纬向气流对地形Rossby波的影响

本文在半地转近似下,采用相平面方法讨论了纬向基本气流对线性和非线性地形Rossby波的稳定性及解的性质的影响。结果指出:线性和非线性稳定性判据形式一样,纬向气流及其切变对稳定性有明显影响;在非线性近似下,可形成孤立波槽和孤立波脊。     

A problem related to nonlinear stability criteria for multi- layer quasi-geostrophic flow

The second author studied the nonlinear stability of N-layer quasi－geostrophic flow subject to perturbations of parameters and initial data, and established the stability criteria for the flow in question, which involve finding out the lowest eigenvalue of an elliptic boundary value problem.In this paper when the domain is a periodic zonal channel, a formula of the lowest eigenvalue is established, which is useful for further studies and practical applications.     

Some effects of truncation on topographic instability

Abstract

The topographic stability of forced planetary waves in α β‐channel is investigated using a barotropic model. The equilibrium forced waves are the result of the interaction of a constant mean zonal wind over finite‐amplitude surface orography. Small‐amplitude perturbations of the equilibrium flows are considered that have a wavy part with the same zonal wavenumber as the forcing but an arbitrary meridional structure. The mean zonal part of the perturbations is also taken to be arbitrary. This configuration allows us to (1) isolate those instabilities that depend crucially on topography through form drag and (2) investigate non‐topographic effects on topographic instability that arise from the convergence of Reynolds stresses. A numerical stability analysis is then performed wherein the effects of truncation are emphasized.

This numerical approach casts doubts about the results obtained from some earlier studies involving various ad hoc assumptions. We find, in particular, that unstable long waves (i.e. waves with the zonal wavelength greater than the meridional wavelength) exist under superresonant conditions. This contradicts some previous results that suggest long waves are unstable only when the flow is subresonant. Further, our model reveals the existence of some interesting travelling instabilities. The latter are shown to depend on both form drag and Reynolds stresses in that these two mechanisms alternate in time in supplying the perturbation with the required energy to maintain the exponential growth.     

The effects of latitudinal asymmetries on baroclinic instability

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.     

初始扰动垂直结构对热带斜压大气半地转适应过程的影响

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     

Nonlinear stability analysis of the zonal flows at middle and high latitudes

An attempt has been made to apply Arnol’d type nonlinear stability criteria to the diagnostic study of the persistence (stability) or breakdown (instability) of the atmospheric flows. In the case of the blocking high, the cut-off low and the zonal flow, the relationships of the geostrophic stream function versus the po-tential vorticity of the observed atmosphere are analyzed, which indicates that Arnol'd second type nonlinear stability theorem is more relevant to the observed atmosphere than the first one. For both the sta-ble and unstable zonal flows, Arnol’d second type nonlinear stability criteria are applied to the diagnosis. The primary results show that our analyses correspond well to the evolution of the atmospheric motions. The synoptically stable zonal flows satisfy Arnol'd second type nonlinear stability criteria; while the synoptically unstable ones violate the nonlinear stability criteria.     

非线性正压亚临界不稳定

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     

Solitary Rossby waves over variable relief and their stability. Part I: The analytical theory

Nonlinear permanent form solutions have been found for the barotropic, quasi-geostrophic divergenceless vorticity equation describing large scale, rotating flows over zonal relief. In the linear limit these solutions are topographic Rossby waves. The analytical procedure is an expansion in two small dimensionless parameters, an amplitude parameter (the Rossby number) and the aspect ratio between North-South (cross-relief) and East-West length scales. Permanent form solutions exist when these two parameters, and the related effects of dispersion and nonlinearity, mutually balance. By the same expansion procedure, an analytical linearized stability theory has been formulated which proves the neutral stability of these solutions to infinitesimal, two-dimensional perturbations.     

The effects of zonal flow on nonlinear Rossby waves

In this paper, we using phase plane method have derived the stability criteria of linear and nonlinear Rossby waves under the conditions of semi-geostrophic approximation and have gotten the solutions and geostrophic vorticity of corresponding solitary Rossby waves. It is pointed out that the wave stability is connected with the distri-bution of zonal flow and when the zonal flow is different the solitary wave trough or ridge is formed.     

