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。     

小地形起伏的随机效应对地形Ｒossby慢波影响的初步分析

本文利用浅水模式讨论了小地形起伏的随机效应对地形Rossby慢波的影响,得到了一个非线性地形下的地形Rossby慢波的频率特征,并与线性地形的情形作了比较。     

缓慢移动性Rossby波与大尺度地形的近共振相互作用

通过考虑西风角动量（基本气流的二阶修正）对缓慢移动性Rossby波的反馈作用,建立起缓慢移动性Rossby波与大尺度地形近共振相互作用的理论模型,使用4阶Runge-Kutta方法对该模型进行数值计算可以发现,缓慢移动性Rossby波与大尺度地形近共振相互作用,可以使缓慢移动性Rossby波和西风角动量产生30～60 d的低频振荡。在高纬度地区（60oN）,30～60 d低频振荡主要以缓慢西移的1波为主;而在中纬度地区30～60 d低频振荡主要表现为1～3波,其中1波可以是缓慢东移的,也可以是缓慢西移的,而2波主要表现为缓慢向西移动,3波为缓慢向东移动。     

辐散风作用下低频Rossby波的能量传播

文中研究了热力强迫所激发的辐散风对低频Rossby波能量传播的影响 ,推导出辐散风作用下的Rossby波的频散关系和群速度表达式。理论分析表明 :如果扰动流函数与速度势的位相差α∈ (0 ,π) ,那么辐散风将减小Ross by波的圆频率 ,增大群速度的纬向分量 ,加速Rossby波在纬向方向上的传播 ;辐散风对经向群速度的影响是比较复杂的。波射线的分析表明 ,在纬向基本气流为常数的情况下 ,辐散风作用下的低频Rossby波从初始位置到反射纬度的传播路径表现为一段光滑的大弧 ;对于周期为 30d、纬向波数k =3,4的Rossby波 ,当辐散风减弱时 ,波能量经向传播距离和纬向传播距离都增大。对于k =3的Rossby波 ,当辐散风减弱时 ,Rossby波的经向传播范围增大 ,但振幅强度减小。     

正压准地转模式中大地形作用下的低频波

利用包含大地形和常速纬向基本气流的正压准地转位涡度方程,研究了大地形对低频波激发的作用,结果表明,起作用的地形因子主要是地形的最大高度和地形坡度。地形最大高度的作用主要是使Rossby波趋向低频,而地形坡度的作用主要是对Rossby波的稳定性起决定作用,同时适当的地形坡度也可导致低频波的形成。而常速纬向基流在总体上的作用是使波动变得趋向低频,且西风基流更有利于低频（30～60天）波的形成。从纬向波数上看,纬向3波以上的波动更容易出现低频（30～60天）。     

大地形对Rossby波波射线的影响

本文利用Ｒｕｎｇｅ－Ｋｕｔｔａ方法计算了大地形对定常、非定常低频Ｒｏｓｓｂｙ波波射线的影响，计算结果显示，地形对Ｒｏｓｓｂｙ波波射线有重要影响。对位于地形上游的波源，定常波波射线在传播过程中，遇到地形时，会绕过地形偏向高纬度传播并加密波射线，地形起阻挡屏障作用；波源位于地形中心时，东西走向的地形使波射线发生分支现象，南北走向地形没有这种现象产生。文中还计算了地形存在下，周期为５０ｄ的低频Ｒｏｓｓｂｙ波波射线。结果显示，地形对低频波波射线的影响似乎更复杂。     

地形对涡量传播和台风切向风速变化的参数敏感性

设计了一个高分辨率的浅水模式，以研究地形参数和纬向基流在涡旋Rossby波传播和台风切向风速变化中的作用。结果表明，无纬向基流条件下，岛屿地形的水平尺度对涡旋Rossby波传播的影响表现在：随地形水平方向尺度的增大，扰动涡度场环绕地形顺时针方向旋转的趋势增强，局域风速增幅减小，增强了平均风速的减弱。纬向东风基流条件下，热带气旋的局域风速及其平均切向风速的演变受台风与地形间距的改变以及地形作用时间长短的影响：当台风逐渐靠近地形时，局域风速增幅增强，平均风速逐渐减小；当台风逐渐远离地形时，出现相反的变化。     

含大地形的准地转正压模式的孤立波解

该文由修正过的含大地形的准地转正压模式方程出发,考虑青藏高原大地形的实际情况,忽略其东西向地形坡度,再利用约化摄动方法,求其孤立波解,并得到结论:当基本气流无切变时,地形是产生Rossby孤立波的必要因子。     

用Lagrange函数平均法研究非均匀基流中的地形Rossby波

本文提出可以用平均限制性变分原理来研究非均匀基流中地形对Rossby波的影响。所得到的结果与用多重尺度法相一致,但却避免了多重尺度法中的冗繁运算,而且物理意义更加清楚,诸如波作用量密度、波能密度等物理量的定义也更自然、合理。     

有关沿岸山地俘获波的研究

在采用线性化的浅水方程组并假设地形坡度沿山脉走向不变的情况下,本文对具有底面地形坡度的沿岸山地俘获波作了研究,结果表明,当底面地形缓变时,可用摄动法得到沿岸山地俘获波的结构,此时零级近似为经典Kelvin波解,一级近似体现了Rossby变形半径内的底面地形对经典Kelvin波解的修正;直至一级近似,沿岸山地俘获波仍是非频散的。在沿岸处当底面地形坡度平缓时,沿岸山地俘获波表现为Kelvin波结构,此时扰动位势高度最大值出现在沿岸;而当底面地形坡度陡峭时,其表现为修正Kelvin波结构,此时扰动位势高度最大值偏离沿岸,在沿岸则扰动位势高度相对为低值,而在沿岸外侧则有位势高度的高值。在沿岸底面地形高度越高,地形坡度越大,扰动位势高度廓线的变化就越剧烈。     

