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1.
We consider a plane problem of barotropic seiches generated by a front of atmospheric pressure moving over a bounded basin.
A system of nonlinear equations of long waves is solved by the finite-difference method with regard for the bottom friction
and Earth's rotation. The numerical analyses are performed for two basins with distributions of depths typical of the Black
Sea. It is shown that the passage of a baric front over the basin leads to the generation of lower seiches. The oscillations
of level and the corresponding currents are especially intense in the shallow-water zones of the basins. The seiches become
more intense as the velocity of transfer of the atmospheric front increases and the width of the front decreases. Earth's
rotation leads to the generation of longshore currents and promotes the process of weakening of residual oscillations of the
fluid following the passage of the front. The influence of nonlinearity on seiches is small for the analyzed basins.
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Translated from Morskoi Gidrofizicheskii Zhurnal, No. 2, pp. 3–18, March–April, 2008. 相似文献
2.
A numerical solution is developed to investigate the generation and propagation of small-amplitude water waves in a semi-infinite rectangular wave basin. The three-dimensional wave field is produced by the prescribed “snake-like” motion of an array of segmented wave generators located along the wall at one end of the tank. The solution technique is based on the boundary element approach and uses an appropriate three-dimensional Green function which explicitly satisfies the tank-wall boundary conditions. The Green function and its derivatives which appear in the integral equation formulation can be shown to be slowly convergent when the source and field points are in close proximity. Therefore, when computing the velocity potentials on the wave generators, the source points are chosen outside the fluid domain, thereby ensuring the rapid convergence of these functions and rendering the integral equations non-singular. Numerical results are shown which illustrate the influence of the various wavemaker and basin parameters on the generated wave field. Finally, the complete wave field produced by the diffraction of oblique waves by a vertical circular cylinder in a basin is presented. 相似文献
3.
In this study, we develop a numerical method for a 3D linear hydroelastic analysis of floating structures with liquid tanks subjected to surface regular water waves and compare the numerical results with experimental tests. Considering direct couplings among structural motion, sloshing, and water waves, a mathematical formulation and a numerical method extended from a recent work [1] are developed. The finite element method is employed for the floating structure and internal fluid in tanks, and the boundary element method is used for the external fluid. The resulting formulation completely incorporates all the interaction terms including hydrostatic stiffness and the irregular frequency effect is removed by introducing the extended boundary integral equations. Through various numerical tests, we verify the proposed numerical method. We also performed 3D hydroelastic experimental tests of a floating production unit (FPU) model in an ocean basin. The measured dynamic motions are compared with the numerical results obtained using the proposed method. 相似文献
4.
We study horizontal wave currents generated in a liquid of finite depth by a load of constant intensity moving over the floating ice cover and analyze the dependences of the space structure of the field of wave velocities on the characteristics of the ice cover and the velocity of motion of the load. It is shown that the velocity of wave currents caused by flexural waves can increase with the velocity of motion of the load, whereas the wave currents caused by the gravity waves decay monotonically. The ice compression increases the velocity of horizontal wave currents. 相似文献
5.
Interactions between water waves and non-wall-sided cylinders are analyzed based on velocity potential theory with fully nonlinear boundary conditions on the free surface and the body surface. The finite element method (FEM) is adopted together with a 3D mesh generated through an extension of a 2D Delaunay grid on a horizontal plane along the depth. The linear matrix equation for the velocity potential is constructed by imposing the governing equation and boundary conditions through the Galerkin method and is solved through an iterative method. By imposing the gradient of the potential equal to the velocity, the Galerkin method is used again to obtain the velocity field in the fluid domain. Simulations are made for bottom mounted and truncated cylinders with flare in a numerical tank. Periodic waves and wave groups are generated by a piston type wave maker mounted on one end of the tank. Results are obtained for forces, wave profiles and wave runups. Further simulations are made for a cylinder with flare subjected to forced motion in otherwise still open water. Results are provided for surge and heave motion in different amplitudes, and for a body moving in a circular path in the horizontal plane. Comparisons are made in several cases with the results obtained from the second order solution in the time domain. 相似文献
6.
A new theoretical solution is presented here for the dynamic characteristics of a buoyant jet due to opposing small amplitude waves.The conservation equations of mass,tangential momentum and vertical momentum are solved by the integral method which encompasses the Gaussian profiles of velocity and density.The action of waves is incorporated into the equations of motion as an external force and a new exact solution is obtained to predict the trajectory,velocity distribution and boundary thickness of the buoyant jet over an arbitrary lateral cross section.It is found that the velocity along the centerline is inversely proportional to the ratio of the momentum of the wave to the buoyant jet.The averaged boundary width varies with the fluctuation of the boundary width,the distance from the orifice and the velocity correction function.Owing to the motion d waves,the fluctuation of the boundary width is proportional to the wave steepness. 相似文献
7.
