Hamilton函数与非线性地形波

本文利用Hamilton函数求得包含地形的半地转正压模式中存在有限振幅周期波解与孤立波解的条件，并给出了波解的解析式，得到一些有意义的结果。     

简单海气耦合的线性和非线性Rossby波

采用忽略Ｒｅｙｌｅｉｇｈ摩擦和Ｎｏｗｔｏｎ冷却的定常，线性大气模式和地转动量近似下的非线性海洋模式。这里包含了大气通过线性风应力影响海洋，海洋通过加热过程影响大气的物理机制。用相平面理论讨论了海气耦合作用对简单耦合线Ｒｏｓｓｂｙ波和非线性Ｒｏｓｓｂｙ波的影响。     

飓风中的涡旋罗斯贝波

文中从柱坐标系下的正压无辐散涡度方程出发,用WKBJ方法求解方程,发现在飓风中存在类似于行星罗斯贝波的涡旋罗斯贝波,这种波的形成主要是由于飓风中基态涡度垂直分量的径向梯度所决定。利用一次飓风过程的精确数值模拟所输出高分辨的资料,计算了飓风中径向涡度梯度的分布,指出这类波动主要存在于眼墙和眼心中。波动结构分析表明,波动能量具有径向频散,这有可能是飓风暖心结构的一种形成机制。最后用波射线法讨论了定常涡旋罗斯贝波的径向频散     

从牛顿力学认识罗斯贝波的振荡机理及其回复力

蔡鸣和黄渤华[1]近期对罗斯贝波形成机制提出了一个全新的物理解释:对地转流而言,科氏参数纬向变化与地形坡度一样,起着机械障碍作用,可使沿上坡(下坡)方向的地转流产生质量辐合(辐散)。由于不能继续沿等压线上(下)坡流动,部分由机械障碍所引起的质量辐合(辐散)会导致上坡区(下坡区)气压升高(降低),剩余部分则改道穿越等压线,转为非平衡流。由机械障碍激发的非平衡流又会受到科氏力作用。当科氏力将非平衡流转向与等压线平行时,作用在被转向气流的科氏力已与原上坡区(下坡区)的气压升高(降低)后所产生的气压梯度力平衡,于是科氏力不再继续起转向功能,也就是说科氏力的转向功能仅发挥了一半,便与气压变化的水平梯度平衡了。由非平衡流变为与等压线平行气流,从而形成新的上坡(下坡)地转流,完成一轮完整振荡。这种振荡包含了"障碍物"所激发的质量辐合/辐散及因其而改道穿越等压线的非平衡流,以及半周期科氏转向,故称为"机械-科氏振荡",其回复力为"障碍物激发的半周期科氏力"。经历一个完整振荡循环后,在北(南)半球面朝上(下)坡方向,与新气压场平衡的新地转上下坡流型将出现在原地转上下坡流型的左侧。而科氏参数引起的"β-障碍"在南北半球均沿各自的极地方向抬升,因此该振荡激发的波型,即罗斯贝波,总是向西传播。     

正压大气中地形波与自由Rossby波的四波准共振

本文研究了正压大气中一个地形波与三个自由Rossby波的四波准共振动力学特征。由含大地形的准地转正压涡度方程，引入双时间尺度，导得了地用波与自由Rossby波的四波准共振耦合方程组，并求得其低频周期解．由数值计算表明，对于Charney所用地形高度，此解正是准双周振荡。大地形强迫是激发三个自由Rossby波相互输送能量的重要物理机制，使得二个自由Rossby波同时向第3个2波型自由Rossby波输送能量以形成准双周振荡或阻塞。这一结果与观测事实也比较一致。     

地形对低空地转基流中波动稳定性影响的进一步研究

用一个带地形的两层均质流体线性模式，考虑了下层流体平均厚度不均匀性的影响，研究了低空地转气流中波动的传播和稳定性。     

地形对地转气流中重力惯性波稳定性影响的进一步研究

用一个带地形的2层均质流体线性模式,考虑了下层流体平均厚度不均匀性的影响,研究低空地转气流中波动的传播和稳定性。     

大地形上空地转基流中波动的传播和稳定性

研究表明，地形北坡上空东风基本气流中的重力惯性波最易出现不稳定发展，地形坡度大于１‰的地形南坡上空强西风气流中重力惯性波和地形罗斯贝波都是不稳定的。只有在西风气流中重力惯性波才会出现明显的相对基本气流的东、西传播现象。     

