Estuarine, Coastal and Shelf Science (2002) 54, 601–620 doi:10.1006/ecss.2000.0668, available online at http://www.idealibrary.com on Coastal–open Ocean Exchange in the Black Sea: Observations and Modelling E. V. Staneva,f, J. M. Beckersb,g, C. Lancelotc, J. V. Stanevad,h, P. Y. Le Traone, E. L. Penevaa and M. Gregoireb,i a Department of Meteorology and Geophysics, University of Sofia, 5 James Bourchier Street, 1126 Sofia, Bulgaria Université de Liège, GHER, Sart-Tilman B5, B-4000 Liege, Belgium c Universite Libre de Bruxelles, Ecologie des Systèmes Aquatiques, Campus de la Plaine, CP 221, Boulevard du Triomphe, B-1050 Bruxelles, Belgium d National Institute of Meteorology and Hydrology, Sofia, Bulgaria e CLS–Space Oceanography Division, Toulouse, France b Received October 1998 and accepted in revised form February 2000 The interaction between physical and biological processes in the areas of continental margins governs the variability of ecosystems. The complexity of processes in these areas requires detailed studies combining modelling and surveying efforts. One promising step in this direction was undertaken in the framework of the EROS 21 project, focusing on the shelf part of the north-western Black Sea. In the present paper, we focus on the results of physical studies aiming to improve the understanding of the fundamental exchange processes in the ocean margins, as well as to quantify some of them in the Black Sea. We illustrate the capabilities of circulation models to reproduce physical processes with different time- and space-scales: coastal waves, internal waves, baroclinic Rossby and topographic waves. Another class of important phenomena in the coastal zone is associated with convection. Sources at the sea surface and in the outflow areas give rise to plume dynamics that play a crucial role in the vertical mixing and provide the mechanism for water-mass formation. Most of the results are illustrated for the shelf part of the Black Sea. The verification of simulations is performed by comparison with survey data, altimeter data from the Topex/Poseidon mission and radiotracer observations. The latter, in combination with simulations from circulation models, are used to trace the penetration of tracers into the intermediate and deep layers. We show that although most 90Sr is introduced by river runoff, large amounts of this signal penetrate the halocline in the Bosphorus Straits area and along the southern coast. Another important fraction of the river water penetrates the intermediate layers at the shelf edge in the north-western Black Sea. 2002 Elsevier Science Ltd. All rights reserved. Keywords: coastal waves; upwelling; circulation; internal mixing; water mass formation; ventilation of coastal zone Introduction The coastal zone covers only 8% of the entire ocean surface, but its role is dominant for most processes, particularly those related to the exchange between land and ocean. This key area includes estuaries and deltas and the entire region between the shoreline and the beginning of the deep ocean. It provides a boundary layer for physical, chemical and biological processes. Growing interest in better quantifying the export from/into the coastal zone results from its f Corresponding author. Present address: ICBM, University of Oldenburg, Postfach 2503, D26111 Oldenburg, Germany. Tel: +49-44-1798 4061; Fax: +49-44-1798 3404. E-mail: [email protected] g Research Associate, National Fund for Scientific Research, Belgium. h Present address: Alfred-Wegener-Institut for Polar and Marine Research, PO Box 120101, 27515 Bremerhaven, Germany. i Researcher, National Fund for Scientific Research, Belgium. 0272–7714/02/030601+20 $35.00/0 importance for the functioning of ecological and sedimentological systems. As is well known, an important part of nutrients available to coastal ecosystems is supplied from the land. This, along with the favourable physical conditions, maintains a very high primary production (about one quarter of the primary production in the ocean is due to the coastal ocean). Part of this material settles on the bottom and another part enters the deep ocean. The ratio between the two is not well known, but it is accepted that it greatly varies in different ocean margins. This motivates interdisciplinary studies on the ventilation of the coastal zone, that is the exchange between coastal waters and open-ocean, and the fate of organic matter produced and imported. The Black Sea is a basin where such exchanges are of prime importance and must be correctly understood. It is a deep basin (greatest depths of about 2002 Elsevier Science Ltd. All rights reserved. 602 E. V. Stanev et al. 2200 m), with a large shelf and continental slope covering 30–40% of its surface. This land-locked basin is located in the temperate and subtropic climatic zone, having a negative freshwater balance at its surface caused by excess evaporation (evaporation minus precipitation yields about 50 km3 per year, with } zsoy & U } nluata, precipitation of 300 km3 per year; O 1998. However, it is its wide drainage area, covering a large part of Europe and Asia and providing a total of fresh water supply of about 350 km3 per year that makes it very different from most other seas in temperate and subtropical areas. The excess fresh water at the surface of the Black Sea, the restricted exchange with the Mediterranean Sea through the Straits of Bosphorus and the basin shape and topography have fundamental consequences for its physical system, creating a unique chemical and biological environment. The river runoff affects most of the physical characteristics, which makes them strongly dependent on the hydrological cycle over large areas of Europe, as well as on coastal processes. This dependency is even stronger for the biological processes, since the latter are affected by the pollution of river waters originating from a vast area of Europe. This has resulted in the well-known eutrophication, observed over the past 30 years, and in the complete deterioration of the Black Sea ecosystem. Eutrophication is known as a process of intensive algal bloom, which has a strong local dependency. The cause, characteristics and, in particular, the quantification of the processes associated with the recent changes are not easily addressed from the point of view of observations, since the data are too sparse. Much can be done using numerical simulations, and an illustration of this is given by Lancelot et al. (2002) in this issue. However, the physical and biological processes governing the accumulation of biomass require us to address this phenomenon as three-dimensional, and deal with mass fluxes due to currents and turbulence. In this paper, we will illustrate the progress made in the understanding of physical issues that are directly related to the functioning of the biological systems, and we will compare some simulations with in situ and satellite data from surveys and remote sensing. Since the coastal–open ocean exchange is not a local process, we will analyse the circulation using basin-wide data and numerical simulations. Further details on the dynamics and biological transformations can be found in the accompanying papers (in this issue) of Beckers et al. (2002) and Lancelot et al. (2002). Instead, the present paper details and validates the physical modelling results underlying these papers. We will show that the output from numerical modelling presents an important supplement to existing data. Data and models description Data Several data sets have been used to compare model simulations with observations. The climatic data set describes monthly mean temperature and salinity based on more than 25 000 stations over the last 70 years (Altman et al., 1987). The temperature and salinity database of the Co-operative Marine Science Black Sea (CoMSBlack) programme (Oguz, et al., 1993, 1994; O } zsoy & U } nluata, 1998) was used to describe synoptic features in the Black Sea circulation. In particular, the data collected during three quasi-synoptic surveys (2–29 September 1991, 4–26 July 1992 and 2–14 April 1993) were interpolated onto a regular grid with resolution in the meridional and in the zonal direction at 35 levels. The temperature and salinity profiles measured on board the RV Professor Vodyanitsky, during the cruise of April–May 1997 (Lancelot & Egorov, 1997), were used to study the shelf–open sea exchange in the north-western Black Sea. The recent US/French mission Topex/Poseidon (T/P) provided the scientific community with high quality altimeter data. Their errors are below 3 cm rms, thus the accuracy of estimates on the variations of Black Sea mean sea-level (MSL) is quite good. T/P data from October 1992 to July 1997 of the latest version of Topex/Poseidon (T/P) M-GDRs distributed by AVISO (MGC-B, version 2) were used (AVISO, 1996). Standard altimetric corrections are applied, except for ocean tides and atmospheric pressure, which are very small and are not corrected for the Black Sea. Sea-level anomaly (SLA) relative to a 4-year mean (1993–1996) is then obtained using a conventional repeat-track analysis and a suboptimal space/time interpolation method (Le Traon et al., 1998) onto a 0.20.2 spatial grid, with 10-day averages from the 1 to 3 days repeat track data. Atmospheric forcing was derived from the climatic handbook edited by Sorkina (1974) and the meteorological data of the Hadley Centre, United Kingdom Meteorological Office (UKMO). This data set includes twice-daily temperature, relative humidity and wind velocity for the period June 1993–May 1995. The resolution is 0.44 in latitude and longitude. The climatic data set of Sorkina (1974) originates from coastal and ship measurements (67 000 measurements in total). The procedure for the calculation of wind stress is described by Staneva and Stanev (1998). 1 12 1 9 Coastal–open ocean exchange in the Black Sea 603 Numerical models of the Black Sea circulation We will here briefly review two basin-wide models: the DMG and GHER model. They are described in detail in the references cited below. The GHER model is presented in this issue by Beckers et al. (2000), and will, therefore, only be described schematically, focusing on its major differences from the DMG model. Both models use a set of primitive equations for velocity, temperature and salinity in hydrostatic approximation. The DMG model is based on the Modular Ocean Model (MOM) code (Pacanowski et al., 1991), widely used in ocean modelling, while the second one is based on the GHER mathematical model code (e.g. Nihoul et al., 1989; Beckers, 1991). The application of these models to the Black Sea is documented in the papers of Stanev et al. (1997) and Stanev and Beckers (1999a, b). As can be seen from these works, many differences exist between the model formulations, numerical schemes and parameterizations. However, initial conditions are essentially the same and the forcing functions have almost the same climatic characteristics. The forcing functions used in the DMG-MOM model are based on atmospheric analysis data (atmospheric temperature, humidity and wind). Aerodynamic bulk formulae are used to compute heat and momentum fluxes, using stability-dependent exchange coefficients. The realistic forcing of DMG-MOM ensures correct simulations of events associated with water-mass formation and the ventilation of coastal regions. As shown in a number of papers addressing parameterizations, sensitivity studies and intercomparisons with observations (Stanev et al., 1997, 1998; Staneva & Stanev, 1997, 1998; Staneva et al., 1999), the model is well tuned to the Black Sea conditions and realistically replicates the major circulation and thermohaline properties of the Black Sea system. The forcing of the GHER model is more simple and includes only the seasonal variability of atmospheric forcing (the sea surface temperature and salinity are relaxed to monthly mean climatological data). River discharges from the three main rivers in the Black Sea (i.e. Danube, Dnepr and Dnestr) are also prescribed. In addition, momentum fluxes are computed from the climatological monthly data and are interpolated at each time-step. The data used to force both models are described in detail in the paper of Staneva and Stanev (1998). Bottom topography is taken from the UNESCO bathymetric map and discretized with the model resolution. One important difference between the two models is the vertical discretization. MOM uses geometric depth as vertical co-ordinates, with variable thickness of model layers, and the Arakawa B-grid in T 1. Models used in this study, and their resolution Resolution horizontal (km) vertical (levels) DMG-MOM coarse fine 28 9 24 24 GHER coarse fine 15 5 25 25 Models the horizontal. To avoid possible artefacts associated with the amplification of basin waves over the abyssal plain (Stanev & Rachev, 1999), we increase the discretization there. Thus, it varies from 5 m in the surface 20 m layer, 10 m until a depth of 90 m, decreasing to 400 m in the deep homogeneous layers increasing again to 60 m in the deepest levels. The GHER model uses the double co-ordinate system (which allows us to represent the abyssal plain precisely) in the vertical and the Arakawa C-grid in the horizontal. An important physical difference between the two models is related to the use of a 2D prognostic variable: total stream function in MOM and free sea surface in the GHER model. The subgrid parameterizations are also different, and are documented in the above papers. Both models have been developed such that they can be run with two different resolutions in the horizontal (Table 1). This allows good efficiency when studying large-scale circulation and relatively slow processes of water-mass formation with coarse resolution. Fine resolution is used to study the impact of eddies on the circulation (e.g. Staneva & Stanev, 1997; Stanev & Staneva, 2000; Gregoire, 1998). Since the Rossby radius of deformation in the Black Sea is of the order of 20–30 km, the two fineresolution models (with horizontal resolutions of 9 and 5 km for the DMG-MOM and GHER models, respectively) can be seen as eddy-resolving models. As will be demonstrated when discussing the results of the simulations, the eddy resolution is of utmost importance if we want to adequately replicate the exchange processes in the frontal area, as well as on the shelf. This paper addresses the simulation of the basinwide circulation, with a particular focus on the description of the north-western shelf circulation and on the estimation/quantification of the exchanges between shelf waters and open-sea waters. We will illustrate different results produced by the two models, since they are complementary. It is worth 604 E. V. Stanev et al. noting that the evolution of the circulation and thermohaline fields simulated by the two models obey the same type of behaviour. This proves that both models are calibrated in such a way as to give close results, in particular with respect to the seasonal variability of circulation. The Black Sea circulation: evidence from observations Black Sea surface elevation and currents The circulation of the Black Sea has been widely illustrated, and further details and references can be found in Blatov et al. (1984), Stanev et al. (1988), Simonov and Altman (1991) and O } zsoy and U } nluata (1998). We restrict the analyses in this study to issues directly linked to the coastal–open sea exchange, presenting estimates based largely on new data and modelling. Currents in the Black Sea are mainly quasigeostrophic, but strong deviations from this balance exist in the surface and bottom boundary layers, as