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1.
A variational method gives a proof that, for normal modes of Rossby waves in the ocean on a-plane with depth variable in the meridional direction, the time average of the energy flux defined as the product of the pressure and the fluid-particle velocity agrees with the time average of the energy density multiplied by the group velocity. This conclusion holds in considerably general situations and sheds light on the controversial problem of the energy transport by Rossby waves. Moreover, the variational method gives a remarkable relation between the group velocity and the phase velocity. In particular this relation shows that the absolute value of the group velocity never exceeds that of the phase velocity.  相似文献   

2.
Laboratory experiments with a rotating tank confirm the bifurcation character of a barotropic flow driven by an inflow and an outflow described by Sakai (1986). The model, a circular basin with a topographic β-effect, simulates a mid-latitude oceanic feature. At a low Rossby number, stationary Rossby waves are observed which are symmetrical with a line connecting the inlet and the outlet. As the Rossby number increases, a bifurcation occurs and two kinds of vortex flows are observed. In the vortex, potential vorticity is almost uniform. In addition to the two vortex flows, a jet-like inertial flow can also be observed. In general, thre results of these experiments agree well with those of a low-order model and a numerical model.  相似文献   

3.
An expansion theorem is derived for Rossby normal modes in a closed rectangular basin and the set of Rossby normal modes is proved to be complete. This theorem provides a general linear solution to the initial value problem as well as to the response problem. In particular, the Green's function is obtained for the instantaneous localized torque anywhere in the basin. Weakly nonlinear versions are solved also by the combination of the general linear solution with the asymptotic expansion in terms of small amplitude. Further, an application is suggested to the spectral method of numerical simulation based on Rossby normal modes relevant to the more nonlinear evolution equation on a-plane, instead ofsin functions or Chebyshev polynomials, which have been employed conventionally for this purpose.  相似文献   

4.
Semi-geostrophic dynamics of jets are studied using a potential vorticity front in an equivalent barotropic model. Meandering processes of the front are examined in the thin-jet limit on a -plane by a curvilinear coordinate system. For calculated along-front velocity fields, asymmetrical profiles are caused by meandering. This asymmetry of the velocity profile is enhanced as the Rossby number becomes large. Using the along-front velocity fields, the normal velocity of front is expressed so that the Rossby number is explicitly included. This expression can be rewritten in the form of the mKdV equation.  相似文献   

5.
The behaviour of an isolated synoptic eddy on the -plane in the field of a plane Rossby wave is reported. As is shown, the eddy exchanges its energy intensively with Rossby waves having zero frequency in the frame of axes moving with the eddy. If the Rossby wave has an amplitude exceeding some critical value, a transition from average translational eddy motion along the meridian to oscillations in the vicinity of the equilibrium latitude is possible.Translated by Mikhail M. Trufanov. UDK 551.465.535:551.466.  相似文献   

6.
Numerical solutions are examined for isolated, intense vortices as influenced by western bounding bottom topography through the use of a rigid-lid, two-layer primitive -plane numerical model. Systematic studies are made of the sense of rotation (cyclonic/anticyclonic), the consequence of varying the gradient of bottom slope, and the different vertical shear in a two layer ocean. In the basin with a bottom slope, the nearly barotropic anticyclonic vortex forms a modon-like vortex for S with fixedRo 2<O(1) (where is the ratio between the variation of the Coriolis parameter across the eddy to the Coriolis parameter in the center, S the topographic effect and,Ro 2 the Rossby number in the lower layer) and its generation is due to a compound effect of the planetary beta, topographic beta, avvection, and mirror image. The formation of the modon-like vortex and the propagation of the original vortex onto the bottom slope depends on the strength of slope gradient and the baroclinicity of the vortex. The nearly barotropic anticyclonic vortex evolves into the stronger upper ocean one with increasing S: the gradient of the bottom slope becomes steeper. Then the original vortex lives longer because the barotropic component of the energy is converted to the baroclinic one and it moves toward southeast in forming a modon-like vortex in the lower layer. The evolution of a vortex in the model results are compared to observational results of a Kuroshio warm core ring (KWCR) obtained from hydrographic data (June, 1985) and from NOAA satellite infrared images (April, 1985 to July, 1985). It is shown that a KWCR (June, 1985) is influenced by the western continental slope/shelf of the East Japan.  相似文献   

7.
The evolution of an ensemble of intense vortices in the β-plane is numerically simulated. In the process of evolution, vortices interact either directly or by means of the Rossby waves emitted by them. We show that the mean displacements of vortices of the ensemble along the meridian and, as a result, their energy losses are lower than for the isolated vortices evolving in the β-plane. This means that they are more stable than the isolated vortices. In addition, for vortices in the ensemble, the theoretical dependence of the energy of a vortex on its displacement from the initial latitude obtained for the motion of an intense isolated vortex in the β-plane is in good agreement with the experimental data. Translated by Peter V. Malyshev and Dmitry V. Malyshev  相似文献   

