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1.
THE NONLINEAR INTERNAL GRAVITY WAVES IN STRATIFIED FLUID 总被引：1，自引：0，他引：1
In this paper, starting from the equations of the nonlinear internal gravity waves in stratified fluid, using the method of the Taylor expansion nearby the equilibrium point for the nonlinear terms, we find the analytical solutions for nonlinear internal gravity waves. The linear internal gravity waves and solitary waves are its special cases. The nonlinear internal gravity waves satisfy the well-known KdV (Karteweg-de Vries) equation. The nonlinear internal gravity waves are different from linear waves in character. The former dispersive relation contains the amplitude, but the latter does not. The larger the amplitude and the wavelength the faster are waves for the nonlinear internal gravity waves. The smaller the stability of the stratification, the larger is the wavelength (or the width). Some phenomena such as squall line, cumulus, turbulent mass structure in atmosphere, and thermocline in ocean have these natures. 相似文献
2.
为进一步探究海洋内孤立波诱导流场对海洋工程结构物以及潜航器的影响,本文采用重力塌陷方法和粒子图像测速(Particle Image velocimetry,PIV)技术在大型分层流水槽中进行内孤立波造波以及内部流速场测量,定量分析了下凹型内孤立波诱导流场结构及其影响因素。研究表明:在密度分层流体中,PIV技术可实现对大幅面内孤立波诱导流场的精细测量以及波动结构特征的准确描述;水平流速在上下层方向相反且在跃层处最小,其剪切作用在波谷附近最强;垂向流动在波前和波后分别为上升和下沉流,两者流速值在距离波谷1/4~1/2波长位置达到最大;在相同内孤立波振幅条件下,上下层流体密度差越大、厚度比越小,则波致流场越强;随着振幅增大,流场结构与Kd V、e Kd V和MCC理论模型对应波幅适用范围的描述相吻合。 相似文献
3.
E. V. Ezhova D. A. Sergeev A. A. Kandaurov Yu. I. Troitskaya 《Izvestiya Atmospheric and Oceanic Physics》2012,48(4):409-417
The nonsteady dynamics of turbulent axially symmetrical jets in stratified fluid with a great density gradient (pycnocline) is studied in laboratory experiments in the large test reservoir with artificial temperature stratification at the Institute of Applied Physics, Russian Academy of Sciences (IAP RAS) simulating wastewater flows from underwater collectors in coastal cities. An underwater survey of jets in the pycnocline region has been carried out along with synchronous measurements of internal waves. It is shown that a jet quasiperiodically oscillates in a vertical plane, thus effectively generating internal waves when interacting with the pycnocline. It is ascertained that the axially symmetrical mode of jet oscillations is a source of internal waves. 相似文献
4.
将置于大尺度密度分层水槽上下层流体中的两块垂直板反方向平推,以基于MCC理论解的内孤立波诱导上下层流体中的层平均水平速度作为其运动速度,发展了一种振幅可控的双推板内孤立波实验室造波方法,并对内孤立波作用下浮式生产储油系统(FPSO)的载荷特性开展了系列实验。结果表明,无因次内孤立波水平力和力矩幅值均与先导内孤立子无因次振幅之间呈线性关系,其斜率与上下层流体深度比有关;在各种上下层流体深度比下,无因次内孤立波垂向力幅值与先导内孤立子振幅之间近似呈幂函数关系。 相似文献
5.
南海北部内孤立波SAR遥感反演的初步研究 总被引：3，自引：0，他引：3
应用海洋内孤立波2层流体模型的SAR遥感反演技术,对南海北部内孤立波SAR遥感反演进行了初步研究.对于不存在由同一波源生成的2个内孤立波波包的SAR遥感图像资料,可以利用Levitus等的月平均温盐资料确定跃层深度和约化重力加速度,进而确定内波波速并进行内波振幅的反演.这样能够充分利用宝贵的SAR图像资源. 相似文献
6.
