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E.S. Benilov 《Dynamics of Atmospheres and Oceans》2005,39(3-4):211-226
This paper examines the stability of vortices in a two-layer ocean on the f-plane. The mean depth of the upper layer is assumed to be much smaller than the depth of the lower layer. Using the primitive equations, we derive an asymptotic criterion for baroclinic instability of compensated (i.e. confined to the upper layer) vortices. Surprisingly, it coincides exactly with a similar criterion derived from the quasigeostrophic equations [Benilov, E.S., 2003. Instability of quasigeostrophic vortices in a two-layer ocean with thin upper layer. J. Fluid Mech. 475, 303–331]. Thus, to leading order in , ageostrophy does not affect the stability properties of thin compensated vortices. As a result, whether a vortex is stable or not, depends on its shape, not amplitude (although the growth rate of an unstable vortex does depend on its amplitude). 相似文献
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We study an inviscid mixing layer in the beta-plane model of a rotating fluid. Using a weakly nonlinear expansion, we find two-dimensional finite-amplitude waves of permanent form; these solutions are similar to those found earlier for a non-rotating mixing layer, but lose their symmetry because of the rotation. These vortices may propagate with constant phase velocity, the propagation speed being chosen to make the expansion as regular as possible. Alternative solutions are produced using a nonlinear critical layer analysis to remedy potential singularities which appear in the weakly nonlinear expansion. These alternative solutions also lose their symmetry because of the rotation and may also propagate with constant phase velocity. 相似文献
4.
《Dynamics of Atmospheres and Oceans》2001,33(2):95-134
The purpose of this paper is to analyze diapycnal mixing induced by the breaking of an internal gravity wave — the primary wave — either standing or propagating. To achieve this aim we apply two different methods. The first method consists of a direct estimate of vertical eddy diffusion from particle dispersion while the second method relies upon potential energy budgets [Winters, K.B., Lombard, P.N., Riley, J.J., D’Asaro, E.A., 1995. J. Fluid Mech. 289, 115–128; Winters, K.B., D’Asaro, E.A., 1996. J. Fluid Mech. 317, 179–193]. The primary wave we consider is of small amplitude and is statically stable, a case for which the breaking process involves two-dimensional instabilities. The dynamics of the waves have been previously analyzed by means of two-dimensional direct numerical simulations [Bouruet-Aubertot, P., Sommeria, J., Staquet, C., 1995. J. Fluid Mech. 285, 265–301; Bouruet-Aubertot, P., Sommeria, J., Staquet, C., 1996. Dyn. Atmos. Oceans 29, 41–63; Koudella, C., Staquet, C., 1998. In: Davis, P. (Ed.), Proceedings of the IMA Conference on Mixing and Dispersion on Stably-stratified Flows, Dundee, September 1996. IMA Publication]. High resolution three-dimensional calculations of the same wave are also reported here [Koudella, C., 1999].A local estimate of mixing is first inferred from the time evolution of sets of particles released in the flow during the breaking regime. We show that, after an early evolution dominated by shear effects, a diffusion law is reached and the dispersion coefficient is fairly independent of the initial seeding location of the particles in the flow.The eddy diffusion coefficient, K, is then estimated from the diapycnal diffusive flux. A good agreement with the value inferred from particle dispersion is obtained. This finding is of particular interest regarding the interpretation of in situ estimates of K inferred either from tracer dispersion or from microstructure measurements. Computation of the Cox number, equal to the ratio of eddy diffusivity to molecular diffusivity, shows that the Cox number varies within the interval [9, 262], which corresponds to the range of vertical eddy diffusivity measured in the interior of the ocean. The Cox number is found to depend on the turbulent Froude number squared.We show eventually that mixing results in a weak distortion of the initial density profile and we relate this result to observations made at small scale in the ocean.Comparisons between the analysis of the two-dimensional and high resolution (2563) three-dimensional direct numerical simulations of the primary wave were also conducted. We show that the energetics and the amount of mixing are very close when the primary wave is of small amplitude. This results from the fact that, for a statically stable wave, the dynamics of the initially two-dimensional primary wave remains mostly two-dimensional even after the onset of wavebreaking. 相似文献
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The impact of a downslope water-transport parametrization on the circulation and water mass characteristics of a global depth-level ocean general circulation model is investigated. The spreading of dense water from the formation regions into the deep ocean is known to be poorly represented in depth-level models with no bottom boundary layer resolved or attached. The new scheme is simple and intends to parametrize the effects of various oceanographic processes (rather than the processes themselves) that help dense water to descend topographic slopes by which the formation regions are separated from the world ocean. The new scheme significantly improves the large scale properties of the North Atlantic Deep Water. Changes in the North Atlantic circulation, however, are rather small. In the Southern Ocean, the exchange between the dense water formation regions on the continental shelves and the deep ocean is strengthened at the expense of deep water mass formation by open ocean convection. In all three ocean basins, the density of the deep and bottom water is higher with the new parametrization, which brings the simulations closer to observations in the Atlantic and Indian Oceans. In the Pacific Ocean, however, where the density has already been well reproduced without the downslope transport, it becomes slightly too high. The results are in agreement with those from other model studies. 相似文献
