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1.
Li Yang 《大气科学进展》2000,17(3):413-432
The nonlinear stability of the three-layer generalized Phillips model, for which the velocity in each layer is constant and the top and bottom surfaces are either rigid or free, is studied by employing Arnol’d’s variational principle and a prior estimate method. The nonlinear stability criteria are established. For com-parison, the linear instability criteria are also obtained by using normal mode method, and the influences of the free parameter, β parameter and curvature in vertical profile of the horizontal velocity on the linear in-stability are discussed by use of the growth rate curves.The comparison between the nonlinear stability criterion and the linear one is made. It is shown that in some cases the two criteria are exactly the same in form, but in other cases, they are different. This phenom-enon, which reveals the nonlinear property of the linear instability features, is explained by the explosive resonant interaction (ERI). When there exists the ERI, i.e., the nonlinear mechanisms play a leading role in the dynamical system, the nonlinear stability criterion is different from the linear one; on the other hand, when there does not exist the ERI, the nonlinear stability criterion is the same as the linear one in form.  相似文献   

2.
By using a P-σ incorporated coordinate five-layer primitive equation spherical band model with surfacetemperature controlled by the heat balance equation,a simulation is done of disturbance formation in ananomalously warm SST area and of the quasi-biweekly oscillation(QBWO)of the disturbance,and associatedrainfall and SST with SST being 1/3 period of oscillational phase ahead of rainfall.The study shows that theoscillation is produced by cloud-radiation interaction.Initial anomalously warm SST in the mid-western Pa-cific causes stronger oscillation than in the eastern.Hence the oscillation gets attenuated during the eastwardmovement of the disturbance.  相似文献   

3.
Nonlinear stability criterion for plane rotating shear flow under three-dimensional nondivergence disturbances was obtained by using both variational principle and convexity estimate introduced by Arnold (1965) and Holm et al. (1985). The results obtained in this paper show that the effect of Coriolis force plays an important role in the nonlinear stability criterion, and the nonlinear stability property of the basic flow depends on both the distribution of basic states and the way the external disturbance acts on the states. The upper bound of the gradient of the mass density displacement from the equilibrium k2 = is determined by the basic states and one example was given to show the exact upper value of k. The remarks on Blumen's paper were also given at Section 4 of this paper.  相似文献   

4.
In this paper, the linear stability of disturbance superimposed on basic state Rossby wave forced by topography is investigated, and pointed out that when a certain criterion is satisfied by the basic flow and the height of topography for the subresonance, the small disturbance may be unstable. Furthermore, we also compare the evolution of the instability disturbance with the development of blocking in the Pacific, and we suggested that the topographically forced Rossby wave instability may provide a possible mechanism for the development of blocking in the Pacific.  相似文献   

5.
The development of symmetric disturbance superposed on the background field of Hoskins-Bretherton (1972) frontogenesis model is investigated by means of WKBJ approach,It is found thatthe forcing of large-scale deformation,the frontal circulation and the spatial-temporal variations ofstability parameters (F~2,N~2,M~2) can bring about the development of symmetric disturbance,even though the frontal baroclinic flow is symmetric stable (F~2N~2-M~2=q>0),Thefrontogenetical process of deformation confluence zone and the ascending branch of frontalcirculation are in favor of the development of symmetric disturbance,The actions of ageostrophicshear in frontal zone and the variation of stability parameters are dependent on the structure ofdisturbance.  相似文献   

