Physical Oceanography, Vol.
MATHEMATICAL MODELING OF MARINE SYSTEMS
COMBINED NUMERICAL MODEL OF CURRENTS, WAVES, AND
SEDIMENT TRANSPORT IN LAKE DONUZLAV
V. V. Fomin
and V. A. Ivanov
We present a numerical model of the dynamics of Lake Donuzlav, which enables one to perform
simultaneous numerical analyses of the currents, sea level, waves, and sediment transport. The
model is based on the hydrodynamic block and the spectral wave model. For typical storm situa-
tions, we study the specific features of the integral circulation of waters and the three-dimen-
sional structure of currents, investigate the wind-induced wave fields, and evaluate the flows of
sediments and deformations of the bottom. The presence of intense eddy structures is revealed in
the field of currents caused by the bottom topography. A significant intensification of waves in
the south part of the lake is established in the case of penetration of storm waves through the
strait. It is shown that the account of waves leads to qualitative changes in the structure of cir-
culation in the lake and to the formation of well-pronounced areas of wave-induced elevations
and lowerings of the sea level.
Lake Donuzlav is a water area characterized by extensive economic utilization. The analysis of the eco-
logical consequences of this utilization requires special complex studies of currents, waves, and sediment trans-
port in this region. At present, we know only one work devoted to the numerical analysis of circulation in the
lake . The dynamic processes running in the lake are, to a large extent, determined by the wind-induced cir-
culation of waters and oscillating currents generated by the surface waves. The separate simulation of these pro-
cesses is of limited scientific significance and does not meet the requirements of contemporary complex hydro-
meteorological accompaniment of the economic activity in the region. As one of possible ways of improvement
of the adequacy of simulation of the dynamics of waters in the lake, we can mention the analysis of interaction
between currents and waves. Since the wind-induced currents and surfaces wave have different space and time
scales, the direct numerical simulation of these processes by using the same system of hydrodynamic equations
on the current level of development of computing technique is practically impossible. As an alternative ap-
proach, we can offer the combined application of the models of circulation of waters and spectral wave models
with the same space-and-time resolution, together with the semiempirical theories of boundary layers. In recent
years, models of this sort (the so-called coupling models) are more and more frequently used in the problems of
multicomponent regional simulation [2–4].
In the present work, we propose an original version of the combined model developed for the investigation
of dynamic processes running in the estuaries and coastal zones of the Azov–Black-Sea Basin. Our model is
based on the three-dimensional numerical model of currents [5, 6] and a modified version of the SWAN (Simul-
ating Waves Nearshore) spectral wave model .
Marine Department of the Ukrainian Scientific-Research Hydrometeorological Institute, Sevastopol.
Marine Hydrophysical Institute, Ukrainian Academy of Sciences, Sevastopol.
Translated from Morskoi Gidrofizicheskii Zhurnal, No.
43–65, March–April, 2006. Original article submitted December 21,
2004; revision submitted February 1, 2005.
0928-5105/05/1506–0107 © 2006 Springer Science+Business Media, Inc. 107