纬向切变基流中的非线性Rossby波

本文在半地转近似下讨论了纬向切变基流中的非线性正压Ｒｏｓｓｂｙ波，给出了存在波解的切变基流条件。     

三维地形的波动阻力

该文采用２层模式得出３缩简单地形引起的波动动量能量的解析表达式，解析解表达了边界层上部稳定大气中层结和风速对波动阻力的影响，同时也表达了地形非各向同性的作用。     

Cross-equatorial structures of equatorially trapped nonlinear Rossby waves

Analysis of the Sea Surface Height (SSH) from satellite altimeters has shown that equatorially trapped Rossby waves exhibit asymmetric cross-equatorial structures; their northern extrema are much larger in magnitude than their southern counterparts. Such asymmetry is inconsistent with the classical theory for the first baroclinic, first meridional equatorially trapped Rossby mode, which predicts that SSH and zonal velocity are symmetric in latitude and the meridional velocity is latitudinally antisymmetric (Matsuno, 1966). Chelton et al. (2003) attributed the observed asymmetry to the mean-shear-induced modifications of first meridional mode Rossby waves. The present paper examines nonlinear rectification of cross-equatorial wave structures in the presence of different zonal mean currents. Nonlinear traveling Rossby waves embedded in shears are calculated numerically in a 1.5-layer model. Nonlinearity is shown to increase the cross-equatorial asymmetry substantially making the northern extrema even more pronounced. However, nonlinearity only slightly increases the magnitude of the westward phase speed.     

Oscillatory Rossby Solitary Waves in the Atmosphere

The linear Rossby wave frequency expression is expanded at higher accuracy based on the scale difference char?acteristics of atmospheric long waves in the and directions. That the nature of the waves represented by the expan?sion is identical to that of the original ones is demonstrated both in phase velocity and wave energy dispersion speed , followed by the derivation of the nonlinear expression describing atmospheric long wave behaviors with the associated approximate analytic solution obtained. Then, for the first time atmospheric’ oscillatory Rossby solitary wave’ with its dispersion relation is obtained by numerical calculation with the aid of physical parameters of the real atmosphere. The solitary wave is found to be very close to such longwave systems as blocking highs and cut-off de?pressions in the actual atmosphere.     

非线性涡旋Rossby波的演变特征

利用多重尺度摄动法，推导出非线性涡旋Rossby波波包的演变方程是非线性Schroedinger方程。对该非线性Schroedinger方程的周期波动解及其稳定性进行了研究，得到了有关稳定和不稳定的判据。数值计算表明：非线性涡旋Rossby波的相速值为10^0m／s量级，这和台风中的螺旋雨带实测移速的量级是一致的，可以从涡旋Rossby波说中较好地解释台风中的螺旋雨带的形成和维持。     

冬季与北大西洋涛动相关Rossby波列传播特征及对下游气候的影响

利用再分析数据,以在北半球冬季与北大西洋涛动(North Atlantic Oscillation,NAO)相关的向下游传播的准定常波列在欧洲地区是否发生反射为标准,将1957/1958年至2001/2002年这45个冬季分为高纬型和低纬型两类冬季,分别简称为在H型和L型冬季。在H(L)型冬季,和NAO相联系的向下游传播的Rossby波列主要沿高纬度(低纬度)路径传播。对比了在两种类型冬季NAO与同期大气环流、近地面温度(Surface Air Temperature,SAT)、海表面温度(Sea Surface Tempertaure,SST)和降水的关系。结果表明:大气环流方面,在H型冬季,300 hPa位势高度异常在西-西伯利亚和中-西伯利亚西部与NAO呈现正相关,而在L型冬季300 hPa位势高度异常在亚洲东海岸(约40°N)和北太平洋呈现正相关,在H型冬季与NAO相关的经向风异常在中纬度形成波列,而在L型冬季与NAO相关的经向风异常在副热带形成波列;SAT方面,在H型冬季SAT异常在欧亚大陆腹地高纬度地区与NAO呈现正相关,而在L型冬季与NAO相关的SAT异常在欧亚大陆腹地的高纬度地区相对较弱,但NAO造成的SAT异常可以扩展到亚洲东北部;降水方面,H型冬季与L型冬季主要区别在中国南方,在H型冬季降水异常与NAO的关系相对较弱,而在L型冬季降水异常与NAO呈现正相关关系;SST方面,同期SST异常在北大西洋中纬度海域与NAO呈现正相关,而在L型冬季与NAO相关的SST异常在北大西洋中纬度地区相对较弱,在北大西洋北部和南部较强。总体而言,在H型和L型冬季,NAO具有不同下游影响。     

考虑β随纬度变化下的Rossby孤立波与偶极子阻塞

利用文献[4]得到的推广的β平面近似式为f=f0+β0 y—（δ0/2）y2,研究由δ0项所引起的一类Rossby孤立波,而不考虑基流切变和地形等因子的作用。经过计算可以发现,当经向波数为1时,这种孤立波具有显著的南低北高的偶极子阻塞结构,它主要存在于弱西风气流中,并且偶极子的能量随着纬度的增高更容易集中(即高纬偶极子结构趋于局地化),因而,β随纬度的变化可能是中高纬度地区偶极子阻塞产生的原因之一。     

