Journal of the Georgian Geophysical Society, Issue B. Physics of Atmosphere,Ocean and Space Plasma, v.12, 2008, pp. Simulation and forecast of hydrophysical fields in the part of the Georgian Black Sea coastal zone Avtandil A. Kordzadze, Demuri D. Demetrashvili M. Nodia Institute of Geophysics, 1,Alexidze Str., 0193, Tbilisi, Georgia, e-mail: akordzadze@yahoo.com, demetr_48@yahoo.com Abstract A 3-D baroclinic model of the Black Sea dynamics was adapted and successfully tested for simulation and forecast of the Black Sea circulation and thermodynamic fields in the part of the Georgian coastal zone (1 km resolution) within the International project ARENA. A pilot experiment on functioning of the Black Sea Nowcasting/Forecasting System in the near-real time regime has been carried out for the first time in the Black Sea region during 22-26 July 2005. This regional model was nested in a basin-scale model (BSM) of Marine Hydrophysical Institute (MHI) of Sevastopol (Ukraine). All input data required for 2-days forecasts were obtained from MHI by means of Internet. Comparison of results of forecasts computed from BSM and high resolution nested grid model showed that the improvement of the spatial resolution together with other factors is very important in order to adequately reproduce coastal eddies of small sizes near the Georgian seashore. 1. Introduction At the present time an ecological situation of the Black Sea is in the disturbing conditions and its pollution level is considerably growing. Especially shelf and coastal zones of the sea are, in most cases, areas of the intensive anthropogenic loading [1, 3]. Here there are processes of dispersion and transformation of polluting substances, lithodynamical processes (transport of the weighed and carrying deposits, erosion of coast, formation of beaches), physical and chemical processes, etc. The studying and forecast of such processes is closely connected with understanding and forecasting of circulating processes. Ability to diagnose and predict the marine environment state allows to make operatively administrative decisions and to avoid negative consequences of anthropogenic influence. Development of the Black Sea Nowcasting/Forecasting System was one of the main objects of the International project ARENA funded by EU. The first stage in the realization of this object was testing of this System in the near-real time. A pilot experiment on functioning of the Black Sea Nowcasting/Forecasting System in the near real time regime has been carried out for the first time in the Black Sea region from 22 till 26 July 2005 within the project ARENA [4]. Leading oceanographyc scientific teams of all Black Sea riparian countries (Bulgaria, Georgia, Romania, Russia, Turkey, Ukraine) participated in the pilot experiment. One of the principle parts of the experiment was calculation of forecasts of hydrophysical fields with high resolution in the Georgian sector of the Black Sea. With this purpose the 3-D baroclinic prognostic model of the Black Sea dynamics [5-8] was adapted to the some part of the Georgian Black Sea coastal zone and was nested in a basin-scale model of the Black Sea dynamics (BSM) of Marine Hydrophysical Institute (MHI, Sevastopol/Ukraine). This nested grid regional model was applied for simulation and forecast of the Black Sea regional circulation and thermodynamic fields with 1 km resolution. It should be note that the basin scale model [5-8] may be consider as continuation of previous works [9-11] on simulation of dynamical processes in the Black Sea based on the full system of ocean hydrothermodynamic equations In this paper the methodology of realization of nested grid modeling and results of forecasts of hydrophysical fields in the Georgian nearshore zone of the Black Sea are presented. 2. Methodology of functioning of Nowcasting/Forecasting System The essence of the international scientific and technical experiment was the following [4]. In the appointed day in the National Hydrometeorological Administration of Romania started atmosphere forecasting System ALADIN, which gave the information about the atmosphere current condition over the Black Sea, and also its forecast for two days. This data were transmitted by means of Internet in MHI, where 2-days marine forecasts were calculated for entire Black Sea basin on the basis of BSM of MHI. After finishing of calculations, these calculated prognostic data were transferred in the Marine Research Centres of all the riparian countries including M. Nodia Institute of Geophysics (Tbilisi, Georgia). In these Centres these data were entered into regional mathematical models with the purpose to calculate 2-days marine forecasts in the separate local areas with high resolution. The results of marine forecasts, obtained from regional models, were transferred in MHI, where were analyzed and located on the Internet site. 3. Simulation and forecast of regional circulation Simulation and forecast of regional circulation processes in the Georgian near-shore zone of the Black Sea was carried out on the basis of the regional model (developed on the basis [5-8]), which was nested in the grid of BSM of MHI. The regional area was limited by Georgian coastline and liquid boundary along 410E covering Sokhumi, Poti and Batumi ports. 