Physical Oceanography, Vol.
THERMOHYDRODYNAMICS OF THE OCEAN
A THREE-DIMENSIONAL MODEL OF THE BREEZE-INDUCED CIRCULATION
IN THE KERCH STRAIT
I. V. Tereshchenko
and N. B. Shapiro
We generalize the problem of evaluation of currents caused by the action of breeze winds to the three-
dimensional case. In the “solid-lid” approximation, the problem is reduced to the numerical solution of
a two-dimensional equation for the integral current function (with complex-valued coefficients) with
subsequent evaluation of the components of current velocity according to analytic formulas. The breeze
is specified as acting in a narrow coastal strip in the form of a zonal wind. The three-dimensional struc-
ture and the variations of currents near the west boundary of the Kerch Strait as functions of time are
studied in detail.
The present work generalizes to the three-dimensional case the investigations of currents caused by the ac-
tion of nonstationary wind in the Kerch Strait carried out in . We use a linear model of periodic currents pro-
posed by Fel’zenbaum .
The problem of simulation of the circulation of waters in the Kerch Strait is studied in numerous works
whose detailed overview can be found in . Thus, a two-dimensional linear model is used for the numerical
analysis of currents in the Kerch Strait in . In this case, the authors study the motion caused by the combined
action of the stationary wind and periodic (in time) breeze wind. In what follows, we consider a linear barotro-
pic three-dimensional model of currents in a homogeneous fluid with regard for the Rayleigh friction propor-
tional to the current velocity. The Rayleigh friction is often taken into account in analyzing the dynamics of the
ocean and atmosphere [4–6]. In particular, this enables one to explain the structure of background currents in
the coastal waters near Sevastopol .
Statement of the Problem
We write the equations of the three-dimensional nonstationary model in the form
fv = g
+ fu = g
Marine Hydrophysical Institute, Ukrainian National Academy of Sciences, Sevastopol, Ukraine.
Translated from Morskoi Gidrofizicheskii Zhurnal, No.
3–16, March–April, 2010. Original article submitted July 10, 2008; revi-
sion submitted September 23, 2008.
0928–5105/10/2002–0075 © 2010 Springer Science+Business Media, Inc. 75