Rossby波的发展与结构变化

本文采用ＷＫＢ方法,讨论了地形正压Ｒｏｓｓｂｙ波的发展与结构变化问题。指出波动的发展和衰减不仅与波幅和波长的增减有关,还与波的结构状态有关。     

A modeling study on the effects of MJO and equatorial Rossby waves on tropical cyclone genesis over the western North Pacific in June 2004

This study investigates the influence of the Madden Julian oscillations (MJO) and equatorial Rossby (ER) waves on tropical cyclone (TC) formation in western Pacific during June 2004 through one control and three wave experiments for each of the five TCs. The control experiment reasonably simulates the formation of five TCs. In the corresponding wave experiments, the MJO, ER waves, and both the MJO and ER waves are removed, from the initial fields and lateral boundary conditions, respectively. The differences of simulated TC intensity between the control and corresponding wave experiments provide a quantitative assessment of the relative contribution of each wave to TC formation.In the wave experiments with the MJO removed, three of the five TCs are weakened, and the remaining two (TC A and B) grow stronger due to an altered background flow that steered the TCs into more favorable oceanic regions. For the wave experiments with ER waves removed, three of the five simulated TCs become weaker (TC A, C, and E). TC D develops into a tropical storm because of a dominant influence from active synoptic-scale disturbance. The results indicate that both the MJO and ER waves have an important modulating effect on TC formation. In addition to the influence from the MJO, ER and synoptic-scale waves, local processes may dominate in TC formation; for the example of TC B, none of the waves positively influence the formation in significant ways. The present modeling approach provides a quantitative assessment of the relative contribution of tropical wave disturbances to TC formation.     

全球扰动的结构、演变及其球面Rossby波包表示

利用按谱函数展开的方法,计算和分析了正压球面Rossby波的连续谱和离散谱的波包结构、演变和传播特征,发现无论是结构、演变还是传播,连续谱波包和离散谱波包都很不相同.连续谱波包的传播速度不仅大小而且方向都随纬度变化;离散谱波包的传播速度只有大小随纬度变化,其方向在任何纬度上都是向西的.连续谱的波包和离散谱的波包在初始时刻虽然都表现为子午圈上不规则的波动,但随着时间的增加,二者的变化规律不同,连续谱的波包具有局部特征,主要表现在两个半球的中高纬地区,且随时间振幅迅速衰减;而离散谱的波包具有全球性质.将二者与整个扰动波包进行比较,发现:在中高纬度地区,连续谱波包的结构与扰动波包的结构相似,而在赤道地区,离散谱的波包与扰动波包相似.     

Acoustic thermometry data compared with two ocean models: the importance of Rossby waves and ENSO in modifying the ocean interior

An interpretation is made of interannual changes in acoustic travel time between Oahu and seven receivers at distances of 3000–4000 km. Measurements were made in late 1983, and over two 5-month intervals between 1987 and 1989. Previous publications demonstrated that these changes stem from variations in temperature. Two hydrodynamic ocean models are used to identify plausible oceanic features that could cause these variations. They are from the Naval Research Laboratory and the Florida State University at (1/8)° and (1/6)° resolution, respectively, and are forced with different interannual wind sets for more than a decade. Modelled El Niño's and La Niña's generate poleward travelling Kelvin waves on the eastern boundary of the Pacific. These excite Rossby waves that propagate westward at mid-latitudes. Rossby waves are the dominant model features which affect the modelled acoustic travel times, and hence section-averaged temperatures in the eastern North Pacific. These waves yield travel times whose standard deviations and rates of changes are similar to the measurements. In the observations, some sections separated by less than 500 km exhibit trends in heat content with opposite signs. Similar variability can be explained with modelled Rossby waves. Model wavelengths less than 500 km, eddies, and seasonal cycles induced by seasonal winds yield travel times that are two orders of magnitude too small to account for the data.     

大气动力学中三种Rossby波作用通量的特征差异和适用性比较

大气动力学诊断Rossby波的传播时,通常用波作用通量来表示。常用的三种波作用通量分别为Plumb波作用通量,T-N波作用通量和局地E-P通量。本文详细讨论了这三种方法的特征差异,并结合2016年1月的一次寒潮事件,比较了三种方法在该事件中的适用性。结果表明:1)Plumb波作用通量的纬向分量较大而经向分量较小,适用于振幅较小的纬向均匀的西风带Rossby长波的诊断。2)T-N波作用通量是对Plumb波作用通量的改进,经向分量得以增强,能更好地描述纬向非均匀气流中的较大振幅的西风带Rossby长波扰动。T-N波作用通量计算时,背景场取多年平均的当月气候场较合适,能更好地反映当前季节内的Rossby波传播异常。3)局地E-P通量可以诊断一段时间内天气尺度瞬变波对背景场(定常波)总的调控作用,但无法直接反映Rossby长波的逐时演变(T-N波或Plumb波作用通量则可以)。