3.1. Model description The regional nested grid model of the Black Sea circulation is based on the full system of the ocean hydrothermodynamic equations in hydrostatic approximation. The equations are written in zcoordinates for deviations of thermodynamic values from their standard vertical distributions. Atmospheric forcing is taken into account by boundary conditions on the sea surface considered as a rigid surface, where the wind stress components are given as known functions, for temperature and salinity the Neumann conditions are used by given of heat fluxes, evaporation and atmospheric precipitations. On the sea bottom the velocity components, heat and salt fluxes are equal to zero On the lateral surfaces, limiting the area of solution, two following kinds of boundary conditions are considered: a) On the rigid boundaries, shearing the sea basin from land, components of current velocity, gradients of temperature and salinity normal to boundary surface are equal to zero; b) On the liquid boundary, values of velocity, temperature and salinity obtained from BSM of MHI were used. The coefficient of horizontal turbulent viscosity is assumed as a function of a horizontal grid step and horizontal gradients of velocity components [12], and for the definition of turbulent heat and salt diffusion coefficients the modified Obukhov’s formula is used [13]. 3.2 Method of solution The existence and uniqueness theorems of 3D nonstationary problem of sea dynamics are established in [14-16]. For numerical solution of the problem two-cycle splitting method regarding physical processes, coordinate planes and lines is used [17, 18]. 3.3 Methodology of nested grid modelling and input data At realization of the suggested regional model for the local area the sea surface was covered with a grid using horizontal constant step equal 1 km and grid nodes 69 and 203 along axes x and y, respectively. On a vertical the non-uniform grid with 27 calculated levels on depths: 1, 3, 5, 7, 11, 15, 25, 35, 55, 85, 135, 205, 305, …, 1505 m were considered. Time step t 1 h. All input data needed for forecast of hydrophysical fields were obtained from MHI on a grid of BSM with 5 km spacing. These input data represented the initial fields corresponded to the Georgian water area and two-hour-step data of forecast obtained by BSM and atmosphere forcing data during 48 hours. Particularly, these data were following: (1) Wind stress components on the Black Sea surface, (2) surface heat fluxes, (3) evaporation, (4) precipitation, (5) 3-D hydrophysical fields (temperature, salinity, current velocities) as at initial moment t=0, also their prognostic values (obtained from BSM) for oar location area. During realization of the nested grid model the received 3-D initial fields and atmosphere forcing data were interpolated from the grid of BSM (with 5 km resolution) to the grid of nested grid model (with 1 km resolution). Besides, after each 2 hours during integration from 3-D prognostic hydrophysical fields have been obtained lateral boundary conditions for velocity components, temperature and salinity on the liquid boundary. The regional model outputs were 1-day and 2-days forecasts of current, temperature and salinity fields with 1 km spacing on all calculated levels in the Georgian nearshore zone. 4.4 Results of forecast Before carrying out of the pilot experiment on functioning of near-operational system there was preparatory stage the main goal of which was joining of the regional model with the BSM of MHI. With this purpose test numerical experiment on forecast of Black Sea regional circulation was carry out for time period 7 June, ooh, 2003 – 15 June, 00h, 2003. All needed input data received from MHI were the same as described in previous section, but there were climatic atmospheric input data instead of prognostic one. Integration of the model equation system started on 00h, 7 June 2003 with duration 8 days. Figures 1-4 show calculated current fields computed from the regional high resolution model (left side) and from BSM of MHI (right side) at different time moments on depths 5 and 55 m. 8 June 2003, 18 h (a) (b) Fig. 1. Computed current fields obtained (a) from regional model and (b) from BSM of MHI. on depth of 5m at time moment 18h 8 June 2003. 