Stratospheric temperature trends: impact of ozone variability and the QBO

In most climate simulations used by the Intergovernmental Panel on Climate Change 2007 fourth assessment report, stratospheric processes are only poorly represented. For example, climatological or simple specifications of time-varying ozone concentrations are imposed and the quasi-biennial oscillation (QBO) of equatorial stratospheric zonal wind is absent. Here we investigate the impact of an improved stratospheric representation using two sets of perturbed simulations with the Hadley Centre coupled ocean atmosphere model HadGEM1 with natural and anthropogenic forcings for the 1979–2003 period. In the first set of simulations, the usual zonal mean ozone climatology with superimposed trends is replaced with a time series of observed zonal mean ozone distributions that includes interannual variability associated with the solar cycle, QBO and volcanic eruptions. In addition to this, the second set of perturbed simulations includes a scheme in which the stratospheric zonal wind in the tropics is relaxed to appropriate zonal mean values obtained from the ERA-40 re-analysis, thus forcing a QBO. Both of these changes are applied strictly to the stratosphere only. The improved ozone field results in an improved simulation of the stepwise temperature transitions observed in the lower stratosphere in the aftermath of the two major recent volcanic eruptions. The contribution of the solar cycle signal in the ozone field to this improved representation of the stepwise cooling is discussed. The improved ozone field and also the QBO result in an improved simulation of observed trends, both globally and at tropical latitudes. The Eulerian upwelling in the lower stratosphere in the equatorial region is enhanced by the improved ozone field and is affected by the QBO relaxation, yet neither induces a significant change in the upwelling trend.     

Upgrades to the Boundary-Layer Scheme in the Met Office Numerical Weather Prediction Model

Recent upgrades to the boundary-layer scheme in the UK Met Office operational global Numerical Weather Prediction model are documented. These comprise a reduction in turbulent mixing in stable conditions over the sea, and the inclusion of non-local momentum mixing in convective conditions. The dependence of low-level winds on changing stability is shown to have been significantly improved. Crucially, it is also found that these improvements in local performance have been achieved without degrading the model skill in terms of synoptic evolution—something that has proved difficult to achieve in the past in many operational models. In fact some aspects of the large-scale flow (e.g. zonal mean winds) have been slightly improved.     

理查逊数和晴空颠簸的关系

对切变气流中重力内波的稳定性进行了数值计算，结果表明，判别晴空颠是否发生的临界Ｒｉ数随波长，层结稳定度和基本气流变强度的不同而有所变化，预报业务中用Ｒｉ〈０．２５作为预报晴空的指标易出现空报。     

A description of numerical antarctic circumpolar currents

A sequence of numerical calculations has been made for the equilibrium balances of eddies and mean currents in open and partially blocked, periodic channels. The physical model employed is a two-layer, quasigeostrophic, wind-driven one, with important bottom friction and weak lateral friction. The resolved eddies provide the interior fluxes of momentum and potential vorticity which allow the mean state to be a balanced one. The set of calculations does not provide a parameter study as such, but does provide examples of the influences of alternative physical processes and geometrical constraints. These alternatives include the presence or absence of a partial barrier across the channel, the length of the channel, the addition of a transient component to the wind-driving, and the addition of a topographic sill across the channel gap. Particular attention is focused upon the steadily driven general circulation of a β-plane channel, because of the structural simplicity of the solution. The results may be broadly summarized as follows. The eddies are generated by a baroclinic instability of the mean flow. They act to intensity the upper layer mean jet and mean cross-jet potential vorticity gradient (through eddy horizontal Reynolds stress and relative vorticity flux divergence, respectively) and to transfer downwards mean zonal momentum, energy, and potential vorticity gradient (through eddy interfacial pressure drag, vertical pressure work, and vortex stretching flux divergence, respectively). In the case of a zonally uniform channel, the meridional heat flux is found not to conform closely to previously proposed parameterizations. The presence of a partial meridional barrier and a topographic obstacle are found to strongly influence the equilibrium solution, while neither a change in the basin length nor the presence of a transient wind component appear to importantly alter the solution.     

