Technique for Simulation of Black Sea Circulation with Increased Resolution in the Area of the IO RAS Polygon

A numerical technique is presented for simulating the hydrophysical fields of the Black Sea on a variable-step grid with refinement in the area of IO RAS polygon. Model primitive equations are written in spherical coordinates with an arbitrary arrangement of poles. In order to increase the horizontal resolution of the coastal zone in the area of the IO RAS polygon in the northeastern part of the sea near Gelendzhik, one of the poles is placed at a land point (38.35° E, 44.75° N). The model horizontal resolution varies from 150 m in the area of the IO RAS polygon to 4.6 km in the southwestern part of the Black Sea. The numerical technique makes it possible to simulate a large-scale structure of Black Sea circulation as well as the meso- and submesoscale dynamics of the coastal zone. In order to compute the atmospheric forcing, the results of the regional climate model WRF with a resolution of about 10 km in space and 1 h in time are used. In order to demonstrate the technique, Black Sea hydrophysical fields for 2011–2012 and a passive tracer transport representing self-cleaning of Gelendzhik Bay in July 2012 are simulated.     

Study of long-term variability of Black Sea dynamics on the basis of circulation model assimilation of remote measurements

The Black Sea dynamics for two decades (1993–2012) is analyzed. The study is carried out in numerical simulation with the use of a circulation model and assimilation of satellite measurements of free surface elevations and sea-surface temperatures (SSTs). The Black Sea circulation model has a spatial resolution of 4.8 km and 35 vertical levels, which thicken toward the surface. Arrays of ERA-Interim data are used for simulating the atmospheric forcing. A set of 3D arrays of the Black Sea hydrophysical fields is calculated on a regular grid with a time resolution of 24 h. The results are analyzed and compared with available contact measurements of temperature and salinity. This comparison shows a quite good quality of the resulted hydrophysical fields of the Black Sea.     

A numerical experiment on modelling synoptic eddies in the Black Sea during the summer season

An energetically-balanced model has been used to perform an eddy-resolving experiment on the calculation of the baroclinic circulation in the Black Sea. As the initial and boundary conditions, historical data on the density and tangential wind stress for the summer season have been used. Following the integration of a set of model equations, an array of anticyclonic eddies formed on days 50–60 on the margins of the Black Sea rim current. Off the Caucasus, Crimean, and Bulgarian coast, anticyclonic eddies are shown to be quasi-stationary. The north-western Black Sea and Anatolia coastal zone are areas of Black Sea rim current instability, where synoptic eddies — both cyclonic and anticyclonic — are generated.Translated by Vladimir A. Puchkin.     

渤、黄、东海夏季环流的三维斜压模型

基于拉格朗日时均观点描述环流，建立起潮流与准定常流共同占优势系统中的陆浅海环流模型，并诊断计算了夏季渤、黄、东海的三维环流图。模拟结果较好地再现了渤、黄、东海主要流系的特征。对照冬季结果，对渤、黄、东海环流的季节变化做了阐述。从环流垂向分量的分布图上，可发现渐闽近海、长江口外存在较明显的上升流区。另外，对夏季渤、黄、东海的热盐环流和潮致余流分别进行了模拟，发现它们均能在黄海构成一逆时针向的五流系统，这对形成和维持夏季黄海冷水团的存在有重要作用。热盐环流的模拟结果表明，黄海冷水团环流含有“热成流”的成分；通过Lagrange余流的计算发现环绕黄河冷水团的环流还含有“潮成流”的成分。     

Mesoscale structure of the fields of vertical velocity and vorticity of winds over the Black Sea

On the basis of a simple stationary linear model and a contemporary nonlinear model, we study the mesoscale characteristics of the fields of vertical velocity and vorticity of winds over the Black Sea. It is shown that, in the idealized case (without taking into account the coastal features), the temperature contrast between the land and the sea in both models leads to the formation of circulation cells in the coastal zone. However, the mountainous features prove to be the main factor affecting the process of circulation for the actual synoptic situations. We present the map of monthly average vorticity of the surface winds constructed according to the nonlinear mesoscale model with a resolution of 30 km for January 1996–2001. __________ Translated from Morskoi Gidrofizicheskii Zhurnal, No. 1, pp. 52–61, January–February, 2005.     

