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1.
We perform the numerical analysis of the influence of variations of the geometric characteristics of an annular basin of variable depth on the space structure of wave motions generated by the oscillations of atmospheric pressure periodic as functions of time. Within the framework of the linear theory of long waves, we determine (with regard for the action of the Coriolis force) the ranges of periods inside which the free surface of liquid has a fixed number of nodes. The dependence of these ranges on the parameters of the basin is established and the shapes of the free-surface profiles are compared for circular and axisymmetric waves.Translated from Morskoi Gidrofizicheskii Zhurnal, No. 5, pp. 14–23, September–October, 2004.This revised version was published online in May 2005 with corrections to cover date. 相似文献
2.
Within the framework of the linear theory of long waves, we study baroclinic free waves in a bounded basin of variable depth without vertical walls. We consider the case of two-layer stratification. The profile of the bottom of the basin and the form of the interface vary according to the parabolic law. Under these conditions, for the first three modes, we obtain analytic expressions for the frequencies of free oscillations, wave velocities, and the profiles of the free surface and interface. We analyze the dependences of frequencies, wave amplitudes, and wave velocities on the parameters of stratification and geometric characteristics of the basin. 相似文献
3.
Study of the generation of non-stationary non-linear long waves by atmospheric pressure disturbances
In a non-linear statement, this paper considers the generation of long waves by periodic atmospheric pressure disturbances in a confined basin of variable depth filled with homogeneous fluids. The study is conducted using a non-stationary finite-difference model. The contribution of dissipative forces to the development and stabilization of fluid oscillations is analysed. The paper also considers how the growth of the amplitude of atmospheric pressure disturbances may enhance the non-linearity of the wave process. It is shown that as the pressure amplitude becomes larger, the number of significant harmonics with multiple frequencies in the spectrum of sea level elevations increases. For the weakly non-linear case, wave velocities and free surface elevations, with oscillations stabilized, are compared with their counterparts derived through the perturbation technique.Translated by Vladimir A. Puchkin. 相似文献
4.
By the method of mathematical simulation, we study the effect of changes in the width and depth of a ring-shaped basin with parabolic profile of the bottom on the space structure of waves generated by variations of atmospheric pressure periodic as a function of time. Our investigation is carried out under the assumptions of the linear theory of long waves with regard for the action of the Coriolis force. The structures of the profiles of liquid surface are compared for the cases of free and forced waves. We also establish the dependences of the period of atmospheric disturbances on the geometry of the basin for which the number of nodal points of the free-surface profile in the case of forced oscillations coincides with the number of nodal points of the profile of liquid surface in the case of free oscillations. 相似文献
5.
Within the framework of the linear theory taking into account the action of the Coriolis force, we study waves induced in a continuously stratified fluid with one thermocline by periodic variations of pressure on the free surface. The fluid fills a bounded basin of constant depth. We establish the dependences of the wave amplitudes and wave velocities on the period of disturbing pressure. The sequence of transformations of generated waves from the barotropic character of motion to baroclinic depending on changes in the period of disturbing pressure is studied in detail. 相似文献
6.
The present study originates from a construction problem found in the planned deployment of the side caissons of the Venice gates barrier. Each of these caissons is made to float, then sunk into a lateral trench and jointed to the soil at its bottom. As a result, a C-shaped channel forms between the vertical caisson surfaces and the surrounding trench. Incoming storm waves propagating from the sea can then induce forced oscillations in this C-channel. An analytical model based on the method of matched asymptotics is developed in order to obtain the free surface oscillations in the channel, caused by a grazing incident wave. The resonant response of the basin and the amplification factors are then determined. From the free surface elevation, the pressure field and hence the total forces are also found. The analysis moves on to irregular wave motion. The analytical solution enables us to compute the dynamic actions, showing that their magnitude can be significant, due to the excitation of different resonant modes. 相似文献
7.
An analytical solution to the problem of the generation of long waves by periodic surface pressures in a confined basin has
been derived in the framework of linear theory. If the change in the basin depth follows a paraboloidal law, being reduced
to zero at the borders, the surface pressure amplitude is a power function of the space coordinate; dissipation and the Coriolis
force are considered. Resonance frequencies have been determined, and the effect of forces upon the wave amplitude in the
resonance domain has been investigated.
Translated by Vladimir A. Puchkin. 相似文献
8.
