Coupled modeling of currents and wind waves in the Kerch Strait

We present a numerical model of the dynamics of the Kerch Strait allowing one to perform the coordinated analysis of the fields of currents and wind waves. The model includes the spectral wave module and the hydrodynamic block of currents. The influence of waves on the currents is taken into account in the hydrodynamic block both via the surface and bottom tangential stresses and via the radiation stresses. In order to take into account the inverse influence of currents upon the waves, we use the fields of currents and sea level from the hydrodynamic block in the wave module. The specific features of the structure of currents and wind waves in the strait are studied for the typical wave situations. The results of the coupled and separate simulation are compared and the importance of taking into account the mechanisms of interaction between waves and currents in the analysis of the dynamic processes in the strait is demonstrated. __________ Translated from Morskoi Gidrofizicheskii Zhurnal, No. 5, pp. 3–20, September–October, 2007.     

Investigation of the Dependence of the Space Structure and Phase Characteristics of the First-Mode Internal Waves in the Atlantic Ocean on the Hydrological Conditions

By using the linear theory of internal waves in a continuously stratified ideal incompressible liquid of finite depth and hydrological data, we study the dispersion properties and space structure of the vertical velocity of the first mode of free internal waves in the Atlantic Ocean. The dependence of the characteristics of waves on the hydrological structure of waters is analyzed. __________ Translated from Morskoi Gidrofizicheskii Zhurnal, No. 4, pp. 3–10, July–August, 2005.     

Evaluation of the Parameters of Tsunami Waves along the South Coast of the Crimean Peninsula

Within the framework of a nonlinear model of long waves, we present the estimates of the parameters of tsunami waves along the south coast of the Crimean Peninsula (from Cape Khersones to Cape Meganom) with a space resolution of 2.5 km. The numerical analysis is carried out for four typical positions of the elliptic zones of generation and the range of magnitudes 6.5–7.5. We study the space structure of waves and determine the amplitudes and periods of oscillations of the level at 11 points of the analyzed part of the coastline of the Black Sea. __________ Translated from Morskoi Gidrofizicheskii Zhurnal, No. 3, pp. 3 – 10, May–June, 2005.     

Characteristics of trapped topographic waves in the northwest part of the Black Sea

We study trapped baroclinic topographic waves in the northwest shelf of the Black Sea for the actual slopes of the bottom and stratification. The time scales of trapped waves are determined. The space scales of the amplitude of oscillations are computed. It is shown that the vertical distribution of the amplitude of oscillations is in qualitative agreement with the experimentally observed distribution. The energy of topographic waves trapped by the sloping bottom is concentrated in the bottom layer, which agrees with the data of measurements. __________ Translated from Morskoi Gidrofizicheskii Zhurnal, No. 5, pp. 44–52, September–October, 2006.     

On the transformation of the chemical composition of the Volga River discharge waters at the Caspian shallows

The Volga River discharge consists of the waters transferred by fast currents through channels and the waters which are passing through the shallow areas of the delta overgrown by cane. Using the hydrochemical data, it is possible to track distribution of the waters modified by “biofilters” of macrophytes in the delta shallows starting from the external edge of the delta. The main distinctive features of these waters are the high content of dissolved oxygen, the abnormally high values of the pH, and the low content of dissolved inorganic carbon (both total and as CO₂). These waters extend in the shape of 1 to 3-km-wide strips at a distance of 20–40 km from the outer border of the delta. The analysis of the data obtained during the expeditions run by the Institute of Oceanology of the Russian Academy of Sciences in 2003–2009, along with archived and published data, show that such “modified” waters occur almost constantly along the outer edge of the Volga River delta.     

Investigation of wind-induced solitary waves in a circular aerohydrochannel

The mechanisms of initiation and interaction of wind-induced solitary waves in a circular aerohydrochannel are experimentally investigated. We study the influence of flotation (floating mass) and surface-active substances on the time of formation of a soliton and its parameters. It is shown that the increase in the concentration of surface-active substances and the amount of flotation leads to an increase in the time of initiation wind-induced solitary wave. It is shown that, in the case of small difference between the amplitudes of the interacting solitons, they behave as particles. In the case where the difference between the amplitudes is significant, the larger soliton passes through the smaller, which leads to the formation of a single soliton as a result of multiple interaction between the original solitons. __________ Translated from Morskoi Gidrofizicheskii Zhurnal, No. 5, pp. 53–61, September–October, 2006.     

