Physical Oceanography Physical Oceanography 1573-160X 20230303 Analysis of observations and methods of calculating hydrophysical fields in the ocean Research Article Influence of Ice Compression on the Wave Current Velocities at the Nonlinear Interaction of Wave Harmonics https://orcid.org/0000-0002-1165-8428 P-6733-2017 Bukatov A. A.
Russian Federation
bukatov.ant@mhi-ras.ru Marine Hydrophysical Institute of RAS 2 Kapitanskaya Str. Sevastopol 299011 Russian Federation 30 06 2023 30 3 288 301 15 08 2022 29 08 2022 09 03 2023 Copyright ©; 2023, A. A. Bukatov 2023 A. A. Bukatov https://creativecommons.org/licenses/by-nc/4.0/ https://physical-oceanography.ru/repository/issues/2023/03/03/

Purpose. The work is aimed at studying the ice compression influence on the components of fluid motion velocity under a floating ice cover in propagation of the wave formed by the nonlinear interaction of wave harmonics.

Methods and Results. Based on the obtained solution of the problem on nonlinear interaction of the progressive surface waves in a finite depth basin with floating and longitudinally compressed elastic ice, analyzed were the distributions of the components of fluid particles motion velocity along the generated wave length depending on the ice characteristics. The impact of thickness, elasticity modulus and compressive force of the ice cover, nonlinearity of the ice vertical acceleration and the amplitude of the second interacting harmonic upon the vertical and horizontal components of the fluid particles motion velocity was studied.

Conclusions. It is established that the compressive force conditions reduction of the phase and the maximum values of the fluid motion velocity components. Change in the sign of the second interacting harmonic amplitude is manifested in a significant profile transformation, and affects the generated perturbation phase at the regard for the nonlinearity of ice vertical acceleration. When the compression force value is fixed, a decrease in the ice cover rigidity results in a noticeable delay of the oscillation phase.

 nonlinear interaction of waves flexural-gravity waves longitudinal compressive force waves of finite amplitude motion of fluid particles ice compression ice cover The investigation was carried out within the framework of the state task on theme FNNN-2021-0004.

Article text not included.

REFERENCES SquireV.A. Of Ocean Waves and Sea-Ice Revisited Cold Regions Science and Technology 2007 49 2 110 133 10.1016/j.coldregions.2007.04.007 TakagiK. Interaction between Solitary Wave and Floating Elastic Plate Journal of Waterway, Port, Coastal, and Ocean Engineering 1997 123 2 57 62 10.1061/(ASCE)0733-950X(1997)123:2(57) BukatovA.E. Waves in the Sea with a Floating Ice Cover Sevastopol MHI 2017 360 (in Russian) ShenH.H. Wave-Ice Interaction Models and Experimental Observations TuhkuriJ. PolojärviA. IUTAM Symposium on Physics and Mechanics of Sea Ice Cham Springer 2022 183 200 10.1007/978-3-030-80439-8_9 SmirnovV.N. KovalevS.M. NubомA.A. ZnamenskiyM.S. Mechanics of Oscillations and Waves in the Ice of the Arctic Ocean during Compression and Ridging Arctic and Antarctic Research 2020 66 3 321 336 10.30758/0555-2648-2020-66-3-321-336 (in Russian) SuiJ. WangJ. HeY. KrolF. Velocity Profiles and Incipient Motion of Frazil Particles under Ice Cover International Journal of Sediment Research 2010 25 1 39 51 10.1016/S1001-6279(10)60026-1 OgasawaraT. SakaiS. Numerical Analysis of the Characteristics of Waves Propagating in Arbitrary Ice-Covered Sea Annals of Glaciology 2006 44 95 100 10.3189/172756406781811402 KorobkinA.A. PapinA.A. KhabakhpashevaT.I. Mathematical Models of the Snow-Ice Cover Barnaul Altai State University 2013 116 (in Russian) StokesG. On the Theory of Oscillatory Waves Mathematical and Physical Papers Cambridge Cambridge University Press 2009 197 229 10.1017/CBO9780511702242 CurcicM. ChenS.S. ÖzgökmenT.M. Hurricane-Induced Ocean Waves and Stokes Drift and Their Impacts on Surface Transport and Dispersion in the Gulf of Mexico Geophysical Research Letters 2016 43 6 2773 2781 10.1002/2015GL067619 NesterovS.V. Generation of the Surface Waves of Finite Amplitude by the Running System of Pressure Izvestiya Akademii Nauk SSSR. Fizika Atmosfery i Okeana 1968 4 10 1123 1125 (in Russian) NewmanJ.N. Marine Hydrodynamics Cambridge MIT Press 1977 402 Longuet-HigginsM. Lagrangian Moments and Mass Transport in Stokes Waves Journal of Fluid Mechanics 1987 179 547 555 10.1017/S0022112087001654 AleshkovYu.Z. Currents and Waves in the Ocean Saint Petersburg St. Petersburg University 1996 224 (in Russian) BukatovAnt.A. BukatovaO.M. Velocities of Fluid Motion in a Traveling Periodic Wave of Finite Amplitude Monitoring Systems of Environment Sevastopol MHI 2011 11 269 271 (in Russian) BukatovA.E. ZharkovV.V. Influence of Broken Ice upon Velocity of Wave Currents when Progressive Waves Pass above the Bottom Stagger Morskoy Gidrofizicheskiy Zhurnal 2001 5 3 14 (in Russian) BukatovA.E. BukatovA.A. Propagation of Surface Waves of Finite Amplitude in a Basin with Floating Broken Ice International Journal of Offshore and Polar Engineering 1999 9 3 161 166 BukatovAnt.A. BukatovAnd.A. Velocities of Motion of Liquid Particles under the Floating Ice Cover in the Case of Propagation of Periodic Waves of Finite Amplitude Physical Oceanography 2011 21 1 13 22 10.1007/s11110-011-9100-z BukatovAnt.A. BukatovaO.M. Influence of Ice Compression on Components of the Velocity of Motion of Liquid under the Ice Cover in a Traveling Periodic Flexural Gravity Wave of Finite Amplitude Physical Oceanography 2011 21 4 245 253 10.1007/s11110-011-9119-1 BukatovA.A. Nonlinear Vibrations of a Floating Longitudinally Compressed Elastic Plate in the Interaction of Wave Harmonics of Finite Amplitude Fluid Dynamics 2019 54 2 194 204 10.1134/S0015462819020046 NayfehA.H. Perturbation Methods Chichester John Wiley & Sons 1973 425 BukatovA.E. Effect of Longitudinal Compression on Transient Vibrations of an Elastic Plate Floating on the Surface of a Liquid Soviet Applied Mechanics 1981 17 1 75 79 10.1007/BF00885650 BukatovA.A. Velocity of the Wave Currents under the Floating Elastic Ice Formed by Nonlinear Interaction of the Wave Harmonics Physical Oceanography 2022 29 1 3 14 10.22449/1573-160X-2022-1-3-14