Physical Oceanography, Vol.
INVESTIGATION OF TRANSFORMATIONS OF THE LOCAL REGIONS OF
POLLUTION IN THE NORTHWEST PART OF THE BLACK SEA CAUSED
BY THE MOTION OF A CYCLONE
D. V. Alekseev,
V. A. Ivanov,
E. V. Ivancha,
V. V. Fomin,
and L. V. Cherkesov
By the method of mathematical simulation, we study the evolution of local discharges of pollut-
ants on the northwest shelf of the Black Sea induced by the motion of a cyclone. We use the
nonlinear equations of motion of a homogeneous viscous fluid in the hydrostatic approximation
and the equation of turbulent diffusion. A cyclonic formation is represented by a moving
axisymmetric area of low pressures. The discharges of pollutants are caused by the action of
instantaneous sources located on the sea surface. We perform the analysis of dependences of the
paths of motion of polluted regions, the periods of their dissipation, and the depths of penetration
of pollutants on the bottom topography and the intensity of diffusion processes.
The analysis of the evolution of discharges of pollutants by instantaneous or continuously acting sources in
the Black-Sea basin is of significant scientific and applied interest in connection with the intensification of eco-
nomical activities in this region. The indicated phenomenon (quite important from the ecological point of view)
was studied in [1, 2]. In these works, steady winds (or winds averaged over certain time intervals) are regarded
as the main factor responsible for the motion of water masses. However, the analyzed region is characterized by
well-pronounced cyclonic activities . The results of numerical experiments [4, 5] show that the passage of cy-
clonic formations over the Black Sea leads to the formation of intense nonstationary barotropic currents in the
northwest part of the shelf whose influence on the processes of transfer and diffusion of pollutants is studied
The present work is devoted to the investigation of the action of the indicated currents on the transformation
of local regions of pollution in the northwest part of the Black Sea and the analysis of dependences of the space
distributions of pollutants on the bottom topography and the intensity of diffusion processes.
Mathematical Statement of the Problem and the Procedure of Its Solution.
We use the nonlinear equations of motion of a homogeneous viscous fluid in the hydrostatic approximation
and the equation of turbulent diffusion of a passive impurity :
Marine Hydrophysical Institute, Ukrainian Academy of Sciences, Sevastopol.
Ukrainian Scientific-Research Hydrometeorological Institute, Marine Division, Sevastopol.
Translated from Morskoi Gidrofizicheskii Zhurnal, No.
17–27, November–December, 2005. Original article submitted Septem-
ber 14, 2004.
336 0928-5105/05/1506–0336 © 2005 Springer Science+Business Media, Inc.