Численное моделирование «волн-убийц» на морской поверхности в рамках потенциальных уравнений Эйлера
Izvestia, Atmospheric and Oceanic Physic. 2020. Т. 56. № 2. С. 210-223.
Slunyaev A., Кокорина А. В.
, Вестник Московского университета. Серия 3: Физика и астрономия 2017 Т. 3 С. 33-47
Observational data regarding anomalously high waves on the sea’s surface (freak or rogue waves) are reviewed. The objectives of the research are identified, and the difficulties encountered are noted. The main physical mechanisms employed in explaining rogue waves are listed, and possible approaches to predicting marine hazards are discussed. Principles for ongoing short-term forecasting of extreme waves (within tens ...
Added: March 1, 2019
, , Journal of Ocean Engineering and Marine Energy 2017 Vol. 3 P. 395-408
The results of the probabilistic analysis of the direct numerical simulations of irregular unidirectional deep water waves are discussed. It is shown that an occurrence of large-amplitude soliton-like groups represents an extraordinary case, which is able to increase noticeably the probability of high waves even in moderately rough sea conditions. The ensemble of wave realizations should be large enough to take these ...
Added: March 1, 2019
, , , European Journal of Mechanics - B/Fluids 2019 Vol. 78 P. 21-31
Direct numerical simulations of irregular unidirectional nonlinear wave evolution are performed within the framework of the Korteweg–de Vries equation for bimodal wave spectra model cases. The additional wave system co-existence effect on the evolution of the wave statistical characteristics and spectral shapes, and also on the attained equilibrium state is studied. The concerned problem describes, for example, the interaction ...
Added: June 15, 2019
Account of occasional wave breaking in numerical simulations of irregular water waves in the focus of the rogue wave problem
, , Water Waves, Springer 2019 P. 1-20
The issue of accounting of the wave breaking phenomenon in direct numerical simulations of oceanic waves is discussed. It is emphasized that this problem is crucial for the deterministic description of waves, and also for the dynamical calculation of extreme wave statistical characteristics, such as rogue wave height probability, asymmetry, etc. The conditions for accurate ...
Added: October 13, 2019
, Physics of Fluids 2021 Vol. 33 Article 036606
The observation of a wave group persisting for more than 200 periods in the direct numerical simulation of nonlinear unidirectional irregular water waves in deep water is discussed. The simulation conditions are characterized by parameters realistic for broad-banded waves in the sea. Through solution of the associated scattering problem for the nonlinear Schr€odinger equation, the group is ...
Added: March 19, 2021
, , et al., Physical Review Letters 2022 Vol. 129 No. 14 Article 144502
Nonlinear wave focusing originating from the universal modulation instability (MI) is responsible for the formation of strong wave localizations on the water surface and in nonlinear wave guides, such as optical Kerr media and plasma. Such extreme wave dynamics can be described by breather solutions of the nonlinear Schrödinger equation (NLSE) like by way of example the famed ...
Added: October 13, 2022
, , et al., Natural Hazards and Earth Science Systems 2014 Vol. 14 P. 861-870
Spatio-temporal evolution of rogue waves measured in Taiwanese coastal waters is reconstructed by means of numerical simulations. Their lifetimes are up to 100 s. The time series used for reconstructions were measured at dimensionless depths within the range of kh = 1.3−4.0, where k is the wave number and h is the depth. All identified ...
Added: November 19, 2014
, , et al., Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 2012 Vol. 86 No. 5 P. 156601-1-156601-6
We present experimental observations of the hierarchy of rational breather solutions of the nonlinear Schrodinger equation (NLS) generated in a water wave tank. First, five breathers of the infinite hierarchy have been successfully generated, thus confirming the theoretical predictions of their existence. Breathers of orders higher than five appeared to be unstable relative to the ...
Added: January 18, 2013
, , Journal of Physics A: Mathematical and Theoretical 2016 Vol. 49 No. 19 P. 194001
Rogue wave formation in shallow water is often governed by dispersive focusing and wave-bottom interaction. In this study we try to combine these mechanisms by considering dispersive nonreflecting wave propagation in shallow strongly inhomogeneous channels. Nonreflecting wave propagation provides extreme wave amplification and the transfer of wave energy over large distances, while dispersive effects allow ...
Added: June 8, 2016
Higher-order (2+4) Korteweg-de Vries - like equation for interfacial waves in a symmetric three-layer fluid
, , et al., Physics of Fluids 2011 Vol. 23 No. 11 P. 116602-1-13-116602-13
We address a specific but possible situation in natural water bodies when the three-layer stratification has a symmetric nature, with equal depths of the uppermost and the lowermost layers. In such case, the coefficients at the leading nonlinear terms of the modified Korteweg-de Vries (mKdV) equation vanish simultaneously. It is shown that in such cases ...
Added: November 6, 2012
Super rogue waves in simulations based on weakly nonlinear and fully nonlinear hydrodynamic equations
, , et al., Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 2013 Vol. 88 No. 1 P. 012909-012909
The rogue wave solutions (rational multibreathers) of the nonlinear Schr¨odinger equation (NLS) are tested in numerical simulations of weakly nonlinear and fully nonlinear hydrodynamic equations. Only the lowest order solutions from 1 to 5 are considered. A higher accuracy of wave propagation in space is reached using the modified NLS equation, also known as the ...
