It is well known that, within the linear nonviscous equations of tidal dynamics, the amplitudes of oscillations of the barotropic and baroclinic tidal velocity components unlimitedly increase when approaching the critical latitude. It is also known that the linear equations of tidal dynamics with a constant and specified vertical eddy viscosity indicate the occurrence of significant tidal velocity shears in the near-bottom layer, which are responsible for increasing the baroclinic tidal energy dissipation, the turbulent kinetic energy, and the thickness of the bottom boundary layer. The first circumstance—the growth of the amplitudes of oscillations of the barotropic and baroclinic tidal velocity components—is due to the elimination in the original equations of small terms, which are small everywhere except for the critical latitude zone. The second circumstance—the occurrence of significant tidal velocity shears—is due to the fact that internal tidal waves, which induce the dissipation of the baroclinic tidal energy and the diapycnal diffusion, are either not taken into account or described inadequately. It is suggested that diapycnal diffusion can lead to the degeneration (complete or partial) of tidal velocity shears, with all the ensuing consequences. The aforesaid is confirmed by simulation results obtained using the QUODDY-4 high-resolution three-dimensional finite-element hydrostatic model along the 66.25° E section, which passes in the Kara Sea across the critical latitude. 相似文献
The modeling results of surface and internal M2 tides for summer and winter periods in the Arctic Ocean (AO) are presented. We employed a modified version of the three-dimensional
finite-element hydrothermodynamic model QUODDY-4 differing from the original model by using a rotated (instead of spherical)
coordinate system and by considering the equilibrium-tide effects. It has been shown that the modeling results for the surface
tide differs little from the results obtained earlier by other authors. According to these results, the amplitudes of internal
tidal waves (ITWs) in the AO are significantly lower than in other oceans and the ITWs proper have the character of trapped
waves. Their source of generation is located at the continental slope northwest of the New Siberian Islands. Our results are
consistent with the fields of average (over a tidal cycle) and integral (by depth) densities of baroclinic tidal energy, the
maximum baroclinic tidal velocity, and the coefficient of diapycnic mixing. The local rate of baroclinic tidal energy dissipation
at the AO ridges increases as it approaches the bottom, as was observed on Mid-Atlantic and Hawaii ridges (but merely within
the bottom boundary layer) and is two to three orders of magnitude lower than in other oceans. The ITW degeneration scale
in the AO is several hundreds of kilometers in summer and winter, remaining within the range of its values between 100 and
1000 km in mid- and low-latitude oceans. In both seasons, the integral (over the AO area) rate of baroclinic tidal energy
dissipation is two orders of magnitude lower than the global estimate (2.5 × 1012 W). 相似文献
In order to reproduce the diapycnal mixing induced by internal tidal waves (ITWs) in the Arctic Ocean, we use a modified version
of the three-dimensional finite-element hydrothermodynamic model QUODDY-4. We found that the average (over the tidal cycle)
and integral (by depth) baroclinic tidal energy dissipation rate in individual areas of the Siberian continental shelf and
in the straits between the Canadian Arctic archipelago are much higher than in the open ocean and its values on ridges and
troughs are qualitatively similar to one another. Moreover, in the area of open-ocean ridges, the baroclinic tidal energy
dissipation rate increases as it approaches the bottom, but only in the bottom boundary layer; on the Mid-Atlantic and Hawaii
ridges, such an increase is observed within a few hundreds of meters away from the bottom. The average (in area and depth
of the open ocean) coefficient of diapycnal mixing defined by the baroclinic tidal energy dissipation rate is higher than
the coefficient of molecular kinematic viscosity and only a few times lower than the canonical value of the coefficient of
vertical turbulent viscosity, which is used in models of global oceanic circulation. Coupled with the reasoning on the localization
of baroclinic tidal energy dissipation, this fact leads to the conclusion that disregarding the contribution that ITW-induced
diapycnal mixing makes to the ocean-climate formation is hardly justified. 相似文献
The surface M2 tide in the Canadian Arctic Archipelago (CAA) is reproduced on the basis of the QUODDY-4 three-dimensional finite-element
hydrodynamic model. Particular emphasis has been placed on comparing model estimates for the amplitudes and phases of tidal
elevations and the parameters of ellipses (major semiaxis and eccentricity) of the barotropic tidal current velocity with
observational data. We present their spatial distributions and the distributions of averaged (over a tidal cycle) values of
the density, horizontal transfer, and dissipation rate of barotropic tidal energy. It is found that the CAA is a much less
effective dissipator of barotropic tidal energy than the World Ocean. 相似文献
Izvestiya, Atmospheric and Oceanic Physics - Using a high-resolution version of the QUODDY-4 three-dimensional finite-element hydrostatic model, we have carried out two series of numerical... 相似文献
