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1.
利用最小能量原理讨论了非地转流经过调整后的平衡态的情况。对于两维模型来说,不平衡流通过调整获得的平衡终态依赖于初始不平衡场的分布特点。如果不平衡流的初始位涡是非均匀的,则其通过适应过程而达到的平衡状态不一定满足热成风关系;对于初始位涡是均匀的或为零的不平衡流来说,如果初始密度的水平变化不是非常显著,则运动最后可以达到热成风平衡状态,反之,最后的平衡态则不满足成风关系,对于这种情况,我们利用广义动量坐标系进行了详细讨论。  相似文献   

2.
作者的目的是分析地形对由于热力差异所引起的局地锋生现象和地转适应过程的影响.为此,分别用零位涡流和均匀位涡流来近似代替实际大气,并借助位涡、绝对动量、位温的守恒关系,就地形对适应锋生和适应过程中能量转换等问题进行了简单讨论。初始位温扰动的水平分布及其相对于地形的位置对适应锋生有重要影响。当初始热力扰动主要位于地形迎风坡山脚时,地形不利于锋面形成,这时要形成锋面不连续,初始位温梯度的水平变化必须非常显著;当初始热力扰动主要位于山顶附近时,地形促进流体运动的辐合,有利于锋面不连续的形成,这时即使初始位温梯度的水平变化不是很大,也可能会形成锋面;当初始热力扰动主要位于背风坡时,地形是否有利于锋面不连续的形成取决于流体的层结情况,如果流体的基本层结很弱,地形促进锋面不连续的形成,反之,地形不利于锋面不连续的形成,这种差异主要是由于在这两种情况下,地形引起的下沉增温效应的强弱是不同的。另外,地形对地转适应过程中动能和位能之间的能量转换率也有影响,与没有地形的情况相比,当初始热力差异显著区位于迎风坡时,能量转换率减小,当不平衡场位于背风坡时,能量转换率增加,原因是在迎风坡流体要克服重力作功,在背风坡重力对流体作正功。  相似文献   

3.
The geostrophic Ekman boundary layer for large Rossby number (Ro) has been investigated by exploring the role played by the mesolayer (intermediate layer) lying between the traditional inner and outer layers. It is shown that the velocity and Reynolds shear stress components in the inner layer (including the overlap region) are universal relations, explicitly independent of surface roughness. This universality of predictions has been supported by observations from experiment, field and direct numerical simulation (DNS) data for fully smooth, transitionally rough and fully rough surfaces. The maxima of Reynolds shear stresses have been shown to be located in the mesolayer of the Ekman boundary layer, whose scale corresponds to the inverse square root of the friction Rossby number. The composite wall-wake universal relations for geostrophic velocity profiles have been proposed, and the two wake functions of the outer layer have been estimated by an eddy viscosity closure model. The geostrophic drag and cross-isobaric angle predictions yield universal relations, which are also supported by extensive field, laboratory and DNS data. The proposed predictions for the geostrophic drag and the cross-isobaric angle compare well with data for Rossby number Ro ≥ 105. The data show low Rossby number effects for Ro < 105 and higher-order effects due to the mesolayer compare well with the data for Ro ≥ 103.  相似文献   

4.
A numerical study of geostrophic adjustment and frontogenesis   总被引:1,自引:0,他引:1  
ANumericalStudyofGeostrophicAdjustmentandFrontogenesisMajidM.FarahaniandWuRongsheng(伍荣生)DepartmentofAtmosphericSciences,Nanji...  相似文献   

5.
By using simple barotropic boundary layer equations with constant eddy viscosity,the analytical solution is obtained under the initial condition that the distribution of wind for a given pressure is not the well-known Ekman flow.We have found that the wind will finally adjust to the Ekman flow at a rate faster than that of geostrophic adjustment.We have also found that the thinner the boundary layer,the faster the rate of adjustment.  相似文献   

6.
The linear baroclinic instabilities of a basic geostrophic shear flow in a stratified, thermally active ocean are considered, including the β-effect. It is shown that the internal heat production, even if it introduces only minor changes into the geostrophic balance, may deeply modify the stability properties of the stationary solutions. If density, geostrophic basic flow, and heat production are all regarded as arbitrary functions of depth only, and if a linear nonzonal assumption is made about the geostrophic pressure field, it can be shown how the geostrophic equilibrium is altered and how the internal heating affects both the directions of propagation and the growth rates of quasi-geostrophic disturbances. A semicircle theorem valid for every direction of propagation is proved, by generalizing well-known results obtained for adiabatic geostrophic flows.Finally, it is found that the modified instability can be described adequately by a directional Richardson number related to the perturbed stationary geostrophic flow.  相似文献   