6.
This study revises Weare’s latent heat parameterization scheme and conducts an associated theoretic analysis. The revised Weare’s scheme is found to present potentially better results than Zebiak’s scheme. The Zebiak-Cane coupled ocean-atmosphere model, initialized by the National Centers for Environmental Prediction and the National Center for Atmospheric Research (NCEP/NCAR) reanalysis of wind stress anomaly at 925 hPa, is referred to as the ZCW coupled model. The atmosphere models of the ZCW coupled model that use Zebiak’s scheme and the revised Weare’s scheme are referred to as the ZCW0 and ZCWN atmosphere models, respectively. The coupled ocean-atmosphere models that use Zebiak’s scheme and the revised Weare’s scheme are referred to as the ZCW0and ZCWN coupled models, respectively. The simulations between the ZCW0 and ZCWN atmosphere models and between the ZCW0 and ZCWN coupled models are analyzed. The results include: (1) The evolution of heat, meridional wind and divergence anomalies simulated by similar ZCW0 and ZCWN atmosphere models, although the magnitudes of the former are larger than those of the latter; (2) The prediction skill of the Ni?o3 index from 1982 to 1999 by the ZCWN coupled model shows improvement compared with those by the ZCW0 coupled model; (3) The analysis of El Ni?o events in 1982/1983, 1986/1987, and 1997/1998 and La Ni?a events in 1984/1985, 1988/1989, and 1998/2000 suggests that the ZCWN coupled model is better than the ZCW0 coupled model in predicting warm event evolution and cold event generation. The results also show the disadvantage of the ZCWN coupled model for predicting El Ni?o  相似文献   

7.
In this paper, the adaptation process in low latitude atmosphere is discussed by means of a two-layer baroclinic model on the equator β plane, showing that the adaptation process in low latitude is mainly dominated by the internal inertial gravity waves. The initial ageostrophic energy is dispersed by the internal inertial gravity waves, and as a result, the geostrophic motion is obtained in zonal direction while the ageostro-phic motion maintains in meridional direction, which can be called semi-geostrophic balance in barotropic model as well as semi-thermal-wind balance in baroclinic model. The vertical motion is determined both by the distribution of the initial vertical motion and that of the initial vertical motion tendency, but it is unrelated to the initial potential vorticity. Finally, the motion tends to be horizontal. The discussion of the physical mechanism of the semi-thermal-wind balance in low latitude atmosphere shows that the achievement of the semi-thermal-wind balance is due to the adjustment between the stream field and the temperature field through the horizontal convergence and divergence which is related to the vertical motion excited by the internal inertial gravity waves. The terminal adaptation state obtained shows that the adaptation direction between the mean temperature field and the shear flow field is determined by the ratio of the scale of the initial ageostrophic disturbance to the scale of one character scale related to the baroclinic Rossby radius of deformation. The shear stream field adapts to the mean temperature field when the ratio is greater than 1, and the mean temperature field adapts to the shear stream field when the ratio is smaller than 1.  相似文献   

8.
With the aid of a global barotropic model, the role of the interaction of the synoptic-scale disturbance and the planetary flow in block onset is examined by a 4-dimensional variational approach. A cost function is defined to measure the squared errors of the forecasted stream functions during block onset period (day 4 and day 5 in this study) over a selected blocking domain. The sensitivity of block onset with respect to the initial synoptic-scale disturbance is studied by examining the gradient of the defined cost function with respect to the initial (during the first 24 hours) vorticity forcing, which is evaluated by the adjoint integration. Furthermore, the calculated cost function and gradient are connected with the limited-memory quasi-Newton optimization algorithm for solving the optimal initial vorticity forcing for block onset. For two studied cases of block onset (northern Atlantic and northern Pacific) introducing the optimal initial vorticity forcing, the nonlinear barotropic advection process mostly reconstructs these blocking onset processes. The results show that the formation of blocking can be correctly described by a barotropic nonlinear advection process, in which the wave- (synoptic-scale) flow (planetary-scale) interaction plays a very important role. On an appropriate planetary-scale flow, a certain synoptic-scale disturbance can cause the blocking onset by the interaction between the synoptic scale perturbations and the planetary scale basic flows. The extended forecasts show that the introduction of the optimal initial vorticity forcing can predict the blocking process up to the 7th or 8th day in this simple model case. The experimental results in this study show that the 4-dimensional variational approach has a good potential to be applied to study the dynamics of the medium-range weather processes. This simple model case study is only an initial trial. Applying the framework in this study to a complex model will further our understanding of the mechanism of the atmospheric/oceanic processes and improve their prediction.  相似文献   