well as in the jet-like current (encompassing the entire basin) where inertial force is substantial. Wind is the main driving force, tending to create a cyclonic general circulation (Stanev, 1990; Stanev & Beckers, 1999a). The buoyancy anomalies due to river runoff, precipitation and evaporation enhance the cyclonic circulation, since most of the fresh water enters the sea in the coastal area (Stanev, 1990; Oguz et al., 1995; Bulgakov et al., 1996). This forcing exerts an indirect, but very strong, impact on the circulation, forming (together with the exchange through the Straits of Bosphorus) the unique vertical stratification. It is accepted that the Black Sea can be divided into two major circulation areas: the cyclonic (in the basin interior) and the anticyclonic (between the jet current and the coast). The anticyclonic area is narrow, since the continental slope is very close to the coast over most of the sea, and the circulation in this area is dominated by a number of small coastal eddies. As can be shown from the dynamical analyses of the recent basin-wide quasi-synoptic surveys (Oguz et al., 1993, 1994; Korotaev et al., 1998), the dynamic height correlates with the general climatic pattern. What is less well known, and is very impressively illustrated by the recent T/P data, is the spatial variability of the sea surface. In order to compare it with the existing observations, we subtract the climatic signal from the dynamic heights of three ComsBlack surveys. The reference level is taken as 500 dbar, since the density anomalies below this depth are very small, so that the results remain almost unchanged if we consider a deeper reference level. The results are shown in Figure 1(a–c). A number of synoptic features dominates the anomaly pattern, indicating strong mesoscale/sub-basinscale variability. Horizontal scales vary between tents to 100 km. The largest anomalies are observed in the areas of the Batumi eddy and in the north-western Black Sea. As can be seen from the comparisons between the anomalies of dynamic heights obtained from hydrographic and T/P data, the agreement is satisfactory [cf. Figure 1(c,d)]. This proves that the two types of data are consistent and can be used as complementary (a large number of observations of SLE in T/P data and a complete description of the thermohaline fields in the survey data). It is worth noting that the data from the survey resolve eddies smaller than those from the T/P, which is due to the relatively large distances between tracks (Korotaev et al., 1998). This could explain the higher slope in SLE estimated from the survey data. We will give some further intercomparisons between our model estimates and both types of data. Seasonal variability The sea-level elevation (SLE) oscillates with amplitudes of 10–20 cm. The maxima are associated with large river runoff in spring and early summer. The minima are observed in late autumn and are due to small freshwater fluxes in summer and autumn. This evidence, well known from measurements in coastal locations, is nowadays supported by satellite data (Figure 2). Along with the strong signature of seasonal signal, these data give a well-resolved trend of about 3 cm yr 1 in the last 5 years (a similar trend in the Caspian Sea is much higher), indicating possible longterm changes associated with the freshwater balance. The altimeter data clearly allows us to identify regions with higher or lower variability (e.g. energetic Battumi and Sevastopol eddies, Figure 3). The seasonal variability of the Black Sea circulation is externally forced and carries a substantial part of the spectral energy. In winter, not only does the wind magnitude increase, but also its curl, which contributes to the intensification of circulation (Stanev, 1990; Staneva & Stanev, 1998). The decreasing intensity of circulation in summer is also a direct consequence of the change in the mechanical forcing. The corresponding seasonal transitions are illustrated by the shallowing of the halocline in the central (cyclonic) part of the basin and its deepening along the coast (anticyclonic part of the basin) in winter. As a result, the slope of the halocline increases. The Coastal–open ocean exchange in the Black Sea 605 47°N (a) Latitude 46°N 47°N 45°N 45°N 44°N 44°N 43°N 43°N 42°N 42°N 41°N 41°N 28°E 30°E 32°E 34°E 36°E 38°E 40°E 42°E Longitude 150 100 50 0 50 120 90 60 30 (c) 46°N Latitude 28°E 30°E 32°E 34°E 36°E 38°E 40°E 42°E Longitude 100 150 200 47°N 44°N 44°N 43°N 43°N 42°N 42°N 41°N 41°N 28°E 30°E 32°E 34°E 36°E 38°E 40°E 42°E Longitude 50 100 150 200 250 300 30 60 90 120 150 (d) 46°N 45°N 0 0 47°N 45°N 100 50 (b) 46°N 28°E 30°E 32°E 34°E 36°E 38°E 40°E 42°E Longitude 180 160 140 120 100 80 60 40 20 F 1. (a, b, c) Anomalies of dynamic heights (mm) from hydrographic surveys. Dynamic heights calculated from annual mean climatological data are subtracted in order to obtain the anomalies. The reference level is taken to be 500 m, which explains why the plot does not cover the whole area. (a) September 1991; (b) July 1992; (c) April 1993. (d) Anomaly of sea-surface elevation from the T/P data (April 1993). inverse process takes place in summer, leading to a decrease in the intensity of circulation. Penetration of the signals from the sea surface into the pycnocline The Black Sea stratification (surface salinity of about 17·8 and salinity at 150 m of about 21) tends to shield deep layers from the processes occurring in the surface layer. The consequences of this ‘ decoupling ’ (studied by Stanev, 1990) are impressively demonstrated by the anoxic conditions below 150 m. The depth reached by winter convection is governed by the stability of the stratification and, unlike the ocean basins at the same latitudes, is very small. Thus, the upper layer is ventilated down to about 50–150 m. The newly formed cold intermediate water (CIW) is overlaid by the seasonal thermocline. The reduced vertical exchange caused by the strong stability of stratification shields the CIW from mixing with surface and deep waters (Stanev, 1990), and the cold intermediate layer (CIL) is observed as a perennial thermic, characteristic at depths ranging from 50 m (the central basin) to 150 m (the easternmost Black Sea). Radiotracers give valuable information for estimating the speed of penetration of signals from the sea surface into the deep ocean layers. In the case of the Black Sea, the Chernobyl accident created such a signal and made possible the evaluation of the rate of mixing between the Mediterranean and Black Sea waters, which contributes to internal mixing in the Black Sea (Buesseler et al., 1991). Numerical models can be used to test the contribution of different mechanisms of mixing in the coastal–open sea exchange. Since the limited amount of observations could not give reliable information about the basin-wide exchange, we give some results of the modelling, though a more detailed presentation of the simulations will be given in the next section. To study the exchange between surface and deep waters, we add a new tracer—90Sr—to the DMG-MOM model with horizontal resolution. The parameterization of vertical mixing in the model is stability-dependent and tuned against chemical data 1 4 606 E. V. Stanev et al. 180 90 Sr (Bq m–3) (a) 5 0 10 15 20 25 120 SLA (mm) 60 100 Depth (m) 0 –60 200 –120 –180 1992 1993 1994 1995 Year 1996 1997 300 1998 F 2. Variability of the basin mean sea-level anomaly (SLA, mm) from the T/P data. (b) Cl = 0.1 46°N 47°N 45°N 44°N 44°N 43°N .4 Latitude 45°N 17 Latitude 46°N 42°N 43°N 41°N 42°N Mean = 17.7 40°N 41°N 40°N 27°E 29°E 31°E 33°E 35°E 37°E 39°E 41°E Longitude 20 25 30 35 40 45 50 55 60 65 70 75 F 3. Amplitude of the variations in sea-level elevation (SLE, mm) from the T/P data. analysed by Lewis and Landing (1991). The forcing includes fluxes of 90Sr located in the river mouths in the north-western Black Sea, which are calculated as a product of river discharge times the measured concentrations. As seen from Figure 4(a), the simulated distribution of 90Sr in the vertical correlates well with the measurements. What is very important and relevant to the present study is that it is not only the entrainment of Black Sea water by the sinking Mediterranean plume (Buesseler et al., 1991) that governs the penetration of signals from the sea surface into the deeper layers. One substantial part of the diapycnal transport occurs along the jet stream, which 28°E 30°E 32°E 34°E 36°E 38°E 40°E 42°E Longitude F 4. The penetration of 90Sr into the Black Sea pycnocline. The results have been simulated with the DMG-MOM model with resolution. Detailed description of the model setup is given in Stanev et al. (1998). (a) 90Sr vs depth for 1992. Dashed line indicates 1 deviation of simulated values from the basin mean. Squares correspond to observations for the same period. (b) Horizontal mixing pattern as seen in the distribution of 90S at t =14·4 (30 May 1991). 