Abstract
A numerical three-dimensional nonlinear model of the hydrophysical fields of the Black Sea is presented. The properties of model discrete equations are described. The results of test experiments on the choice of model finite-difference approximations and parameters (as applied to the online forecasting of currents) are given. The results of prognostic calculations of the hydrophysical fields of the Black Sea are given for the period of March 31, 2005, to September 26, 2006. These results show that this numerical model with consideration for real atmospheric forcing can yield a satisfactory forecast of the parameters of the upper layers of the sea for 18 months of model time.
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G. I. Marchuk and A. S. Sarkisyan, The Razrezy Program and Modeling of Water Circulation in the World Ocean, in Numerical Simulation of the Climate of the World Ocean (VINITI, Moscow, 1986), pp. 5–18 [in Russian].
G. I. Marchuk, “Simulation of Climate Change and the Problem of Long-Term Weather Forecasting,” Meteorol. Gidrol., no. 7, 25–36 (1979).
S. G. Demyshev and G. K. Korotaev, “Numerical Energy-Balanced Model of Baroclinic Currents of the Ocean on the Grid,” in Numerical Models and Results of Calibration Calculations of Currents in the Atlantic Ocean (IVM RAN, Moscow, 1992), pp. 163–231 [in Russian].
A. V. Alekseev, E. M. Al’tman, V. I. Batov, et al., The Study and Modeling of Hydrodynamic Processes in the Black Sea, Ed. by Levikov S.P., Moscow: Gidrometeoizdat, 1989 [in Russian].
S. G. Demyshev and G. K. Korotaev, “Numerical Experiments on the Four-Dimensional Assimilation of Observational Data in the Black Sea in June 1984 on the Basis of the Numerical Energy-Balanced Model,” Morsk. Gidrofiz. Zh., no. 3, 21–33 (1992).
G. K. Korotaev and V. N. Eremeev, Introduction to Operational Oceanography (NPTs, Sevastopol) [in Russian].
S. V. Motyzhev, “The Development of the Drift Block within the Framework of the Strategy of Building Surveillance Systems for Ocean and Climate Variability,” in Proc. VI Int. Sci.-Techn. Conf. “Modern Methods and Tools for Oceanographic Research,” Plenary Report (Shirshov Institute of Oceanology, Russ. Acad. Sci., Moscow, 2000), pp. 105–114 [in Russian].
A. P. Tolstosheev, G. K. Korotaev, and E. G. Lunev, “Thermoprofiling Drifting Buoy. Ecological Safety of Coastal and Shelf Areas and Complex Use of Shelf Resources,” in Collected Papers of National Academy of Sciences of Ukraine, // Sbornik nauchnykh trudov. Vyp. 11. NAN Ukrainy (MGI, IGN, OF InByum, Sevastopol, 2005), vol. 11, pp. 143–154 [in Russian].
A. Arakawa, “Computational Design for Long-Term Numerical Integration of the Equations of Fluid Motion: Two-Dimensional Incompressible Flow,” J. Comput. Phys., no. 1, 119–143 (1966).
S. G. Demyshev and G. K. Korotaev, “Numerical Conservative Model of Baroclinic Currents in the Ocean,” in Numerical Simulation of Climate of the World Ocean (VINITI, Moscow, 1986), pp. 60–79 [in Russian].
S. G. Demyshev, “Approximation of the Hydrostatic Equation in the Numerical Conservative Models Using Nonlinear Equation of State,” Morsk. Gidrofiz. Zh., no. 2, 59–62 (1991).
S. G. Demyshev, “Buoyant-Force Approximation in a Numerical Model of Baroclinic Ocean Currents,” Izv. Atmos. Ocean. Phys. 34(3), 362–369 (1998).
A. Arakawa and V. R. Lamb, “A Potential Enstrophy and Energy Conserving Scheme for the Shallow Water Equation,” Mon. Wea. Rev. 109(1), 18–36 (1981).
S. G. Demyshev, “Numerical Experiments on the Comparison of Two Finite Difference Schemes for Movement Equations in a Discrete Model of the Black Sea Hydrodynamics,” Morsk. Gidrofiz. Zh., no. 5, 47–59 (2005).
N. G. Iakovlev, “A Numerical Model and Preliminary Results of Calculations to Reproduce the Summer Circulation in the Kara Sea,” Izv. Atmos. Ocean. Phys. 32(5), 660–668 (1996).
