Physical Oceanography, Vol.
INFLUENCE OF STRAITS AND BOTTOM TOPOGRAPHY ON THE STRUCTURE OF
BAROTROPIC CURRENTS IN A FLOW-THROUGH BASIN
S. G. Demyshev
and O. A. Dymova
The development of currents and eddies in a basin of variable depth with two straits is studied within the
framework of the nonlinear theory of long waves taking into account turbulent viscosity and the Coriolis
parameter. The problem is solved numerically. We perform the comparative analysis of the results of
modeling of currents in a homogeneous liquid. It is shown that these results depend on the location of
the straits and bottom topography. Only jet currents are formed in basins of constant depth with sym-
metric straits. Eddy structures periodically appear in the presence of asymmetric straits.
The investigation of currents formed under the action of momentum flows through the straits (flow-through
basins) is of high theoretical and practical importance. At present, the problems of influence of the location of
straits and bottom topography on the structure and intensity of circulation and the processes of eddy formation
are not investigated. Investigations of this sort are of especial importance for the prediction of currents in the
Sea of Marmara, some northern seas, fiords, etc.
The results of the first experiments aimed at the numerical simulation of currents in flow-through basins can
be found in [1–3]. These works deal with the influence of the geometric characteristics of the basin, parameters
of discharge through the straits , nonlinear terms in the equations of motion , and horizontal viscosity 
on the structure of currents and contain the qualitative and quantitative analyses of the obtained circulation. The
dependences of its characteristics on the widths of straits and the periods of oscillations of currents in the straits
are established. In the present work, we continue these investigations. We perform the comparative analysis of
simulated currents formed in a homogeneous liquid in a basin with two straits for various configurations of the
Statement of the Problem
Consider a rectangular basin of variable depth
a × b
in size with two straits (Fig. 1). Its depth varies ac-
cording to the following law:
h(x, y) = h
is the depth of the straits and
is the maximum depth of the basin.
The equations of motion of the liquid with regard for the horizontal turbulent viscosity and the equation of
continuity take the form :
Marine Hydrophysical Institute, Ukrainian National Academy of Sciences, Sevastopol, Ukraine.
Translated from Morskoi Gidrofizicheskii Zhurnal, No.
17–25, March–April, 2010. Original article submitted July 21, 2008; revi-
sion submitted August 5, 2008.
90 0928–5105/10/2002–0090 © 2010 Springer Science+Business Media, Inc.