Abstract
Operational models based on the system of equations of geophysical thermohydrodynamics of the marine medium are considered, as are methods for an approximate reconstruction of the main geophysical fields from the data of deep-sea thermohaline measurements. The results of calculations for the White, Barents, and Kara seas are presented.
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References
A. S. Sarkisyan, Numerical Analysis and Forecast of Sea Currents (Gidrometeoizdat, Leningrad, 1977) [in Russian].
I. Orlanski, “A Simple Boundary Conditions for Unbounded Hyperbolic Flows,” J. Comp. Phys. 2(3), 251–269 (1976).
B. E. Launder, G. J. Reece, and W. Rody, “Progress in the Development of a Reynolds Stress Closure,” J. Fluid Mech. 68(3), 537–566 (1975).
P. Bradshow, “The Analogy between Streamline Curvature and Buoyancy in Turbulent Shear Flow,” J. Fluid Mech. 36(1), 177–191 (1969).
B. E. Launder and D. B. Spalding, Mathematical Models of Turbulence (Academic Press, London, 1972).
E. V. Semenov and M. V. Luneva, “A Numerical Model of Tidal and Thermohaline Circulation of the Water of the White Sea,” Izv. Akad. Nauk, Fiz. Atmos. Okeana 32(5), 704–713 (1995).
E. V. Semenov, Doctoral Dissertation in Physics and Mathematics (Moscow, 2004).
N. E. Bush, Flows in the Surface Layer over the Sea (Gidrometeoizdat, Leningrad, 1979) [in Russian].
M. N. Volzhenskii, A. A. Rodionov, E. V. Semenov, et al., “Experience of Verification of Operational Model for Monitoring the White Sea in 2004–2008,” Fundam. Prikl. Gidrofiz. 3(5), 33–41 (2009).
G. I. Marchuk, Numerical Solution of the Problems of Atmosphere and Ocean Dynamics (Gidrometeoizdat, Leningrad, 1974).
G. I. Marchuk, Conjugate Equations and Analysis of Complex Systems (Nauka, Moscow, 1992) [in Russian].
V. V. Penenko, “Direct Algorithm for Solving the Problem of Dynamic Coordination of Fields of Meteorological Element on a Sphere,” Trudy Zap. SIB. RNIGMI, no. 11, 1–11 (Gidrometeoizdat, Leningrad, 1972).
V. V. Penenko, “Computational Aspects of Modeling the Dynamics of Atmospheric Processes and Assessment of the Effect of Various Factors on the Dynamics of the Atmosphere,” in Some Problems of Computational and Applied Mathematics (Nauka, Novosibirsk, 1975), pp. 3–20 [in Russian].
F. Le Dimet and O. Talagrand, “Variational Algorithms for Analysis and Assimilation of Meteorological Observations: Theoretical Aspects,” Tellus A 38, 97–110 (1986).
A. S. Sarkisyan, V. V. Knysh, S. G. Demyshev, et al., “Multielement Four-Dimensional Analysis of Hydrophysical Fields on the Basis of Dynamic-Stochastic Models,” in Advances in Science and Technology, Ser. Atmosphere, Ocean, Space—Razrezy Program (VINITI, Moscow, 1987), vol. 9, pp. 5–64 [in Russian].
A. S. Sarkisyan, S. G. Demyshev, G. K. Korotaev, et al., “Numerical Experiments on a Four-Dimensional Analysis of Polymode and “Sections” Programmes—Oceanographic Data,” Elsevier Oceanography Series, Vol. 40: Coupled Ocean-Atmosphere Models, 659–673 (1985).
A. S. Sarkisyan and V. V. Knysh, “Four-Dimensional Analysis of Hydrophysical Fields of the Ocean and the Sea: Model Experiments and Results of Reconstructioni,” Izv. Atmos. Ocean. Phys. 39(6), 817–833 (2003).
E. V. Semenov and K. K. Rusetskii, “A Numerical Model for the Processing of Thermohaline Measurements in Test Areas,” Izv. Akad. Nauk SSSR, Fiz. Atmos. Okeana 23(3), 314–319 (1987).
E. V. Semenov and S. V. Biryuk, “Application of the Method of Lagrange Multipliers to the Problems of Assimilation of Field Data,” Izv. Akad. Nauk SSSR, Fiz. Atmos. Okeana 27(12), 1316–1324 (1991).
E. V. Semenov, Ein Numerisches Schema der Vierdimensionalen Analyse von Thermohalinen Feldmessungen im Ozean (Beitr. Meereskd, Berlin, 1989), vol. 60, pp. 41–52.
G. I. Marchuk and V. B. Zalesny, “A Numerical Technique for Geophysical Data Assimilation Problems using Pontryagin’s Principle and Splitting-Up Method,” Russ J. Numer. Anal. Math. Modelling 8(4), 311–328 (1993).
A. N. Tikhonov and V. Ya. Arsenin, Methods for Solving Ill-posed Problems (Nauka, Moscow, 1979).
A. N. Tikhonov, A. S. Leonov, and A. G. Yagola, Nonlinear Ill-Posed Problem (Nauka, Moscow, 1995) [in Russian].
E. V. Semenov and S. V. Biryuk, “Recovery of the Initial Conditions for Linear One-Dimensional Equation of Heat Transfer by the Gradient Method,” in The Megapoligon Experiment (Nauka, Moscow, 1992), pp. 363–370 [in Russian].
E. V. Semenov, S. S. Efimov, and K. K. Rusetskii, “Four-Dimensional Analysis of Hydrological Observations in the Megapoligon-87 Experiment,” in The Megapoligon Experiment (Nauka, Moscow, 1992), pp. 358–367 [in Russian].
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Original Russian Text © E.V. Semenov, E.V. Mortikov, 2012, published in Izvestiya AN. Fizika Atmosfery i Okeana, 2012, Vol. 48, No. 1, pp. 86–99.
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Semenov, E.V., Mortikov, E.V. Problems of operational data assimilation for marginal seas. Izv. Atmos. Ocean. Phys. 48, 74–85 (2012). https://doi.org/10.1134/S0001433812010124
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DOI: https://doi.org/10.1134/S0001433812010124