Resonance three-wave interactions of stokes edge waves

Nonlinear three-wave interactions of Stokes edge waves propagating both in one direction and in opposite directions along a uniformly sloping shelf are considered. In the cases when only the lowest four modes participate in interaction, the synchronism conditions are determined and interaction coefficients are calculated. It is shown that the interaction coefficients of unidirectional edge-wave modes can vanish for certain triads. The spatiotemporal dynamics of a triad of edge waves is investigated. In addition, expressions are given for the resonance interaction coefficients of edge waves over the bottom of an arbitrary profile.     

Generation of quasiinertial internal waves in the process of evolution of local perturbations in the ocean

Within the framework of a linear model of long waves in a two-layer ocean, we obtain the analytic solution of the problem of evolution of an axially symmetric initial displacement of the jump of density. In the process of adaptation of the fields, internal waves in the form of a decaying (in time) wave packet are emitted from the zone of initial perturbation. These waves are quasiinertial and their dispersion is conditioned by Earth’s rotation. We study the time evolution of the wave packet and the dependence of its characteristics on the width of the zone of initial perturbation and the depth of the jump of density. __________ Translated from Morskoi Gidrofizicheskii Zhurnal, No. 2, pp. 12–23, March–April, 2006.     

Longitudinal dispersion in wave-current-vegetation flow

The flow, turbulence, and longitudinal dispersion in wave-current flow through submerged vegetation are experimentally examined. Laboratory experiments are carried out by superimposing progressive waves on a steady flow through simulated submerged vegetation. The resultant wave-current-vegetation interaction shows strong interface shear with increase in the velocity due to the wave-induced drift. The increase in turbulence in the region of vegetation is found to be about twice higher than in the no-wave case due to the additional mixing by wave motions. Solute experiments are conducted to quantify the wave-current-vegetation longitudinal dispersion coefficient (WCVLDC) by the routing method and by defining length and velocity scales for the wave-current-vegetation flow. An empirical expression for the WCVLDC is proposed. Although the increase in vertical diffusivity is observed as compared with bare-bed channels, the shear effect is stronger, which increases the value of the WCVLDC. The study can be a guideline to understand the combined hydrodynamics of waves, current, and vegetation and quantify the longitudinal dispersion therein. Published in Morskoi Gidrofizicheskii Zhurnal, No. 1, pp. 50–67, January–February, 2009.     

Low-frequency variations of the characteristics of pycnocline in the North Atlantic and their correlation with the North-Atlantic oscillation

On the basis of processing of the oceanographic data accumulated for the water area of the North Atlantic in 1950–1999 (∼500,000 stations), we study seasonal and interannual variations of the principal characteristics of pycnocline within the range of σ_t = 25.5–27.5 conventional density units. It is shown that the interannual oscillations of these characteristics in the entire analyzed layer can be regarded as a superposition of fluctuations with periods from 2–3 to 10–12 yr. The typical ranges of these fluctuations for the depths of occurrence of isopycnic surfaces and the corresponding temperature and salinity are equal to 20–25 m, 1–1.5°C, and 0.25‰, respectively. The intensification of atmospheric circulation at middle latitudes is accompanied by the simultaneous deepening of the pycnocline and its heating in the central part of the North Subtropical Anticyclonic Gyre. At the same time, the process of weakening of the atmospheric circulation leads to the rise of the pycnocline and its cooling. The complete cycle of interaction of the North-Atlantic Oscillation with the anomalies of isopycnic characteristics (with regard for the period of their advection) is equal to ∼6–8 yr. __________ Translated from Morskoi Gidrofizicheskii Zhurnal, No. 2, pp. 29–48, March–April, 2007.     

Development of Forced Nonlinear Waves in a Bounded Basin

The process of development of nonlinear oscillations of the free surface of a fluid caused by the action of a periodic mass force in a bounded basin is numerically studied within the framework of the theory of long waves. The action of dissipative forces is taken into account. The effect of nonlinearity and geometric characteristics of the basin on the parameters of the generated wave field is analyzed. __________ Translated from Morskoi Gidrofizicheskii Zhurnal, No. 5, pp. 3–12, September–October, 2005.     