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The structure of the upper ocean and surface atmospheric conditions are described during a ship cruise across the central Indian Ocean from December 1995 to January 1996. In situ data on currents, temperature, salinity and surface heat fluxes are described and compared with expected climatological values. Thermocline uplift in the 6-7°S latitude band is linked to the cyclonic shear of near-surface currents. A comparison of quiescent and windy periods demonstrates that evaporative fluxes become amplified near cyclonic vortices fed by southerly meridional winds. The ocean density structure is influenced by salinity gradients, driven by the precipitation-evaporation balance. Near the inter-tropical convergence zone (ITCZ), freshwater fluxes create a stable surface layer and helps to maintain the eastward equatorial counter-current. An analysis of the atmospheric boundary layer from NCEP re-analysis data seeks to place the in situ results into the context of weather conditions at the time of the cruise. Further studies of this kind will improve our understanding of relationships between the Indian Ocean monsoon and surrounding climates. 相似文献
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A note on circulation in differentially heated rotating stratified fluid and other elliptic problems
《Dynamics of Atmospheres and Oceans》2006,41(4):283-294
This note relates to the paper Circulation and boundary layers in differentially heated rotating stratified fluid by Whitehead and Pedlosky [Whitehead, J.A., Pedlosky, J., 2000. Circulation and boundary layers in differentially heated rotating stratified fluid. Dyn. Atmos. Ocean. 31, 1–21]. Here, we describe an alternative method of solution for the theoretical model developed therein, and provide a comparison with the original method used in the paper. 相似文献
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We investigate numerically and theoretically the nonlinear evolution of a parallel shear flow at moderate Reynolds number which has embedded within it a mixed layer of intermediate fluid. The two relatively thin strongly stratified density interfaces are centered on the edges of the shear layer. We are particularly interested in the development of primary and secondary instabilities. We present the results of a stability analysis which predicts that such flows may be unstable to stationary vortical disturbances which are a generalization of an inviscid instability first considered by G.I. Taylor. We investigate the behavior of these “Taylor billows” at finite amplitude through two-dimensional numerical simulations. We observe that the braid regions connecting adjacent primary Taylor billows are susceptible to secondary, inherently two-dimensional instabilities. We verify that these secondary instabilities, which take the form of small elliptical vortices, arise due to a local intensification of the spanwise vorticity in the braid region. 相似文献
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A note on circulation in differentially heated rotating stratified fluid and other elliptic problems
This note relates to the paper Circulation and boundary layers in differentially heated rotating stratified fluid by Whitehead and Pedlosky [Whitehead, J.A., Pedlosky, J., 2000. Circulation and boundary layers in differentially heated rotating stratified fluid. Dyn. Atmos. Ocean. 31, 1–21]. Here, we describe an alternative method of solution for the theoretical model developed therein, and provide a comparison with the original method used in the paper. 相似文献
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Abstract The action of tides on density‐driven circulation, internal gravity waves, and mixing was investigated in the St. Lawrence Estuary between Rimouski and Québec City. Time‐varying fields of water level, currents and density were computed under typical summer conditions using a three‐dimensional hydrostatic coastal ocean model that incorporates a second order turbulence closure submodel. These results are compared with current meter records and other observations. The model and the observations reveal buoyancy effects produced by tidal forcing. The semi‐diurnal tide raises the isopycnals over the sills at the head of the Laurentian Trough and English Bank, producing internal tides radiating seaward. Relatively dense intermediate waters rise from below 75‐m depth to the near surface over the sills, setting up gravity currents on the inner slopes. Internal hydraulic controls develop over the outer sills; during flood, surface flow separation occurs at the entrances of the Saguenay Fjord and the upper estuary west of Ilet Rouge Bank. Early during ebb flow (restratification), the surface layer deepens to encompass the tops of the sills. As the ebb current intensifies, the model predicts the formation of seaward internal jumps over the outer sills, which were confirmed from acoustic reflection observations. As the internal Froude number increases further, flow separation migrates up to sill height. As a result of these transitions, internal bores emanate from the head region one to two hours before low water. We find that the mixing of oceanic and surface waters near the sills is driven by the vertical shear produced during ebb in the channel south of Ilet Rouge, the shear produced in the bottom gravity flood currents, and, to a lesser extent, the processes over the sills. 相似文献
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The long-time decay of rotating, homogeneous flows over variable topography is analyzed by means of laboratory experiments and numerical simulations. The influence of the topography on the flow evolution is associated with stretching and squeezing effects on fluid columns as they experience changes in depth, and with viscous effects produced by the boundary condition at the solid bottom of the tank. In particular, experiments with a sine-shaped topography in one of the horizontal directions are analyzed by using two different basic flows. First, the evolution of dipolar vortices drifting across the topography while slowly decaying, is examined. The second set of experiments considers the evolution and decay of an initially circular vortex transforming into a tripolar structure. The experiments are well represented by numerical simulations based on a quasi-two-dimensional formulation with variable topography. 相似文献
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S.P. Meacham 《Dynamics of Atmospheres and Oceans》1992,16(3-4)
As a very simple model of some of the lens-like vortices of Mediterranean origin that drift in the eastern North Atlantic, we consider an ellipsoidal volume of uniform potential vorticity embedded in an otherwise quiescent, uniformly stratified fluid of infinite extent. We show that, under the quasigeostrophic approximation, such a vortex is a steadily rotating equilibrium solution and obtains its rotation rate as a function of the lengths of the principal axes. We also determine the dispersion relations for normal modes propagating on the ellipsoid. We find that unstable eigenmodes exist over a considerable range of the geometrical parameters that characterise the ellipsoid. 相似文献
13.
