Physical Oceanography, Vol. 18, No. 6, 2008
MATHEMATICAL MODELING OF MARINE SYSTEMS
SIMULATION OF WIND-INDUCED OSCILLATIONS OF THE AZOV-SEA LEVEL
V. A. Ivanov, V. A. Naumova, V. V. Fomin, L. V. Cherkesov,
and T. Ya. Shul’ga
The prognostic fields of the surface winds and atmospheric pressure obtained according to the
data of the Skiron prognostic system are used to study the surge phenomena in the Azov Sea by
using a three-dimensional nonlinear model.
The accumulated numerical results are compared
with the data of direct measurements of the sea level at the coastal stations.
The degree of sensi-
tivity of the computed levels of surges to the value of the coefficient of surface friction is evalu-
The problem of ecological safety of the coastal zone containing dangerous technogenic objects is extremely
urgent for the Ukraine. The properly realized measures against the surge phenomena make it possible to create
the conditions required for the safe navigation and avoid possible damage to the loaded coastal regions. How-
ever, the available data of in-situ observations do not guarantee the possibility of getting reliable empirical
characteristics of the dynamics of waters under various synoptic conditions. Thus, numerical simulation can be
used as one of possible procedures for the prediction of the oscillations of sea level.
The numerical simulation of the dynamics of waters of the Azov Sea is realized in a series of works [1–4],
where the main characteristics of wind-induced currents and surge processes are studied on the basis of linear
models for typical stationary wind fields. The numerical simulation of circulation under the action of constant
winds based on two-dimensional nonlinear models of shallow water is carried out in [5, 6]. In , a three-di-
mensional nonlinear model  is used to study waves and currents formed in the Azov Sea under the action of
nonstationary winds uniform over the space.
In the present work, the indicated mathematical model is used for the investigation of currents and oscilla-
tions of sea level in the Azov Sea for the fields of surface winds and atmospheric pressure variable both over the
space and in time and obtained by using the Skiron regional prognostic model (http://forecast.uoa.gr) based on
the assimilation of the data of meteorological observations. We also perform the verification of the model by an-
alyzing the data of direct measurements of the sea level at the Genichesk and Mariupol stations.
Statement of the Problem. Boundary and Initial Conditions
We introduce a coordinate system in which the
z-axes are directed eastward, northward, and
vertically upward, respectively. For the numerical analysis, we use the nonlinear equations of motion of a ho-
mogeneous incompressible fluid in the shallow-water approximation [8, 9]:
Marine Hydrophysical Institute, Ukrainian Academy of Sciences, Sevastopol, Ukraine.
Translated from Morskoi Gidrofizicheskii Zhurnal, No.
53–65, November–December, 2008. Original article submitted May 11,
332 0928-5105/08/1806–0332 © 2008 Springer Science+Business Media, Inc.