Influence of the Space Distribution of Atmospheric Pressure on the Structure of Free Wave Surface in a Basin of Variable Depth

Within the framework of the linear theory of long waves, we study forced oscillation of liquid in a ring basin of variable depth by using numerical methods. As a generator of waves, we use periodic (in time) variations of atmospheric pressure. The action of the Coriolis force is taken into account. The liquid is regarded as homogeneous and inviscid. We analyze the dependences of the structure of the free wave surface (the number and location of nodal lines) on the period and space distribution of disturbing pressures. __________ Translated from Morskoi Gidrofizicheskii Zhurnal, No. 2, pp. 11–23, March–April, 2005.     

Generation of internal waves by a semidiurnal barotropic tide in the Mid-Atlantic ridge area

Internal waves occurring in the specific Mid-Atlantic ridge area as a result of the impinging of a barotropic tide are studied in the terms of the linear theory for surface waves. The ocean is assumed to be double-layered, with a tidal wave running onto it at an arbitrary angle. The dependences of the wave amplitudes and horizontal velocities on the angle of run-on of a tidal wave are derived. Similar studies for the model bottom topography have been reported in refs 1–3. Translated by Vladimir A. Puchkin.     

Run-Up of a Solitary Tsunami Wave on a Sloping Coast

Within the framework of the nonlinear theory of long waves, we perform the numerical analysis of the one-dimensional run-up of solitary tsunami waves upon a plane sloping coast. We study the dependences of the run-up heights on the parameters of waves at the entrance of the shelf zone and on the slope of the coast. The run-up heights of tsunami waves are estimated for the bottom topography typical of the south coast of the Crimean Peninsula. __________ Translated from Morskoi Gidrofizicheskii Zhurnal, No. 4, pp. 11–18, July–August, 2005.     

边缘波研究进展

由于折射作用,在波浪近岸传播过程中会出现一种特殊的、沿着岸线传播的波浪,这种波浪被称为边缘波。边缘波平行于岸线传播,其振幅在岸线处最大,在远离岸线的方向,其振幅呈指数型减小,它们的能量基本被限制在离海岸一波长的距离之内,因此边缘波对近岸地区工程、地貌等有着重要影响。本文对边缘波的研究历史、研究进展进行了阐述,主要介绍了以下几个方面：（1）基于不同控制方程、不同地形上的边缘波理论;（2）实际观测到的边缘波特性;（3）物理模型试验中边缘波的造波方式以及观测到的边缘波特性;（4）数值模拟方法在边缘波研究中的应用。最后,展望了边缘波在未来的研究趋势。     

Spectra of the Black-Sea tsunamis

We perform the analysis of the time spectra of four tsunamis generated in the Black Sea by the earthquakes of 26.07.1927, 11.09.1927, 26.12.1939, and 12.07.1966. For the analysis of the spectra, we used digitized marigrams obtained for 12 points of the Black-Sea coast. The obtained spectra are, as a rule, multimode and have 1–4 spectral maxima. One maximum corresponds to the periods typical of tsunami waves and the other maxima correspond to the oscillations of the sea level with lower frequencies. It seems likely that the events of tsunami are accompanied by low-frequency oscillations of the level caused by the atmospheric forcing, seiches, or other factors. In numerous cases, the oscillations from the predominant energy range lie outside the characteristic range of periods of the tsunami waves. __________ Translated from Morskoi Gidrofizicheskii Zhurnal, No. 5, pp. 21–30, September–October, 2007.     

Effect of vertically logarithmic steady currents on shallow surface waves

The combined wave-current flow has been solved by researchers by assuming wave over either depthwise constant or linear current profile. Some complicated nonlinear current profiles have also been considered to simulate various shear currents. We consider a nonlinear current vertically logarithmic in nature and examine its interaction with a periodic surface wave. The Navier-Stokes equations for incompressible flow are solved for the current part and by using periodic boundary conditions. The effect of logarithmic current on wave components is assessed. The corresponding celerity and dispersion equation yields a close-form solution for the shallow-wave approximation. Several comparative trends between wave-only, wave with log current, and wave with constant current for the wave following/opposing these currents have been discussed. The flow properties of the first order are presented which can be applicable to the real inland and coastal flows, where progressive waves are ubiquitous over a depthwise logarithmic current. The work is further extended to the second-order semiempirical wave component by using past experimental data on the wave spectrum of combined flow. Published in Morskoi Gidrofizicheskii Zhurnal, No. 3, pp. 20–40, May–June, 2008.