Physical Oceanography, Vol.
1, May, 2011 (Ukrainian Original No.
1, January–February, 2011)
MATHEMATICAL MODELING OF MARINE SYSTEMS
PROGNOSTIC NUMERICAL ANALYSIS OF CURRENTS IN THE BLACK SEA
WITH HIGH HORIZONTAL RESOLUTION
S. G. Demyshev
We present the results of numerical prognostic experiments performed with a resolution of 1.64 km in
the horizontal coordinates. Unlike the calculations performed with coarser resolution, we reveal the fol-
lowing dynamic specific features: The Rim Current is traced down to 400 m as a continuous jet directed
along the continental slope. Mesoscale anticyclonic eddies are regularly formed along the east part of
the Anatolian coast and affect the formation of the Batumi anticyclone. The Sevastopol, Sinop, Kizilir-
mak, and Caucasian anticyclonic eddies are quasiperiodic. A region of cyclonic rotation of waters is
formed between the newly formed Sevastopol anticyclone and the previous eddy.
Keywords: Black Sea, numerical model, synoptic and mesoscale eddies.
At present, it is commonly accepted that the circulation in the Black Sea represents, in fact, a very large cy-
clonic gyre with synoptic (whose diameters vary from several tens to several hundreds of kilometers) and
mesoscale (whose diameters vary from several kilometers to several tens of kilometers) eddies (see, e.g., )
periodically formed and evolving on its periphery. The synoptic eddies can be quasistationary (Batumi anticy-
clone) or quasiperiodic (Sevastopol, Sinop, and other anticyclones). The eddies with radii of about 10 km are
repeatedly recorded according to the satellite data on the surface temperature. They are observed near the Ana-
tolian and Caucasian coasts. It is of interest to determine the significance of these eddies for the energy ex-
change and redistribution of momentum, heat, and salt between motions of various scales.
To solve this problem, in addition to the data of full-scale studies, it is necessary to use the results of nu-
merical experiments performed with a space resolution, which enables one to accurately approximate the mesos-
cale structures (eddies and currents). In what follows, we present the first results of prognostic calculations per-
formed with a resolution of 1.64 km in the horizontal coordinates. We also reveal some specific features of the
behavior of the Rim Current, Batumi and Sevastopol anticyclones, and coastal mesoscale eddies.
Equations of the Model
In the approximations of Boussinesq, hydrostatics, and incompressibility of seawater, the system of equa-
tions of the model  takes the following form:
Marine Hydrophysical Institute, Ukrainian National Academy of Sciences, Sevastopol, Ukraine; e-mail: email@example.com.
Translated from Morskoi Gidrofizicheskii Zhurnal, No.
36–47, January–February, 2011. Original article submitted September 28,
2009; revision submitted November 25, 2009.
0928–5105/11/2101–0033 © 2011 Springer Science+Business Media, Inc. 33