共查询到20条相似文献，搜索用时 31 毫秒
1.
Luo Dehai 《Acta Meteorologica Sinica》1992,6(3):390-394
Introducing the concept of pseudo-momentum, a generalized Arnold-Dikii functional is established, and then thesufficient condition for stability of nonlinear wave motion in the barotropic nondivergent atmosphere is derived by useof variational principle. It is found that the stability of nonlinear wave motion depends not only on its streamfield distri-bution, but also on its phase speed for the propagating nonlinear wave motion. Moreover, the stability criterion of trav-elling modon is also obtained, and it is shown that the travelling modon is stable if the scale of disturbance superimposedon the travelling modon remains to be less than that of the travelling modon. 相似文献
2.
E. Ferrero A. Longhetto L. Briatore G. Chabert d&#x;Hieres H. Didelle C. Giraud P. Gleizon 《Dynamics of Atmospheres and Oceans》2002,35(1):308
A series of laboratory experiments, aimed at the simulation of some aspects of Alpine lee cyclogenesis has been carried out in the rotating tank of the Coriolis Laboratory of LEGI-IMG in Grenoble. Dynamic and thermodynamic processes, typical of baroclinic development triggered by the orography, were simulated. The background flow simulating the basic state of the atmosphere consisted of a stream of intermediate density fluid introduced at the interface between two fluid layers. The structure of the intermediate current was established by mixing fluid obtained from the upper layer of fresh water with fluid removed from the heavier salty layer below.The dynamical similarity parameters are the Rossby (Ro), Burger (Bu) and Ekman (Ek) numbers, although this last, owing to its small values, need not be matched between model and prototype, since viscous effects are not important for small time scales. The flow in both the prototype and laboratory simulation is characterized by hydrostatics; this requires (Ro2δ2/Bu)1 (where δ=H/L is the aspect ratio of the obstacle) which is clearly satisfied, in the atmosphere and oceans, and for the laboratory experiment.A range of experiments for various Rossby and Burger numbers were conducted which delimited the region of parameter space for which background flows akin to that found to the northwest of the Alps prior to baroclinic cyclogenesis events, were observed.One such experiment was carried out by placing a model of the Alps at the appropriate place in the flow field. The subsequent motion in the laboratory was observed and dye tracer motions were used to obtain the approximate particle trajectories. The density field was also analyzed to provide the geopotential field of the simulated atmosphere. Using standard transformations from the similarity analysis, the laboratory observations were related to the prototype atmosphere. The flow and the geopotential fields gave results compatible with the particular atmospheric event presented. 相似文献
3.
Raymond Hide 《Dynamics of Atmospheres and Oceans》1998,27(1-4)
Previous theoretical and laboratory studies of mechanically driven fluids in general rotation relative to an inertial frame have shown that there is a special class of flows for which the (Eulerian) flow field u(r, t) relative to the rotating frame of reference is unaffected by gyroscopic (Coriolis) forces, and therefore remains the same for all values of the rotation vector Ω. (Here t denotes time and r the position of a general point R in a reference frame attached to the rotating apparatus.) Such flows occur when (a) Ω is independent of time t; (b) u(r, t) is independent of the coordinate z (say) parallel to Ω, (c) the fluid has constant density and is therefore ‘barotropic’ (i.e. no density variations on horizontal surfaces) and (d) the topology of the cross-section of the (cylindrical) container, in planes z = constant, is such that the bounding surfaces can support the concomitant field of (kinematic) pressure P1 satisfying P1 + 2 Ω × U = 0 Condition (d) is equivalent to the requirement that any fluid sources or siks within the system be multipole in character, but not monopole. In the present study the ‘baroclinic’ case is treated, where buoyancy forces due to the action of gravity (and centripetal forces) on horizontal density variations have to be taken into account. These include investigations of flows due entirely to buoyancy forces, such as thermal convection in fluids in rotating cylindrical containers of various shapes and topological characteristics subject to horizontal temperature gradients. The implications for the impressed temperature field of the mathematical requirements that the fields of kinematic pressure P1 and density
(where
denotes the mean density) be everywhere single-valued are guiding such investigations and facilitating the interpretation of their findings. The investigations include laboratory studies, reported elsewhere, of convection in a rotating fluid annulus with a circular cross-section blocked by a radial barrier, where it is found inter alia that advective heat transfer is virtually independent of |Ω| over a wide range of conditions. They also include (as yet unpublished) studies of thermal convection in rotating systems with topologically triply connected cross-sections which can be rendered doubly or simply connected by the insertation of suitable barriers. 相似文献
4.