Added: November 13, 2013
, , Communications in Nonlinear Science and Numerical Simulation 2016 Vol. 34 P. 66-76
The process of rogue wave formation on deep water is considered. A wave of extreme amplitude is born against the background of uniform waves (Gerstner waves) under the action of external pressure on free surface. The pressure distribution has a form of a quasi-stationary “pit”. The fluid motion is supposed to be a vortex one ...
Added: November 3, 2015
, , Fluids, Switzerland 2019 Vol. 4 P. 70-1-70-16
The issue of rogue wave lifetimes is addressed in this study, which helps to detail the general picture of this dangerous oceanic phenomenon. The direct numerical simulations of irregular wave ensembles are performed to obtain the complete accurate data on the rogue wave occurrence and evolution. Purely collinear wave systems, moderately crested, and short-crested sea states have been simulated ...
Added: April 17, 2019
Rogue waves in the basin of intermediate depth and the possibility of their formation due to the modulational instability
, , , JETP Letters 2013 Vol. 97 No. 4 P. 221-225
Properties of rogue waves in the basin of intermediate depth are discussed in comparison with known properties of rogue waves in deep waters. Based on observations of rogue waves in the ocean of intermediate depth we demonstrate that the modulational instability can still play a significant role in their formation for basins of 20m and ...
Added: February 26, 2013
, , Physical Review Fluids 2020 Vol. 5 No. 9 P. 094702
We demonstrate that two surface waves propagating at a small angle 2θ to each other generate large-scale (compared to the wavelength) vertical vorticity owing to hydrodynamic nonlinearity in a viscous fluid. The horizontal geometric structure of the induced flow coincides with the structure of the Stokes drift in an ideal fluid, but its steady-state amplitude ...
Added: September 30, 2020
, , , Wave Motion 2021 Vol. 100 Article 102668
The role of various long-wave approximations in the description of the wave field and bottom pressure caused by surface waves, and their relation to evolution equations are being considered. In the framework of the linear theory, these approximations are being tested on the well-known exact solution for the wave spectral amplitudes and pressure variations. The ...
Added: January 26, 2021
, , et al., Physica D: Nonlinear Phenomena 2022 Vol. 434 Article 133218
We have studied experimentally the generation of vortex flow by gravity waves with a frequency of $2.34$ Hz excited on the water surface at an angle $2 \theta = \arctan(3/4) \approx 36^\circ$ to each other. The resulting horizontal surface flow has a stripe-like spatial structure. The width of the stripes $L=\pi/(2k \sin \theta)$ is determined ...
Added: March 26, 2022
, , , Journal of Offshore Mechanics and Arctic Engineering 2014 Vol. 136 P. 011302
In this paper, some abnormal or rogue wave events registered in the North Sea by means of the surface elevation measurements are reconstructed with the help of theoretical models for water waves and numerical simulations of wave evolution. Time series of surface elevation, which are measured at a single point, provide incomplete information about the ...
Added: November 19, 2014
, , Математические заметки 2014 Т. 95 № 3 С. 359-375
The system of equations of gravity surface waves is considered in the case where the basin's bottom is given by a rapidly oscillating function against a background of slow variations of the bottom. Under the assumption that the lengths of the waves under study are greater than the characteristic length of the basin bottom's oscillations ...
Added: May 21, 2014
, Journal of Physics: Conference Series 2017 Vol. 804 No. 012036 P. 1-8
We investigate the existence and the orthogonality of the generalized Jack symmetric functions which play an important role in the AGT relations. We show their orthogonality by deforming them to the generalized Macdonald symmetric functions. ...
Added: October 26, 2017
, , Physical Review B: Condensed Matter and Materials Physics 2013 Vol. 88 No. 5 P. 054505-1-054505-10
We investigate the effect of interacting quantum phase slips on persistent current and its fluctuations in ultrathin superconducting nanowires and nanorings pierced by the external magnetic flux. We derive the effective action for these systems and map the original problem onto an effective sine-Gordon theory on torus. We evaluate both the flux dependent persistent current ...
Added: February 9, 2015
, , , Journal of Geometry and Physics 2011 Vol. 61 P. 1203-1222
We present a summary of current knowledge about the AGT relations for conformal blocks with additional insertion of the simplest degenerate operator, and a special choice of the corresponding intermediate dimension, when the conformal blocks satisfy hypergeometric-type differential equations in position of the degenerate operator. A special attention is devoted to representation of conformal block ...
Added: February 28, 2013
, , Scientific Reports 2018 Vol. 8 No. 1 P. 16915-1-16915-18
Sequential state discrimination is a strategy for quantum state discrimination of a sender’s quantum states when N receivers are separately located. In this report, we propose optical designs that can perform sequential state discrimination of two coherent states. For this purpose, we consider not only binary phase-shifting-key (BPSK) signals but also general coherent states, with arbitrary prior probabilities. Since ...
Added: November 16, 2020
Control of the exciton valley dynamics in atomically thin semiconductors by tailoring the environment
, , et al., Physical Review B: Condensed Matter and Materials Physics 2021 Vol. 103 No. 8 P. 085302-1-085302-12
The exciton valley dynamics in van der Waals heterostructures with transition metal dichalcogenide monolayers is driven by the long-range exchange interaction between the electron and the hole in the exciton. It couples the states active in the opposite circular polarizations resulting in the longitudinal-transverse splitting of excitons propagating in the monolayer plane. Here we study ...
Added: March 5, 2021