1 4 is associated with the time variability and synoptic oscillations. In the context of the ventilation of the shelf area, the Sevastopol eddies are of utmost importance. As seen from the analyses of observations by Ivanov et al. (1997), and as shown in the theoretical study of Staneva and Stanev (1997), the volume of CIW expands in the area of anticyclones. This makes them potentially important stock elements for substances transported from the shelf. The slope currents propagate these pollutants rapidly along the basin periphery, so that they can penetrate into the open sea Coastal–open ocean exchange in the Black Sea 607 due to the diapycnal exchange. This is the case with the Chernobyl 90Sr, which was discharged into the sea by the rivers. The strong stratification in the Black Sea and the different depth of pycnocline in the cyclonic and anticyclonic areas make the vertical profile of tracers quite noisy when plotted against depth [Figure 4(a), the squares correspond to observations in different locations]. Plotting the data in t-co-ordinates usually reduces the dispersion created by dynamical reasons (e.g. Turgul et al., 1992) and makes possible the appearance of some fundamental features associated with the diapycnal mixing (Staneva et al., 1999). However, the horizontal gradients of transient tracers are usually small when plotted on t-surfaces and are not easily detected from observations. In this case, the simulations can give useful supplementary information about the mixing paths or the diapycnal penetration into the pycnocline. This is illustrated by the simulated 90Sr at t =14·4 [Figure 4(b)]. It is clearly seen that 90Sr penetrates the ispycnal surface from its periphery, where the highest concentrations are observed. Equally important, and at the same time very peculiar, is the fact that the Chernobyl 90Sr penetrates the pycnocline far from the region of its origin (i.e. the rivers in the north-western part of the sea) along the whole basin periphery. This demonstrates the importance of coastal circulation for the vertical/diapycnic spreading of signals from the sea surface into the interior. Circulation on the north-western shelf The Black Sea shelf consists of two distinct regions: a very flat area in the north, lying approximately between the Cape Tarhankut and the Danube delta, with depths lower than 50 m, and a narrow belt of about 50 km wide, extending from the Crimea Peninsula to the coast of Bulgaria, with depths varying between 50 and 100 m. In the first (very shallow) region, the dynamics are strongly dominated by winds and dissipation, whereas in the second one, they are much more complex due to the interaction between shelf and open-sea processes. The recent quasi-synoptic measurements carried out under the CoMSBlack and EROS 21 projects are not analysed in detail for the shelf area. However, salinity data [Figure 5(a)] demonstrate that the dynamics close to the Danube delta are dominated by the river plume. A well-defined front separates the river water from the open-sea waters. Below the pycnocline salinity reveals quite different patterns [second column of Figure 5(b)], indicating that the processes in the surface layers might be quite indepen- dent from the ones in the deep layers. It is of particular interest to show the vertical cross-sections in the southern part of the plume, also indicating the decorrelation between surface and deeper waters. The circulation on the shelf has been addressed in a number of experimental and model studies (e.g. Blatov et al., 1984; Simonov & Altman, 1991; Mikhailova & Shapiro, 1996). There is evidence to suggest that the currents may rotate in a clockwise or anticlockwise manner depending on the wind direction. Remote sensing data obtained from CZCS (Barale & Murray, 1995) show that the plume originating from the Danube River often displaces to the north or intrudes the shelf interior. This supports the idea that the circulation is very changeable (e.g. Stanev & Beckers, 1999a, b), which can be easily explained by the small mechanical inertia of a shallow-water column. Physical processes: model–data intercomparisons Inventory of the physical processes affecting the coastal– open ocean exchange and their representation by the DMG-MOM and GHER model The variability in the coastal ocean occurs over a wide range of space- and time-scales that necessitate considering a wide range of phenomena, simultaneously. This is exactly the case in the Black Sea, where the scales of major processes in the coastal zone range from regional to basin-wide. Direct atmospheric forcing and exchanges at the boundaries dominate the dynamics in the coastal zone, and both free and forced motions are important. The width of the continental shelf and the characteristics of the slope area shape the geometry of the processes. An inventory of processes studied with the DMG-MOM and GHER models (with a short specification of them) is given in Table 2. We remind the reader that some processes listed in Table 2 have also been studied using other models. In the following, we will demonstrate the relevancy of some physical processes to the coastal–open ocean exchange, using model results. Waves Coastal waves. Most of the modelling studies on general ocean circulation focus on wind and thermohaline currents, neglecting the short, periodic seasurface variability by prescribing rigid lid boundary conditions. Another large class of model studies addresses tidal motions, neglecting the baroclinicity. 608 E. V. Stanev et al. (a) Salinity at 5 m (b) Salinity at 40 m September 1991 (c) Cross section at 44.4°N September 1991 September 1991 Vertical cross-section (m) 0 Latitude 45.5°N 45°N 44.5°N 44°N 10 20 30 40 50 60 July 1992 July 1992 July 1992 Vertical cross-section (m) 0 Latitude 45.5°N 45°N 44.5°N 44°N 10 20 30 40 50 60 April 1993 April 1993 April 1993 Vertical cross-section (m) 0 Latitude 45.5°N 45°N 44.5°N 44°N 10 20 30 40 50 60 April 1997 April 1997 April 1997 Vertical cross-section (m) 0 Latitude 45.5°N 45°N 44.5°N 44°N 29°E 30°E Longitude 12.5 13 13.5 14 14.5 15 15.5 16 16.5 17 17.5 18 Salinity 29°E 31°E 0 3 6 30°E Longitude 9 31°E 12 15 18 21 24 27 30 33 (S–18) × 100 Salinity 10 20 30 40 50 60 29°E 14.5 15 30°E Longitude 15.5 16 16.5 17 31°E 17.5 18 Salinity F 5. Salinity patterns on the north-western shelf from the CoMSBlack and EROS surveys. Horizontal plots at (a) 4 m and (b) 40 m. (c) Vertical cross-section at 44·4N. However, in deep baroclinic land-locked basins, both the sea-surface oscillations and the baroclinicity are important. Closed boundaries provide a wave-guide for Kelvin waves (coastal-trapped waves, in the case of a basin with realistic bottom), and their relationship