Physical Oceanography, Vol.
3, September, 2011 (Ukrainian Original No.
3, May–June, 2011)
NUMERICAL MODELING OF THE CLIMATIC CIRCULATION IN THE BLACK SEA
WITH THE HELP OF THE MELLOR–YAMADA 2.5 PARAMETRIZATION
A. V. Bagaiev
and S. G. Demyshev
We compute the model climatic temperatures fields and the fields of currents and levels for the Black
Sea by using the Mellor–Yamada 2.5 parametrization in the numerical nonlinear hydrodynamic model.
The comparison with the results of previous calculations shows that the largest quantitative deviations
are observed for the winter-spring period under the conditions of intense wind. The model reproduces
the main elements of the circulation of waters in the Black Sea: the cyclonic gyre, the Rim Current flow-
ing along the continental slope, the Sevastopol and Batumi anticyclones, and mesoscale eddies near the
Caucasian coast and in the regions of the sea neighboring with Cape Kaliakra, Sinop, and the Bosporus
Keywords: numerical experiment, coefficient of turbulence, Black Sea, climatic circulation, hydrody-
namics, Mellor–Yamada 2.5.
For the adequate reproduction of the thermodynamics of the Black Sea and, hence, for the prediction of its
state, the correct description of the processes running in the upper mixed layer is of principal importance. The
possibility of correct description of this layer depends, in turn, on the accepted physical and mathematical ap-
proximations in the model of dynamics of the sea.
In [1–3], the Philander–Pacanowski approach  was used for the evaluation of the coefficients of turbulent
viscosity and vertical diffusion in the numerical model aimed at the construction of the climatic circulation in
the sea. The large-scale and synoptic specific features of the thermohaline and dynamic structures of the hydro-
physical fields in the Black Sea known from the data of observations were reproduced.
A more accurate description of the processes of turbulent mixing running in the upper layer of the sea is
given by the Mellor–Yamada theory . According to this theory, the so-called 2.5 approximation is exten-
sively used in the oceanological works. In this approximation, it is necessary to solve two differential equations:
for the kinetic energy of turbulence and for the macroscale of turbulence. The remaining parameters are deter-
mined from the algebraic relations. The Mellor–Yamada 2.5 parametrization is used in the Princeton University
model applied in the numerical experiments aimed at modeling the circulation of waters in the Black Sea .
In the present work, we analyze the climatic circulation in the Black Sea by using the Mellor–Yamada 2.5
parametrization in the z-coordinate numerical model. The accumulated results are compared with the data of
calculations performed earlier.
Marine Hydrophysical Institute, Ukrainian National Academy of Sciences, Sevastopol, Ukraine.
Corresponding author: firstname.lastname@example.org.
Translated from Morskoi Gidrofizicheskii Zhurnal, No.
66–76, May–June, 2011. Original article submitted April 2, 2010; revision
submitted July 27, 2010.
0928–5105/11/2103–0211 © 2011 Springer Science+Business Media, Inc. 211