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1.
陈隆勳 《气象学报》1959,30(1):85-91
这篇文章同时考虑了基本气流的垂直分布和水平分布来讨论大尺度扰动的不稳定度。讨论了不稳定扰动发生的必要规准,并进一步讨论了扰动的发展或阻尼对大气环流的作用。  相似文献   

2.
用自由模对1998年夏季阻塞形势的诊断分析   总被引:2,自引:0,他引:2  
签于大气自由模和阻塞高压的重要性 ,首先简要介绍阻塞高压与中国夏季降水的关系及 1998年夏季 5 0 0hPa异常环流场 ;然后利用 2 1波菱形截断的谱方法求出无粘性、无强迫正压涡度方程的自由解 ,即和实际大气流场十分接近的大气自由模 ,并讨论其特征 ;最后利用大气自由模的特征诊断分析了实际大气的环流特征 ,并重点用其分析了 1998年夏季的大气环流异常形势。结果表明大气自由模能很好地反映大气环流大尺度特征 ,而略去了中、小尺度涡旋 ;大气自由模的流场和绝对涡度场之间的散点图反映了 (q ,Ψ )的函数关系是分段线性或非线性的 ,尽管实际流场与绝对涡度场之间的点阵图反映两者之间成不同斜率的线性函数关系 ,但点阵比较发散 ,不能突出某些重要系统 ;1998年夏季实际大气自由模态突出了大气环流的重要特征 ,例如 ,越赤道气流、西风急流、副热带高压、阻塞高压及两极的边界效应等 ;通过自由模态的特征可以识别出纬向流及阻塞高压的持续异常 ,利用自由模的稳定性判断阻塞高压的稳定性 ,不稳定模态可以维持一段较长的时间 ,且由于这些不稳定的模存在 ,才使 1998年 6月中旬到下旬的中高纬阻塞高压稳定维持。  相似文献   

3.
Wave-Mean Flow Interaction: the Role of Continuous-Spectrum Disturbances   总被引:2,自引:0,他引:2  
Traditionally, “eddy feeds zonal flow” in the atmosphere is considered as a result of decaying unstable waves. We show that disturbances made of non-modal solutions-the continuous-spectrum disturbances-can also effectively transport zonal angular momentum and interact with the zonal basic flow. These disturbances, though stable, eventually decay, losing their energy to strengthen the westerly jets in the atmosphere.Calculations with observational data illustrate that the atmospheric zonal flow is maintained primarily by continuous-spectrum disturbances rather than by unstable waves. Angular momentum transport by continuous-spectrum disturbances is one order of magnitude larger than that by all kinds of normal modes (referred as discrete-spectrum disturbances) including unstable waves.  相似文献   

4.
    
Traditionally, “ eddy feeds zonal flow” in the atmosphere is considered as a result of decaying unstable waves. We show that disturbances made of non-modal solutions -the continuous-spec-trum disturbances-can also effectively transport zonal angular momentum and interact with the zonal basic flow. These disturbances, though stable, eventually decay, losing their energy to strengthen the westerly jets in the atmosphere. Calculations with observational data illustrate that the atmospheric zonal flow is maintained primarily by continuous-spectrum disturbances rather than by unstable waves. Angular momen-tum transport by continuous-spectrum disturbances is one order of magnitude larger than that by all kinds of normal modes (referred as discrete-spectrum disturbances) including unstable waves. This research was partly supported by the Chinese Program on Basic Research and by the Institute of Atmospheric Physics, Chinese Academy of Sciences. It was also supported by NASA Grant NAGW 3517, and DOE Grant DEFG0285-ER60314 to the State University of New York at Stony Brook.  相似文献   

5.
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   

6.
l.Intr0ducti0nMaintenance,developmentanddecay0fmiddlelatitudeatmosphericdisturbancesarecentraltotheunderstandingofsynopticweatherprocessesandshort-termclimatevariability.FrontogenesisandsurgeofcoldwavesaretypicallyassociatedwithrapiddevelopmentoffavorablyconfiguredsmalldisturbancesintheuppertroPOsphere.Thesedisturbancesfurtheractasinteractivetransientforcingtocauselowfrequencyvariabilities.Theyalsoaffectthein-tensityofwesterliesandtheequator-to-P0letemPeraturegradientoftheatmosphere.Studieso…  相似文献   

7.
l.Intr0ducti0nTheequationsgoverningthemotionsoftheatmosphereandoceanaren0nlinear0nes.Itisdiffcultandcomplicatedtodealwiththenonlinearproblem.Sothetangentlinearmodel(TLM),whichisobtainedbylinearizingthenonlinearmodelinthevicinityofthebasicflow.iswidelyutilizedinthetheoreticalresearchandpracticalimplementationintheatmosphericandoceanicsciences.First-TLMcanbeusedtoestimatetheev0luti0nofsmallPerturbati0nsinaf0recastmodel.Second,itisadoptedinextendedKalmanfilterinthedataassimilation(Evensen,l99…  相似文献   