A laboratory experiment was performed to investigate mixing across a density interface which separates two turbulent fluid layers and coexists with a stabilizing buoyancy flux. It was found that the buoyancy flux (q0) across the interface and through the turbulent layers (of depth D) becomes steady and constant in magnitude in the vertical direction, only when
, where u is the horizontal r.m.s. velocity at the base of the mixed layers. The results suggest that mixing across the density interface is controlled by a dynamically important buoyancy gradient induced in the turbulent layers and that parameters such as the bulk Richardson number,
, where Δb is the interfacial buoyancy jump, are of secondary importance. Measurements are used to infer the mixing mechanism at the interface, the mixing efficiency of stratified fluids and the entrainment law. Some geophysical applications of the results are also discussed. 相似文献
5.
简要介绍中国科学院大气物理研究所七十多年来在理论与计算地球流体力学方面的若干研究及其新的进展.在理论地球流体力学方面,介绍了长波动力学及线性稳定性问题、弱非线性理论及行星波动力学以及用Arnold方法(能量-Casimir方法)研究大气和海洋中各种流体运动的非线性稳定性问题的成果.此外,对扰动演变、扰动和基流相互作用及热带大气动力学中的第二类不稳定条件(CISK)也作了简要的介绍.在计算地球流体力学方面,主要内容包括:用物理观点和数学分析相结合的方法阐述了造成计算紊乱和计算不稳定的机理,论证计算稳定性、算 相似文献
6.
In this paper, the atmosphere is divided into two regions which are governed by different equations. Furthermore, multiple-scale
method is used to obtain the Benjamin-Ono equation satisfied by the nonlinear Rossby wave in weak shear zonal flow. The equation
has algebraic solitary wave solution, and the stationary streamfunction fields in-ithe atmosphere are calculated by using
numerical method, and the results demonstrate that the stationary solution is antisymmetric dipoles with the anticyclone north
of the cyclone, and the structure is similar to the equivalent modon obtained by Mcwilliams (1980). Because the modon obtained
here is an algebraic solitary wave, the modon may be called “algebraic modon”, and the stationary algebraic modon is consistent
with observations of blocking pattern in the atmosphere. 相似文献
7.
D. Etling F. Gelhardt U. Schrader F. Brennecke G. Kühn G. Chabert d'Hieres H. Didelle 《Dynamics of Atmospheres and Oceans》2000,31(1-4)
The behaviour of a density current on a sloping bottom in a rotating system is investigated by laboratory experiments. The main result is that the dense bottom outflow induces cyclonic vortices in the upper fluid layer, which are formed periodically and move to the west parallel to coast. Two regimes of vortex formation have been identified. For strong density currents and weak rotation, vortices are formed by stretching of the upper layer near the source as found also in the experiments by Lane-Serff and Baines (1998) [Lane-Serff, G.F., Baines, P.G., 1998. Eddy formation by dense flows on slopes in a rotating fluid. J. Fluid Mech. 363, 229–253]. For weak density currents and strong rotation vortices are due to instability of the bottom plume itself as found in the numerical simulations of Jiang and Garwood (1996) [Jiang, L., Garwood, W. Jr., 1996. Three-dimensional simulations of overflows on continental slopes. J. Phys. Oceanogr. 26, 1224–1233]. 相似文献
8.
Buoyancy-driven boundary currents were generated in the laboratory by releasing buoyant fluid from a source adjacent to a vertical boundary in a rotating container. The boundary removed the Coriolis force parallel to it, allowing the buoyant fluid to spread in a current along the boundary. Ise of a cylindrical boundary and a line source that released fluid uniformly around the circumference enabled an axisymmetric (zonal) current to be produced. With the continuous release of fluid from the source, the current grew in width and depth until it became unstable to non-axisymmetric disturbances. The wavelength and phase velocities of the disturbances were consistent with a model of baroclinic instability of two-layer flow when frictional dissipation due to Ekman layers is included. However, when the current only occupied a small fraction of the total depth, barotropic processes were also thought to be important, with the growing waves gaining energy from the horizontal shear.In other experiments, gravity currents were produced by a point source adjacent to either a zonal (circular) or a meridional (radial) vertical boundary. The currents were also observed to become unstable to the same upstream breaking waves as those on the continuous zonal current. Finally, some comparisons are made with oceanic coastal currents. 相似文献
9.