Simulations of currents and pollution transport in the coastal waters of Big Sochi

We suggested a method for modelling the transport of pollutants over the Black Sea water basin adjacent to Big Sochi. The model is based on the application of the Institute of Numerical Mathematics Ocean Model (INMOM) over the entire basin of Big Sochi in two versions: M1 and M2. In the first version, we use uniform spatial resolution of the model with a step of ～4 km; in the M2 version, the resolution is not uniform. The step decreases to 50 m in the basin of Big Sochi. The M2 version is used only in the periods when pollution transport is simulated, for which the initial hydrothermodynamic state is specified from the M1 version. Both versions reflect a complex character of Black Sea circulation; however, the M2 version more adequately reproduces the eddy circulation in its eastern part, where the horizontal resolution of the M2 version is higher. A conclusion is made on this basis that, in order to reproduce the eddy structure of the Black Sea circulation, the resolution of the model should be on the order of 1.5 km and the main factor of the formation of the quasi-stationary Batumi anticyclonic eddy is the topographic peculiarities in this part of the sea. The pollution spreading from the Sochi, Khosta, and Mzymta rivers and from 18 pipes of deep-water sewage was simulated for the flood periods from April 1, 2007, to April 30, 2007. It was shown that mesoscale eddy formations that form a complex three-dimensional structure of pollution spreading make the greatest contribution to the spread of pollution.     

Seasonal variability of climatic currents in the Caspian Sea reconstructed by assimilation of climatic temperature and salinity into the model of water circulation

We present the results of an analysis of the seasonal variability of current fields in the Caspian Sea, reconstructed by assimilation of climatic temperature and salinity into the primitive-equation model of water circulation on the basis of an algorithm for adaptive statistics of prediction errors. The sources in heat and salt transfer-diffusion equations depend on the spatial and temporal variability of the variances of prediction errors and one-dimensional (in the vertical coordinate) variances of measurement errors for temperature and salinity. The variances of prediction errors are adjusted at the moments of data assimilation in accordance with a simplified Kalman filter. The climatic circulation of waters in the Caspian Sea is shown to be highly varying. The maximum of its intensity over the entire depth is reached in February. The minimum of kinetic energy is observed in April. The currents in deep-sea areas are determined by the balance between wind and baroclinic factors of the formation of circulation with wind currents prevalent.     

Variations of the seasonal behavior of geostrophic circulation in the Black Sea

On the basis of the results of processing of the archival hydrological data, we analyze the seasonal behavior of geostrophic circulation in the Black Sea and its long-term variations. It is shown that the variations of currents on the decadal time scales with different manifestations in different seasons lead to changes in the characteristics of the seasonal course of geostrophic circulation in the second half of the last century. The intensification of winter circulation and weakening of summer circulation observed since the mid-1970s result in the increase in the amplitude of the annual course of current velocity on the sea surface. We also discuss possible causes of variations in the intensities of geostrophic currents in the Black Sea.     

Numerical modeling of hydrophysical fields of the Black Sea under the conditions of alternation of atmospheric circulation processes

The hydrological regime of the Black Sea in the conditions of permanent alternation of atmospheric circulation processes was investigated on the basis of a baroclinic prognostic model of the sea dynamics. In the model, variations in the wind action were expressed as permanent alternation of 24 wind types characteristic of the Black Sea basin throughout the year. Thermohaline impact of the atmosphere was taken into account by specifying the annual trends of temperature and salinity at the sea surface, which was established from multiyear means of these parameters. The problem was solved numerically on the basis of the method of two-cycle splitting with the use of the grid with a horizontal spacing of 5 km. Results of the numerical experiment showed that, under the influence of a strong nonstationarity of atmospheric processes, the water circulation in the upper layer of the Black Sea changes qualitatively and quantitatively. The upper 20–30-m layer of the sea is particularly sensitive to atmospheric circulation variations. For any character of atmospheric circulation, the Black Sea circulation below this layer is nearly always cyclonic with internal cyclonic rotations.     