Forced weakly non-linear oscillations of a homogeneous non-viscous fluid in a confined basin of variable depth are considered in a long-wave approximation. Fluid oscillations are caused by time-periodic fluctuations of the atmospheric pressure, whose spatial distribution corresponds to the first mode of free linear waves.Translated by V. Puchkin. 相似文献
9.
A short cut numerical method for evaluation of the modes of free oscillations of the basins which have irregular geometry and bathymetry is presented in this paper. In the method, a single wave is inputted to the basin as an initial impulse. The respective agitation in the basin is computed by using the numerical method solving the nonlinear form of long wave equations. The time histories of water surface fluctuations at different locations due to propagation of the waves in relation to the initial impulse are stored and analyzed by the fast Fourier transform technique (FFT) and energy spectrum curves for each location are obtained. The frequencies of each mode of free oscillations are determined from the peaks of the spectrum curves. The method is tested by using regular shaped flat bottom basins with different depths. The computed periods of free oscillations are compared with the theoretical values. The accuracy and performance of the method are discussed. As a case study for the application to the basins of irregular shape and bathymetry, the periods of free oscillations of the sea of Marmara is determined and discussed. 相似文献
10.
We study the time decay of surges of a liquid in a round shallow-water basin of variable depth. The dependence of the logarithmic
decrement of oscillations on the bottom topography and wind velocity is analyzed. The role of convective acceleration and
bottom friction in the formation of both the level of vertical displacement of the surface of the basin and the velocity field
of horizontal wave currents is estimated.
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Translated from Morskoi Gidrofizicheskii Zhurnal, No. 2, pp. 3–11, March–April, 2006. 相似文献
11.
Joseph N. Suhayda 《Marine Georesources & Geotechnology》2013,31(1-4):135-146
Abstract Field measurements of bottom oscillations and wave characteristics have been made in a study of the interaction of fine‐grained sediments and surface waves. A wave staff, pressure sensor, and accelerometer were used in East Bay, Louisiana, an area that has a fine‐grained clay bottom. The accelerometer contained three solid‐state accelerometers mounted at right angles. The instrument was placed about 0.3 m below the mudline. The results of the study indicate that bottom motions under wave action show well‐defined periodic features. The bottom sediments appear to be undergoing an elastic response to bottom pressures, such that the bottom is depressed under a surface wave crest. Under the range of bottom pressures measured, bottom displacement varied linearly with bottom pressure. Measured bottom pressures were up to 35% larger than predicted by linear wave theory. The effect of a movable bottom on wave pressure is considered. The energy lost from the surface wave to the bottom in forcing the bottom response is shown to be significant and larger than the energy lost to bottom friction. 相似文献
12.
Within the framework of the linear theory of long waves, we study the evolution of a wave process caused by the action of
surface pressure periodically varying in time in a bounded basin of variable depth without vertical walls. We assume that
the basin is filled with a homogeneous liquid nonperturbed at the initial time and take into account the action of dissipative
forces. We obtain the analytic solution of the posed problem. It is used to perform the detailed analysis of the influence
of the dissipative forces and the frequency of perturbing pressure on the characteristics of the process of evolution of waves.
Translated by Peter V. Malyshev and Dmitry V. Malyshev 相似文献
13.
A plane problem of generation of barotropic seiches in a bounded rotating basin by traveling atmospheric fronts is studied
within the framework of the linear theory of long waves. The front is characterized by disturbances of the baric field and
the corresponding field of tangential wind stresses. We deduce the modified Ackerblom formulas for the wind stresses according
to the given anomalies of atmospheric pressure in which the uniform transport of disturbances of the baric field is taken
into account. We perform the numerical analyses of the dependences of the amplitudes of oscillations of fluid in the basin
on the parameters of the atmospheric front and the choice of the formulas for the tangential wind stresses. The influence
of the wind stresses leads to significant quantitative and qualitative changes in the oscillations of fluid in the basin as
compared with the case of pure baric action. 相似文献
14.
In the non-linear statement, the paper studies long waves induced in a confined basin of variable depth by a low atmospheric
pressure area, translating at constant speed over the basin. The study is conducted in terms of a non-stationary finite-difference
model. Emphasis is made on the behaviour of the wave process after the departure of the disturbance. The dependence of the
modal composition of fluid oscillations on the basin parameters and baric disturbances is determined.
Translated by Vladimir A. Puchkin. 相似文献
15.