In this work, a combined immersed boundary (IB) and volume of fluid (VOF) methodology is developed to simulate the interactions of free-surface waves and submerged solid bodies. The IB method is used to account for the no-slip boundary condition at solid interfaces and the VOF method, utilizing a piecewise linear interface calculation, is employed to track free surfaces. The combined model is applied in several case studies, including the propagation of small-amplitude progressive waves over a submerged trapezoidal dike, a solitary wave traveling over a submerged rectangular object, and wave generation induced by a moving bed. Numerical results depicting the free-surface evolutions and velocity fields are in good agreement with either experimental data or numerical results obtained by other researchers. In addition, the simplification of the initial free-surface deformation used in most tsunami earthquake source study is justified by the present model application. The methodology presented in the paper serves as a good tool for solving many practical problems involving free surfaces and complex boundaries. 相似文献
8.
9.
Within the framework of the linear model of long waves, we study the transformations of the ocean surface under the conditions
of uniform motion of a zone of disturbances of atmospheric pressure. The analysis is based on the evaluation of a two-dimensional
integral appearing in the exact expression for the shape of the free surface of the ocean. It is shown that Earth’s rotation,
the increase in the horizontal scale of the atmospheric anomaly, and the decrease in the depth of the basin make the displacements
of the sea level smaller than those predicted by the law of inverted barometer. The motion of the baric anomalies leads to
the opposite effect. In the open ocean, the displacements of its surface under a moving front are more pronounced than in
the case of a moving circular anomaly of atmospheric pressure.
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Translated from Morskoi Gidrofizicheskii Zhurnal, No. 2, pp. 3–14, March–April, 2007. 相似文献
10.
Stratified fluid flows caused by torsional or linear harmonic oscillations of a ring along the surface of an infinite vertical cylinder have been calculated by methods of the perturbation theory. The complete solutions of the linearized system of equations with sticking boundary conditions for velocity and impermeable boundary conditions for substance have been obtained taking into account viscosity and diffusion. Disturbances forming a conical beam of three-dimensional internal waves and families of small-scale components are identified. Formulas for calculating waves in media with different Schmidt numbers are described. 相似文献
11.
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
12.
13.
The multiscale method is used to obtain asymptotic expansions up to the quantities of the third order for the elevations of the surface of the basin and the velocity potential of motion of liquid particles in the wave disturbances formed in the process of nonlinear interaction of periodic running waves of the first and second harmonics in a homogeneous ideal incompressible liquid of constant finite depth covered with broken ice. The dependences of the amplitude-phase structure of disturbances on the ice thickness, depth of the basin, and the parameters of interacting harmonics are investigated. We estimate the error of evaluation of the characteristics of the formed vertical displacement of the surface of the basin and nonlinear mass transfer introduced by neglecting the curvature of the wave profile in the expression for the velocity potential in deducing the kinematic and dynamic surface boundary conditions for nonlinear approximations. 相似文献
14.
E. A. Ryzhov Yu. G. Izrailsky K. V. Koshel 《Izvestiya Atmospheric and Oceanic Physics》2014,50(4):420-425
The motion of a point vortex along a rectilinear boundary with a circle cavity, which models the coastline of a bay, and associated fluid particle advection are studied within a model of barotropic inviscid fluid. Using an analytical expression for the complex potential through which the velocity field is determined, we show that fluid particles start moving irregularly when the vortex is passing the cavity due to the nonstationarity of the velocity field generated by the vortex. Some of the fluid particles which were initially inside the vortex atmosphere leave it due to the irregularity and remain within the cavity vicinity. Depending on the initial position of the vortex and a parameter that determines the cavity size, the fraction of these fluid particles can differ significantly from fluid particles initially uniformly distributed within the vortex atmosphere. The escape of fluid particles from the vortex atmosphere is shown to be most efficient in the case of a relatively closed cavity under the condition that the initial vortex atmosphere area should be significantly smaller than the cavity area. 相似文献
15.
An analytical solution for the coupling problem of a two-dimensional tension leg structure interacting with a monochromatic linear wave train in an inviscid and incompressible fluid is presented. The tension legs are considered to be linearly elastic. The flow is further assumed to be irrotational and single-valued velocity potentials can then be defined.The boundary value problem is incorporated into a scattering and a radiation problem. The boundary value problems are then solved separately and combined to resolve all unknowns. The complete solutions of the velocity potentials are represented by the series of eigen-functions, and the surge motion of the structure is described in terms of the incident wave properties.The analytical solution is compared with a computer-coded numerical solution utilizing the boundary element method. The solutions agree very well, and both predict a resonant frequency for a specific structure which is different from the natural frequency of the structure due to the presence of the evanescent waves caused by the structure. 相似文献
16.