It is shown how symmetric dipolar vortices can be formed by the action of an impulsive jet in a homogeneous single layer of fluid in a rotating tank. These dipoles are allowed to interact with a constant topographic slope, which can model a β-plane or a continental shelf. A dipole's trajectory bends toward the right when climbing a slope and to the left when descending, as predicted by numerical simulations and analytical arguments. The maximum penetration of the dipoles over a slope, the adjustment to the slope, and formation of trailing lobes are compared with both numerical simulations and a two-point vortex model. The results suggest that Rossby wave radiation plays an important role in the interaction process. 相似文献
14.
Mixing in a two-layer stably stratified fluid by a turbulent jet was studied by a laboratory experiment. A non-swirling jet was discharged vertically downwards in a confined fluid system consisting initially of a top layer of fresh water and a bottom layer of salt water. In total, 16 experimental cases were considered, where the diameter and exit velocity of the jet were varied together with the density difference between the top and bottom layer. Vertical density profiles were determined from conductivity measurements. A three-layer density structure developed in all cases with an intermediate layer that grew in size with time elapsed as fresh and salt water were mixed. The mixing efficiency, defined as the percentage of the supplied kinetic jet energy that is used for increasing the potential energy of the fluid system, was related to a densimetric Froude number based on the intermediate layer depth. Overall, the calculated jet mixing efficiency displayed higher values than comparable efficiencies for destratification with air-bubble plumes. 相似文献
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大涡模式垂直分辨率在夹卷及示踪物垂直传输模拟结果分析中的作用 总被引：1，自引：0，他引：1
基于敦煌野外观测资料和大涡模式,研究了垂直方向不同尺度湍涡对夹卷及示踪物垂直传输的影响,明确了模式垂直分辨率在模拟结果分析中的作用。结果表明:垂直方向上小尺度湍涡对夹卷作用贡献更大,小尺度湍涡较多时夹卷层相对更暖,而夹卷层厚度、夹卷强度和风速变化受垂直方向湍涡尺度影响较小。当垂直分辨率为50 m时,越往夹卷层上部,上升气流和下沉气流分布较多且强度较大;分辨率为10、20和30 m时,夹卷层各高度垂直速度、位温和示踪物浓度分布较接近。另外,垂直方向湍涡尺度对示踪物垂直传输高度影响不大,而对示踪物的空间分布有一定作用。当大尺度湍涡较多且强度较强时,越有利于将高浓度的示踪物向上传输。综合考虑到模式采用较高分辨率模拟时产生的噪音及计算时间等问题,认为模式采用30 m的垂直分辨率,既能较好地模拟出夹卷层平均结构特征,又能模拟出夹卷层湍流的精细分布,是较为理想的选择。 相似文献
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S. Alessio L. Briatore E. Ferrero A. Longhetto C. Giraud O. Morra 《Boundary-Layer Meteorology》1992,60(3):235-241
We performed an experimental study using scale models in a hydrodynamic rotating channel, concerning the interactions between fluid flows and obstacles of different shapes. The study was meant to analyze the characteristics of the wakes observed on the lee side of quasi-bidimensional obstacles, in a neutral atmosphere.The obstacles were half-cylinders (with aspect ratio 0.87), placed transversally on the channel bottom and totally submerged in the fluid. We call them quasi-bidimensional since their width was a little smaller than the channel width, thus allowing the flow to partially go round their edges.The simulations were performed in the rotating hydraulic channel of ICG-CNR in Turin, and included various conditions of rotation period and flow speed. An interesting behaviour of the wakes was found on the lee side of subsynoptic-scale obstacles, modelled in conditions of Reynolds-Rossby similitude. More precisely, if a given threshold of flow velocity is exceeded, wake size is constant and is fully determined by the height of the obstacle. 相似文献
17.
