Physical Oceanography, Vol. 18, No. 4, 2008
MATHEMATICAL MODELING OF MARINE SYSTEMS
SIMULATION OF SURGE PHENOMENA AND TRANSFORMATION
OF THE ADMIXTURE FIELD IN THE SEA OF AZOV
IN THE PRESENCE OF STATIONARY CURRENTS
V. A. Ivanov, V. V. Fomin, L. V. Cherkesov, and T. Ya. Shul’ga
Using a three-dimensional nonlinear mathematical model, we study the processes of transfer and
diffusion of contaminants in the Sea of Azov in the presence of stationary currents. Changes in
the sea level, surge phenomena, and the direction and velocity of stationary currents caused by
winds with different maximum velocities are analyzed. We estimate the region of applicability
of the linear approximation and the choice of the value of integration steps over space and time
coordinates. It is shown that the growth of the maximum wind velocity increases the contami-
nated domains and the time of complete dispersion of the admixture. Solutions obtained in the
linear approximation differ slightly from those obtained by using the nonlinear model for wind
velocities up to 5 m/sec.
The Sea of Azov possesses unique bioresources and has a significant recreational potential. It is subjected
to strong anthropogenic action caused by both the water consumption in the region and the intensification of oil
and gas production in the southwest part of the sea. Regional climatic influence, which can strengthen or
weaken the negative consequences of economic activity, is also imposed on the anthropogenic changes in the hy-
drological mode of the sea.
There are numerous works devoted to studying currents and waves in the Sea of Azov under various wind
conditions in the absence of stationary currents. The process of generation of long-wave disturbances caused by
the passage of cyclones over the Sea of Azov was analyzed in  by using the two-dimensional equations of
shallow water. The wind waves and water circulation in this region for the spatially uniform and typical distri-
butions of the wind were modeled in . The problem of surge oscillations in the Sea of Azov under the action
of a constant wind was solved in  by using the linear approximation.
There are also works devoted to studying the evolution of admixture in the Azov basin under the action of a
spatially uniform wind varying with time. For example, the time of the complete dispersion of admixture, the
maximum area of contamination, and the transformation of admixture spots depending on the maximum wind
velocity and the sea depth at the site of ejection were analyzed in [4, 5].
In the present work, using a three-dimensional nonlinear mathematical model, we study the processes of
transfer and diffusion of contaminants in the Sea of Azov in the presence of stationary currents. We analyze
changes in the sea level, surge phenomena, and the direction and velocity of stationary currents caused by winds
Marine Hydrophysical Institute, Ukrainian Academy of Sciences, Sevastopol, Ukraine.
Translated from Morskoi Gidrofizicheskii Zhurnal, No.
52–68, July–August, 2008. Original article submitted February 21, 2007;
revision submitted February 27, 2007.
212 0928-5105/08/1804–0212 © 2008 Springer Science+Business Media, Inc.