旋转正压大气中的Rossby孤立波和偶极子阻塞 总被引：1，自引：0，他引：1
大气中的阻塞动力学一直是大气动力学中所要解决的重要问题之一,随着数学的发展,阻塞动力学的研究也取得了较大的进展。大气中的阻塞可以分为两类:一类是单个非偶极子阻塞(只存在高压或低压),另一类是偶极子阻塞(高压的南侧存在闭合的低压)。关于偶极子阻塞的动力学研究是在80年代以后才进行的。为了解释大气中所出现的偶极子阻塞,Mcwilliams(1980)提出了Equivalent 相似文献
10.
P. L. Read 《Dynamics of Atmospheres and Oceans》1988,11(3-4)
The analytical model of finite-amplitude, quasi-geostrophic ‘free mode’ baroclinic eddies and mean zonal flows in a Cartesian channel, presented recently by Read, is extended to take account of vertical variations in the buoyancy frequency N. A series of exact solutions is presented to illustrate the effect of monotonically varying static stability on the structure and properties of the flow. The analytical solutions are then compared with a corresponding series of numerical simulations of steady wave flows in a rotating fluid annulus subject to internal heating and sidewall cooling. By suitable choices of internal heating distributions and boundary conditions, several different forms of N2 profile could be obtained in the simulated flows, in which N2 was concentrated to a greater or lesser extent towards the upper boundary. The resulting steady flows exhibited strong qualitative similarities in their structure and dependence upon the form of N2(z) to that of the analytical solutions when realistic profiles of N2 were included in the latter, especially when an equivalent-barotropic component was included, although the latter component is unable to satisfy the simplest (internal jet) form of horizontal boundary condition as usually applied to Rossby waves.The relatively weak, though crucially important, forcing and dissipation processes in the annulus are examined using approximate quasi-geostrophic diagnostics of the major terms in the budget of potential enstrophy for the numerical simulations. Internal heating is found to be the major source of potential enstrophy for the mean zonal flow, solely by virtue of the variation of N2 with height, but has only a minor direct effect upon the eddy flow component. Because of the presence of critical layers in the flow, all non-linear terms (including the third-order potential enstrophy flux divergence) are found to be significant in certain regions. Some implications for the value and applicability of EP flux diagnostics are discussed. Potential enstrophy budgets for horizontal regions enclosed by geostrophic streamlines are used to shed further insight into the maintenance of the flow against ‘friction’, and on the form of the potential vorticity-streamfunction relationship. Some implications of the results for other systems of geophysical interest are also discussed. 相似文献
11.
We discuss a laboratory model of the flushing and mixing between a bay and a sea connected by a narrow channel. Tidal changes in water elevation lead to periodic flow in and out of the bay through the narrow channel. Due to flow separation there is an asymmetry between the flow entering and leaving the channel on different phases of the tide. A consequence of this asymmetry is that every tidal cycle a fraction of fluid is not returned through the channel, so that a passive tracer in the bay is successively flushed away. We consider what happens when the creation of vorticity in the channel leads to the formation of a dipole that can propagate away from the returning flow of the later phase of the tide. When the dimensionless ratio of maximum channel velocity U, width of channel W and tidal period T is such that W/UT<0.13, we find that dipoles can propagate away from the source region without being drawn back into the sink. This process leads to a larger exchange of water between the estuary and sea, than the classical model of tidal flushing by the jet-sink asymmetry of [Stommel, H., Farmer, H. G., 1952. On the nature of estuarine circulation WHOI Tech. Rep. 52–88, 131]. 相似文献
12.