8.
对惯性重力内波方程组分别通过线性和非线性求解探讨造成2010年10月海南岛一次特大暴雨中一类热带中尺度涡旋生成发展的动力、热力机制,研究发现:(1)在副热带高压和大陆冷高压南侧反气旋性纬向水平风切变大值区、静力不稳定大气层结、积云对流潜热释放、低空急流、适当强度的冷空气有利于热带中尺度涡旋的形成和发展;(2)非线性惯性重力内波的孤立波解与这类热带中尺度涡旋有很好的联系,在静力不稳定的大气层结下,热带中尺度涡旋的形态主要由对流凝结潜热加热所决定,即潜热加热下的孤立波解要求热带中尺度涡旋在垂直方向是一个浅薄的涡旋系统;另外强盛的对流凝结潜热对热带中尺度涡旋垂直运动振幅的增强起主要作用,更有利于涡旋的发展和维持。基于天气事实分析的理论研究为深化影响海南的热带中尺度涡旋乃至南海中尺度对流系统的机理认识进行了探索。  相似文献   

9.
强迫耗散非线性发展方程准完全平方守恒格式的构造   总被引:5,自引:0,他引:5  
从描述大气和海洋运动的强迫耗散非线性发展方程出发,对强迫耗散非线性大气和海洋方程组显式差分格式的计算稳定性进行了分析,构造了一类强迫耗散性发展方程的显式准完全平方守恒差分格式,理论分析和数值试验证明,这类显式准完全平方守恒差分格式是计算稳定的.值得推广应用。  相似文献   

10.
A stability analysis of the coupled ocean–atmosphere is presented which shows that the potential energy (PE) of the upper layer of the ocean is available to generate coupled growing planetary waves. An independent analysis suggests that the growth of these waves would be maintained in the presence of oceanic friction. The growing waves are a consequence of relaxing the rigid lid approximation on the ocean, thus allowing an upward transfer of energy across the sea surface. Using a two and a half layer model consisting of an atmospheric planetary boundary layer, coupled with a two layer ocean comprising an active upper layer and a lower layer in which the velocity perturbation is vanishingly small, it is shown that coupled unstable waves are generated, which extract PE from the main thermocline. The instability analysis is an extension of earlier work [Tellus 44A (1992) 67], which considered the coupled instability of an atmospheric planetary boundary layer coupled with an oceanic mixed layer, in which unstable waves were generated which extract PE from the seasonal thermocline. The unstable wave is an atmospheric divergent barotropic Rossby wave, which is steered by the zonal wind velocity, and has a wavelength of about 6000 km, and propagates eastward at the speed of the deep ocean current. It is argued that this instability, which has a multidecadal growth time constant, may be generated in the Southern Ocean, and that its properties are similar to observations of the Antarctic Circumpolar Wave (ACW).  相似文献   

11.
It has previously been shown that aerodynamic roughness length changes significantly along with nearsurface atmospheric thermodynamic state; however, at present, this phenomenon remains poorly understood, and very little research concerning this topic has been conducted. In this paper, by using the data of different underlying surfaces provided by the Experimental Co-observation and Integral Research in Semi-arid and Arid Regions over North China, aerodynamic roughness length (z0) values in stable, neutral, and unstable atmospheric stratifications are compared with one another, and the relationship between z0 and atmospheric thermodynamic stability (ζ) is analyzed. It is found that z0 shows great differences among the stable, neutral, and unstable atmospheric thermodynamic states, with the difference in z0 values between the fully thermodynamic stable condition and the neutral condition reaching 60% of the mean z0. Furthermore, for the wind speed range in which the wind data are less sensitive to z0, the surface z0 changes more significantly with ζ, and is highly correlated with both the Monin-Obukhov stability (ζ0) and the overall Richardson number (Rib), with both of their correlation coefficients greater than 0.71 and 0.47 in the stable and unstable atmospheric stratification, respectively. The empirical relation fitted with the experimental observations is quite consistent with the Zilitinkevich theoretical relation in the stable atmosphere, but the two are quite distinct and even show opposite variation tendencies in the unstable atmosphere. In application, however, verification of the empirical fitted relations by using the experimental data finds that the fitted relation is slightly more applicable than the Zilitinkevich theoretical relation in stable atmospheric stratification, but it is much more suitable than the Zilitinkevich relation in unstable atmospheric stratification.  相似文献   