with other wave processes has been illustrated by Coastal–open ocean exchange in the Black Sea 609 T 2. Inventory of the major physical processes and phenomena in the Black Sea studied using the DMG-MOM and GHER models Processes/phenomena Black Sea reference Waves Surface Stanev and Beckers (1999a) Internal Stanev and Beckers (1999a) Basin oscillations Rachev and Stanev (1997a) Rachev and Stanev (1997b) Stanev and Staneva (2000) Stanev and Rachev (1999) Topographic Kelvin and Rossby Coastal trapped Front processes and eddies Upwelling Rim current Baroclinic instabilities Eddies (synoptic, quasi-permanent, basin-scale) Small-scale processes Boundary layers and mixing Ekman transport Breaking waves and turbulence Currents and water masses Stanev and Beckers (1999a) Stanev and Rachev (1999) Stanev and Beckers (1999a) Notes subinertial oscillations with maximum amplitudes at 1·2, 2·1, 4·4 and 6·3 h have been studied coupling between free surface and pycnocline oscillations western propagation caused by basin oscillations differentiation between basin and topographic oscillation analysis of characteristics of Kelvin waves in a small basin oscillations with periods exceeding inertial period, with the coast on their right Stanev and Beckers (1999a) Stanev and Staneva (2000) Staneva and Stanev (1997) Stanev and Beckers (1999a, b) Rachev and Stanev (1997) Stanev and Staneva (1999) Gregoire (1998) Stanev and Staneva (2000) generation of upwelling at Cape Kaliakra characteristics of the rim current, transport, vertical shear of the currents Stanev et al. (1997) parameterization in models and their impact on simulations surface and bottom plumes, gravity currents, ocean–atmosphere exchange mixing in intermediate layers caused by breaking waves wind- and buoyancy-driven currents, and their relationships to water-mass formation Simeonov et al. (1997) Staneva et al. (1995, 1998) Stanev and Beckers (1999a, b) Staneva and Stanev (1997) Stanev and Beckers (1999a, b) Stanev et al. (1998) Staneva et al. (1999) Stanev and Beckers (1999a) in the case of the Black Sea. The active free surface in the GHER model makes it possible to simulate short, periodic barotropic oscillations. Their periods range between 1 and 10 h. Coupling between barotropic and baroclinic oscillations results in baroclinic wave excitation and wave shedding towards the open sea. This is shown in time vs distance from the coast dependency [Figure 6(a)]. It is clear that the coastal-trapped waves are simulated in a narrow zone over the continental slope. The wave speed can be measured by the slope of the thick line in Figure 6(a) connecting equal phases at different distances from the coast (giving approximately 0·5–1 m s 1). The characteristics of the oscillations change with time and, as indicated in Figure 6(a) at location 14, high salinity water from free and forced baroclinic oscillations the impact of eddies on the circulation the basin interior intrudes the coastal zone. Almost simultaneously (after day 22–23), a decrease of the amplitude of oscillations is observed. The appearance of internal waves in the Black Sea is very specific and they are well traced in the time vs depth plot [Figure 6(b)]. Our simulations reveal two layers (surface and deep) with large stratifications and an intermediate homogeneous layer (the CIL). The internal wave oscillations in the intermediate layer, as seen in the temperature field, are insignificant. This proves that the CIL acts as a thermic buffer, not only at climatic time scales, but also at high frequencies. However, the oscillations of the interface (permanent halocline) interacting with the shelf/continental slope might become a key element in the mixing process. Breaking internal waves [or transformations of the Temperature (°C) (a) 8.18 68 8.1 7.6 0 77 7. 7.60 3 7.9 7.93 77 7. 7.43 0 8.1 8.18 8.0 93 8.10 1 0 7.43 8.1 0 8.18 18 8. 7.43 8.0 5 1 7.8 8.18 8.0 5 8.26 7.52 7.60 7.6 8 7.35 18 8. 8.10 7.52 7. 60 7. 68 7. 85 7.7 7 7.35 1 8.26 7.85 8.0 7.93 1 7.52 7.7 8.01 0 7.6 8. 18 7.43 7.68 7.8 7.35 8. 8.1 0 68 18 7. 7.52 7. 8.26 7.35 18 8. 7.85 68 7.6 Days from perturbation 8.10 7.43 8.10 7. 22 8 7.8 5 68 77 7. 23 8.1 6 8.2 7. 0 8.01 93 7. 8.26 7.52 7. 7.35 85 7. 8.01 7.35 7.43 77 7. 8.2 6 24 7 8.10 GHER 8.18 21 9 14 19 24 Point Temperature at point 11 (°C) (b) 7. 30 7.6 7 7. 43 7.80 2 7.80 2 7.9 8.0 5 9 7 8.1 8.29 6 4 8.5 8.54 8.66 6 9 9 9 8.7 8.7 9 8.7 1 8.9 9 8.7 8.7 8. 91 8.91 8.91 8.91 8.91 22 23 Days from perturbation 8.91 8.91 1 21 9 8.7 91 8. 8.9 91 8. –250 20 9 8.7 9 8.7 9 8.7 9 8.7 8.7 9 6 8.6 8.6 6 8.6 8.66 8.6 4 8.5 4 8.42 8.54 8.5 4 8.5 8.54 8.4 2 8.42 2 2 8.4 8.29 2 8.4 2 2 2 2 2 8.4 8.4 9 8.2 9 8.2 8.2 9 8.2 9 8.2 7 8.1 8.17 8.05 7 8.1 5 8.0 7 8.1 7 7 7 7 7 8.1 8.17 8.05 5 8.05 2 2 7.9 7.9 2 0 0 7.9 2 7.9 7.9 7.6 7 7.6 7 7.8 0 7.8 7.8 8.4 8.0 7.9 2 5 7.5 5 7.5 7 7.6 55 .67 7. 7 8.1 8.4 0 8.1 8.4 7.8 0 8.1 0 7.8 0 7.8 7.8 5 8.0 5 8.4 0 0 8.0 8.1 7.8 7.8 Depth (m) 43 43 5 5 7.5 7. 7. 43 3 7.4 43 7.5 5 7.5 –150 7.4 43 7. 7. 3 7.43 3 7.4 7. 7.4 3 24 GHER 25 F 6. (a) Time vs distance from the coast plot of temperature simulated with the GHER model with 15-km horizontal resolution at 150 m, 4327N. The abscise axis gives the distance from the coast (the number on the axis times 15 km). (b) Time vs depth plot of temperature at location 11 simulated with the GHER model. Coastal–open ocean exchange in the Black Sea 611 signal in the coastal region, as shown in Figure 6(a)] might provide mixing in the halocline and affect the thickness of the CIL. This leads to changes in the stratification of the intermediate layer and depends on the amount of energy provided by free-surface oscillation. These physical processes currently remain unexplored for the Black Sea, but might be responsible for the control of the exchange between upper and intermediate layers. The oscillations of the halocline on different time-scales could be of particular importance for the physical control of the biological systems. We can speculate that mixing (affecting different chemical and biological compounds) will also be governed by wave breaking. This might explain the importance of lateral mixing in the Black Sea, providing the basin interior with strong signals generated in the coastal areas. Basin waves. While in the world ocean the Rossby waves are responsible for the western propagation of signals, the wave reflection in enclosed basins creates a more specific regime, associated with the basin oscillations (Rachev & Stanev, 1997a; Demyshev et al., 1996; Stanev & Rachev, 1999), that could exist in barotropic as well as in baroclinic fluids. What makes the Black Sea an interesting case is that the Rossby radius of deformation (several tenth kilometres) is comparable with some fundamental basin scales (central narrow section, the narrow easternmost part of the basin). The simulations with the DMG-MOM demonstrate that the Rossby waves emerge from the easternmost area and propagate to the west with a phase speed of 2 cm s 1 [Figure 7(b)]. They dominate the dynamics when the model is forced with stationary boundary conditions (Rachev & Stanev, 1997a), as well as when the forcing changes with time (Stanev & Staneva, 2000), as is the case in Figure 7(a). The meridional wind-stress component and the simulated meridional velocity at the sea surface show quite different patterns. Wind maxima occur in winter and are more pronounced in the western Black Sea. The lack of slope in the wind contours demonstrates that there is no substantial signal propagating in the zonal direction (we exclude from this analysis the synoptic processes in the atmosphere having very short time-scales). There is no substantial correlation between the two types of data (forcing and response), demonstrating that the westward propagation is rather an appearance of natural oscillations. Thus, the