On the failure of Laplace's tidal equations to model subinertial motions at a discontinuity in depth
David C. Chapman 《Dynamics of Atmospheres and Oceans》1982,7(1):1-16
Infinitesmal amplitude, inviscid, subinertial oscillations over a discontinuity in depth are considered distinguishing three ocean models: (i) the Laplacian model in which the flow is governed by Laplace's tidal equations (LTE); (ii) the more realistic geophysical model in which the Vaisala frequency is assumed to be much greater than the inertial frequency; and (iii) the laboratory model in which the fluid is homogeneous with the Vaisala frequency equal to zero. The Laplacian model supports free waves perfectly trapped at the step while the laboratory model supports no perfectly trapped waves. The two approximations nevertheless predict similar behavior, because in the presence of forcing, the surface mode of the laboratory model is highly excited at frequencies and wavenumbers close to those of the perfectly trapped solutions predicted by LTE. Only in the limit of very long, low-frequency motions does the Laplacian model describe the barotropic modes of the geophysical model well, qualitatively, and even here the quantitative disagreement in predicted phase speeds and group velocities is substantial. At shorter wavelengths, LTE qualitatively misrepresent the dispersion properties by erroneously predicting topographically trapped motions with vanishing group velocity at a subinertial upper limit to the frequency of free oscillation. In particular, the results indicate that, for the step topography, there is in general no trapped, barotropic mode (double-Kelvin wave) in the geophysical model. Thus, LTE fail in modeling even the barotropic parts of subinertial motions at a depth discontinuity and should not be used in such calculations. 相似文献
13.
对于一控制在中心降冷、边缘加热的旋转圆盘内的流体,增加或减少其温差,可引起流体中波数的转变。本文对四波向三波及三波向四波的转变过程作了较详细的分析,发现在四波向三波转变时,平均经圈环流和西风强度均发生迅速的变化。维持四波时,平均经圈环流为靠近热源处下沉和靠近冷源处上升的反环流。当转变过程发生时,经圈环流转变成正环流,转换完成后则恢复成反环流。在经圈环流变化的同时,西风强度也发生由弱变强而后再由强变弱的转变。三波向四波转变时,经圈环流及西风强度没有上述变化,只有强度的不同。 根据热量输送的计算结果,波数不同,它所产生的热量的涡动输送也不一样,三波时热量的涡动输送较强,四波时热量的涡动输送较弱。最后,我们联系热量输送的特点对上述结果进行了初步的讨论。 相似文献
14.
Laboratory models of rapidly rotating geophysical flows often show significant asymmetries with respect to the sign of the gyre forcing. In this paper we focus on the instability of separated boundary currents and the resulting transition to time-dependent motion in a slightly sliced cylinder driven by a differentially rotating lid. This transition occurs more readily for cyclonic (co-rotating) gyre forcing, when compared with that observed for anticyclonic forcing, even though the system Rossby number is very small. Quasi-geostrophic models are invariant to changes in the sign of the forcing, so a more accurate theoretical framework must be used to capture the observed asymmetries. An intermediate model, which includes a second-order nonlinear Ekman suction relation, is proposed and integrated numerically. The results are in significantly better agreement with the laboratory observations, and simple diagnostics illustrate which of the higher-order physical effects are responsible for the enhanced instability of cyclonically forced gyres. 相似文献
15.
16.
There are two important features in geophysical fluid dynamics. One is that the atmospheric and oceanic equa-tions of motion include the Coriolis force; another is that they describe a stratified fluid. The hydrostatic extraction scheme, or standard stratification approximation, posed by Zeng (1979), reflects the second aspect of geophysical flu-id dynamics. There exist two major advantages in this scheme; accurate computation of the pressure gradient force can be obtained over steep mountain slopes, and the accumulation error in vertical finite differencing can be reduced, especially near the tropopause.Chen et al (1987) introduced the hydrostatic extraction scheme into a global spectral model, which attained pre-liminary success at low resolution. Zhang and Sheng et al (1990) developed and improved the hydrostatic extraction scheme in a global spectral model, in which C0, the parameter that represents the stratification of the reference at-mosphere, changes not only with height, but also with latitude. The scheme has been incorporated BMRC’s global spectral model (IAPB). Four 5-day forecasts have been performed to test the IAPB with the hydrostatic extraction scheme. Objective verifications demonstrate a positive effect of the hydrostatic extration scheme on BMRC’s model, particularly at upper levels, over the tropics and the Antartic region. 相似文献
17.