CHARACTERISTICS OF ATMOSPHERIC HEAT SOURCE ASSOCIATED WITH THE SUMMER MONSOON ONSET OVER THE SOUTH CHINA SEA AND THE POSSIBLE MECHANISM RESPONSIBLE FOR ITS LATE OR EARLY ONSET

The characteristics of atmospheric heat source associated with the summer monsoon onset in the South China Sea (SCS) are studied using ECMWF reanalysis data from 1979 to 1993. A criterion of the SCS summer monsoon onset is defined by the atmospheric hea…     

气象场相关结构对EOFs展开稳定性的影响

本文从矩阵扰动理论出发,提出利用矩阵的范数(norm)作为度量气象场随机扰动的稳定性指标,并由此间接推估EOFs展开的稳定性。经理论论证、数值试验和实例计算表明,气象场的相关性越好,达到稳定相关结构所需样本越小,由此得到的EOFs稳定性也越好,反之则不然。上述规律又直接受样本大小n和站点数目p的影响。对于不同的气象场来说,达到稳定EOFs的样本临界值不同,必须警惕EOFs展开有可能不是稳定的。     

华南前汛期的锋面降水和夏季风降水 I.划分日期的确定

前汛期暴雨常常引发华南地区的洪涝,但是前汛期降水的预报能力却相当低。降水的预报在很大程度上依赖于对降水性质的理解,而华南前汛期降水通常被认为只是锋面性质的降水。事实上,南海夏季风在6月(甚至5月)就可以影响到华南地区并产生季风对流降水。因此,华南前汛期包含了两种不同性质的降水,即锋面降水和夏季风降水,如何区分它们是非常重要的。为了区分它们,利用NCEP/NCAR再分析资料、CMAP资料和中国730站降水资料,分析气候平均(1971~2000年)状态下锋面降水和季风降水期间大气性质和特征的差异,得到华南前汛期夏季风降水开始的基本判据:100 hPa纬向风由西风转为东风并维持5天以上。利用该判据得出气候平均条件下的华南夏季风降水开始于5月24日,并得到1951~2004年逐年华南前汛期锋面降水和季风降水的划分日期。合成分析的结果表明,得到的划分日期是基本合理的,因为它将锋面降水和季风降水期间大气特点的显著差别区分开来。     

Three-dimensional perspectives of the Florida current: transport, potential vorticity, and related dynamical properties

The Florida Current flows through the Straits of Florida, which starts as a zonal channel and turns to become a meridional channel. The spatial structure of the Florida Current and its transport, potential vorticity, and related dynamical properties are investigated using a three-dimensional, baroclinic, primitive equation model with a mesoscale-admitting (5.6 km) horizontal resolution and 25 vertical (sigma: terrain-following) levels. At 83°W, the Florida Current fills only a portion of the channel; however, due to the interaction with the shoaling bottom topography (from a maximum depth of over 2000 m at 83°W to less than 800 m at 27°N) and the narrowing Straits of Florida (from a maximum width of about 170 km at 83°W to about 110 km at 27°N), the Florida Current fills the entire channel at 27°N, and the potential vorticity distribution is altered. The specified transport of 28.6 Sverdrup (1 Sv = 10⁶ m³ s⁻¹) from the Loop Current at the western boundary and the inflow from the Old Bahama Channel of 1.9 Sv converge into the meridional channel. With an additional inflow of 1.2 Sv from the Northwest Providence Channel, the simulated total transport of 31.8 Sv at 27°N is comparable to the STACS (Subtropical Atlantic Climate Studies) mean transport of 31.7 Sv. Both vertically and laterally integrated subsectional transports are examined at transects 83°W, 82°W, 81°W, 25°N, 26°N, and 27°N. The potential vorticity increases (decreases) on the cyclonic (anticyclonic) side of the Florida Current at 27°N compared to 83°W. The downstream variation of static stability, relative vorticity, and Froude number is also examined. While the vertical shear is strong only on the northern side at 83°W it is comparable on the both western and eastern sides downstream at 27°N, reaching to the bottom of the meridional channel. Large values of the Froude number exist only in the upper 300 m of the zonal channel, but they reach to the bottom of the meridional channel.     