S. G. Demyshev, “On Increasing the Accuracy of the Calculation of Currents in the Black Sea using a Reduced Sea Level in a Numerical Model,” Meteorol. Gidrol., no. 9, 75–83 (1996).
G. L. Mellor and T. Yamada, Users Guide for Three-Dimensional Primitive Equation Numerical Ocean Model. Available on the Princeton Ocean Model Web Site, http://www.ocean-modeling.org.
A. I. Perederei and A. S. Sarkisyan, “Exact Solutions of Some Transformed Equations for the Dynamics of Sea Currents,” Izv. AN SSSR. Fiz. Atmos. Okeana 8(10), 1073–1079 (1972).
S. G. Demyshev, “Modeling the Seasonal Variability of the Black Sea Hydrophysical Fields with Harmonic and Biharmonic Parametrizations of the Horizontal Friction Force,” Izv. Atmos. Ocean. Phys. 39(2), 248–258 (2003).
S. G. Demyshev, “A Numerical Experiment on the Calculation of Density Fields and Current Velocity in the Black Sea in Summer,” Morsk. Gidrofiz. Zh., no. 4, 59–62 (1991).
S. G. Demyshev, “Four-Dimensional Assimilation of Temperature and Salinity Data from the Black Sea,” Izv. Atmos. Ocean. Phys. 32(2), 258–267 (1996).
S. G. Demyshev and G. K. Korotaev, “Numerical Modeling of the Seasonal Trend of Synoptic Variability of the Black Sea,” Izv. Atmos. Ocean. Phys. 32(1), 99–106 (1996).
S. G. Demyshev, G. K. Korotaev, and V. V. Knysh, “Modeling the Seasonal Variability of the Temperature Regime of the Black Sea Active Layer,” Izv. Atmos. Ocean. Phys. 40(2), 227–237 (2004).
A. M. Obukhov, “Turbulence in Thermally Inhomogeneous Atmosphere,” Trudy Inst. Teor. Geofiz. AN SSSR 24(151), 3–42 (1946).
R. C. Pacanowski and S. G. H. Philander, “Parameterization of Vertical Mixing in Numerical Models of Tropical Oceans,” J. Phys. Oceanogr. 11(11), 1443–1451 (1981).
A. Harten, “High Resolution Schemes for Hyperbolic Conservation Laws,” J. Comput. Phys. 49(3), 357–393 (1983).
V. V. Fomin, “Numerical Model of Water Circulation in the Sea of Azov,” Nauch. Trudy UkrNIGMI, no. 249, 246–255 (2002).
Yu. B. Ratner, M. V. Martynov, T. M. Bayankina, et al., “Information Flows in the Real-Time System of Rapid Monitoring of Hydrophysical Fields of the Black Sea and Automation of Their Processing,” in Environment Control Systems-2005 (EKOSI-Gidrofizik, Sevastopol, 2005), pp. 140–149 [in Russian].
Yu. B. Ratner, M. V. Ivanchik, T. M. Bayankina, et al., “The System Structure and Management of the Computing Process of Modeling the Dynamics of the Black Sea,” in Environment Control Systems. Tools and Information Technologies-2006 (EKOSI-Gidrofizika, Sevastopol, 2006), pp. 150–158 [in Russian].
V. L. Dorofeev, G. K. Korotaev, and Yu. B. Ratner, “The Monitoring System of the Hydrophysical Fields in the Black Sea in a Quasi-Operative Mode,” in Environment Control Systems. Tools and Information Technologies-2006 (EKOSI-Gidrofizika, Sevastopol, 2006), pp. 150–158 [in Russian].
Hydrometeorology and Hydrochemistry of the Seas of the USSR, vol. IV: The Black Sea, no. 1: Hydrometeorological Conditions (Gidrometeoizdat, St. Petersburg, 1991) [in Russian].
Marine Portal NSAU. http://dvs.net.ua
G. L. Mellor and T. A. Yamada, “Development of a Turbulence Closure Model for Geophysical Fluid Problems,” Rev. Geophys. 20(4), 851–875 (1982).
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Original Russian Text © S.G. Demyshev, 2012, published in Izvestiya AN. Fizika Atmosfery i Okeana, 2012, Vol. 48, No. 1, pp. 137–149.
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Demyshev, S.G. A numerical model of online forecasting Black Sea currents. Izv. Atmos. Ocean. Phys. 48, 120–132 (2012). https://doi.org/10.1134/S0001433812010021
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DOI: https://doi.org/10.1134/S0001433812010021