8 June 2003, 18 h Fig. 2. The same as in Fig.1, but on depth of 55m. 10 June 2003, 18 h Fig.3. The same as in Fig.1, but at time moment 18 h, 10 june 2003 10 June 2003, 18 h Fig.4. The same as in Fig.3, but on depth of 55 m From comparison of current patterns received from these models it is visible that results of regional simulation closely follow the simulation of the BSM. The main difference is in the narrow shelf region - the high-resolution nested-grid model describes well formation of small coastal eddies while they are not observed in BSM results. After that, during five days from 22 July till 26 July 2005 the experiment on operational functioning of the Black Sea Nowcasting/Forecasting System has been carried out. The experiment started at 12-00 o’clock of 22 July 2005. Every day during this period we calculated forecasts of hydrophysical fields (currents, temperature, salinity) for 48 hours and placed results of calculations on ftp-site for the time moments of 24 and 48 hours after the beginning of calculations. To illustrate the results of forecast there are presented prognostic fields in case of following forecast times: 12-00 h, 22 July – 12-00 h, 24 July and 12-00 h, 26 July – 12-00 h, 28 July Forecast time: 12-00 h 22 July - 12-00 h, 24 July 23 July 12-00 o’clock Fig.5. Calculated fields of current, temperature and salinity on the sea surface at 12-00 o’clock, 23 July 2005. Fig.6. The same as in Fig.5, but on depth of 25 m Forecast time: 12-00 h 26 July - 12-00 h, 28 July 28 July 12-00 o’clock Fig.7. The same as in Fig.5, but at 12-00 o’clock, 28 July 2005. Fig.8. The same as in Fig.7, but on depth of 10 m. The analysis of results of marine forecasts, which was carried out in MHI, has shown, that results of the forecast are in the good agreement with observational data. It is necessary to notice that the conducted International scientific and technical experiment on functioning of the Black Sea Nowcasting/Forecasting System has caused wide interest and both its scientific and practical value has been highly appreciated by experts-oceanologists of the Black Sea riparian countries [19]. 5. Summary The pilot experiment on operational functioning of the Black Sea Nowcasting/Forecasting System has been carried out for the first time for the Black Sea region, which showed that developed system can function in the near-real time regime. In this experiment, which is carry out in the framework of the International project ARENA, forecast of hydrophysical fields in the Georgian nearshore zone with high resolution (1 km spacing) were calculated on the basis of the regional nested grid model developed on the basis [5-8]. Comparison of results of forecasts computed from BSM of MHI and high resolution nested grid model showed that the spatial resolution increase together with other factors is very important in order to adequately reproduce coastal eddies of small sizes near the Georgian seashore. References [1] Ivanov A. N. A pollution state of a coastal zone of the Black Sea (Economic zones of Ukraine). Ecological safety of coastal and shelf zones and complex use of resources of a shelf. Sevastopol, 2004, issue 10, pp. 123-129 (in Russian). [2] Ivanov V. A., Shapiro N. B. Modelling of currents in the Kerch strait. Ecological safety of coastal and shelf zones and complex use of resources of a shelf. Sevastopol, 2004, issue 10, pp. 207-232 (in Russian). [3] Eremeev V. N., Korotaev G. K. - The Black Sea GOOS: Advance technologies for sustainable development of the regional environment. Proceed. of the 30th International Conference Pacem in Maribus. “A year after Johannesburg. Ocean Conference and Sustainable Development: Ocean and Coasts – a Glimpse into the Future”. October 27-30, 2003, Kiev, Ukraine. Sevastopol, 2004, pp.460-469. [4] Korotaev G. K., Dorofeev V. L., Kubriakov A. I., Cordoneanu E., Grigoriev A. V., Nesterov E. S., Kordzadze A., Oguz T., Slabakov H. Development of the hydrometeorological service system for the Black Sea region including diagnosis and forecast of hazardous events (project ARENA). The International Conference on the problems of hydrometeorological security (prediction and adaptation of the society to the extreme climatice changes). September 26-29, 2006, Moscow, Russia. [5] Kordzadze A. A., Demetrashvili D. D. Results of numerical experiment on modeling of innerannual hydrological regime of the Black Sea. J. Georgian Geophys. Soc.,2003, v.8b, pp.3-18. [6] Kordzadze A. A., Demetrashvili D. D. Numerical modeling of