Zhurnal Radioelektroniki - Journal of Radio Electronics. eISSN 1684-1719. 2022. №11
ContentsFull text in Russian (pdf)
DOI: https://doi.org/10.30898/1684-1719.2022.11.12
THE PROBLEM OF DETECTING ABNORMAL WAVES
ON WATER BY NAVIGATION RADAR
1. THE MODELS OF ABNORMAL WAVES
V.A. Permyakov, A.I. Baskakov, S.V. Permiakov, N.A. Firsov
Moscow Power Engineering Institute
111250, Russia, Moscow, Krasnokazarmennaya st., b. 14
The paper was received September 11, 2022.
Abstract. The abnormal or freak waves of great height present a serious danger for ships and sea oil platforms. In this review we discuss the characteristics of freak waves. The freak waves are interested for us as the targets for an azimuth scan pulsed microwave radar. In our research, first of all, we consider the geometrical shapes of two-dimensional models of abnormal waves and briefly three-dimensional models. To the well-known classification of abnormal waves: Singular Wave Tower, Three Sisters, White Wall we added two variants of crests: smooth or three-cornered. Also, we briefly study the temporal attributes of abnormal waves. In the end of our research, we propose the criterion of discovery of short abnormal waves with azimuth scan pulsed microwave radar.
Keywords: freak waves, classification, geometrical shapes, temporal characteristics, pulsed microwave radar.
Corresponding author: Permyakov Valerii Aleksandrovich, v.permyakov38@yandex.ru
References
1. Vinokurov V.I. Morskaya radiolokatsiya [Marine radar]. Lenningrad, Sudostroenie Publ. 1986. 256 p. (In Russian)
2. Chalikov D.V. About Nature of Extreme Ocean Waves. Fundamental'naya i prikladnaya gidrofizika [Fundamental and Applied Hydrophysics]. 2020. V.13. №4. P.5-18. https://doi.org/10.7868/S2073667320040012
3. Boukhanovsky A.V., Lopatoukhin L.I. Extreme and Freak Wind Waves: Measurements, Calculation, Forecast. Fundamental'naya i prikladnaya gidrofizika [Fundamental and Applied Hydrophysics]. 2011. V.4. №4. P.5-17. (In Russian)
4. Zakharov V.E. Stability of periodic waves of finite amplitude on the surface of a deep liquid. Prikladnaya mekhanika i terhnicheskaya fizika [Applied mechanics and technical physics]. 1968. №2. P.85-94. (In Russian)
5. Zakharov V.E., Dyachenko A.I. About shape of giant breather. European Journal of Mechanics B/Fluids. 2010. V.29. №2. P.127-131. https://doi.org/10.1016/j.euromechflu.2009.10.003
6. Zakharov V.E., Dyachenko A.I., Numerical Experiments and Freak Waves. Fundamental'naya i prikladnaya gidrofizika [Fundamental and Applied Hydrophysics]. 2012. V.5. №1. P.64-76. (In Russian)
7. Chalikov D.V., Bulgakov K.Yu. Stokes waves at finite depth. Fundamental\'naya i prikladnaya gidrofizika [Fundamental and Applied Hydrophysics]. 2014. V.7. №4. P.3-15. (In Russian)
8. Pelinovskii E.N., Slyunyaev A.V. Freak waves. Fizika [Physics]. 2006. №2 P. 29-36. (In Russian)
9. Didenkulova E. Catalogue of rogue waves occurred in the World Ocean from 2011 to 2018 reported by mass media sources. Ocean & Coastal Management. 2020. V.188. №1. P.105076. https://doi.org/10.1016/j.ocecoaman.2019.105076
10. Slyunyaev A.V., Pelinovskii E.N. Freak waves: myths and reality. Priroda [Nature]. 2021. №10. P.10-25. (In Russian). https://doi.org/10.7868/S0032874X21100021
11. Kharif C., Pelinovsky E., Slunyaev A. Rogue Waves in the Ocean. Springer. 2009. 216 p. https://doi.org/10.1007/978-3-540-88419-4
12. Kurkin A.A., Pelinovskii E.N. Volny-ubiitsy: fakty, teoriya i modelirovanie. Izd. 2. [Freak waves: facts, theory and simulation. Issue 2]. Мoscow-Berlin, DirektMEDIA. 2016. 178 p. (In Russian)
13. Chalikov D.V. Numerical Modelling of Sea Waves. Shwitzerland, Springer International Publishing. 2016. 330 p. https://doi.org/10.1134/S0001433820030032
14. Rosenthal W., Lehner S. Results of the MAXWAVE project. Proc. 14th Aha Huliko ‘a Winter Workshop, Honolulu, Hawaii. 2005.
