Abstract
Hydrodynamic asymptotic theory of formation of large-scale circulation of Caspian Sea water is proposed. Seasonally averaged mean annual currents are studied; the problem is formulated under a linear baroclinic model of steady currents. The vertical Ekman number E V = A/ΩH 2(A is the kinematic coefficient of vertical turbulent exchange, Ω = 2ω sinφ is the Coriolis parameter, H is the mean sea depth) is a small parameter E V ≪ 1which allows the method of matched asymptotic expansions to be used. Depressions in the Middle and Southern Caspian are shown to play the principal role in the formation of the structure of large-scale water circulation. According to the proposed theory, the isobath passing through the saddle point on the Apsheron step (separatrix isobath) plays an important part in the dynamics of currents.
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Akhverdiev, I.O. and Demin, Yu.L., On the structure of synoptic currents in the Caspian Sea in summer based on diagnostic calculations, in Kaspiiskoe more. Struktura i dinamika vod (The Caspian Sea: Water Structure and Dynamics), Moscow: Nauka, 1990. pp. 5–15.
Badalov, A.B., On diagnostic calculations of Caspian currents, Tr. VNII Gidrometeorol. inf. Mirovogo tsentra dannykh, 1986, no. 130, pp. 91–94.
Badalov, A.B. and Rzheplinskii, D.G., Sinopticheskaya trekhmernaya tsirkulyatsiya verkhnego sloya Kaspiiskogo morya, Morsk. Gidrofiz. Zhurn., 1986, no. 1, pp. 15–19.
Baklanovskaya, V.F., Blatov, A.S., Perminov, S.M., and Chechel’, I.I., Numerical simulation of the effect of variations of wind, shoreline configuration, and Volga runoff on water circulation in the Northern Caspian, in Kaspiiskoe more. Struktura i dinamika vod (The Caspian Sea: Water Structure and Dynamics), Moscow: Nauka, 1990. pp. 31–39.
Bakhmalov, F.G., Thermohaline structure and estimates of geostrophic circulation in the Caspian Sea, Izv. AN Azerb. SSR, Ser. Nauk Zemle, 1968, no. 2, pp. 88–93.
Bolgov, M.V., Krasnozhon, G.F., and Lyubushin, A.A., Kaspiiskoe more. Ekstremal’nye gidrologicheskie sobytiya (Caspian Sea: Extreme Hydrological Events), Moscow: Nauka, 2007.
Valler, F.H. and Egorov, I.G., On the dominating water transport in the Northern Caspian during the navigation and under-ice period, Sb. rabot Astrakhanskoi ZGMO, 1980, no. 2, pp. 73–92.
Zenin, V.A., Caspian Sea Currents, in Rukovodstvo dlya moreplavatelei (Guide for Navigators), Baku, 1942.
Zyryanov, V.N., Teoriya ustanovivshikhsya okeanicheskikh techenii (Theory of Steady Oceanic Currents), Leningrad: Gidrometeoizdat, 1985.
Ibraev, R.A., Matematicheskoe modelirovanie termogidrodinamicheskikh protsessov v Kaspiiskom more (Mathematical Simulation of Thermohydrodynamic Processes in the Caspian Sea), Moscow: GEOS, 2008.
Ibraev, R.A. and Kurdyumov, D.G., Sensitivity of seasonal variability of the Caspian Sea circulation to the parameterization of vertical mixing in a hydrodynamic model, Izv., Atmos. Ocean. Phys., 2003, vol. 39, no. 6, pp. 768–774.
Ibraev, R.A., Oztsoi, E., and Shrum, K., Seasonal variations of water circulation and level in the Caspian Sea: analysis of simulation results and observational data, Tr. Mezhdunarodnogo Seminara “Izmenenie ekosistemy Kaspiiskogo morya v usloviyakh aktivizatsii resursnoi deyatel’nosti” (Proc. Intern. Workshop “Changes in Caspian Sea Ecosystem under Increased Resource Activity), Astrakhan’: Izd. KaspNIRKh, 2002, no. 3, pp. 8–19.
Kaspiiskoe more. Proekt “Morya” (Caspian Sea. Project “Seas”), Leningrad: Gidrometeoizdat, 1992, vol. VI, no. 1.
Kizner, Z.I. and Fel’zenbaum, A.I., On currents in the ocean caused by precipitation and evaporation, Izv. Akad. Nauk, Fiz. Atm. Okeana, 1976, vol. 12, no. 5, pp. 531–538.