8.
Alternating zonal flows in an idealized wind-driven double-gyre ocean circulation have been investigated using a two-layer shallow-water eddy-permitting numerical model. While the alternating zonal flows are found almost everywhere in the time-mean zonal velocity field, their meridional scales differ from region to region. In the subpolar western boundary region, where the energetic eddy activity induces quasi two-dimensional turbulence, the alternating zonal flows are generated by the inverse energy cascade and its arrest by Rossby waves, and the meridional scale of the flows corresponds well to the Rhines scale. In the eastern part of the basin, where barotropic basin modes are dominant, the zonal structure is formed through the nonlinear effect of the basin modes and is wider than the Rhines scale. Both effects are likely to form zonal structure between the two regions. These results show that Rossby basin modes become an important factor in the formation of alternating zonal flows in a closed basin in addition to the arrest of the inverse energy cascade by Rossby waves. The wind-driven general circulation associated with eddy activities plays an essential role in determining which mechanism of the alternating zonal flows is possible in each region.  相似文献   

9.
Difference schemes constructed for the problems using a barotropic approximation (Poincaré waves, Kelvin waves, Rossby waves, quasi-geostrophic normal modes, forced free oscillations) allow one to obtain exact solutions for a set of discrete equations. It is shown that the better approximation is achieved on thef-plane, using the grid different from gridsB andC. Translated by Vladimir A. Puchkin.  相似文献   

10.
The generation and further linear and nonlinear dynamics of planetary magnetized Rossby waves (MRWs) in the rotating dissipative ionosphere are studied in the presence of a zonal wind (shear flow). MRWs are caused by interaction with the spatially nonuniform geomagnetic field and are ionospheric manifestations of ordinary tropospheric Rossby waves. A simplified self-consistent set of model equations describing MRW-shear flow interaction is derived on the basis of complete equations of ionospheric magnetohydrodynamics. Based on an analysis of an exact analytical solution to the derived dynamic equations, an effective linear mechanism of MRW amplification in the interaction with nonuniform zonal wind is ascertained. It is shown that operators of linear problems are non-self-adjoint in the case of shear flows, and the corresponding eigenfunctions are nonorthogonal; therefore, the canonically modal approach is of little use when studying such flows; a so-called nonmodal mathematical analysis is required. It is ascertained that MRWs effectively get shear flow energy during the linear stage of evolution and significantly increase (by several orders of magnitude) their energy and amplitude. The necessary and sufficient condition of shear flow instability in an ionospheric medium is derived. Nonlinear self-localization begins with the development of shear instability and an increase in the amplitude, and the process ends with the self-organization of strongly localized isolated large-scale nonlinear vortex structures. Thus, a new degree of freedom and a way for perturbation evolution to occur appear in medium with shear flow. The nonlinear systems can be a pure monopole vortex, a vortex streets, or vortex chains depending of the shape of the sheared flow velocity profile. The accumulation of such vortices in the ionospheric medium can produce a strongly turbulent state.  相似文献   

11.
By using a two-dimensional barotropic model on a-plane, the effect of the bottom topography on the path of the Tsushima Current is investigated. The rectangular model ocean with continental slopes has two openings: one is located at the southern boundary and the other at the eastern boundary. In a steady state, most of the water supplied into the model ocean through the inflow opening, flows along the continental slope with the coast to the right. Continental shelf waves play an important role in the process of adjustment to a steady state. It is suggested that the nearshore branch of the Tsushima Current might be largely topographically controlled.  相似文献   

12.
The change of flow regimes from "flow over"(non‐blocked flow) to "flow around"(blocked flow) is generally identified by flow stagnation upstream of the mountain and increased deflection of flow around the edges of the mountain. Numerical calculations of simple flow past a smooth mountain ridge presented here reveal another fundamental property of this change of flow regimes. In the presence of the Coriolis force, the drag exerts a cyclonic couple on non‐blocked flows, but an anticyclonic couple on blocked flows. The delaying effect of the Coriolis force on the transition to the blocked flow regime is confirmed and the strength of the couple in blocked flows is also found to increase when the Rossby number U / fL decreases. A change in the flow regime from blocked to non‐blocked flow when the Rossby number decreases gives a new high‐drag regime at high non‐dimensional mountain height ( Nh / U ) and increases substantially the temporal fluctuations of the drag. The sensitivity of the couple to the Rossby number is confirmed in realistic simulations of blocked flow from PYREX. Data from Iceland defines two regimes: at low Rossby number and high Nh / U , the drag on the right hand side is favoured, while at high Rossby numbers and low Nh / U the drag on the left side is larger.  相似文献   

13.
Finite-differential schemes (continous in time) are studied for the shallow water equations on the equatorial -plane on the grids B and C. The B-grid spectrum is shown to be symmetrical about fourgrid interval waves. It results in the wrong sign of the group velocity in the ddomain of wavelengths less than four intervals of the grid. An analytical solution is given for the differential analogues of Kelving and Yanai waves on grid C. A conclusion is drawn on the advantage of grid, C and the necessary filtration of the high-frequency band of the spectrum for grid B, if the grid intervals are 100 km or less.Translated by Mikhail M. Trufanov  相似文献   