A. I. Zaytsev E. N. Pelinovsky A. A. Kurkin I. S. Kostenko A. Yalciner 《Izvestiya Atmospheric and Oceanic Physics》2016,52(2):217-224
The earthquake that occurred on May 24, 2013, in the basin of the Sea of Okhotsk with a magnitude of 8.3 was the strongest in this region. We have modeled a possible tsunami caused by such an earthquake. The simulations confirm that the wave heights were sufficiently small because the earthquake epicenter depth was 640 km. We analyze the oscillations of the DART buoys in the vicinity of the earthquake source and show that they were not associated with the tsunami waves. Analysis of the available pressure gauge records at different points of the Sea of Okhotsk show that only in one case (Iturup Island) can the observed oscillations of the sea level with a height of approximately 4 cm be classified as tsunami waves. 相似文献
16.
The process of development of nonlinear oscillations of the free surface of a fluid caused by the action of a periodic mass
force in a bounded basin is numerically studied within the framework of the theory of long waves. The action of dissipative
forces is taken into account. The effect of nonlinearity and geometric characteristics of the basin on the parameters of the
generated wave field is analyzed.
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Translated from Morskoi Gidrofizicheskii Zhurnal, No. 5, pp. 3–12, September–October, 2005. 相似文献
17.
It is well known that wave induced bottom oscillations become more and more negligible when the water depth exceeds half the wavelength of the surface gravity wave. However, it was experimentally demonstrated for regular waves that the bottom pressure oscillations at both first and second wave harmonic frequencies could be significant even for incoming waves propagating in deep water condition in the presence of a submerged plate [16]. For a water depth h of about the wavelength of the wave, measurements under the plate (depth immersion of top of plate h/6, length h/2) have shown bottom pressure variations at the wave frequency, up to thirty times larger than the pressure expected in the absence of the plate. In this paper, not only regular but also irregular wave are studied together with wave following current conditions. This behavior is numerically verified by use of a classical linear theory of waves. The wave bottom effect is explained through the role of evanescent modes and horizontally oscillating water column under the plate which still exist whatever the water depth. Such a model, which allows the calculation of the velocity fields, has shown that not only the bottom pressure but also the near bed fluid velocity are enhanced. Two maxima are observed on both sides of the location of the plate, at a distance of the plate increasing with the water depth. The possible impact of such near bed dynamics is then discussed for field conditions thanks to a scaling based on a Froude similarity. It is demonstrated that these structures may have a significant impact at the sea bed even in very deep water conditions, possibly enhanced in the presence of current. 相似文献
18.
We consider a plane problem of generation of surface and internal waves in a bounded rotating basin of variable depth by a
front of atmospheric pressure moving over the basin. The fluid is assumed to be two-layer. The system of nonlinear long-wave
equations is solved numerically by the method of finite differences for the distribution of depths corresponding to a zonal
section of the Black-Sea basin. It is shown that the baric front moving over the basin generates barotropic and baroclinic
oscillations of the fluid. The intensity of disturbances depends on the velocity of motion and the width of the front. There
exists a velocity of motion of the front for which internal waves are generated especially efficiently. When the front leaves
the basin, we observe the formation of a packet of internal waves propagating from one lateral boundary of the basin to the
other boundary with reflections from the boundaries. 相似文献
19.
Effect of ice cover on oscillations of fluid in a closed basin 总被引：1，自引：0，他引：1
I. V. Sturova 《Izvestiya Atmospheric and Oceanic Physics》2007,43(1):112-118
Within the framework of the linear theory of long waves, the problem of the effect of ice cover on seiche oscillations of fluid in a two-dimensional constant-depth basin is solved. The eigenfrequencies and eigenfunctions of seiche oscillations are obtained for different boundary conditions at ice edges: rigid coupling and free edges. The forced oscillations of fluid and ice under the action of a moving disturbance of atmospheric pressure are investigated. The change in the stress of ice bending is considered and it is shown that the coast ice can be broken. 相似文献
20.
Weakly non-linear free oscillations in a basin of variable depth filled with non-viscous fluid are investigated in terms of the long waves theory using the perturbation technique. Solutions to the initial two approximations for the horizontal velocity component and free surface departure are numerically derived. An attempt is made to determine the area of applicability of the linear theory by applying a parabolic bottom profile to the basin.Translated by V. Puchkin. 相似文献