inner-annual variability of the hydrological regime of the Black Sea with taking into account of alternation of different types of the wind above its surface. Proceed. of Intern. Conference Pacem in Maribus. “A year after Johanesburg-Ocean Governance and Sustainable Development: Ocean and Coasts – a Glimpse into the Future”. October 27-30, 2003, Kiev, Ukraine. Sevastopol, 2004. pp.495-505. [7] Kordzadze A. A., Demetrashvili D. D., and Surmava A. A. Numerical modeling of hydrophysical fields of the Black Sea under the conditions of alternation of atmospheric circulation processes. Izvestiya AN, Fizika Atmosphery i Okeana, 2008, vol.44, N 2, pp.227-238 (in Russian). [8] Kordzadze A. A., Demetrashvili D. D., and Surmava A. A. About circulation in the Black Sea in conditions of very strong and weak winds. Meteorologia i Gidrologia, № 9, 2007, с. 58-64 (in Russian). [9] Marchuk G. I., Kordzadze A. A., Skiba J. N. Calculation of the basic hydrological fields of the Black Sea on the basis of a splitting method. Izv. Acad. Sci. USSR, Atmospheric and Oceanic Physics, v.11, N4, 1975, pp. 379-393 (in Russian). [10] Marchuk G. I., Kordzadze A. A., Zalesny V. B. A problem of mathematical modeling of sea and oceanic currents. In: The Differential and Integrated Equations. Boundary Problems. Tbilisi, 1979, pp.99-151 (in Russian). [11] Marchuk G. I., Kordzadze A. A. The perturbation theory and statement of inverse problems of ocean dynamics. Proceedings of Tbilisi state University. Mathematics, Mechanics, Astronomy, v. 259, 1986, pp.49-65 (in Russian). [12] Zilitinkevich S. S., Monin A. S. The turbulence in dynamical models of the atmosphere, Leningrad, Nauka, 1971, 44 p (in Russian). [13] Marchuk G. I., Kochergin V. P., Sarkisyan A. S., et al. Mathematical models of ocean circulation, Novosibirsk, Nauka, 1980, 288 p (in Russian). [14] Kordzadze A. A. About uniqueness of the solution of one problem of ocean dynamics. DAN CCCR, 1974, t.219, N 4, pp. 856-859 (in Russian). [15] Kordzadze A. A. Mathematical questions of solving of ocean dynamics problems. Novosibirsk, VC CO AN CCCR, 1982, 148 p (in Russian). [16] Sukhonosov V. I. About correctness of 3-D task of ocean dynamics. In: Mechanics of heterogeneous continuous mediums. Novosibirsk, 1981, issue 52, p.37-53 (in Russian). [17] Marchuk G. I. Numerical solution of problems of the atmosphere and ocean dynamics. Leningrad, Gidrometeoizdat, 1974, 303p (in Russian). [18] Kordzadze A. A. Mathematical modeling of see current dynamics (theory, algorithms, numerical Experiments), M.: OVM AN SSSR, 1989, p.218 (in Russian). [19] Operative oceanography: Black sea under the control of scientists. The newspaper “Slava Sevastopolia” Ukraine, № 153(22088), 19 August, 2005 (in Russian). Моделирование и прогноз гидрофизических полей в части Грузинской прибрежной зоны Черного моря Автандил А. Кордзадзе, Демури И. Деметрашвили Резюме Трёхмерная бароклинная модель динамики Чёрного моря была адаптирована и успешно испытана для моделирования и прогноза циркуляции и термодинамических полей в определённой части Грузинского сектора Чёрного моря (с разрешением 1 км) в рамках международного проекта ARENA. В течение 22-26 июля 2005 г. в первые для региона Чёрного моря был осуществлён пилотный эксперимент по функционированию системы диагноза и прогноза состояния Черного моря в режиме близком к реальному времени. Эта региональная модель была вставлена в модель динамики для всего бассейна Чёрного моря (с разрешением 5 км) морского гидрофизического Института (МГИ) национальной Академии наук Украины (г. Севастополь). В течение проведения пилотного эксперимента все входные данные, необходимые для прогноза с заблаговременностью 2 дней, получались из МГИ с помощью Интернета. Сравнение результатов прогноза, полученных из модели МГИ и региональной модели с высоким разрешением, показало, что повышение пространственного разрешения модели вместе с другими факторами является необходимым шагом для того, чтобы адекватно воспроизводить прибрежные вихри малых размеров в Грузинской прибрежной зоне Чёрного моря. hidrofizikuri velebis modelireba da prognozi saqarTvelos Savi zRvis sanapiro zolis nawilSi avTandil korZaZe, demuri demetraSvili reziume Savi zRvis dinamikis samganzomilebiani baroklinuri modeli adaptirebuli da warmatebiT iyo gamocdili zRvis cirkulaciisa da Termodinamikuri velebis modelirebisa da prognozirebisaTvis Savi zRvis saqarTvelos seqtoris nawilSi saerTaSoriso proeqtis ARENA farglebSi. 2005 wlis 22-26 ivlisis ganmavlobaSi pirvelad Savi zRvisaTvis Catarda zRvis mdgomareobis diagnozisa da prognozis sistemis realurTan miaxloebul reJimSi funqcionirebis piloturi eqsperimenti. 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