ABSTRACT A kinematics model of the ship wake in presence surface waves, generated by wind is presented. It was found that stationary wave structure behind covered a wedge region with 16.9° half an angle at top and only divergent waves are present for co propagating waves. Wind field directed some nonzero to motion can cause essential asymmetry compressing its windward half. The extension Whitham-Lighthill theory intermediate sea depth also essentially depends from Froude ( Fr ) number based...

Physical mechanisms of the radar imaging ocean surface are reviewed. The resonant and nonresonant microwave radiation scattering from considered, analyzed, compared based on 20 years authors' own theoretical experimental work, publications by other research teams. facts that cannot be explained models analyzed in detail, this connection significant contribution mesoscale breaking waves to at grazing angles is justified. characteristic features most probable various phenomena deep atmosphere...

A novel model of discretized energy cascade generated by Benjamin-Feir instability is presented. Conditions for appearance direct and inverse cascades are given explicitly, as well conditions stabilization the wave system due to termination. These results can be used directly explanation available laboratory experiments basic forecast scenarios planned experiments, depending on frequency an initially excited mode steepness its amplitude.

We theoretically analyse the impact of subsurface currents induced by internal waves on nonlinear Stokes surface waves. present analytical and numerical solutions modulation equations under conditions that are close to group velocity resonance. Our results show smoothing downcurrent is accompanied a relatively high-frequency modulation, while profile opposing current reproduced wave's envelope. confirm possibility generating an wave forerunner modulated packet. Long can create such ahead...

The paper is based on review of research articles by the authors, with purpose to demonstrate that modulational-instability mechanism active in typical directional wave fields. If so, possible limits for height due such can be outlined. modulational instability lead occurrence very high waves, which either proceed breaking or appear as rogue events, but it was derived and usually associated two-dimensional trains. There exists argument, both analytical experimental, this kind impaired even...

Numerous laboratory and field experiments on nonlinear surface wave trains propagating in deep water (Lake & Yuen 1978; Ramamonjiarisoa Mollo-Christensen 1979; 1982; Melville 1983) have showed a specific modulation that so far has not been explained by theories. Typical effects were the so-called phase reversals, negative frequencies, crest pairing, experimentally observed some portions of modulated train. In present paper, order to explain these manifestations, equations for wavenumber,...

We present the kinematic model of ship wake in presence horizontal subsurface current linearly varying with depth water. An extension Whitham–Lighthill theory for calm water is developed. It has been established that structure waves under action a shear flow can radically differ from classical Kelvin model. Co propagating and lead to increasing total wedge angle up full one 180° decreases counter current. At relatively large unidirectional values current, cusp vicinity boundary are...

Физические механизмы формирования аэрокосмических радиолокационных изображений океана, Булатов М.Г., Кравцов Ю.А., Лаврова О.Ю., Литовченко К.Ц., Митягина М.И., Раев М.Д., Сабинин К.Д., Трохимовский Ю.Г., Чурюмов А.Н., Шуган И.В.

Abstract. An analytical weakly nonlinear model of the Benjamin–Feir instability a Stokes wave on nonuniform unidirectional current is presented. The describes evolution and its two main sidebands propagating slowly varying steady current. In contrast to models based versions cubic Schrödinger equation, variations could be strong, which allows us examine blockage consider substantial numbers frequencies interacting waves. spatial scale variation assumed have same order as (BF) instability....

The two-way coupling model for wave motion in a two-phase medium “fluid–elastic walls” accounting interaction between those phases is considered within the frames of boundary layer type approximation. An asymptotic linearized including Navier–Stokes equations viscous incompressible fluid and deformable plate elastic walls analyzed wide range governing parameters variations. dispersion relationship different Reynolds numbers shows oscillation regimes. structure flow studied detail two limit...

We present a theoretical study of bichromatic weakly non-collinear Airy-type waves propagating with various amplitudes in water infinitedepth. The coupled nonlinear Schrödinger equations are invoked to the behavior self- and cross-interacting Airy wave packets. Wedemonstrate that pulses possess main properties single packets—shape invariance self-acceleration or selfdeceleration—when dispersive medium. Accounting for nonlinearity leads strong dependence...

The run-up of a vortex hydrodynamic bore onto an inclined beach is the subject this study. To theoretically analyze problem, we use Benny equations, which, within shallow water model, allow us to take into account distribution horizontal fluid velocity along depth layer. We show that presence shear flow behind significantly modifies different regimes motion toward shoreline depending on its strength. subsequent collapse near with release high-speed jet dry shore also modulated by degree...

The effect of subsurface currents induced by internal waves on nonlinear surface is theoretically analyzed. An analytical and numerical solution the modulation equations are found under conditions close to group velocity resonance. It shown that smoothing down current accompanied a relatively high‐frequency while profile opposing reproduced wave's envelope. Long can form wave forerunner ahead wave, short create trace wave.

We present a theoretical study of bichromatic weakly non-collinear Airy-type waves propagating with various amplitudes in water infinite depth. The coupled nonlinear Schrödinger equations are invoked to the behavior self- and cross-interacting Airy wave packets. demonstrate that pulses possess main properties single packets—shape invariance self-acceleration or self-deceleration—when dispersive medium. Accounting for nonlinearity leads strong dependence structure, stability, propagation...