Abstract
The concept of surf-riding in irregular seas is investigated and two calculation schemes are implemented in order to establish upper and lower bounds of the probability of surf-riding. The first scheme extrapolates from the concept of surf-riding in regular seas and is product of analysis of system dynamics. Points of the phase-space that could be considered as the counterparts, for irregular sea, of the conventional surf-riding equilibria are targeted. Due to the time-varying nature of the considered phase-space however, these points exist only temporarily, emerging and later vanishing at random time instants. The second scheme is more empirical, targeting time intervals of ship motion where the speed remains above the expected range. We call such behavior a “high run”. The probability values obtained by the two schemes are compared against each other and conclusions are drawn.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Bishop RC, Belknap W, Turner C, Simon B, Kim JH (2005) Parametric investigation on the influence of GM, roll damping, and above-water form on the roll response of model 5613. Report NSWCCD-50-TR-2005/027
Froyland G, Padberg-Gehle K (2015) A rough-and-ready cluster-based approach for extracting finite-time coherent sets from sparse and incomplete trajectory data. Chaos 25(9):097617
Grim O (1951) Das Schiff in von achtern auflaufender See. Jahrbuch der Schiffbautechnischen Gesselschaft (STG) 45:264–287
Haller G (2011) A variational theory of hyperbolic Lagrangian coherent structures. Physica D 240:574–598
Kan M (1990) Surging of large amplitude and surf-riding of ships in following seas. Selected papers in naval architecture and ocean engineering, The Society of Naval Architects of Japan 28
Kontolefas I, Spyrou KJ (2016) Coherent structures in phase space, governing the nonlinear surge motions of ships in steep waves. Ocean Eng 120:339–345
Kontolefas I, Spyrou KJ (2020) Probability of ship high-runs from phase space data. J Ship Res 64(1):81–97
Shadden SC (2011) Lagrangian coherent structures. In: Grigoriev R (ed) Transport and mixing in laminar flows: from microfluidics to oceanic currents, Wiley-VCH
Spyrou KJ, Belenky V, Themelis N, Weems K (2014) Detection of surf-riding behavior of ships in irregular seas. Nonlinear Dyn 78(1):649–667. https://doi.org/10.1007/s11071-014-1466-2
Spyrou KJ, Themelis N, Kontolefas I (2016) Numerical statistical estimates of ship broaching-to. J Ship Res 60(4):219–238. https://doi.org/10.5957/JOSR.60.4.160027
Spyrou KJ, Themelis N (2013) Wave celerity in a multi-chromatic sea: a comparative study. In: Proceedings, 13th international ship stability workshop, Brest, France, pp 88–94
Spyrou KJ, Belenky V, Themelis N, Weems K (2019) Definitions of celerity for investigating surf-riding in an irregular seaway. In: Belenky V, Spyrou K, van Walree F, Neves MAS, Umeda N (eds) Chapter 21 of contemporary ideas on ship stability. Risk of capsizing, Springer, ISBN 978-3-030-00514-6, pp 359–377
Spyrou KJ, Themelis N, Kontolefas I (2023) Abnormal high speed ship motions in two-frequency and multi-frequency following waves. In: Spyrou KJ, Belenky V, Katayama T, Backalov I, Francescutto A (eds) Chapter 24 of contemporary ideas on ship stability. From dynamics to criteria, Springer, pp 400–412. ISBN 978-3-031-16328-9
Spyrou KJ, Belenky V, Themelis N, Weems K (2012) Conditions of surf-riding in an irregular seaway. In: Proceedings, 11th international conference on stability of ships and ocean vehicles, Athens, Greece, pp 323–336
Acknowledgements
This work has been funded by the Office of Naval Research under Dr. Ki-Han Kim and by the Office of Naval Research Global (grant number N62909-13-1-7) under Dr. Woei-Min Lin. The project was administered at the University of Strathclyde. This support is gratefully acknowledged. The authors acknowledge also the contribution of Dr. Vadim Belenky of David Taylor Model Basin with whom there had been continuous scientific interaction in this research work.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2023 The Author(s), under exclusive license to Springer Nature Switzerland AG
About this chapter
Cite this chapter
Spyrou, K.J., Themelis, N., Kontolefas, I. (2023). Estimates of the Probability of Surf-Riding in Irregular Seas. 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_23
Download citation
DOI: https://doi.org/10.1007/978-3-031-16329-6_23
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-031-16328-9
Online ISBN: 978-3-031-16329-6
eBook Packages: EngineeringEngineering (R0)