15. Lehner S., Gunther H. Extreme wave statistics from radar data sets. 2004 IEEE International Geoscience and Remote Sensing Symposium. 2004. V.3. P.1880-1883. https://doi.org/10.1109/IGARSS.2004.1370707
16. Chalikov D.V. The Portrait of Freak Wave. Fundamental'naya i prikladnaya gidrofizika [Fundamental and Applied Hydrophysics]. 2012. V.5. №1. P.5-18. (In Russian)
17. Pravila po oborudovaniyu morskikh sudov. Chast' 5. Navigatsionnoe oborudovanie [Rools for the equipment of a marine ships. Part 5. Navigation equipment]. St-Petersburg. FAU «Rossiiskii Morskoi Registr sudokhodstva» Publ. 2021. 268 p. (In Russian)
18. Will Cousins, Themistoklis P. Sapsis. Quantification and prediction of extreme events in a one-dimensional nonlinear dispersive wave model. Physika D. 2014. V.280-281. P.48-58. https://doi.org/10.1016/j.physd.2014.04.012
19. Shurgalina E.G., Pelinovskii E.N. Development of Freak Swell Wave in a Weak Wave Field. Fundamental'naya i prikladnaya gidrofizika [Fundamental and Applied Hydrophysics] 2012. V.5. №1. P.77-88. (In Russian)
20. Dodd R.K., Eilbeck J.C., Gibbon J.D., Morris H.C. Solitons and Nonlinear Wave Equations. London. Academic Press, Inc. 1984. 578 p.
21. Yudin A.V. The Typical Pictures of the Rogue Waves Geometry in Computational Experiments. Vestnik RUDN. Seriya Matematika, Informatika, Fizika [Bulletin of Peoples Friendship University of Russia. Series Mathematics, Informatics, Physics]. 2013. №4. P.181-189. (In Russian)
22. Stokes G.G. Supplement to a paper on the theory of oscillatory waves. Mathematical and Physical Papers. 1880. V.1. P.314-326.
23. Craig W., Wayne C.E. Mathematical aspects of surface water waves. Russian mathematical surveys. 2007. V.62. №3. P.453-473. https://doi.org/10.1070/RM2007v062n03ABEH004413
24. Amick C.J., Fraenkel L.E., Toland J.F. On the Stokes conjecture for the wave of extreme form. Acta Math. 1982. V.148. №1. P.193-214. https://doi.org/10.1007/BF02392728
25. Shelkovnikov N.K. A soliton version of the formation of rogue waves in the ocean. Morskoi gidrofizicheskii zhurnal [Journal of the marine hydrophysics] 2012. №5. P.34-42. (In Russian)
26. Maslov V.I. Freak wave simulation in a seakeeping tank. Trudy Krylovskogo gosudarstvennogo nauchnogo chentra. [Proceedings of the Krylov State Scientific Center]. St. Petersburg. Russia. 2019. №2. P.91-98. https://doi.org/10.24937/2542-2324-2019-2-S-I-91-98 (In Russian)
27. Clauss G. Dramas of the sea: episodic waves and their impact on offshore structures. Applied Ocean Research. 2002. V.24. P.147-161.
28. Al'bom planshetov stereofotogrammetricheskoi s"emki voln. Antarktida [Album of stereophotogrammetric wave recording tablets. Antarctica] Leningrad, Gidrometeoizdat Publ. 1960. 48 p. (In Russian)
For citation:
Permyakov V.A., Baskakov A.I., Permiakov S.V., Firsov N.A. The problem of detecting abnormal waves on water by navigation radar 1. The models of abnormal waves. Zhurnal radioelektroniki [Journal of Radio Electronics] [online]. 2022. №11. https://doi.org/10.30898/1684-1719.2022.11.12 (In Russian)