低纬大气Kelvin波和Rossby波的非线性相互作用

利用多重尺度摄动法,对低纬大气Kelvin波和Rossby波的波包演变进行了分析,得到两波的非线性相互作用方程为耦合的非线性复系数Landau方程组。数值计算表明两波相遇将使波振幅变化,波宽变窄;两波非线性相互作用可能是低纬强烈天气突然爆发的原因之一。     

强迫耗散作用下的Rossby包络孤立波及其相互作用

本文讨论了强迫和耗散对Rossby包络孤立波的影响，得到了在强迫和耗散共同作用下，当准共振条件和锁相条件满足时，包络孤立波从外场那里获取能量来克服耗散并形成稳定的锁相包络孤立波。本文还研究了在强迫和耗散作用下两个包络孤立波的碰撞相互作用，发现在某些参数下，两波碰撞后性质变化不大，而在另外一些参数下，碰撞后两波性质显著改变。     

垂直切变基流中东西向地形对惯性重力波稳定性的影响

利用分层浅水波方程和小参数(WKB)方法,考虑具有垂直切变的基流和地形的作用,求得惯性重力波的局地频率方程,并根据此方程分析讨论了在多种环境条件下波动的稳定性情况。     

MESOSCALE NONLINEAR GRAVITATIONAL WAVES AND THEIR INTERACTION IN VERTICAL SHEAR FLOW*

Interaction equations of two nonlinear gravitational waves in baroclinic atmosphere are presented via multi-scale perturbation method,which can be classified into coupling nonlinear Schrodinger equations.In particular,the interaction course of two nonlinear gravitational waves of basic flow in vertical linear and quadratic shear is illustrated.Numerical calculation displays that wave amplitude enlarges and wave width narrows when two solitary gravitational waves meet and chase;that basic flow with single shear is more beneficial than that with quadratic shear to the interaction of two nonlinear wave packets;and that the interaction of two wave packets makes wave shape change more greatly and energy more dispersive,which contributes to the occurrence of changeable weather.Therefore,one of the probable mechanisms for the appearance of strong convection weather is the interaction between mesoscale nonlinear gravitational waves.     

基本气流的垂直切变作用下的低纬低频波

在低纬地区,风速的垂直切变也是很明显的,作者解释了这些纬向气流的垂直切变对低纬长波性质以及对不同模态的相互作用的影响,并且发现切变对低纬波动的影响具有明显的选择性.     

全球谱模式不同垂直分层对纬向基本气流和行星尺度波动物理量的影响

本文用σ坐标原始方程全球谱模式，对１９７９年１月２３日个例，采用３种不同的垂直分层方案，实行了５天积分，输出了若干模式诊断物理量。发现提高了模式顶高度和增加垂直分辨率的１５层模式，对北半球冬季行星尺度波动的水平感热通量、波数１的振幅强度以及对流层西风急流强度的预报均有明显地改进，与实况符合很好。     

简单热带海气耦合模式中的耦合波及其不稳定性（I）

本文建立了一个简单的热带海气耦合模式，模式大气和海洋中包含了Kelvin波和长Rossby波。在赤道β平面近似下，讨论了取耦合系统中最大径向模时，即大气和海洋中只存在Kelvin波时耦合波的性质。结果指出，向东传的耦合Kelvin波可以出现不稳定性，并且由于海气相互作用，在长波部分可以产生向西传的耦合Kelvin波。 耦合Kelvin波的性质与模式中所选用的参数有很大关系，当大气与海洋中自由波的频率相差很大时，耦合波的性质与没有海气相互作用时自由波的性质非常接近；只有当大气与海洋中自由波的频率相差不太大时     

正压模式中慢波的离散谱及其特征函数

本文对正压模式中慢波的离散谱及其特征函数作了数值计算。结果发现，在低速线性缓变切变基流的情形下，正压原始方程中慢波可有离散谱存在。本文还给出了在该基流下算得的谱点和特征函数，并与准地转模式的计算结果进行了比较。     

Nonlinear oscillations of semigeostrophic Eady waves in the presence of diffusivity

Analyses are performed to examine the physical processes involved in nonlinear oscillations of Eady baxoclinic waves obtained from viscous semigeostrophic models with two types of boundary conditions (free-slip and non-slip). By comparing with previous studies for the case of the free-slip boundary condition, it is shown that the nonlinear oscillations are produced mainly by the interaction between the baroclinic wave and zonal-mean state (total zonal-mean flow velocity and buoyancy stratification) but the timescale of the nonlinear oscillations is largely controlled by the diffusivity. When the boundary condition is non-slip, the nonlinear oscillations are further damped and slowed by the diffusive process. Since the free-slip (non-slip) boundary condition is the zero drag (infinite drag) limit of the more realistic drag boundary condition,the nonlinear oscillations obtained with the two types of boundary conditions are two extremes for more realistic nonlinear oscillations.     

Variable Coefficient KdV Equation for Amplitude of Nonlinear Solitary Rossby Waves in a Sort of Time-Dependent Zonal Flow

On the basis of the quasi-geostrophic vorticity equation, theoretical research has been down upon the evolution of the amplitude of solitary Rossby waves employing the perturbation method, and come to the conclusion that the evolution of the amplitude satisfies the variable coefficient Korteweg-de Vries (KdV) equation.