基于声光信号的单站式闪电三维通道定位系统

目前基于雷声的三维定位系统多停留在实验阶段,从业务化运行的角度考虑,改进了单站式闪电三维定位系统的麦克风阵列,设计了定位算法,利用该系统采集了2014年夏季南京地区的部分闪电数据,并从计算耗时的角度对三维通道实时定位的可行性进行了研究。结果表明,基于声光信号的单站式闪电三维通道定位系统可重构闪电的三维通道;对连续的雷声信号进行分帧,帧长取0.03 s时,声源定位点可描绘出清晰的闪电主通道;采用分组保存和处理闪电声光信号的方法,可实现实时定位,当一组数据的保存时间为50 s时,计算耗时为46.507 s。     

THE FOUNDATION AND MOVEMENT OF TROPICAL SEMI-GEOSTROPHIC ADAPTATION

The breakdown and foundation of geostrophic balance is one of the important movements inthe mid-and high-latitude atmosphere and oceans.In the tropical area,the value of Coriolis pa-rameter is so small that it is difficult to satisfy the bi-geostrophic equilibrium between the pressureand velocity fields.However,in the tropical area,the zonal velocity of some motions in the atmo-sphere and oceans is large,so the Coriolis force is not small,geostrophic balance can exist in zonaldirection,i.e.semi-geostrophic balance.Furthermore,in the dominant area of Hadley circulationin the atmosphere or the area near the ocean meridional boundary,the meridional velocity is large,so geostrophic balance can also exist in meridional direction.In this paper,the process of the dis-persion of inertial gravity wave and the foundation of semi-geostrophic balance are first discussed.Second,the adjustment process between the velocity and pressure fields after adaptation is alsoviewed,and the scale criterion of the semi-geostrophic adaptation is discussed,i.e.for the motionwith meridional scale greater than the equatorial Rossby radius of deformation,the velocity andpressure fields after adaptation change to fit the initial pressure field;on the contrary,the fieldschange to fit the initial zonal velocity field,and the strength of the fields after adaptation dependson the zonal scale.     

Extreme monsoons over East Asia: Possible role of Indian Ocean Zonal Mode

Summary The influence of the Indian Ocean Zonal Mode on the extreme summer monsoon rainfall over East Asia (China, Korea, Japan) has been investigated applying simple statistical techniques of correlation and composite analysis. While the observed rainfall data are used as a measure of rainfall activity, the NCEP-NCAR Reanalysis data are used to examine the circulation features associated with the extreme monsoon phases and the dynamics of the zonal mode – monsoon variability connections. The data used covers the period 1960 to 2000.The equatorial Indian Ocean is dominated by westerly winds blowing towards Indonesia. However, during the positive phase of the zonal mode, an anomalous, intensified easterly flow prevails, consistent with the positive (negative) sea surface temperature anomalies over the western (southeastern) equatorial Indian Ocean. This positive phase of the zonal mode enhances summer monsoon activity over China, but suppresses the monsoon activity over the Korea-Japan sector, 3 to 4 seasons later. The relationship is more consistent and stronger over the Korea-Japan region than over China.The Indian Ocean influences the monsoon variability over East Asia via the northern hemisphere mid-latitudes or via the eastern Indian Ocean/west Pacific route. The monsoon-desert mechanism induces strong subsidence northwest of India due to the anomalous convection over the Indian Ocean region associated with the positive phase of the zonal mode. This induces a zonal wave pattern over the mid-latitudes of Asia propagating eastwards and displacing the north Pacific subtropical high over East Asia. The warming over the eastern Indian Ocean/west Pacific inhibits the westward extension of the north Pacific sub-tropical high. The location and shape of this high plays a dominant role in the monsoon variability over East Asia. The memory for delayed impact, three to four seasons later, could be carried by the surface boundary conditions of Eurasian snow cover via the northern channel or the equatorial SSTs near the Indonesian Through Flow via the southern channel.