The conditions for energy flux, momentum flux and the resulting streaming velocity are analysed for standing waves formed in front of a fully reflecting wall. The exchange of energy between the outer wave motion and the near bed oscillatory boundary layer is considered, determining the horizontal energy flux inside and outside the boundary layer. The momentum balance, the mean shear stress and the resulting time averaged streaming velocities are determined. For a laminar bed boundary layer the analysis of the wave drift gives results similar to the original work of Longuet–Higgins from 1953. The work is extended to turbulent bed boundary layers by application of a numerical model. The similarities and differences between laminar and turbulent flow conditions are discussed, and quantitative results for the magnitude of the mean shear stress and drift velocity are presented. Full two-dimensional simulations of standing waves have also been made by application of a general purpose Navier–Stokes solver. The results agree well with those obtained by the boundary layer analysis. Wave reflection from a plane sloping wall is also investigated by using the same numerical model and by physical laboratory experiments. The phase shift of the reflected wave train is compared with theoretical and empirical models. 相似文献
17.
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
18.
The experimental investigation of the run-up of periodic internal waves in a two-layer fluid on the coastal slope is performed
in an open hydrochannel at the Physical Department of the Lomonosov Moscow State University. The waves are produced by a wave
generator. We study the transformation of waves, the vertical structure of the field of velocities of mass transfer, and the
behavior of the parameters of internal waves propagating over the sloping bottom. It is shown that the run-up and breaking
of internal waves are accompanied by periodic emissions of portions of the heavier fluid from the bottom layer upward along
the slope. The Stokes drift velocity changes its sign as a function of depth. Moreover, both the wave length (the horizontal
distance between the neighboring crests) and the height of waves over the sloping bottom (the elevation of the crest over
the slope along the vertical) decrease as the wave approaches the coast. 相似文献
19.
A moving low atmospheric pressure is a main feature of tropical cyclones, which can induce a system of forced water waves and is an important factor that cause water level rise during a storm. A numerical model based on the nonlinear shallow water equations is applied to study the forced waves caused by an atmospheric pressure disturbance moving with a constant velocity over water surface. The effects of the moving speed, the spatial scale and the central pressure drop of the pressure disturbance are discussed. The results show that the wave pattern caused by a moving low-pressure is highly related with its moving speed. The wave pattern undergoes a great change as the moving speed approaches the wave velocity in shallow water. When the moving speed is less than the wave velocity, the distribution of water surface elevation is nearly the same as that of the pressure disturbance, and the maximum of the water surface elevation is located at the center of pressure. When the moving speed is larger than the wave velocity, a triangle shaped wave pattern is formed with a depression occurs in front of the pressure center, and the maximum of the water surface elevation lags behind the center of pressure. As the moving speed increases, the maximum of the water surface elevation firstly increases and then decreases, which reaches a peak when the moving speed is close to the wave velocity. The maximum of water surface elevation is approximately in proportion to the central pressure drop, and slightly affected by the spatial scale of pressure disturbance. Both the central pressure drop and the spatial scale of the pressure disturbance do not significantly affect the forced wave pattern. However, a clear difference can be noticed on the ratio of the maximum water surface elevation in moving pressure situation to that in static situation, when the moving speed is close to the wave velocity. A pressure disturbance with smaller spatial scale and smaller central pressure drop will give a larger ratio when the moving speed is close to the wave velocity. 相似文献
20.
C.R.B. Lister 《Marine Geology》1976,20(4):297-313
Sediment depositional patterns were observed on acoustic-reflection profiles at 36 and 42°S across the East Pacific Rise, near 100°W longitude. The sediment thickness as a function of distance from the crest shows a remarkable linearity on the east side of the rise, where the bottom topography is unusually subdued. The rate of sedimentation is 3.8 m/m.y at 42°S and 7.2 m/m.y. at 36°S. Disturbance to the even sedimentation appears to be correlated with topographic features more than 300 m high, and may therefore be associated with the interference between the barotropic tides and the topography. The group velocity of internal waves of semi-daily period is 15 cm sec−1 in this area for a vertical wave number of 300 m−1, and the characteristic slopes at 9° to the horizontal. The waves travel faster than the flow velocity of the tides and at an angle less than the slopes associated with the larger topographic features. Therefore a typical tidal velocity of 3 cm sec−1 can be magnified substantially before the particle velocity approaches the group velocity and breaking occurs. Less magnification is possible near smaller topography because the group velocity is proportional to wavelength for internal waves of constant period. The tidal flow is magnified most near the boundary where the internal waves are reflected, and the higher velocities should cause settling sediment particles to remain in suspension locally. Thick boundary layers caused by breaking and mixing can shield the smaller-scale topography from the tidal motion. 相似文献