atmospheric variability provides perturbations for the ocean system, but does not shape the response. To give an idea of the consistency of simulations with observations, Figure 7(c) shows that the western propagation is also well pronounced in the altimeter signal, although the phase speed is slightly lower. The analysis of model simulations demonstrates that the basin oscillations induce strong changes in the depth of pycnocline (Rachev & Stanev, 1997a). They could also enhance the amplitude of the rim current and affect the exchange between anticyclonic and cyclonic areas. Since this process is extremely sensitive to complicated bottom relief, we could speculate that this type of wave could affect the anticyclonic eddies between the main gyre and the coast. Some of the most energetic eddies of this type originate in the area of the Crimea Peninsula (Figure 1), and their interaction with the shelf could substantially affect the mixing (including mixing of chemical and biological matter) and the resulting water-mass formation. Frontal processes and eddies The Black Sea upwelling. In this section, we address some processes that are crucially important for the circulation and synoptic variability of any ocean basin using simulation results produced by the DMG-MOM and GHER models. In basins with strong vertical stratification, the contrasts between thermohaline characteristics in coastal and open-sea regions are usually well pronounced, providing that the mechanic forcing sufficiently maintains the slope of the pycnocline steep. Under such conditions, the instabilities associated with frontal oscillations and the direct mechanic forcing from the atmosphere triggers an intense upwelling. It has been found that there are some areas (Cape Kaliakra, the southern coast and the area west of the Crimea Peninsula, Figure 8) where the upwelling is quasi-permanent (Stanev et al., 1988; Sur et al., 1994; Blatov & Ivanov, 1992; O } szoy & U } nluata, 1998; Gavarkievicz et al., 1999). In the presence of strong changes of coastal line or topography (e.g. Cape Kaliakra), the oscillations of the pycnocline may amplify the transport of CIW into the surface layers. What has not been addressed in any further detail in previous studies is the specific vertical stratification in the Black Sea and the characteristics times of processes acting in the horizontal and in the vertical. While it takes about 1 year for the currents to make one loop along the coast (Stanev et al., 1998), the vertical penetration of the signals is much slower, as shown by observations and modelling of the penetration of radiotracers (see ‘ Penetration of the signals from the sea surface into the pycnocline ’). Since the horizontal–isopycnal mixing is much larger than the vertical–diapycnal mixing, the water properties of each region tend to homogenize on isopycnals. Thus, the properties of coastal waters dominate in the 612 E. V. Stanev et al. (a) JUL 1994 0.6 JAN 1994 0.5 0.4 JAN 1993 0.3 JUL 1992 0.2 JAN 1992 0.1 JUL 1991 JAN 1991 28°E 29°E 30°E 31°E 32°E 33°E 34°E 35°E 36°E 37°E38°E 39°E 40°E 41°E 42°E Longitude (b) 18 JUL 1994 15 9 JUL 1993 6 3 JAN 1993 0 3 JUL 1992 6 JAN 1992 9 12 JUL 1991 15 28°E 29°E 30°E 31°E 32°E 33°E 34°E 35°E 36°E 37°E38°E 39°E 40°E 41°E 42°E Longitude (c) JAN 1997 JUL 1996 JAN 1996 JUL 1995 JAN 1995 JUL 1994 JAN 1994 JUL 1993 27°E 28°E 29°E 30°E 31°E 32°E 33°E 34°E 35°E 36°E 37°E38°E 39°E 40°E 41°E Longitude 100 80 60 40 20 0 20 40 Anomaly of sea-level (mm) 60 80 100 120 Meridional velocity (cm s1) 12 JAN 1994 JAN 1991 Wind stress JUL 1993 Coastal–open ocean exchange in the Black Sea 613 46°N Latitude 45°N 44°N 43°N 42°N 41°N 28°E 30°E 32°E 34°E 36°E Longitude 0.5 0.4 0.3 0.2 0.1 0 38°E 40°E 0.1 0.2 0.3 0.4 0.5 0.6 Vertical velocity (¥ 103 cm s1) F 8. Monthly mean vertical velocities in March 1984 at 7·5 m. Dark tones mark upwelling areas. Simulations are carried out with the DMG-MOM model with resolution. 1 12 surface layers, while deep-water characteristics dominate in the interior basin (Staneva et al., 1999; Stanev & Staneva, 2000). Under such conditions, one could represent the Black Sea as being composed of two dynamically different sub-basins: coastal and open sea. A similar division has already been suggested by Bulgakov and Korotaev (1984). However, what has been realized in recent years is that the circulation in the coastal (anticyclonic) area is dominated by synoptic eddies, which requires the addressing of the exchange between the two areas from the viewpoint of non-stationary dynamics. Accordingly, the physical and biological characteristics of the coastal/interior basin tend to upper/deep sea characteristics. This ‘ regionalization ’ is consistent with the general cyclonic circulation and the associated upwelling in the basin interior. The two branches of the vertical circulation communicate by the exchange in the slope area, the latter providing a substantial part of the exchange in the Black Sea [see Figure 4(b)]. The upwelling has not only important consequences for the vertical exchange of physical properties in the upper layer, it also affects the biological productivity. The basin-wide upwelling in the Black Sea interior supplies the intermediate layer with hydrogen sulphide-rich waters, as shown from observations (Dobrujanskaya, 1967). Deep waters (rich in ammonium) could also have a key significance for the characteristics of the trophic chains in the upwelling areas. Systematic studies on the local aspects of coastal upwelling are still sparse (e.g. Blatov & Ivanov, 1992; Stanev et al., 1988; Oguz et al., 1992; Sur et al., 1994; Kosnyrev et al., 1996; Vlasenko et al., 1996; Gavarkievicz et al., 1999). The upward transport of waters from the CIL into the surface layer opposes the general trend of anticyclonic circulation in the coastal zone bringing surface waters into the deeper layers. Since the temperature of the CIW is lower than the sea surface temperature in summer, this cold-water mass clearly traces the upwelling region by giving signals in the AVHRR data (mostly with synoptic and mesoscale characteristics) in the warm part of the year. The generation of coastal upwelling in the western Black Sea has been shown by the model of Stanev and Beckers (1999a, b), but there are no clear estimates about the contribution of this process in the mixing of Black Sea waters. The localized appearance of upwelling necessitates the very fine resolution of numerical models (Demirov, 1994), and we will show in the next subsection an example of such simulations. Basin-scale/mesoscale circulation. The rim current is one of the most interesting physical phenomena in the Black Sea dynamics. It is very narrow, which is due to extremely strong density contrasts in the vertical, as well as to very narrow continental slope. Realistic modelling of this current requires a fine spatial resolution. This is shown in Figure 9, which compares simulations of the basin-wide circulation carried out with the GHER model with 15- and 5-km horizontal resolution at the end of May. One can clearly see that although the general pattern of circulation does not drastically differ in the two simulations, the eddyresolving simulations are dominated by meanders, eddies, filaments and dipole structures with scales that are subgrid for the coarse model. The comparison of the eddy scales with the ones in the observed data (see Figure 9 and Figure 1, in addition to Oguz et al., 1993, 1994; O } zsoy & U } nluata, 1998) demonstrates that a 5-km resolution resolves most of the important mesoscale features. F 7. Time–longitude diagrams of (a) wind stress magnitude and (b) meridional velocity at the sea surface, 43.5N. The slope of the contours gives a measure of the speed of westward propagation. The data used to plot this diagram are simulated by the DMG-MOM model with resolution. The model is forced with atmospheric analysis data from UKMO. (c) Sea-level anomalies (mm) from the T/P data at the same latitude. 