The results of a simulation of the combined tidal ice drift corresponding to a linear superposition of the M2, S2, K1, and O1 harmonics of the tidal generating force are discussed. Also, ice-induced maximal (during the tropical month, i.e., over 27.322 mean solar days) values of the dynamic and energy characteristics of combined motions are estimated in the marginal seas of the Siberian continental shelf. Special attention was paid to the revealing of zones of compression-rarefaction and zones of ice floe ridging. 相似文献
The tidal ice drift is treated as an element of the three-dimensional tidal dynamics in a sea covered by ice. This dynamics is described by the QUODDY-4 finite-element model, and the tidal ice drift is described by a continuous viscous-elastic approximation. We present the results of modeling not only the tidal ice drift (M2 wave) (its velocity, direction, and tidal variations in the concentration and pressure of ice compression) but also ice-induced changes in tidal dynamics and the residual tidal ice drift. The modeling results indicate that the maximum velocity of tidal ice drift, which is determined by a combination of various factors responsible for ice evolution and primarily by the horizontal gradient of the level and local tidal velocity, can be higher or lower than the velocity of the surface tidal current in the ice-free sea. This depends on the sign of deviations of tidal sea level elevations in the sea covered by ice from their values in the ice-free sea. In addition, it has been found that ice cover has a stronger effect on the energetics of tides than on their dynamics: the area-mean relative deviations constitute 1.5% for the density of the total tidal energy, 61.5% for the dissipation, 0.1% for the amplitudes of tidal sea level elevations, and 0.9% for the amplitudes of maximum barotropic tidal velocity. In this sense, the conclusion that the role of sea ice is insignificant in the formation of tides can be justified only partially. The main results of this paper are as follows: (1) the development of a module for tidal ice drift, (2) the inclusion of this module into the three-dimensional finite-element hydrothermodynamic model QUODDY-4 to extend its capabilities, and (3) the reproduction (on the basis of the modified model) of qualitative features of the practically important tidal ice drift and ice-induced changes in the tidal dynamics of marginal seas on the Siberian continental shelf. 相似文献
A modified version of the 3D finite-element hydrostatic model QUODDY-4 is used to quantify the changes in the dynamics and energetics of the M2 surface tide in the North European Basin, induced by the spatial variability in bottom roughness. This version differs from the original one, as it introduces a module providing evaluation of the drag coefficient in the bottom boundary layer (BBL) and by accounting for the equilibrium tide. The drag coefficient is found from the resistance laws for an oscillatory rotating turbulent BBL over hydrodynamically rough and incompletely rough underlying surfaces, describing how the wave friction factor as well as other resistance characteristics depend on the dimensionless similarity parameters for the BBL. It is shown that the influence of the spatial variability in bottom roughness is responsible for some specific changes in the tidal amplitudes, phases, and the maximum tidal velocities. These changes are within the model noise, while the changes in the averaged (over a tidal cycle) horizontal wave transport and the averaged dissipation of barotropic tidal energy may be of the same orders of magnitude as are the above energetic characteristics as such. Thus, contrary to present views, ignoring the spatial variability in bottom roughness at least in the North European Basin is only partially correct: it is valid for the tidal dynamics, but is liable to break down for the tidal energetics.
A modified version of the 3D finite-element hydrostatic model QUODDY-4 is used to quantify the changes in the dynamics and energetics of the M2 surface tide in the North European Basin, induced by the spatial variability in bottom roughness. This version differs from the original one, as it introduces a module providing evaluation of the drag coefficient in the bottom boundary layer (BBL) and by accounting for the equilibrium tide. The drag coefficient is found from the resistance laws for an oscillatory rotating turbulent BBL over hydrodynamically rough and incompletely rough underlying surfaces, describing how the wave friction factor as well as other resistance characteristics depend on the dimensionless similarity parameters for the BBL. It is shown that the influence of the spatial variability in bottom roughness is responsible for some specific changes in the tidal amplitudes, phases, and the maximum tidal velocities. These changes are within the model noise, while the changes in the averaged (over a tidal cycle) horizontal wave transport and the averaged dissipation of barotropic tidal energy may be of the same orders of magnitude as are the above energetic characteristics as such. Thus, contrary to present views, ignoring the spatial variability in bottom roughness at least in the North European Basin is only partially correct: it is valid for the tidal dynamics, but is liable to break down for the tidal energetics. 相似文献