Modeling of Long-Term Evolution of Hydrophysical Fields of the Black Sea

The long-term evolution of the Black Sea dynamics (1980–2020) is reconstructed by numerical simulation. The model of the Black Sea circulation has 4.8 km horizontal spatial resolution and 40 levels in z-coordinates. The mixing processes in the upper layer are parameterized by Mellor-Yamada turbulent model. For the sea surface boundary conditions, atmospheric forcing functions were used, provided for the Black Sea region by the Euro mediterranean Center on Climate Change (CMCC) from the COSMO-CLM regional climate model. These data have a spatial resolution of 14 km and a daily temporal resolution. To evaluate the quality of the hydrodynamic fields derived from the simulation, they were compared with in-situ hydrological measurements and similar results from physical reanalysis of the Black Sea.     

Subsatellite polygon for studying hydrophysical processes in the Black Sea shelf-slope zone

The first data on the creation of the subsatellite polygon on the Black Sea shelf and continental slope in the Gelendzhik area (designed in order to permanently monitor the state of the aquatic environment and biota) and the plans for maintaining and developing this polygon are presented. The autonomous measuring systems of the polygon in the composition of bottom stations with acoustic Doppler current profilers (ADCP), Aqualog robotic profilers, and thermo-chains on moored buoy stations should make it possible to regularly obtain hydrophysical, hydrochemical, and bio-optical data with a high spatial-time resolution and transmit these data to the coastal center on a real-time basis. These field data should be used to study the characteristics and formation mechanisms of the marine environment and biota variability, as well as the water-exchange processes in the shelf-deep basin system, ocean-atmosphere coupling, and many other processes. These data are used to calibrate the satellite measurements and verify the water circulation numerical simulation. It is assumed to use these data in order to warn about the hazardous natural phenomena and control the marine environment state and its variation under the action of anthropogenic and natural factors, including climatic trends. It is planned to use the polygon subsatellite monitoring methods and equipment in other coastal areas, including other Black Sea sectors, in order to create a unified system for monitoring the Black Sea shelf-slope zone.     

Lagrangian Transport by Currents Variable in Time in the Model of Wind-Induced Circulation of the Black Sea

We construct a simple model of seasonal variability of circulation in the Black Sea, which satisfactorily explains the data of altimetric satellite observations. The model is used to describe the nonstationary wind-induced currents in a round basin and study the trajectories of water particles in the surface layer of the sea. It is shown that, for nonstationary currents, these trajectories can be quite complicated. It is also assumed that Lagrangian mixing can be caused by the complex trajectories of water particles.     

Intercomparison of three South China Sea circulation models

1IntroductionTheSouthChinaSeaisthelargesttropicalmarginaldeepsealocatingbetweenthewesternPacificOceanandtheeasternIndianOcean.AsapartofAsia-Australiamaritimecontinent,monsoonisaprimaryfactorforcingtheSouthChinaSeaCurrent(SCSC)variation.Drivenbynortheasterlymonsooninwinterandsouth-westerlymonsooninsummer,respectively,theSCSCbehavesacyclonicgyreandananticy-clonicgyre,correspondingly(Wyrtki,1961;Xuetal.,1982).Owingtotheshortageandexpen-sivenessofdirectobservationsintheSCS,fur-therunder…     

Breeze circulation in the black-sea region

We study the characteristic features of the breeze circulation in the Black-Sea region according to the data of the regional reanalysis of atmospheric circulation carried out on the basis of the MM5 mesoscale model for August 2007 by the method of difference composites. The application of high space resolution of the model (the step of the grid is equal to 9 km) allows us to reproduce the principal features of the sea and land breezes on c the composite maps. It is shown that the space structure of breeze circulation is determined by the configuration of the coastline and coastal orography.     