1 12 614 E. V. Stanev et al. Velocity scale: 0.07 m s–1 Depth: 10 m (a) 45.75° Latitude (N) 44.75° 43.75° 42.75° 41.75° 40.75° 27.334° 29.334° 31.334° 33.334° 35.334° Longitude (E) 37.334° 39.334° 41.334° 46.705° Velocity scale: 0.07 m s–1 Depth: 10 m (b) 45.705° Latitude (N) 44.705° 43.705° 42.705° 41.705° 40.705° 27.272° 29.272° 31.272° 33.272° 35.272° Longitude (E) 37.272° 39.272° 41.272° F 9. Horizontal currents at 10 m at the end of May simulated by the GHER model and forced with monthly climatic data. (a) Simulations with horizontal resolution of 15 km. (b) Simulations with horizontal resolution of 5 km. The baroclinic instabilities together with basin oscillations and mesoscale eddies, give a very complicated picture of the exchange occurring between anticyclonic and cyclonic areas, depending on the transition of the circulation between different dominating states (intense winter- and less intense summer-state, Stanev & Staneva, 2000). The synoptic eddies present a key element in the energy exchange. The key point here is that the two states of circulation are characterized by different slopes of the pycnocline in the area of the rim current, and that the diapycnal exchange between coastal and open waters might be dependent on this slope, so that any mesoscale features could affect this mixing. Subgrid-scale processes Small-scale processes are of the utmost importance to the behaviour of geophysical fluids, and some of them are listed in the third part of Table 2. Most of these processes are not resolved by the basinwide numerical models, therefore they have to be parameterized. For details on the different parameterizations, and their impact on the model performance, we recommend the paper by Stanev et al. (1997). Here, however, we only mention that the estimation of the impact of horizontal mixing is of paramount significance when addressing the exchange between coastal sea and open ocean. One could expect that increasing the coefficient of horizontal Coastal–open ocean exchange in the Black Sea 615 Currents and water masses Currents. The simulations of the DMG-MOM surface currents have magnitudes of about 20–40 cm s 1, the total horizontal mass transport reaches several sverdrups, with a larger part of it being located above the pycnocline. This transport is approximately two- (a) Temperature (°C) 8.0 7.5 7.0 6.5 Jan Mar May Jul Sep Time (months) Nov Mar May Jul Sep Time (months) Nov (b) 8.0 Temperature (°C) mixing in the model would result in increasing the exchange between the coastal and open-sea areas. However, as our simulations demonstrate, this is not always the case. Reducing the horizontal diffusion can result in unrealistically large slopes of the halocline, followed by an increase of eddy activity and enhanced cross-gyre mixing (Stanev et al., 1997). Since the rim current encompasses the entire basin, one could conclude that increasing the instability of the jet current would increase the diapycnal mixing along the entire slope area, partly compensated by a decrease in the mixing (small diffusion coefficient) in the shelf break, inhibiting the uptake of cold water from the coastal zone. In such situations, slope currents take control of cross-shelf mixing (Staneva & Stanev, 1997). The interrelationship between horizontal and vertical exchange is demonstrated below, in the simulations with the DMG-MOM model; by analysing the differences between mixing properties simulated by coarse- and fine-resolution models (Table 1). The atmospheric forcing is identical in both models, except that the high-resolution model admits mesoscale structures in the sea surface temperature field, and thus in the interactive heat fluxes. Since mesoscale heat fluxes generally enhance water formations, we would expect a change in the CIL average temperature in a high-resolution model compared to one of a coarse resolution. However, the more realistic resolution of the physical processes in the fineresolution model did not result in any substantial difference in the annually averaged temperatures in the CIL, only in large amplitudes of the seasonal signal (Figure 10). This comparison suggests that, by increasing the eddy activity along the rim current (which is also the usual situation in the real basin), the rate of ventilation of the coastal zone increases. This has far-reaching consequences. By exchanging waters between the two areas (often diapycnally), the model tends to change the vertical stratification. It is clearly seen in Figure 10(a,b) that the vertical temperature gradient is smaller at the end of winter and greater by the end of autumn in the fine-resolution model. So, the increase in the amplitude of seasonal temperatures should affect the biology: directly, by influencing the rate of biological processes, and indirectly, by acting on the depth of the mixed layer. 7.5 7.0 6.5 Jan F 10. Time-series of basin-averaged temperature simulated by DMG-MOM model with resolutions (full line) and (dashed line) at (a) 55 m and (b) 75 m. 1 12 1 4 fold larger under the fine-resolution model than under the coarse one. One could ask whether this drastic difference has a pronounced impact on the ventilation of coastal regions and the intermediate layer, or whether a compensation between eddy and mean transport occurs, as in some ocean models (Cox, 1985; Bryan, 1986). Since the vertical circulation in the Black Sea is much weaker than the horizontal one, and large changes in the horizontal circulation are not accompanied by large (in absolute values) changes in 616 E. V. Stanev et al. Winter Spring 20 40 60 80 100 120 140 200 20 40 60 80 100 120 140 200 400 400 600 600 800 800 1000 1000 1200 1200 1400 1400 1600 1600 1800 40.5° 41.5° 42.5° 43.5° 44.5° 45.5° 46.5° Longitude (E) 1800 40.5° 41.5° 42.5° 43.5° 44.5° 45.5° 46.5° Longitude (E) 0.6 0.5 0.4 0.3 0.2 0.1 0.1 0.2 0.3 0.4 0.5 0.6 0.6 0.5 0.4 0.3 0.2 0.1 0.1 0.2 0.3 0.4 0.5 0.6 5 3 1 Contour interval (¥ 10 m s ) Contour interval (¥ 105 m3 s1) Summer Autumn 20 40 60 80 100 120 140 200 20 40 60 80 100 120 140 200 400 400 600 600 800 800 1000 1000 1200 1200 1400 1400 1600 1600 1800 40.5° 41.5° 42.5° 43.5° 44.5° 45.5° 46.5° Longitude (E) 1800 40.5° 41.5° 42.5° 43.5° 44.5° 45.5° 46.5° Longitude (E) 0.6 0.5 0.4 0.3 0.2 0.1 0.1 0.2 0.3 0.4 0.5 0.6 0.6 0.5 0.4 0.3 0.2 0.1 0.1 0.2 0.3 0.4 0.5 0.6 Contour interval (¥ 105 m3 s1) Contour interval (¥ 105 m3 s1) F 11. Seasonal mean zonally-averaged vertical mass transport simulated by the DMG-MOM model with resolution, forced with UKMO atmospheric analysis data. 1 12 the vertical circulation, the intensification of the horizontal circulation does not automatically result in pronounced vertical overturning (see Figure 11 and also Stanev, 1990; Rachev & Stanev, 1997a) and does not have a clear impact on the water–mass formation. The results of simulations are consistent with observations and simple theoretical considerations (Bulgakov et al., 1996). The simulated seasonal mean horizontal mass transport ranges in values: 6, 8, 4 and 5106 m3 s 1 in winter, spring, summer and autumn, respectively. The vertical overturning is much smaller, amounting in the upper layer to Coastal–open ocean exchange in the Black Sea 617 (a) 46.5°N 46°N Latitude 45.5°N 45°N 44.5°N 44°N 43.5°N 43°N 28°E 29°E 30°E 31°E 32°E Longitude 33°E 34°E 33°E 34°E 33°E 34°E 40 (b) 46.5°N 46°N Latitude 45.5°N 45°N 44.5°N 44°N 43.5°N 43°N 28°E 29°E 30°E 31°E 32°E Longitude 30 (c) 46.5°N 46°N Latitude 45.5°N 45°N 44.5°N 44°N 43.5°N 43°N 28°E 29°E 30°E 31°E 32°E Longitude in the deep layer are 16104 m3 s 1 in winter, 9104 m3 s 1 in spring, 10104 m3 s 1 in summer and 13104 m3 s 1 in autumn. Thus, we could conclude that the