The evolution of barotropic vortices interacting with a topographic ridge on a f-plane is studied by means of laboratory experiments in a rotating tank and numerical simulations. The initial condition in all experiments is a cyclonic vortex created at a certain distance from the ridge. The results are presented in two main scenarios: (a) weak interactions, which occur at early stages of the experiments, when the vortex is far from the ridge, and thus weakly experiences the influence of the topography. In these situations, the vortex slowly drifts towards the ridge with a leftward inclination due to the ascending slope of the topography. Such a behaviour is similar to the “northwestern” motion of cyclones over a weak sloping bottom. The circular shape of the monopolar vortex is preserved. (b) Strong interactions, in which the vortex core reaches the ridge and presents a more complicated evolution. The cyclone “climbs” to the top of the topography and crosses to the other side. Once the vortex experiences the opposite slope, it moves backwards trying to return to the original side of the ridge. For strong enough vortices, this process may be repeated a number of times until the vortex is dissipated by viscous effects. During these interactions the shape of the vortex is strongly deformed and several filaments are produced. In some cases the vortex is cleaved in two parts when crossing the ridge, one at each side of it and moving in opposite directions.Weak and strong interactions are numerically simulated by using a quasi-two-dimensional model. The results confirm that the vortex behaviour is governed by stretching and squeezing effects associated with changes in depth over the ridge and, at latter stages, by Ekman damping due to the solid bottom. The main results observed during strong interactions on a f-plane are also found on preliminar topographic β-plane experiments. 相似文献
18.
《Dynamics of Atmospheres and Oceans》1998,28(1):1-7
Mass and momentum conservation across an internal bore, together with an assumption that energy is dissipated in both fluid layers, yields a range of possible bore speeds. The upper speed limit is that given by Wood and Simpson [Wood, I.R., Simpson, J.E., 1984. Jumps in layered miscible fluids. J. Fluid Mech., 140: 215–231.] who assume no energy dissipation in the contracting layer, while the lower limit is that of Klemp et al. [Klemp, J.B., Rotunno, R., Skamarock, W.C., 1997. On the propagation of internal bores. J. Fluid Mech., 331: 81–106] who assume no energy dissipation in the expanding layer. The two bore speeds agree to within a few percent, except when the expanding layer is shallow upstream and the internal bore propagates as a gravity current. 相似文献
19.
利用WRF中尺度数值模式,NCEP/NCAR分析资料,多普勒雷达观测资料等,对2016年7月25日一次东北冷涡下的飑线过程进行数值模拟,研究了飑线形成和维持与水平涡度的关系及飑线过程中中尺度对流涡旋(MCV)的形成机制,分析发现,高低层水平涡度逆时针旋转对本次飑线的形成和维持有很好的指示意义。(1)飑线发生前,高层渤海湾西侧出现水平涡度的逆时针旋转中心,并有较强的辐散配合,低层水平涡度为逆时针弯曲,为飑线产生提供了有利的上升运动条件。随后高层多个对流单体的水平涡度气旋式涡旋合并形成较大范围的气旋式涡旋结构,触发低层的上升运动,同时低层对流区前部形成一致的气旋式弯曲使得对流单体组织成带状结构,形成飑线。(2)飑线成熟时期高层水平涡度表现为统一大范围气旋式涡旋结构,低层则呈现典型的S型弯曲结构,水平涡度x方向的分量沿对流带从南至北表现为正负正,y方向的分量始终为正,并由对流带的中心向两侧减小,显示出水平涡度矢量旋转的方向对飑线影响的重要性。(3)由垂直涡度方程的分析得出,在飑线发展中期,MCV形成前,雷达反射率回波在500 hPa左右表现出明显的旋转,此时主要与500 hPa以上强的正涡度水平平流项及中层倾侧项和水平散度项有关,之后,在这几项的作用下使得中层风场产生气旋式旋转,形成MCV。 相似文献
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近10年武汉市大雾变化特征及2006年一次大雾个例分析 总被引：1，自引：0，他引：1
为了了解近一个时期武汉市大雾的时空变化特征、大气环流背景及有关物理要素场的分布情况,根据1995～2005年武汉市大雾观测记录,统计分析了这一时期武汉市大雾的变化特点,并对2006年3月10日出现在武汉市的一次大雾天气过程进行了分析。结果表明:近11年来,武汉市大雾日数继续下降,冬季大雾出现频率最高,春、秋季大雾频率次之,大雾持续时间明显延长;高空弱的偏西气流,中低层弱的暖湿气流,近地面有逆温层,地面为均压场等条件,是大雾形成的有利环流形势。 相似文献