Model of the Baltic Sea’s dynamics with nonhydrostatic effects on a triangular grid

A numerical model of the sea’s thermohydrodynamics with a finite-difference approximation of the equations of the nonhydrostatic dynamics on a grid with a triangular form of the horizontal section of its element is formulated. The slope of the lower side of the grid’s bottom cell is determined by the given linear profile of the bottom relief. Within the shallow-water approach, the dispersion relations of the B and C grids and the developed discrete model are compared; the results of tests for different approximations of the bottom relief for a rectangular basin are given and analyzed. The developed model of the thermohaline dynamics is used for studying the influence of the nonhydrostatic effects on the circulation of the Baltic Sea and a part of Vistula Bay. The comparison of the simulation results obtained according to the version with the full equation of the vertical momentum and to that using the hydrostatic approach shows the influence of the effects of the nonhydrostatic dynamics on the structure of the simulated fields even with small horizontal resolution (the step of the grid is 3.5 km). This is manifested in the strengthening of the field of the vorticity and the increasing of the sea level gradients and the velocities of the horizontal currents, whose growth reaches 1.5 cm/s.     

Sub-inertial oscillations in the Black Sea generated by the semidiurnal tidal potential

The Black Sea shelf is a region of intense manifestation of various dynamical processes. Under the influence of different natural forces, eddy-wave phenomena develop here, which influence the general circulation of sea waters, biological productivity, and the condition of the engineering structures. Modern numerical models allow us to simulate and analyze the processes of the joint dynamics of marine circulation and large-scale waves. In this work, we study the spatiotemporal spectral characteristics of the sea level and velocity fluctuations formed due to atmospheric forcing and tidal potential. The hydrophysical fields are calculated using the Institute of Numerical Mathematics, Russian Academy of Sciences (INM RAS), σ model based on primitive equations. We use the CORE data as atmospheric forcing at the sea surface; the tidal potential is described by the semidiurnal lunar constituent M₂. Analyzing the simulation results makes it possible to emphasize that accounting for the semidiurnal tidal potential not only improves the accuracy of the sea-level calculation at coastal stations, but also generates subinertial baroclinic oscillations previously found in the Black Sea from the data of in situ observations.     

夏季风场对长江冲淡水扩展影响的数值模拟

建立一个σ坐标系下三维非线性斜压陆架模式，研究长江冲淡扩展的动力机制。数值试验再现了夏季长江冲淡水转向东北的现象，夏季风场对长江冲淡水扩展的影响，取决于风速的大小和动向，风速为３ｍ／ｓ的南风，对冲淡水向北扩展的影响比较明显，而当南风风速达到６ｍ／ｓ时，则起着十分显著的作用，西南风加强了冲淡水向东扩展，但对南北向的扩展影响甚微，东南风抑了冲淡水向东扩散，并使之偏向西北，明确阐明了夏季风场对冲淡水扩展     

Numerical modelling of the propagation of tsunami waves in the crimean peninsula shelf zone

The paper analyses the effect of non-linearity and bottom friction on propagation of tsunami-type surface waves from the abyssal part of the Black Sea towards the shelf zone. The study relies, on numerical solution of unidimensional non-linear equations for long waves, using the finite-difference technique. Numerical experiments have been conducted for the bottom profile continental slope and shelf, with the full wave reflection being prescribed at a 10-m depth contour. It has been shown that the major role in transforming solitary waves belongs to non-linear topographic factors rather than to dissipation. The reflected wave has been found to be non-linearly distorted, and wave heights in the Black Sea coastal zone have been found to increase by many times. Translated by Vladimir A. Puchkin.     

南海环流的三维数值模拟

本文采用Backhaus的三维海流模式,运用半隐式及C-网格方法求解基本方程,对南海各季的平均海流流场进行了数值模拟。将模拟结果与已有的研究结果进行比较,其主要流系基本上是相符的,夏季表层基本上为一反气旋型环流;冬季则转变成气旋型;在冬季,从50m层起开始显露出“南海暖流”的存在。这些表明南海海流的某些主要特征基本上已经被此模型成功地再现出来,同时此模型又给出了垂直方向各层的海流情况,在目前尚缺乏深层实测海流资料的情况下,上述深层海流的模拟结果有一定参考意义。