7.
1INTRODUCTIONEversincethe1940抯,thetropicalcyclone(TC)hasbeenviewedasapointvortexorrigidvortex.Thepredictionissummedupasoneforairflowintheambientfield.Themethodusuallysucceeds.Thesteeringtheoryfortheairflowbecomesitstheoreticalfoundation.Thoughwithsomesuccess,theactualtrackofTCmovementcanbemuchdeviatedfromthesteeringcurrent,asseeninroutineforecastpractice.Withoutmuchchangesintheambientsteeringcurrent,theTCcanhaveunexpectedchangesinthedirection,speedofmotionorintensity.Atypicalexamplewo…  相似文献   

8.
Numerical results indicate that advection of momentum in the boundary layer may significantly alter both the structure of the planetary boundary layer and its influence on the overlying free atmosphere. However, due to the nonlinearity of the inertial terms, it is always difficult to obtain the analytical solution of the boundary-layer model that retains the flow acceleration. In order to overcome this difficulty, the geostrophic momentum (hereafter GM) approximation has been introduced into boundary-layer models. By replacing the advected momentum with the geostrophic wind, the effect of the flow acceleration is partially considered and the original nonlinear partial differential equation set is converted to ordinary differential equations, the solutions of which can be obtained easily with standard techniques. However, the model employing GM fails to capture the features of the boundary layer when the spatio-temporal variation of the boundary-layer flow cannot be properly approximated by the geostrophic wind. In the present work, a modified boundary-layer model with the inertial acceleration in a different approximate form is proposed, in which the advecting wind instead of the advected momentum is approximated by the geostrophic wind (hereafter GAM).Comparing the horizontal velocity and boundary-layer pumping obtained from the classical Ekman theory, and the model incorporating (i) GM and (ii) GAM, it is found that the model with GAM describes most facets of the steady well-mixed layer beneath a north-westerly flow with embedded mesoscale perturbations that is considered in the present work. Inspection of the solution of the model with GAM shows that, within the limit of the validation of the model (i.e., the Rossby number RO is not very large and the drag coefficient CD is not too small), the horizontal convergence (divergence) is strengthened by the effect of the inertial acceleration in the region of maximum positive (negative) geostrophic vorticity. Consequently, the boundary-layer pumping there is intensified. It is found that the intensification is firstly strengthened and then weakened as RO or CD increases.  相似文献   

9.
The characteristics of dynamics and thermodynamics of the atmospheric boundary layer in a part of the Colorado River Valley, centered around Lake Mohave, have been investigated by analysis of measurements conducted during a field program in late spring and early summer of 1986 and a series of numerical simulations by a three-dimensional second-moment turbulence-closure model. The model was validated against measurements described in a companion article (Engeret al., 1993). According to airsonde measurements performed on eight nights, the depth of the surface inversion was around 200 m with an average temperature gradient of about 30 K km–1. Analysis of acoustic sounder data collected during one month revealed significant diurnal variations ofU andV wind-speed components related to slope and valley flows, respectively. Some of the dynamics properties have been explained by the simulation results. It has been shown that the appearance of supergeostrophic southerly valley flow is associated with the westerly component of the geostrophic flow. Since a westerly component of the geostrophic wind is quite common for this area in summer, this effect also explains the frequently observed southerly valley flow in summer. Elevated minima of the measured wind speed around valley ridges appear to be related to the interaction of conservation of momentum in theX andY directions. The critical direction of the geostrophic wind relevant for reversal of up-valley flow to down-valley flow has also been studied. The critical direction is about 300° for one of the measurement sites and, depending on the angle between valley axis and south-north direction, the critical direction is expected to vary by about 15–20°. The scale analysis of the simulated equations of motion and turbulence kinetic energy emphasizes the strong impact of meandering of the flow due to actual topographic complexity.  相似文献   

10.
Frontogenesis, evolution and the time scale of front formation   总被引:1,自引:0,他引:1  
Frontogenesis,EvolutionandtheTimeScaleofFrontFormationFangJuan(方娟)andWuRongsheng(伍荣生)SevereMesoscalemeteorologicalResearchLab...  相似文献   

11.
1.IntroductionArnol'd(1965,1969)variationalprincipleandapriorestimatemethodisessentiallyageneralizationofLyapunovstabilitymethodforfinite--dimensionaldynamicalsystemsininfinite--dimensionalones,andhestudiedthenonlinearstabilityof2--dimensionalincompressibleidealfluidmotionbyuseofthismethod,andestablishedtwotheoremswhichareArnol,d'sfirsttheoremandArnol'd'ssecondtheorem.Eversincethe1980's,manyscientistshavebeenworkingonthissubject,Holmetal.(1985);MclntyreandShepherd(1987);Zeng(1989);Muetal.(1…  相似文献   