12.
Variational principle of instability of atmospheric motions   总被引:2,自引:0,他引:2  
Problems of instability of rotating atmospheric motions are investigated by using nonlinear governing equations and the variational principle. The method suggested in this paper is universal for obtaining criteria of instability in all models with all possible basic flows. For example, the model can be barotropic or baroclinic, layer or continuous, quasi-geostrophic or primitive equations; the basic flow can be zonal or nonzonal, steady or unsteady.Although the basic flows possess a great deal of variety, they all are the stationary points in the functional space determined by an appropriate invariant functional. The basic flow is an unsteady one if the conservation of angular momentum is included in the associated functional.The second variation, linear or nonlinear, gives the criteria of instability. Especially, the general criteria of instability for unsteady basic flow, orographically disturbed flow as well as nongeostrophic flow are first obtained by the method described in this paper.It is also shown that the difference between the criteria of instability obtained by the linear theory and our variational principle clearly indicates the importance of using nonlinear governing equations.In the appendix the theory is extended to cases such as in a β-plane where the fluid does not possess finite total energy, hence the variational principle can not be directly applied. However, a generalized Liapounoff norm can still be obtained on the basis of variational consideration.  相似文献   

13.
一次飑线过程对流稳定度演变的诊断分析   总被引:5,自引:3,他引:2  
周围  包云轩  冉令坤  王勇 《大气科学》2018,42(2):339-356
针对2016年5月2日发生在华东地区的一次飑线过程,利用WRF模式进行高分辨率数值模拟。在成功模拟飑线发生、加强和移动的基础上,对此次过程中对流不稳定特征以及引起对流稳定度变化的原因进行诊断分析。结果表明:(1)在降水发生前,低层大气表现为对流不稳定;降水发生后,对流不稳定能量得到释放,大气趋于稳定。为了分析引起对流稳定度变化的原因,推导了局地直角坐标系中相当位温垂直梯度的倾向方程,其中位势散度是引起位势稳定度局地变化的主要强迫项。在弱降水区,低层位势散度为负值,有利于增强位势不稳定;强降水区及其前沿为位势散度正值区,倾向于抑制位势不稳定。在强降水区低层,位势散度的主要分量为垂直风切变项,代表垂直风切变和大气湿斜压性的综合作用;高层的主要分量为散度项,代表水平散度和位势稳定度的耦合作用。(2)位势散度能综合表征降水区上空垂直风切变、大气湿斜压性、水平辐合辐散和大气位势稳定度变化等特征,因而与降水联系紧密。本文利用位势散度对飑线降水进行预报,结果表明,位势散度与小时观测降水在时间和空间上吻合较好,对降水区有一定的指示意义,可以为飑线降水业务预报提供参考。  相似文献   

14.
本文根据低纬大气基本要素场的分布特点,对控制低纬大气运动的方程组作了某些简化,建立了一个应用赤道β平画近似的描写低纬大气固有振荡的非线性模式。从这个模式出发,本文讨论了:(1)没有气压场影响时的纯惯性振荡;(2)考虑气压场且假定气压场是y的对称函数时的惯性振荡;(3)振荡平衡点的稳定性和在一定条件下出现的分岔现象;最后分析了纬向风速振荡周期变化的数值结果。本文研究指出: (i)纯惯性振荡只是在低纬的西风流场中才存在,纯惯性的线性振荡的圆频率为ω0=√β0μ0*,相应的振荡周期为一到两周。在非线性条件下,出现两种圆频率的振荡:ω0=√β0μ0和ω1=1/2β0y0,但一般对线性振荡的结果影响不大,只是在出现孤立子振子时(此时ω10),振荡周期迅速增长,出现长周期的低频和超低频振荡。 (ii)考虑了气压场后,不只是在低纬的西风流场中存在振荡,在弱东风流场中也会出现振荡。不过,低纬的弱气压场对惯性振荡的影响主要在于改变惯性稳定度的数值,但对振荡的周期影响不大。 (iii)惯性振荡的稳定性由惯性稳定度参数μ决定。在线性条件下,当μ<0时,低纬惯性振荡是稳定的,当μ>0时,低纬惯性振荡是不稳定的;但在非线性条件下,即便在μ>0时也会出现稳定的惯性振荡,这是非线性对不稳定增长的抑制作用所致。因而当参数μ由负值变到正值时,在b<0的条件下出现了超临界分岔。   相似文献   