V. E. Prokhorov 《Meteorology and Atmospheric Physics》2004,85(1-3):39-46
Summary The atmosphere and the ocean are greatly distinct in two aspects that determine their fundamental qualitative difference of the sound scattering. (1) A sharp distinction between the state equations in both media. This leads to a great difference in mechanisms of the volume scattering which is mainly caused by directional (dipole and quadruple) and omnidirectional contributors, respectively, in the atmosphere and in the ocean. (2) Atmospheric kinetic coefficients (thermoconductivity, diffusion and viscosity) are close to each other and substantially exceed any of those of the seawater; besides, the latter very differ between each other. These features, with account of commonly employed sound wavelengths and intensities of the turbulence in both media, essentially eliminates an existence of sound specular scattering (reflection) in the atmosphere, however, makes it quite possible in the ocean. Reflective properties of the thin layers in the seawater strongly depend on which type of stratification dominates. At initial stage the temperature layer excels the salinity one in reflectivity by factor 4.7; however, the lifetime of the latter is longer in dozens of times. Theoretically derived amplitude and evolution features of the scattering from the salt layer have been confirmed in laboratory experiment. One more experimental series has been carried out to distinguish the scattering from the reflective layer and microstructure, both co-existing in the wake past a cylinder. An employment of bistatic sounding configuration allows separating both the reflection and diffuse scattering effects, the former is stronger by factor 50. The volume scattering cross-sections, obtained both by an acoustic way and derived by processing of the optical image spectra, are in agreement and follow the function k–7 of the wave number k. 相似文献
18.
利用NCEP 1°×1° 6h再分析资料、位涡反演和数值试验方法,分离与不同物理过程有关的扰动位涡进行反演诊断．在此基础上移除模式初始场中包含的与不同物理过程有关的扰动位涡反演的平衡场进行敏感性试验．对2006年5月21—22日一次热带扰动系统北上在广东珠江三角洲地区引发的大暴雨天气过程进行了探讨。结果发现：对流层中低层与潜热释放有关的正扰动位涡是影响热带扰动形成、维持及发展的主要因子之一;与潜热释放无关的扰动位涡对副热带高压的形成和维持有重要作用,影响热带扰动系统的移动路径;边界层内的扰动位涡有利于南海热带洋面北上气旋性扰动的发生、发展与维持;中高层扰动位涡对气旋性扰动系统的直接影响很小;下边界扰动位温不利于气旋性扰动系统的形成、维持与发展。数值敏感性试验表明,初始场中包含的与不同物理过程有关的扰动位涡在暴雨数值模拟中有重要作用,它们不同程度地影响热带扰动的强度、活动路径的模拟．并影响暴雨强度和落区;与非绝热物理过程有关的扰动位涡很大程度上影响暴雨强度,而与非绝热物理过程无关的扰动位涡很大程度上决定暴雨落区。 相似文献
19.
《Dynamics of Atmospheres and Oceans》2003,37(1):55-88
Numerical models demonstrate that a broad class of geophysical vortices freely evolve toward vertically aligned, axisymmetric states. In principle, this intrinsic drive toward symmetry opposes destructive shearing by the environmental flow.This article examines the case in which a discrete vortex-Rossby-wave dominates a perturbation from symmetry, and symmetrization occurs by decay of the wave. The wave is damped by a resonance with the fluid rotation frequency at a critical radius, r*. The damping rate is proportional to the radial derivative of potential vorticity at r*. Until now, the theory of resonantly damped vortex-Rossby-waves (technically quasi-modes) was formally restricted to slowly rotating vortices, which obey quasigeostrophic (QG) dynamics. This article extends the theory to rapidly rotating vortices.The analysis makes use of the asymmetric balance (AB) approximation. Even at a modest Rossby number (unity), AB theory can predict damping rates that exceed extrapolated QG results by orders of magnitude. This finding is verified upon comparison of AB theory to numerical experiments, based on the primitive equations. The experiments focus on the decay of low azimuthal wave-number asymmetries.A discrete vortex-Rossby-wave can also resonate with an outward propagating inertia-buoyancy wave (Lighthill radiation), inducing both to grow. At large Rossby numbers, this growth mechanism can be dynamically relevant. All balance models, including AB theory, neglect inertia-buoyancy waves, and therefore ignore the possibility of a Rossby-inertia-buoyancy (RIB) instability. This article shows that a large potential vorticity gradient (of the proper sign) at the critical radius r* can suppress the RIB instability, and thereby preserve balanced flow, even at large Rossby numbers. 相似文献
20.
Rory O. R. Y. Thompson 《Dynamics of Atmospheres and Oceans》1979,4(1):45-55
Pollard et al. (1973) proposed a closure hypothesis for the entrainment process in the stress-mixed layer of a stratified fluid. Some laboratory experiments suitable for testing the hypothesis were carried out by Kantha et al. (1977) and by Kato and Phillips (1969). In the early period of each experiment, before side-wall friction becomes important, these experiments support the closure hypothesis, with a critical Froude number close to 1, perhaps F = 1.2 ± 0.2. 相似文献