内波的实验室模拟是目前物理海洋学和流体力学研究的热点之一。结合实验室内波的模拟实验，近代光学技术、数字图像获取和计算机数据处理技术及三者相结合的技术，介绍内波实验中流场图像化测量领域的研究进展。同时对传统的纹影仪（横式）、立式纹影仪、数字纹影仪和片光源染料粒子示踪技术进行综述。并比较了各自特点及其在内波研究中的优缺点。 相似文献
7.
Kern E. Kenyon 《Journal of Oceanography》1998,54(4):343-346
The central physics of capillary waves (or ripples) can be understood by an elementary method which makes use of the balance
of static and dynamic pressure differences along the surface streamline between crest and trough, in the steady reference
frame, and conservation of mass through vertical cross-sections beneath crest and trough. Basically Einstein’s (1916) model
of surface gravity waves is adapted for the purpose of explaining the existence of capillary waves of infinitesimal amplitude.
One product of the physical understanding, the phase speed of capillary waves, is derived as a function of the wave length
and surface tension and the result agrees exactly with that obtained by the classical mathematical procedure. In the elementary
method it is not necessary to assume irrotational flow, upon which the classical theory is founded, nor are perturbation expansions
of the nonlinear fluid equations employed. The extension to capillary-gravity waves, by including the acceleration of gravity
in the physical model, is straightforward, and the calculated phase speed of these waves is identical to what is found in
the text books as well. 相似文献
8.
We propose a method for the solution of the inverse problem of reconstruction of the vertical stratification of density in the ocean according to the known dispersion curves for internal gravity waves. For the stratification of density modeled by a linear distribution, we determine the accuracy of its reconstruction for values of the frequency of oscillations and wave numbers given with different degrees of accuracy. The posed problem is studied in the Boussinesq approximation for two traditionally used types of boundary conditions on the surface of the fluid. We deduce dispersion equations and focus our attention on their asymptotic analysis. An asymptotic solution of the inverse problem is constructed and its sensitivity to the degree of accuracy of the input data is investigated. 相似文献
9.
L. D. Pukhtyar 《Physical Oceanography》1998,9(1):25-32
The paper addresses the theoretical problem of electromagnetic fields induced by surface and internal waves in a fluid with
continuously stratified electrical conductivity and density. Calculations of the electromagnetic fields induced by the wave
motion in the tropical Atlantic have been performed considering the exponentially changing electrical conductivity in the
vertical. The consideration of the electrical conductivity stratification is shown to be capable of modifying electromagnetic
fields in the individual fluid layers by about 50%, and the role of this stratification is shown to increase with the growth
of the wave period.
Translated by Vladimir A. Puchkin. 相似文献
10.
S. M. Khartiev 《Physical Oceanography》1990,1(6):507-512
A stationary parallel current in a continuously stratified incompressible fluid of finite depth is considered. The instability of internal waves is studied with the assumption that the current has only a vertical velocity shear.Translated by Vladimir A. Puchkin. 相似文献
11.
A study of SAR remote sensing of internal solitary waves in the north of the South China Sea: Ⅰ. Simulation of internal tide transformation 总被引：1，自引：0，他引：1
For settlement of the well-known problem of contemporary radar imaging models, i. e. , the problem of a general underestimation of radar signatures of hydrodynamic features over oceanic internal waves and underwater bottom topography in tidal waters at high radar frequency bands （ X-band and C-band）, the impact of the ocean surface mixed layer turbulence and the significance of strat- ified oceanic model on SAR remote sensing of internal solitary waves are proposed. In the north of the South China Sea by utilizing some observed data of background field the nonlinearity coefficient, the dispersion coefficient, the horizontal variability coefficient and the phase speed in the generalized K-dV equation are determined approximately. Through simulations of internal tide transfor- mation the temporal evolution and spatial distribution of the vertical displacement and horizontal velocity of internal wave field are obtained. The simulation results indicate that the maximum amplitudes of internal solitary waves occur at depth 35 m, but the maximum current speeds take place at depth 20 m in this area of the sea （about 20°30＇N, 114°E） in August. It was noticed that considering the effects of flood current and ebb current respectively is appropriate to investigate influence of the background shear flow on coefficients of the K-dV equation. The obtained results provide the possibility for the simulation of SAR signatures of internal solitary waves under considering the impact of ocean surface mixed layer turbulence in the companion paper. 相似文献
12.
