Physical Oceanography, Vol.
SIMULATION OF THE EVOLUTION OF WAVE FIELDS INDUCED BY A MOVING
CYCLONE OVER THE NORTHWEST SHELF OF THE BLACK SEA
D. V. Alekseev,
V. A. Ivanov,
E. V. Ivancha,
V. V. Fomin,
and L. V. Cherkesov
The wave fields generated by cyclonic atmospheric disturbances in the region of the northwest
shelf of the Black Sea are studied by using a
σ-coordinate model. The problem is solved in the
hydrostatic approximation with regard for nonlinearity and turbulent viscosity. To improve the
space resolution of the model, we realize the procedure of embedded grids. It is shown that the
action of a cyclone results in the formation of domains of pronounced surges whose shapes and
location reflect the changes in the wind situation. The vertical structure of wave currents first
depends only on the location of the atmospheric disturbance over the water area but, in the
course time, begins to reflect specific features of the bottom topography.
The northwest shelf (NWS) of the Black Sea is a dynamically active and extensively exploited zone of the
Azov–Black-Sea basin. This explains the necessity of profound investigations of the specific features of the dy-
namics of waters of this region and its dependence on various hydrometeorological factors, including cyclonic
atmospheric formations. The analysis of the response of aqueous media to the motion of cyclones is of especial
applied significance explained by its direct connection with the problem of prediction of surge processes and the
evaluation of possible ecological consequences of actual storm situations on the NWS.
In [1, 2], the indicated processes are modeled on the basis of the equations of the theory of shallow water in
total flows. It is well known that models of this sort give only averaged (over the depth) characteristics. Hence,
it is of interest to study the space structure of hydrodynamic fields in the NWS zone for different stages of mo-
tion of a cyclone within the framework of the three-dimensional hydrodynamic problem. In the present work,
we give a description of the mathematical model and present the results of numerical experiments aimed at the
investigation of the specific features of evolution of the sea level and the vertical structure of horizontal veloci-
ties induced by a traveling cyclonic formation. To simplify the analyzed problem, we neglect the discharge of
rivers and stationary currents in the Black-Sea basin.
1. Original Equations and Boundary Conditions
We introduce a Cartesian coordinate system and direct its
z-axes eastward, northward, and verti-
cally upward, respectively. As the original equations, we use the nonlinear equations of motion of a homogene-
ous viscous incompressible liquid  in the hydrostatic approximation:
Marine Hydrophysical Institute, Ukrainian Academy of Sciences, Sevastopol.
Marine Department of the Ukrainian Scientific-Research Hydrometeorological Institute, Sevastopol.
Translated from Morskoi Gidrofizicheskii Zhurnal, No.
42–54, January–February, 2005. Original article submitted September 4,
0928-5105/05/1501–0037 © 2005 Springer Science+Business Media, Inc. 37