9.
A numerical experiment of an asynchronous coupled ocean-atmosphere model has been described in this paper.Atwo-layer global atmosphere general circulation model(OSU/IAP-AGCM)and a two-layer North Pacific Oceangeneral circulation model(NPOGCM)developed by Liu et al.(1992)are used in numerical experiment.The sea surfacetemperature anomaly(SSTA)corresponding to the meander of the Kuroshio is treated as the initial perturbation in thePacific Ocean and the abnormal phenomena caused by the disturbance and the interaction between atmosphere andocean,have been studied.The numerical experiment showed that the SST anomaly in the North Pacific could induce a new 30—60 dayoscillation through the coupling between atmosphere and ocean and the interaction between the meander of theKuroshio and atmosphere circulation is a positive feedback process.  相似文献   

10.
INSTABILITY PROPERTIES OF ATMOSPHERIC DISTURBANCES   总被引:1,自引:0,他引:1       下载免费PDF全文
There are some basic problems in previous theoretical studies of baroclinic instability.The derived criticalbaroclinity was considerably lower than the time averaged mean meridional temperature gradient,especially in the lowertroposphere.Also,the linear mechanism of baroclinic disturbance development which is noted restricted by the criticalbaroclinity was not studied sufficiently.The realistic critical baroclinity and disturbance development are discussed inthis study.It will be shown that the critical condition of instability and typical time and space scales of disturbances de-pend on three-dimensional structures of atmosphere and sphericity of the earth,other than the horizontal temperaturegradient alone.The variant behaviour of atmospheric disturbances depends highly on their specific scales that may bedescribed by the same theoretical model.Thus,there would be no substantial differences in the basic instability mecha-nism of many disturbances including the polar lows and explosive cyclones.  相似文献   

11.
    
Arnol′d′s second nonlinear stability criterion for motions governed by a general multilayer quasi-geostrophic model is established. The model allows arbitrary density jumps and layer thickness, and at the top and the bottom of the fluid, the boundary condition is either free or rigid. The criterion is obtained by the establishment of the upper bounds of disturbance energy and potential enstrophy in terms of the initial disturbance field. Project supported by the State Education Commission of China Project supported by the National Natural Science Foundation of China and LASG, IAP, the Chinese Academy of Sciences  相似文献   

12.
增长模在热带地区发展的分析研究   总被引:1,自引:0,他引:1  
利用T63L9全球谱模式对制作集合预报的增长模繁殖法(BGM)在热带地区的适用性进行研究,分析了在热带地区扰动增长的机理。设计与物理过程、积云对流参数化方案及湿物理过程有关的3个敏感性试验及1个控制试验。为了讨论不同物理过程对BGM生成扰动的影响,定义扰动动能变化率对试验结果进行分析。结果表明:在热带地区积云对流强盛区内风场扰动能够快速增长。扰动增长机制在热带地区与中高纬地区有本质区别,热带地区扰动的发展主要受物理过程的作用,其中模式积云对流及湿物理过程对扰动中快速增长的部分起着至关重要的作用。中高纬地区扰动发展与背景场的斜压不稳定有关。  相似文献   

13.
赵瑞星 《气象学报》1994,52(1):10-16
从对称型扰动能量方程出发,应用广义的normalmode方法,导出了不仅适用于常参数而且适用于变参数的对称不稳定判据。在热成风平衡或准热成风平衡的条件下,这个判据和Emanuel用气块法得到的判据及Hoskins使用normalmode方法得到的判据是完全一致的。还指出,在扰动的初生阶段,扰动的对称不稳定发展是和基本场能量向扰动场能量转换联系在一起的。  相似文献   

14.
In this paper,by using generalized normal mode method the symmetric instability criterion which can be used not only in the constant parameters but also in the variable parameters was derived from the energy equation on the symmetric disturbance.If the thermal wind was in balance or quasi-balance,the criterion was consistent with that obtained by Emanuel with parcel method and Hoskins with normal mode method.It is shown that in the generating stage of disturbance,the symmetrically instable development of disturbance is associated with the energy transformation by which the energy of the basic field is transferred into the energy of the disturbance field.  相似文献   

15.
陆维松 《气象学报》2001,59(6):641-651
文中提出了一个新的广义能量作为 L yapunov函数 ,导出了包含两个联立不等式的一种新的非线性正压稳定性判据。并指出其中一个不等式是初始扰动振幅小于某一临界值 ,另一个则是摩擦系数大于另一临界值 ,前者对后者有很强的约束。该判据表明 ,在实际大气中对于有限振幅扰动容易产生正压亚临界不稳定 ,它大大地改进了以前的结果  相似文献   

