Physical Oceanography, Vol. 15, No. 4, 2005
THERMOHYDRODYNAMICS OF THE OCEAN
INVESTIGATION OF THE DEPENDENCE OF THE SPACE STRUCTURE AND
PHASE CHARACTERISTICS OF THE FIRST-MODE INTERNAL WAVES
IN THE ATLANTIC OCEAN ON THE HYDROLOGICAL CONDITIONS
Yu. V. Artamonov, A. E. Bukatov, N. M. Solovei, and E. A. Skripaleva
By using the linear theory of internal waves in a continuously stratified ideal incompressible li-
quid of finite depth and hydrological data, we study the dispersion properties and space structure
of the vertical velocity of the first mode of free internal waves in the Atlantic Ocean. The depen-
dence of the characteristics of waves on the hydrological structure of waters is analyzed.
Internal waves induced by stable density stratifications represent the predominant kind of motion in the
bulk of the ocean. They play an important role in the mechanism of dynamics of oceanic processes and in the
formation of horizontal and vertical exchange in the ocean. The theory, methods of investigation, and physical
properties of internal waves can be found in [1–3]. The theoretical analyses of internal waves were carried out
for both model distributions of density over the depth and distributions approximating the actual vertical struc-
tures of density fields in some regions of the World Ocean (see, e.g., [4–8]). In the present work, we analyze the
dependence of the regularities of changes in the phase characteristics and space structure of the vertical velocity
of the first-mode free internal waves on the distribution of the background thermohaline fields in the water area
of the Atlantic Ocean.
Method of Investigations and Hydrological Data
Our investigations are performed on the basis on the linear theory of internal waves in a continuously strati-
fied ideal incompressible liquid of finite depth H by using the hydrological data presented in  for the water
area of the Atlantic Ocean.
It is assumed that the components of the vector of velocity of wave motion and the disturbances of hydro-
dynamic pressure and density of liquid are periodic functions of time and horizontal coordinates. In this case, by
using the Boussinesq approximation and the boundary conditions of hard cover on the surface of the basin (
) and the absence of flow on its bottom (
z = H
), we arrive at the following Sturm–Liouville-type boundary-
value problem for the amplitude function w
) of the vertical component of the velocity
+−()Λ = 0,
Marine Hydrophysical Institute, Ukrainian Academy of Sciences, Sevastopol.
Translated from Morskoi Gidrofizicheskii Zhurnal, No.
3–10, July–August, 2005. Original article submitted December 15, 2003;
revision submitted April 27, 2004.
0928-5105/05/1504–0203 © 2005 Springer Science+Business Media, Inc. 203