surface Warfare Center, West Bethesda, MD, USA

    Vadim L. Belenky

  3. Osaka Metropolitan University, Sakai, Osaka, Japan

    Toru Katayama

  4. Development Centre for Ship Technology and Transport Systems, Duisburg, Germany

    Igor Bačkalov

  5. Department of Engineering and Architecture, University of Trieste, Trieste, Italy

    Alberto Francescutto

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Belenky, V., Spyrou, K., Weems, K. (2023). Critical Distance on a Phase Plane as a Metric for the Likelihood of Surf-Riding in Irregular Waves. In: Spyrou, K.J., Belenky, V.L., Katayama, T., Bačkalov, I., Francescutto, A. (eds) Contemporary Ideas on Ship Stability. Fluid Mechanics and Its Applications, vol 134. Springer, Cham. https://doi.org/10.1007/978-3-031-16329-6_25

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  • DOI: https://doi.org/10.1007/978-3-031-16329-6_25

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-031-16328-9

  • Online ISBN: 978-3-031-16329-6

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