16.
西太平洋副热带高压非线性稳定性问题的研究   总被引:18,自引:5,他引:18       下载免费PDF全文
张韧  史汉生  喻世华 《大气科学》1995,19(6):687-700
本文采用了包含热力强迫和涡动耗散的三维非线性动力学模式,从系统稳定性的角度出发,探讨了夏季东亚副热带地区的环流状况,东亚大陆季风雨带和南海季风槽雨带的凝结加热以及扰动流的相互作用等因素对西太平洋副热带高压进退的制约和影响。给出了反映系统稳定性状况的能量判据,并据此进行了动力学分析和模式大气的计算。研究结果为一些天气分析事实提供了动力学解释,得到了一些新的见解,并为判断和预测西太平洋副热带高压在东亚上空的活动提供了参考依据。  相似文献   

17.
水平切变线上涡层不稳定理论   总被引:25,自引:4,他引:25  
高守亭  周玉淑 《气象学报》2001,59(4):393-404
文中打破了传统的 Kelvin- Helmholtz研究切变不稳定的观点 ,考虑了强涡度切变存在时切变线已构成了一个涡层 ,这时切变线的不稳定问题就变为涡层的不稳定问题。同时考虑由涡层所产生的诱导速度 ,从理论上得到了水平切变线上涡层不稳定必要条件的判据 ,即必须满足 (1 - Rv Rid) >0 ,且有 U(y,t) >U(A(t) )与之相配合。这表明环境场的配置制约着切变线上扰动的发展 ,这种中尺度扰动同环境场存在着相互作用。文中还用具体个例对如何计算不稳定必要条件做了解释和说明。  相似文献   

18.
林永辉  卢伟 《气象学报》2001,59(6):652-658
文中利用一个半位势涡度时间不变式对热带斜压大气地转适应过程中的尺度准则进行了研究。结果表明 :对深厚系统而言 ,只要初始扰动的纬圈特征尺度足够大 ,则不论其初始扰动的经圈特征尺度多大 ,适应后的压力场的变化都很大 ,而纬圈流几乎维持不变 ,压力场向纬圈流适应 ;至于浅薄系统 ,对纬圈和经圈特征尺度都很大的初始扰动而言 ,适应后的压力场易于维持 ,主要是纬圈流向压力场适应 ;但当初始扰动呈现出纬圈型扰动特征时 ,适应后的压力场变化也很大 ,压力场向纬圈流适应  相似文献   

19.
湿层结参数非常数时雨团模型中的位势不稳定   总被引:1,自引:0,他引:1  
于杰  张铭 《气象科学》2012,32(5):550-558
建立了圆柱坐标下湿层结参数在垂直方向不为常数时的非轴对称雨团数学模型,着重讨论了其中的位势不稳定问题。抽象出了暴雨发生前期、盛期和发生后的三种典型湿层结参数的垂直分布。得到了此时位势不稳定的判据,分别给出了不稳定扰动增长率与稳定扰动振荡圆频率的上、下界。并在该参数取分2段常数的情况下,进行了解析求解。得到以下结论:该模型雨团在水平方向可有螺旋结构,这与用雷达资料得到的实际情况一致。在暴雨发生前期,有位势不稳定发生;且螺旋臂条数越多,雨团半径越小,不稳定增长率的上界越大。在暴雨盛期,整层为弱位势稳定层结,无位势不稳定发生;扰动螺旋臂条数越少,半径越大,其振荡圆频率下界越大。在暴雨结束后,整层为强位势稳定层结,也无位势不稳定发生;扰动螺旋臂条数越多,半径越小,其振荡圆频率的上界越大。在该参数取为2段常数情况下,且下层与上层其分别为负、正值时,有位势不稳定发生,且雨团的螺旋臂越多、半径越小及不稳定层次越厚,其增长率越大。该不稳定雨团的垂直结构在下层大体为半个正弦波,波长随不稳定层次的增厚而增大;在上层则为指数分布,且随高度增加迅速趋于0。  相似文献   

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