15.
Chen  Lilan  Fang  Jiabei  Yang  Xiu-Qun 《Climate Dynamics》2020,55(9-10):2557-2577

While recent observational studies have shown the critical role of atmospheric transient eddy (TE) activities in midlatitude unstable air-sea interaction, there is still a lack of a theoretical framework characterizing such an interaction. In this study, an analytical coupled air-sea model with inclusion of the TE dynamical forcing is developed to investigate the role of such a forcing in midlatitude unstable air-sea interaction. In this model, the atmosphere is governed by a barotropic quasi-geostrophic potential vorticity equation forced by surface diabatic heating and TE vorticity forcing. The ocean is governed by a baroclinic Rossby wave equation driven by wind stress. Sea surface temperature (SST) is determined by mixing layer physics. Based on detailed observational analyses, a parameterized linear relationship between TE vorticity forcing and meridional second-order derivative of SST is proposed to close the equations. Analytical solutions of the coupled model show that the midlatitude air-sea interaction with atmospheric TE dynamical forcing can destabilize the oceanic Rossby wave within a wide range of wavelengths. For the most unstable growing mode, characteristic atmospheric streamfunction anomalies are nearly in phase with their oceanic counterparts and both have a northeastward phase shift relative to SST anomalies, as the observed. Although both surface diabatic heating and TE vorticity forcing can lead to unstable air-sea interaction, the latter has a dominant contribution to the unstable growth. Sensitivity analyses further show that the growth rate of the unstable coupled mode is also influenced by the background zonal wind and the air–sea coupling strength. Such an unstable air-sea interaction provides a key positive feedback mechanism for midlatitude coupled climate variabilities.

  相似文献   

16.
Multiple equilibria and their stability in tropical atmosphere are investigated through β-plane barotropic models with consideration of heating and dissipation. We have derived the solutions of the model equations corresponding to the multiple equilibria or the steady flows first, and then establish the criteria for the stability of steady flow by use of the Liapunov direct Method. When these criteria are applied to the solutions of equilibria obtained, stable flows, which are closely related to the different patterns of quasi-stationary circulation in the tropical region, are found. The configurations of these stable flows and the shift between two of them as season changes provide quite reasonable explanations to many fundamental problems of tropical circulation features such as the catastrophe mechanism of the onset and the break-active cycle of the Asian summer monsoon. It follows that the onset or the abrupt transition of the Asian summer monsoon could be attributed to the multiple equilibrium property of the tropical circulation resulted from the advective nonlinearity, which provide another explanation among others.  相似文献   

17.
    
Atmospheric disturbances at 300 hPa are decomposed into normal modes, referred as discrete—spectrum disturbances which can propagate freely in the observed zonal mean flow, and non—modal transient disturbances, referred as continuous—spectrum disturbances which are continuously sheared and eventually absorbed by the zonal flow. It is shown that normal modes represent only a small fraction of the observed atmospheric disturbances, while continuous—spectrum disturbances represent the majority of observed disturbances, even when the basic flow is unstable. Daily variabilities of the observed continuous—spectrum disturbances are presented. They are shown to follow the results of wave—packet theory. Calculations suggest that there are abundant sources to excite continuous—spectrum disturbances in the atmosphere. This research was partly supported by the Institute of Atmospheric Physics, Chinese Academy of Sciences. Additional support is provided by NASA Grant NAGW3517 and DOE Grant DEFG0285-ER60314 to SUNY at Stony Brook.  相似文献   

18.
线性和非线性地形罗斯贝波   总被引:1,自引:0,他引:1  
赵平  孙淑清 《大气科学》1991,15(2):33-40
本文在半地转概念下,讨论了线性和非线性地形罗斯贝波的稳定性及其解。指出:线性和非线性稳定性判据形式一致。在线性时,地形东西向及南北向坡度对稳定波动的周期和传播速度有明显影响,其解为周期函数;在不稳定时,解为非周期函数。二级近似时其解为孤立波形式——不稳定时,在地形不同位置可形成东移或西移的孤立波槽或孤立波脊;而在稳定时只形成孤立波槽。三级近似时解出现间断点。  相似文献   

19.
The linear and weakly nonlinear dynamics of long, low frequency, spatially growing baroclinic waves embedded in slowly varying zonal flow on a β-plane channel are examined in a continuous model of the atmosphere. For a basic state jet flow possessing a locally unstable region, the nonlinear solution yields a maximum amplitude that is located near the region of maximum baroclinicity and substantially upstream of the maximum amplitude obtained from linear theory. The difference between the linear and nonlinear solutions is due to the time-averaged wave fluxes becoming large enough in the nonlinear problem to stabilize the flow prior to reaching the location (jet center) where the basic state baroclinicity and locally computed linear growth rate are maximized.  相似文献   

20.
不稳定边界层下地形重力内波   总被引:3,自引:0,他引:3  
水槽实验及线性理论研究表明,当低层大气处于近中性或不稳定时,如果地形引起的动力扰动足够强,地形扰动可在上部稳定层结中激发出重力内波,波动反过来影响低层流场,引起动量输送。低层大气处于近中性或不稳定时,地形波同样对大气运动可产生波阻,这应引起模式工作者的重视。最后讨论了大气粘性对中性或不稳定层结下地形波的影响。  相似文献   

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