The climatology of the troposphere–stratosphere–mesosphere model of the Institute for Numerical Mathematics (INM) with the uppermost level at 0.003 hPa is presented. This model is vertically extended from the upper level of 10 hPa for the earlier version, and a drag parameterization due to internal gravity waves (GW) is included. The model describes the main features of the mesospheric circulation: decreasing and reversion of westerly and easterly winds, equatorward shift of the westerly wind maximum with height and reversal of the meridional temperature gradient in the upper mesosphere. The model underestimates to some extent the amplitude of wave number 1 for stationary waves in the winter hemisphere. The same holds for the internal low‐frequency variability in the winter stratosphere. The sensitivity of the model climate is studied with respect to the inclusion of orographic gravity wave drag and the variation of the source height of internal gravity waves. 相似文献
13.
Kern E. Kenyon 《Journal of Oceanography》2004,60(6):1045-1052
Freely propagating surface gravity waves are observed to slow down and to stop at a beach when the bottom has a relatively gentle upward slope toward the shore and the frequency range of the waves covers the most energetic wind waves (sea and swell). Essentially no wave reflection can be seen and the measured reflected energy is very small compared to that transmitted shoreward. One consequence of this is that the flux of the wave’s linear momentum decreases in the direction of wave propagation, which is equivalent to a time rate of change of the momentum. It takes a force to cause the time rate of change of the momentum. Therefore, the bottom exerts a force on the waves in order to decrease the momentum flux. By Newton’s third law (action equals reaction) the waves then impart an equal but opposite force to the bottom. In shallow (but finite) water depths the wave force per unit bottom area is calculated, for normal angle of incidence to the beach, to be directly proportional to the square of the wave amplitude and to the bottom slope and inversely proportional to the mean depth; it is independent of the wave frequency. Constants of proportionality are: 1/4, the fluid density and the acceleration of gravity. Swell attenuation near coasts and some characteristics of sand movement in the near-shore region are not inconsistent with the algebraic structure of the wave force formula. Since the force has a depth variation which is significantly faster than that of the dimensions of the particle orbits in the vertical direction, the bottom induces a torque on the fluid particles that decreases the angular momentum flux of the waves. By an extension of Newton’s third law, the waves also exert an equal but opposite torque on the bottom. And because the bottom force on the waves exists over a horizontal distance, it does work on the waves and decreases their energy flux. Thus, theoretically, the fluxes of energy, angular and linear momentum are not conserved for shoaling surface gravity waves. Mass flux, associated with the Stokes drift, is assumed to be conserved, and the wave frequency is constant for a steady medium. 相似文献
14.
Active turbulence in lakes is confined to the surface mixed layer, to boundary layers on the lake sides and bottom, and to turbulent patches in the interior. The density stratification present in most lakes fundamentally alters the pathways connecting external mechanical energy inputs, for example by wind, with its ultimate fate as dissipation to heat; the density stratification supports internal waves and intrusions that distribute the input energy throughout the lake. Intrusions may be viewed as internal waves with zero horizontal wavenumber and are formed each time localised mixing occurs in a stratified fluid. Intrusions are also formed in the epilimnion by differential heating or cooling and by differential deepening. The fraction of lake volume below the diurnal mixed layer that is subject to active turbulence is very small, probably of the order of 1% or less in small to medium‐sized lakes. By contrast, in the surface mixed layer, turbulence is less intermittent and maintains phytoplankton in suspension and controls their exposure to the underwater solar flux. Nutrient transport to individual cells depends not only on the cell Reynolds number but also on the Peclet number, which, if large, implies enhanced mass transfer above purely diffusive values. 相似文献
15.
利用修正的非线性水平二维Lynett-Liu内长波数值模式,模拟了小振幅孤立子内波进出水道口的传播过程,及其穿过狭窄水道的衍射过程。通过分析孤立子内波垂向波形和水平二维纹理图像随水道口的形状及开阔水域宽度的变化．研究了侧边界对孤立子内波传播所产生的影响,并与卫星遥感图片进行了对比。 相似文献
16.