vertical circulation is: (1) much weaker than the horizontal one (about two orders of magnitude, which is typical for stagnant basins; Stanev, 1990), (2) about one order of magnitude stronger than the river discharge or the transport through the Straits of Bosphorus (104 m3 s 1, O } zsoy & U } nluata, 1999, and (3) the patterns are more irregular and variable compared to those of horizontal transport. The above results support the idea that the horizontal processes in the Black Sea are much more active than the vertical ones, which is also due to the stagnant conditions. The evidence that the vertical circulation is about one order of magnitude larger than the straits inflow supports the independent results based on the analysis of radionuclide penetration into the pycnocline, and simulations on the Mediterranean plume in the Black Sea, giving a value of about 10 for the rate of entrainment of Black Sea water by the Mediterranean plume (Buesseler et al., 1991; Simeonov et al., 1997; Staneva et al., 1999). The correlation of our estimates with this fundamental number, obtained independently, gives a credibility for the simulated ventilation of intermediate and deep layers. In the context of the present study, the area west of the Crimean Peninsula is very important as a key area where the rim current attacks the continental slope. The anticyclonic eddies simulated in this region propagate westward (Figure 12) and shape the exchange between the shelf and the open sea. These eddies are also found in the survey data [Figure 1(a,c)], as well as in the T/P data [Figure 1(d) and Figure 3]. Their impact on the shelf–open ocean exchange is associated with the large thermal capacity of anticyclones caused by the deeper position of the halocline. This has at least two important consequences for the physical and biological system related to the deepening of the pycnocline in this area: (1) an increase in the volume of the biologically active layer and (2) mixing between coastal and open-sea waters might become more efficient. 30 F 12. Snapshots of velocities at 2·5 m in the northwestern Black Sea. The plots are based on simulations with the DMG-MOM model with resolution, forced with UKMO atmospheric analysis data. (a) 20 January 1993; (b) 29 June 1993; (c) 19 September 1993. 1 12 6104 m3 s 1 in winter, 4104 m3 s 1 in spring, 4104 m3 s 1 in summer and 5104 m3 s 1 in autumn. The corresponding rates of vertical transport Conclusions We have demonstrated that the altimeter signal is reliable for analysis of the annual variability of circulation. The large amount of such data enables a precise mapping of basin-wide dynamics, as well as of the variability in some dynamically important areas (coastal anticyclones and the well-known areas of the Batumi and Sevastopol eddies, Figure 3). The 618 E. V. Stanev et al. multiple time-scales were demonstrated over a wide range of frequencies (from several hours, governing internal gravity oscillations and convection, to interannual). Such an illustration is the coupling between barotropic and baroclinic oscillations. This process is of significance for the dynamics in the coastal zone, and one important fact has been given here associated with the baroclinic wave excitation and wave shedding towards the open sea with a phase speed of 0·5– 1 m s 1. A fundamental characteristic of the Black Sea, intimately related to the coastal–open sea exchange, is extreme vertical stratification. It prevents vertical mixing, in which case the oscillations of the interface (permanent halocline) interacting with the shelf/continental slope are a key process. The transformations of the wave signal in the coastal region (Figure 6) provide mixing in the halocline that might affect the thickness of the CIL. This explains, at least partially, the importance of lateral mixing in the Black Sea, providing the basin interior with strong signals generated in the coastal areas. Unfortunately, studies in this field are almost non-existent for the Black Sea, but what is already known from ocean studies is that this is a potentially very important area for exploring different scenarios regarding the transport and transformation of physical and biological matter on the shelf break. What has not yet been addressed in enough detail in the context of horizontal mixing is the interaction between the vertical stratification and the processes acting in the horizontal. It takes about 1 year for the currents to make a loop along the coast; however, the vertical penetration of the signals is much slower. Under such conditions, the horizontal–isopycnical mixing is much larger than the vertical–diapycnal mixing, and the water properties tend to align to the isopycnals. The latter exhibit a large slope over the narrow continental slope and split the Black Sea into two dynamically distinct areas: coastal and open ocean, where water properties are dominated by surface- and deep-water characteristics, respectively. What has not yet been analysed in the current models is the extent to which the mixing parameterizations, aligned along the model co-ordinates, are applicable in areas of sharp slopes (even under very fine resolution). More elaborate parameterizations (Gent & McWilliams, 1990; Griffies et al., 1998) have to be further applied in order to reach a better consistency between the models and the real mixing processes. Developing new mixing parameterizations in extreme areas such as the Black Sea is another challenging task for the future. Since the vertical overturning (i.e. a measure of internal mixing) appears to be about one order of magnitude stronger than the river discharge or the transport through the Straits of Bosphorus (this factor is in agreement with the estimates from observations of Buesseler et al., 1991), it is of fundamental interest to test the sensitivity of this estimate to different parameterizations and water balance scenarios. Among the interesting dynamical features deserving future interest, and in particular more profound quantification, are the two branches of vertical circulation (i.e. upwelling in the interior and downwelling in the coastal zone) communicating by exchanging water and other properties in the slope area. The position, slope and variability of the pycnocline in the coastal area might have important consequences not only for the physical system, but also, by increasing the volume of the surface layer, the pelagic system. What has now become clear is that the ventilation of the coastal zone is controlled by the eddy activity along the rim current, which has far-reaching consequences. By exchanging waters between the two areas (often diapycnally), the model tends to change the vertical stratification and the amplitude of the seasonal signal in the intermediate layer. As mentioned earlier, these exchange processes have to be further investigated with models that have more elaborate parameterizations of the mixing. Acknowledgements The authors thank M. H. Calvex for altimeter data processing and V. Belokopytov for providing us with gridded climatic data. The help of E. Cholakov, who plotted some figures, is also acknowledged. Thanks are also due to G. Korotaev for useful comments on the manuscript. Data from the CoMSBlack surveys have been prepared in the framework of the NATO Black Sea project and been made available through Black Sea Environment Internet Node (BSEIN). This work has been supported by an EROS 21 research contract with CEC grant IC20-CT96-0065. We acknowledge the help of the UKMO for making available meteorological analysis data under the research contract with CEC EV5V-CT92 0121, supplementary agreement CIPD CT93 0016. This is publication No. 194 of the EU-ELOISE initiative. References Altman, E. N., Gertman, I. F. & Golubeva, Z. 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