12.
利用国家气象中心T63L16的1.875×1.875经纬网格点资料和中央气象台编号的热带气旋实时中心位置资料,计算了1996年全年25个热带气旋,共126个时次的环境地转基本气流,分析了环境地转基本气流的垂直分布特征,并对热带气旋的实际运动与环境地转引导气流的偏差(后文将称其为引导偏差,即热带气旋的实际中心位置与按引导气流推算出的位置之间的偏差)进行了分析,发现引导气流的计算区域不同,其引导偏差是不一样的。得到了引导气流的最佳计算区域,并且发现热带气旋运动与环境地转基本气流的垂直切变结构的关系以及引导偏差与引导气流的速度、气旋本身的初始纬度位置和强度等有关。结果还表明,200~1000 hPa的深层加权平均的基本气流的引导效果最佳,可作为最佳引导气流使用。了解这些规律和特征,对热带气旋运动预报具有一定的参考意义。  相似文献   

13.
垂直方向静力适应过程的机理研究   总被引:3,自引:0,他引:3  
为了研究垂直方向静力适应过程的机理,通过垂直方向静力适应方程组导出适应过程的守恒量、适应终态和解析解,并对解析解进行数值模拟。研究结果表明:适应终态是由初始守恒量和基本场决定。垂直速度解析解是由声波和地面反射的声波组成。随着高度的增加,垂直速度呈现e的负指数衰减。适应时间依赖于初始扰动的强度和空间尺度,扰动值越大,范围越广,适应时间越长。浮力振荡频率值的大小影响适应范围,当浮力振荡频率值减小,静力适应影响范围将更广。  相似文献   

14.
Summary The multiple-Doppler synthesis and continuity adjustment technique (MUSCAT), developed for at least a pair of Doppler observations, is based on both a simultaneous resolution of the equations relating the wind components to the measured radial velocities and of the continuity equation, and the use of second-order derivatives in the cost function. It has been developed to solve the geometrical limitations that result from a dual-Doppler radar configuration, and has been successfully applied to airborne radar equipped for a fore-aft scanning. This paper intends to show the performance of this method in the case of a differing geometry from a ground-based dual-Doppler radar system, using simulated Doppler data deduced from an analytical wind field. It is shown that the constraint on the second-order derivatives allows to also obtain reliable wind vectors outside the Doppler lobes, i.e., in regions along the radar baseline where ill-conditioned analysis occurs. Received February 14, 2000/Revised April 4, 2001  相似文献   

15.
If the initial fields are not in geostrophic balance, the adjustment and evolution will occur in the stratified fluid, and the frontogenesis will occur under suitable conditions. The evolution is studied here with a nonhydrostatic fully compressible meso-scale model (Advanced Regional Prediction System, ARPS). Four cases are designed and compared: (i) control experiment; (ii) with different initial temperature gradient; (iii) with vapor distribution; (iv) with orographic forcing. The results show that: (1) there is an inertial oscillation in the evolution of the imbalanced flow with the frequency of the local Coriolis f, and with its amplitude de-creasing with time. The stationary balanced state can only be approached as it cannot be reached in the limit duration of time, The energy conversion ratio varies in the range of [0, 1 / 3]; (2) the stronger initial tempera-ture gradient can make the final energy conversion ratio higher, and vice versa; (3) suitable vapor distribu-tion is favorable for the frontogenesis. It will bring forward the time of the frontogenesis, strengthen the in-tensity of the cold front, and influence the final energy conversion ratio; (4) the orographic forcing has an ev-idently strengthening effect on the frontogenesis. The strengthening effect on the frontogenesis and the influ-ence on the final energy conversion ratio depend on the relative location of the mountain to the cold front.  相似文献   

16.
Using the T63L16 analysis data with the resolution of 1.875╳1.875 degree of latitude and longitude obtained from National Meteorological Center (NMC) and the real central position information of tropical cyclone (referred to as TC hereafter) numbered by NMC, the basic environmental geostrophic flow at 126 time levels of 25 TCs in 1996 are calculated. The vertical distribution features of the flows are analyzed. Besides, the deviation of real TC tracks from the flows (referred as steering deviation hereafter, namely, the deviation between the real central position of TC and the position calculated according to the steering flow) is also investigated. The result shows that the steering deviation would be different if the domain used to calculate the steering flow is different. The present paper obtains the optimum domain size to calculate the steering flow. It is found that the steering deviation is related to the velocity of steering flow and the initial latitude and intensity of TC itself, and that TC motion has relationship with the vertical shear structure of environmental geostrophic flow. The result also shows that the optimum steering flow is the deep-layer averaged basic flow from 1000 hPa to 200 hPa. Having the knowledge of these principle and features would help make accurate forecast of TC motion.  相似文献   