Based on the shear effect of internal wave currents in stratified fluid, the necessary condition for the possible existence of an internal wave and the sufficient condition under which there will be no internal wave are deduced starting from the continuity equation of incompressible fluid. The above two conditions are verified by the measured results from vertical current meter arraies at some observation stations in the Bohai Sea and the South Huanghai Sea. In the treatment of measured results, first of all, the tidal period components are separated from the measured currents by Fourier-analysis method, and then the internal wave currents of tidal period from the tidal period components in the light of some considerations. The analytical results of observed currents are well consistent with theoretical analysis. Furthermore, one can also deduce some features of internal waves therefrom. Consequently, it is concluded that the observation from a vertical current meter array is an important means to verif 相似文献
17.
Masahide Tominaga 《Journal of Oceanography》1970,26(4):215-225
The solutions of vertical oscillation of finite amplitude of a fluid parcel in a heterogeneous, incompressible sea water were obtained, solving rigorously the equation of motion, retaining small terms to the third order of the amplitude non-dimensionized by a vertical reference length. The motion is asymmetric with respect to its equilibrium position and the period of motion is longer than that of infinitesimal Väisälä oscillation. When the vertical velocity of the parcel exceeds certain critical value, oscillation of large amplitude sets in near the outskirts of the thermocline, its period being more than twice larger than that of Väisälä oscillation. The apprehension whether this type of the increased vertical motion might be influenced or denied by the horizontal motion in such a case as in internal waves is also discussed. From some observations which will be appeared in Part II, we found oscillations of large amplitude with the period which is in good agreement with the theoretical result. 相似文献
18.
The temporal variation of tidal-front sharpness (i.e., the maximal gradient of sea surface temperature (SST)) in Iyo-Nada,
Japan has been investigated using SST obtained by a commercial ferryboat. Tidal-front sharpness varies in time with a period
of 15 days. A numerical model approach was also adopted to investigate the temporal variation of frontal sharpness. The numerical
model, which contains a restoring term to express the tidal front reconstructed fortnightly by tides, reproduces the tidal
front accompanied by growing and/or decaying frontal waves. The amplitude of modeled frontal sharpness agrees well with the
observation. The amplitude of sharpness is much smaller than the observed value, unless frontal waves develop along the modeled
front. This therefore implies that tidal fronts are destroyed mainly due to growing frontal waves, and are restored fortnightly
at spring tides. We quantitatively evaluated the subsurface intrusion of seawater into the stratified region from the mixed
region by conducting passive-tracer experiments. We find that the cross-frontal transport with frontal waves is 4.9 times
larger than that without frontal waves. In addition, the cross-frontal transport reaches a long distance (about 25 km) because
of heton (mushroom)-type eddies developing along the front with frontal waves. 相似文献
19.
Yu. V. Artamonov A. E. Bukatov N. M. Solovei E. A. Skripaleva 《Physical Oceanography》2005,15(4):203-210
By using the linear theory of internal waves in a continuously stratified ideal incompressible liquid 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 dependence of the characteristics of waves on the hydrological structure of waters
is analyzed.
__________
Translated from Morskoi Gidrofizicheskii Zhurnal, No. 4, pp. 3–10, July–August, 2005. 相似文献
20.
Recent numerical studies (Hibiya et al., 1996, 1998, 2002) showed that the energy cascade across the internal wave spectrum down to small dissipation scales was
under strong control of parametric subharmonic instabilities (PSI) which transfer energy from low vertical mode double-inertial
frequency internal waves to high vertical mode near-inertial internal waves. To see whether or not the numerically-predicted
energy cascade process is actually dominant in the real deep ocean, we examine the temporal variability of vertical profiles
of horizontal velocity observed by deploying a number of expendable current profilers (XCPs) at one location near the Izu-Ogasawara
Ridge. By calculating EOFs, we find the observed velocity profiles are dominated by low mode semidiurnal (∼double-inertial
frequency) internal tides and high mode near-inertial internal waves. Furthermore, we find that the WKB-stretched vertical
scales of the near-inertial current shear are about 250 sm and 100 sm. The observed features are reasonably explained if the
energy cascade down to small dissipation scales is dominated by PSI. 相似文献