行星尺度定常波经向波列波射线路径及截获带的季节特征

本文采用平均西风廓线的实际资料，对冬夏季节遥相关经向波列特征进行了研究，本文数值分析表明，由于冬夏平均西风廓线的季节差异，遥相关波列也呈显著的季节特征:波射线的传播、截获范围、波折射率随纬度变化状态、大地形与海洋热源因子引起经向波列共振特征均表现出明显的季节差异。本文还探讨了大地形、热源因子与遥相关经向波列特征的相关关系。     

Variations in Amplitudes and Wave Energy along the Energy Dispersion Paths for Rossby Waves in the Quasigeostrophic Barotropic Model

Variations in wave energy and amplitude for Rossby waves are investigated by solving the wave energy equation for the quasigeostrophic barotropic potential vorticity model.The results suggest that compared with rays in the nondivergent barotropic model,rays in the divergent model can have enhanced meridional and zonal propagation,accompanied by a more dramatic variability in both wave energy and amplitude,which is caused by introducing the divergence effect of the free surface in the quasigeostrophic model.For rays propagating in a region enclosed by a turning latitude and a critical latitude,the wave energy approaches the maximum value inside the region,while the amplitude approaches the maximum at the turning latitude.Waves can develop when both the wave energy and amplitude increase.For rays propagating in a region enclosed by two turning latitudes,the wave energy approaches the minimum value at one turning latitude and the maximum value at the other latitude,while the total wavenumber approaches the maximum value inside the region.The resulting amplitude increases if the total wavenumber decreases or the wave energy increases more significantly and decreases if the total wavenumber increases or the wave energy decreases more significantly.The matched roles of the energy from the basic flow and the divergence of the group velocity contribute to the slightly oscillating wave energy,which causes a slightly oscillating amplitude as well as the slightly oscillating total wavenumber.     

THE LARGE-SCALE TOPOGRAPHY AND THE STABILITY OF ROSSBY WAVE IN THE BAROTROPIC ATMOSPHERE

The effects of the large-scale topography on the stability of Rossby wave are discussed by usingthe method of the multiple scale analysis. The results show that the influences of the topographywith north-south or west-east slopes on Rossby wave and energy propagation are different.     

地形对重力惯性波传播与发展的影响

本文用ＷＫＫＢＪ方法研究了地形对重力惯性波传播与发展的影响，得到了地形影响下重力惯性波的波作用量守恒方程。结果表明：重力惯性波能量有向地形较高的区域传播的趋势，并且波包振幅上坡时加大，下坡时减小。     

Seasonal Variation of Stationary and Low-Frequency Rossby Wave Rays

The wave rays and their seasonal variation of stationary and low－frequency Rossby waves are studied by using the Runge-Kutta scheme. The results show that for stationary waves the rays can reach lower latitudes in winter, and are limited in higher latitudes in summer. The main differences between the stationary and low-frequency wave rays are that low-frequency waves can propagate across the equator and the easterlies will not be an obstacle on their propagation. It explained to some extent the interaction of disturbances between the Northern and Southern Hemi-spheres. The lower wave frequencies and the stronger easterly flow are, the more difficult low-frequency waves will be to propagate across the equator. The waves with 20-day period are easier to propagate across the equator than that with 50-day period. The winter is the most favorable season for low-frequency waves to propagate into another hem-isphere.     

静力稳定度对大地形降水影响的数值模拟研究

利用ARPS模式,通过调节过大地形山脉的湿大气静力稳定度进行敏感性试验,研究了湿大气静力稳定度对大地形降水的影响。结果表明,湿大气静力稳定度的改变影响了地形重力波的形成、维持和传播机制。当静力稳定度偏小时,地形重力波容易破碎,得不到有效维持;当静力稳定度偏大时,地形重力波又不易形成;仅当静力稳定度达到适合的强度时,地形重力波才能得到有效维持和传播。此外,垂直上升速度分布、辐合辐散运动及水汽的凝结输送等是影响大地形降水强度及分布状况的重要因素。     

Group velocity of anisotropie waves—Part II: Conservative properties

It has been argued in Part I that traditional expression of multidimensional group velocity used in meteorology is only applicable for isotropic waves. While for anisotropic waves, it cannot manifest propagation of waves group along the trajectory of a reference wave point, and varies with rotation of coordinates. The general mathematical ex-pression of group velocity which may be used also for anisotropic waves has been derived in Part I. It will be proved that the mean wave energy, momentum and wave action density are all conserved as a wave group propagates at the general group velocity. Since general group velocity represents the movement of a reference point in either isotropic or anisotropic wave trains, it may be used to define wave rays. The variations of wave parameters along the rays in a slowly varying environment are represented by ray-tracing equations. Using the general group velocity, we may de-rive the anisotropic ray-tracing equations, which give the traditional ray-tracing equations for isotropic waves.     

EFFECTS OF TOPOGRAPHY ON PROPAGATION AND DEVELOPMENT OF INERTIA GRAVITY WAVE

Effects of topography on the propagation and development of inertia gravity waves areinvestigated by means of WKBJ method.The equation of wave action conservation is obtained.It isfound that the inertia gravity wave tends to propagate to the higher elevation area,meanwhile theamplitudes of the waves increase.While the inertia gravity waves propagate to a lower elevation area,their amplitudes decrease.