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1
Content available remote On the nonlinear internal waves propagating in an inhomogeneous shallow sea
Massel S. R.
Oceanologia
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2016
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No. 58 (2)
59--70
EN
A concept of conservation of energy flux for the internal waves propagating in an inhomogeneous shallow water is examined. The emphasis is put on an application of solution of the Korteweg–de Vries (KdV) equation in a prescribed form of the cnoidal and solitary waves. Numerical simulations were applied for the southern Baltic Sea, along a transect from the Bornholm Basin, through the Słupsk Sill and Słupsk Furrow to the Gdańsk Basin. Three-layer density structure typical for the Baltic Sea has been considered. An increase of wave height and decrease of phase speed with shallowing water depth was clearly demonstrated. The internal wave dynamics on both sides of the Słupsk Sill was found to be different due to different vertical density stratification in these areas. The bottom friction has only negligible influence on dynamics of internal waves, while shearing instability may be important only for very high waves. Area of possible instability, expressed in terms of the Richardson number Ri, is very small, and located within the non-uniform density layer, close to the interface with upper uniform layer. Kinematic breaking criteria have been examined and critical internal wave heights have been determined.
2
Content available Interaction of internal and surface waves in a two-layer fluid with free surface
Naradovy V.
Challenges of Modern Technology
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2013
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Vol. 4, no. 3
3--9
EN
The interaction of internal and surface waves in a two-layer fluid with free surface has been considered. The stability of wave packets propagation on the contact surface and free surface of hydrodynamic system „layer with rigid bottom - layer with free surface” was investigated. The amplitudes of the second harmonics of the elevations of the contact surface and the free surface are investigated.
3
Content available remote Computation of energy for diapycnal mixing in the Baltic Sea due to internal wave drag acting on wind-driven barotropic currents
Nohr C., Gustafsson Bo.G.
Oceanologia
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2009
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No. 51 (4)
461-494
EN
The pathways of energy supply for mixing the deep waters of the Baltic Sea is largely unknown. In this paper, a parameterization of the internal wave drag forces on barotropic motion is developed and implemented into a two-dimensional shallow water model of the Baltic Sea. The model is validated against observed sea levels. The dissipation of barotropic motion by internal wave drag that is quantified from the model results show that breaking internal waves generated by wind forced barotropic motions can contribute significantly to diapycnal mixing in the deep water of the Baltic Sea.
4
Content available remote Climate of long internal waves and resuspension on the coastal shelf
Bogucki D.J., Redekopp L.G.
Oceanologia
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2008
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No. 50 (1)
5-21
EN
Observations of the shelf environment rarely associate internal solitary waves (ISWs) with the impact of their passage. An experiment observed during the Coastal Mixing and Optics 1996 (CMO '96), a sequence of long internal waves on a coastal shelf is reported, including both mode-1 and mode-2 waves, together with evidence related to the interaction of propagating ISWs and the benthic boundary layer. The observed ISW dynamics is shown to present a repetitive pattern or "climate cycle". The ISW-associated benthic signature described here occurs frequently (at least once a day) in the CMO '96 coastal area and suggests that ISWs under calm, summer-like conditions may have a decisive influence on the fate of near-bottom pollutants or biological processes in shelf regions.
5
Content available remote A note on solution of the dispersion equation for small-amplitude internal waves
Das D., Mandal B. N.
Archives of Mechanics
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2005
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Vol. 57, nr 6
493--501
EN
This note is concerned with establishing the nature of the roots of a dispersion equation, which arises in the study of small-amplitude internal waves in two immiscible superposed fluids, wherein the upper fluid has a free surface and the lower fluid has a rigid bottom. All roots of this dispersion equation are found by considering graphs of appropriate functions, and the fact that these are the only possible roots, has been established by Rouche's theorem of complex variable theory.
6
Content available remote Some results of research on internal waves in the Stolpe Sill area
Golenko N. N., Beszczyńska-Möller A., Piechura J., Walczowski W.
Oceanologia
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1999
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No. 41 (4)
537-551
EN
Current, temperature and salinity data obtained on the western slope of the Stolpe Sill in October 1998 were analysed to identify the processes responsible for the transport of dense, near-bottom water from the Bornholm Deep into the Stolpe Channel. Westward transport in the deep layer was opposed to the wind direction. The longitudinal current component was considerably smaller than the latitudinal one. Long waves (with periods T > 10 h) and short-period oscillations (T < 2 h) were recorded in the form of wave trains. The rotary-component spectral method revealed a dominant internal wave with a period close to the local inertial period (T = 14.6 h). High-frequency current fluctuations (time scales 2-30 min) were regarded as a quasi-horizontal turbulence caused by interaction between the long waves and the complicated bottom topography.
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