Klevtsova, H.D., Currents at the western coast of the Middle and Southern Caspian (from Chechen’ Island to the Kura Mouth), in Sb. Rabot Bakinskoi GMO, 1968, no. 4, pp. 153–159.
Knipovich, H.M., Trudy Kaspiiskoi ekspeditsii 1914–1915 gg. (Works of Caspian Expedition 1914–1915), vol. 1, St. Peterburg, Moscow, 1921.
Kompaniets, Yu.G., Scheme of currents in the Northern Caspian, Okeanologiya, 1973, vol. 13, no. 4, pp. 591–596.
Kosarev, A.H., Gidrologiya Kaspiiskogo i Aral’skogo morei (Hydrology of the Caspian and Aral Seas), Moscow: MGU, 1975.
Kurdyumov, D.G. and Oztsoi, E., Monthly mean characteristics of the intra-annual variability of the Caspian Sea water circulation from an eddy-resolving thermohydrodynamical model, Oceanology (Eng. Transl.), 2004, vol. 44, no. 6, pp. 789–798.
Lebedev, S.A. and Kostyanoi, A.G., Satellite altimetry of the Caspian Sea, Vest. Kaspiya, 2004, no. 3, pp. 82–101.
Lebedev, S.A. and Kostyanoi, A.G., Sputnikovaya al’timetriya Kaspiiskogo morya (Satellite Altimetry of the Caspian Sea), Moscow: More, 2005.
Lednev, V.A., Techeniya Severnogo i Srednego Kaspiya (Currents in the Northern and Middle Caspian), Moscow: Morskoi transp, 1943.
Mikhalevskii, A.H., Scheme of currents of the Caspian Sea, Zap. Gidrograf., 1931, vol. 66, pp. 46–54.
Panin, G.N., Mamedov, R., and Mitrofanov, I.V., Sovremennoe sostoyanie Kaspiiskogo morya (Current State of the Caspian Sea), Moscow: Nauka, 2005.
Panin, G.N., Nasonov, A.E., and Foken, T., Evaporation and heat exchange of a body of water with the atmosphere in a shallow zone, Izv., Atmos. Ocean. Phys., 2006, vol. 42, no. 3, pp. 337–352.
Popov, S.K., Modeling climatic thermohaline circulation in the Caspian Sea, Meteorol. Gidrol., 2004, no. 5, pp. 76–84.
Sarkisyan, A.S., Chislennyi analiz i prognoz morskikh techenii (Numerical Analysis and Prediction of Sea Currents), Leningrad: Gidrometeoizdat, 1977.
Skriptunov, I.A., Currents in the western part of the Caspian Sea, Tr. Gos. Okeanogr. Inst., 1974, no. 118, pp. 83–111.
Fel’zenbaum, A.I., Dynamics of sea currents, Itogi Nauki, Ser.: Mech., VINITI, 1968. pp. 97–338.
Shtokman, V.B., Izbrannye trudy po fizike morya (Selected Papers on Marine Physics), Leningrad: Gidrometeoizdat, 1970.
Yakovlev, N.G., Calculations of wind circulation of Caspian Sea water with the use of a finite-element numerical model, Meteorol. Gidrol., 1994, no. 8, pp. 85–91.
Ibrayev, R.A., Model of enclosed and semi-enclosed sea hydrodynamics, Russ. J. Numer. Anal. Math. Modelling, 2001, vol. 16, no. 4, pp. 291–304.
Ibrayev, R.A., Kurdumov, D., and Ozsoy, E., Seasonal variability of the Caspian Sea three-dimensional circulation, sea level and air-sea interaction: results of eddy resolving model, Phys. Processes in Natural Waters, Proc. of the 8th Eur. Workshop, Dep. of Water Resources Eng., Lund, Sweden: Lund Univ., 2004.
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Original Russian Text © V.N. Zyryanov, 2015, published in Vodnye Resursy, 2015, Vol. 42, No. 6, pp. 600–612.
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Zyryanov, V.N. Hydrodynamic basis of formation of large-scale water circulation in the caspian sea: 1. asymptotic theory. Water Resour 42, 776–787 (2015). https://doi.org/10.1134/S0097807815060111
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DOI: https://doi.org/10.1134/S0097807815060111