14.
Results of experiments are considered for flows generated by different sources-sinks of mass in the rotating annular channel with beta-effect simulation using the inclined bottom. Diagrams of regimes are presented in parameters of the dimensionless angular velocity of the zonal flow averaged over the channel width and the dimensionless angular velocity of transport of vortex perturbations of cyclonic and anticyclonic types. In experiments and the simplest linear theories, most attention is paid to diagram regions with a slow motion of vortices relative to the rotating coordinate system near the parameters for stationary Rossby waves.  相似文献   

15.
基于PETSc FEM开源代码,采用分步有限元算法和区域分解法,并行计算了不同雷诺数下的三维顶板斜向驱动方腔流问题。计算结果表明,当顶板沿其对角线方向运动时,流体与下游侧壁发生斜向碰撞后在下游对角处汇聚并形成射流,该射流在与底面、上游侧壁碰撞后形成较为复杂的涡流结构。雷诺数大小对三维顶板斜向驱动方腔流的涡流场结构形态具有重要影响。并行性能分析表明区域分解法能有效地提高三维粘性方腔流的计算速度。  相似文献   

16.
Barotropic flows in a circular ocean are studied. Flows are driven by an inflow and an outflow through openings at the circumference. A linear, steady state solution is interpreted in terms of dissipating planetary waves. A weakly nonlinear, steady state solution is obtained numerically. It differs remarkably from the linear solution; an intense anticyclonic polar gyre extending over the whole basin is formed. The nonlinear term is essential to the gyre and can not be neglected, although the Rossby number is small.  相似文献   

17.
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18.
Steady response of a linear, two-layer baroclinic ocean to a steady thermal forcing was investigated on a mid-latitude -plane. Surface heat flux and its relaxation processes were parametrized as a form of heating function and Newtonian cooling term of cross interfacial velocityw in the continuity equation. Ageostrophic linear drag terms were employed to represent the western boundary layer for accomplishment of the steady circulation in the closed domain. In the interior, the dynamics belongs to thef-plane regime. The flow in the upper layer is zonal and eastward, which is the same as that expected in the channel without meridional boundary. The eastern boundary region is the so called Sverdrup region, in which the vortex stretching balances the term, thoughw contains a damping term. It directs the zonal flow southward (northward) in the south (north) followed by upwelling (downwelling) and forms the two gyres. Western boundary region is of the Stommel type except the upwelling (downwelling) in the south (north). The meridional circulation is similar to the Hadley Cell except southern and northern boundary layers. However, its strength is much greater than the latters.  相似文献   

19.
本文通过旋转平台实验室实验的方法,探讨了双河口情况下两个羽流将如何发生相互作用。在研究中,提出了一种新颖的技术对河口羽流的各切面流场进行测量,来获得河口羽流多个平面的速度场及涡度场,并基于此模拟了双河口羽流系统的准三维结构。通过对不同入流速度下的双河口羽流流场演变过程和内部结构进行了一系列对比研究,以期揭示上游河流的入流如何影响下游河口涡旋的形成及在羽流相互作用情形下各个羽流的演变。实验结果表明:随着上游入流流量的增加,上游羽流形成的沿岸流对下游河口涡旋沿岸迁移的促进和离岸输运的抑制作用将更加显著。特别是在上游入流流量等于或大于下游入流流量的情况下,下游羽流河口涡旋的体积增长明显较单一河口情况放缓。在上游入流流量较大的情况下,下游原有河口涡旋被推向更下游位置,在远离河口的位置形成另一个河口涡旋。在垂直方向上,我们可以观察到高上游入流流量条件下的下游河口涡旋的深度较小,更有利于形成三层流体的情况。本研究对多河口近海流域的营养盐及污染物的输运情况等社会和生态问题的研究有着重要的意义。  相似文献   

20.
Tidal exchange through a narrow entrance channel was studied experimentally with the use of a simplified hydraulic model. The inflowing water mass, visualized with dye solution, exhibits the shape of a starting plume with a starting vortex pair at its head. Because of their periodical formation by the tide, these are called the tidal plume and tidal vortex pair. The axis of the tidal plume deflects and undulates with a period 2 to 9 times that of the tide. Together with this undulation, the vortex pair becomes asymmetric. A circulating flow is formed in the bay which affects the shape of the inflowing and outflowing water masses. A part of the inflowing water mass flows out during the subsequent ebb, and this outflowing portion can be divided into two parts. One is the water remaining in the entrance channel at high water which flows out during the first half of the subsequent ebb and the other is the water flowing round the bay in the circulating flow during flood that flows out during the latter half of the subsequent ebb. Both contribute to the exchange ratio, but we can estimate an upper limit for the exchange ratio by neglecting the latter outflow. This neglected portion is considered in the concept of the age composition of outflowing water. The age composition of the bay water shows the existence of intermittent effluence superposed on a trend in the age composition that is similar to that of the well-mixed case. From the analysis of a model consisting of a number of mixing tanks connected in series with a recycle flow, it is concluded that this intermittent effluence occurs in the case of weak mixing due to the effect of circulating flow in the bay but is negligible in the case of strong mixing.  相似文献   

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