17.
Abstract

Baroclinic instability of zonal flows with different latitudinal structures is examined, using a linear, quasi‐geostrophic two‐level ß‐plane model. The flows have different amounts of skew, with respect to the channel centre, at different vertical levels. The results are interpreted in terms of the instability of the baroclinic components of the zonal flows. Because of the presence of latitudinal asymmetries, a spectrum of meridional modes is generated in the perturbation. In general, the meridional spectrum has two peaks: a primary peak at the planetary basic flow scale, and a secondary peak near the radius of deformation. As neutral stability is approached, the latter scale becomes more important, i.e. there is a tendency for more small‐scale structure near neutral stability. The perturbation zonal scale is close to the radius of deformation. The eddy amplitudes and momentum fluxes are also examined. The case that best applies to the atmosphere is also discussed.  相似文献   

18.
1.InttoductionIftheinitialfieldsarenotingeostrophicbalance,theadjustmentandevolutionwilloccurinthestratifiedfluid,andthefrontogenesiswilloccurundersuitableconditions.ThisaspectwasfirstinvestigatedbyRossby(1938),followedbymanyscientists(Blumen,1972;Gill,1976,1982;VanHeijst,1985;BossandThompson,1985;On,1984,1986;McWilliams,1988;Middleton,1987;Glendening,1993;BlumenandWu,1995;WuandBlumen,1995;Grimshaw1998;Blumen,1998;etc.).Intheseresearches,theenergyconversionratioy=AEk/BE,isaninterestin…  相似文献   

19.
The inertial coupling model of the surface shear stress at the sea surface (Bye, 1995) which takes account of the surface wavefield, has been applied to couple the Ekman layers of the ocean and atmosphere. We determine the surface shear stress and geostrophic drag coefficient, under barotropic conditions. The results are expressed in terms of the shear between the inertially weighted (i.e. velocity×square root of the density) relative geostrophic velocities in the two fluids, in which the reference velocity need not be specified, a priori. We find, in particular, that the deflection of the relative surface geostrophic wind to the surface shear stress in naturally occurring seastates, is about 9°. In the application of the analysis to general circulation models, it is argued that, since the inertially weighted relative geostrophic velocities in air and water are of similar magnitude, this implies that the surface shear stress can be significantly reduced by the current component of the inertially weighted geostrophic shear, with a corresponding reduction in importance of the Ekman transport.  相似文献   

20.
Summary The time-dependent motion of long ridges through a linearly stratified fluid otherwise at rest is investigated in a series of laboratory experiments. Similarity conditions for relating such flows to the atmosphere are deduced from the equations of motion and boundary conditions for the respective systems.Experiments concerning end-wall effects in towing experiments with linearly stratified fluid systems are conducted. For obstacles extending across the entire width of the tow tank it is shown that the upstream conditions are continually changing so that a final steady state motion may never be realized. Isolated topographies are shown to induce significantly less effect on the far upstream fluid motions. Case studies for the flow past long ridges for which the motion at large times is to be that of single, double and triple mode lee-waves and breaking lee vortices are conducted for impulsively started and uniformly accelerated and decelerated obstacle transverses. The final flow configuration under certain situations is shown to be relatively insensitive to the starting conditions. In other cases the final flow can be highly dependent on the time history of the ridge traverse through the tank. For example, for the case in which a breaking lee vortex is expected as the final flow, small initial uniform accelerations from a zero velocity lead to the formation of a strong rotor along the free surface of the tank and in the lee of the obstacle. This rotor is maintained in an approximate equilibrium position as the ridge speed reaches a value for which a breaking lee vortex (having no rotor) should be expected; i.e., the type of flow obtained for impulsively started or rapidly accelerating ridges, other parameters being fixed.The phenomenon of the oscillation of the structure of the wake flow between a relatively smooth laminar lee-wave pattern and lee waves that break into turbulence is investigated for impulsively started ridges. By defining the parameterN w as the number of waves downstream of the first trough that are clearly identifiable it is shown that the tendency for wake breakdown into turbulence increases with increasing internal Froude number, other parameters being fixed. No definitive period was found relating the alternating nature of the wake between breakdown, into turbulence, relaminarization and so on.With 20 Figures  相似文献   

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