INFLUENCES OF TOPOGRAPHY ON BAROCLINIC SOLITARY ROSSBY WAVES IN A MULTILEVEL MODEL

The KdV equation with topography included in an N-level model is derived. It is shown that if the topography ex-ists. the KdV equation may describe the solitary Rossby waves in the case of basic current without vertical shear, and itis no necessary to introduce the MKdV equation. The results of calculations show that the change of horizontal shearpattern of basic flow may cause an important change of the streamline pattern of the solitary waves with the oddmeridional wavenumber m, and has no effect for the even meridional wavenumber m. The vertical shear increases thesteepness of the barotropic solitary modes, and it has a complicated effect on the baroclinic modes. The influences oftopographic slope on the solitary waves are very great. The southern and northern slopes of topography may cause dif-ferent solitary wave patterns, with the effect of northern slope greater. The effect of Froude number on the solitarywaves is generally to steepen the solitary waves, however, the effect also depends on the meridional wavenumber m andthe modes of solitary wave.     

EFFECTS OF TOPOGRAPHY ON SOLITARY ROSSBY WAVES IN A BAROTROPIC ATMOSPHERIC MODEL

The influences of topography on solitary Rossby waves are discussed by using a barotropic atmosphericmodel.The results show that the topography is an important factor exciting solitary Rossby waves,and itseffects are different with different height scales.Two different patterns of solitary Rossby waves are obtainedby using numerical calculation.     

Rossby参数β在涡旋Rossby波中的作用

利用尺度分析方法得到Rossby参数β在强涡旋中有着不可忽略的作用.在无基本气流径向切变的涡旋系统中,在Rossby参数β的作用下有涡旋Rossby波出现.由于涡旋Rossby波存在,从而破坏了涡旋系统的轴对称性,表现出非轴对称特征.在考虑切向基本气流的涡度径向变化时,涡旋Rossby波的频散关系同时包含了切向基本气流涡度径向切变项和β项的作用.一般情况下涡旋Rossby波在切向基本气流涡度径向切变的作用下有向外频散能量的特性,而β项的作用随方位角θ而变化,使涡旋能量频散不对称.     

正压模式中大地形作用下的低频波

利用包含大地形和常数纬向基本气流的正压模式方程组,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波的稳定性决定作用。同时,适当地形坡度也可导致低频波的形成。     

A DYNAMICAL STUDY OF THE FLOW FIELD IN THE PBL OVER LARGE-SCALE TOPOGRAPHY

In this paper, the eddy coefficient and the treatment for dividing layers of Estoque's numerical model in modernPBL dynamics have been applied to derive order-zero and order-one analytic solutions over large-scale topography,the solutions are used to obtain the divergence and vertical velocity, improving the previous results.     

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。     

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.     

THE EFFECT OF ISOLATED TOPOGRAPHY ON WEST FLOW

With the Fourier-expanding expression of isolated topography,the forcing of isolated topography is studiedin this paper.In the initial condition of steady uniform west flow in β-plan channel model,the approximatesolution of quasi-geostrophic potential vorticity equation is obtained.The results indicate that a series ofsteady topographic standing and transient waves can be produced by the forcing of isolated topography.Thewave can move eastward or westward according to the wave scales.The most slowly Rossby wave is thestrongest wave.So is the standing wave corresponding to the wave number.The main action of topographyis to produce these strong waves.It is suggested that action of topography is one of the main causes to pro-duce low frequency oscillation and long-range steady weather.     

DEVELOPMENT OF INTERNAL INERTIAL GRAVITY WAVES IN THE ATMOSPHERE WITH HETEROGENEOUS STRATIFICATION

In this paper,by the WKB method the relation between the energy increase of internal inertial gravity waves andheterogeneous atmospheric stratification is derived,and a new generalized wave action is defined and its conservation isproved.     

STUDY OF NONLINEAR ROSSBY WAVES IN THE ATMOSPHERE UNDER SEMI-GEOSTROPHIC APPROXIMATION

Under semi-geostrophic approximation the nonlinear ordinary differential equations are obtained for the motion inthe barotropic and baroclinic atmospheres with the effects of zonal shear basic flow and topographic forcing included.Two constraints are acquired of finite-amplitude periodic and solitary waves in the original model with the aid of thephase-plane geometric qualitative theory of a dynamic system defined by the differential equation.The explicit solutionof the nonlinear waves is found by means of the approximation method and some significant results are achieved.     

旋转正压大气中的Rossby波射线

本文将缓变介质中波动的传播理论应用于Rossby波。在基流和不同走向地形假设下,计算了Rossby波射线路径及沿射线波数的变化。结果表明大尺度地形对Rossby波射线有显著影响。     

切变气流中地形强迫激发的非线性长波

经推导得到了包括地形和耗散的ＦＫｄＶ－Ｂｕｒｇｅｒｓ方程,利用数值解讨论了地表强迫激发的弧波演变以及移动性孤波与地形的相互作用,结果显示,对于α〉０或α〈０,不论是在气旋式切变气流还是反气旋式切变气流中,地形都能在强迫激发出定常孤波,在其下游产生调制椭圆余弦波列的背风波,当α＝０时,在反气旋式切变气流中强迫区产生的是大振幅定常孤波,气旋式切变气流中强迫区产生的是复杂的非定常孤波,地形强迫产生的ｍ＝     

NUMERICAL EXPERIMENTS ON THE TROPICAL AIR-SEA INTERACTION WAVES

By means of the numerical method,the tropical air-sea interaction waves are studied.The results show that whenthe Kelvin waves are filtered out and only the equatorial Rossby waves are reserved both in the atmosphere and in theocean,the disturbances can also propagate eastward because of the air-sea interaction.The critical wavelength of theeastward propagating waves is related to the intensity of the air-sea interaction.The stronger the air-sea interaction,thelarger the eastward propagating components of the air-sea interaction waves.The results of the numerical experimentsare in good agreement with those of the theoretical analysis(Chao and Zhang,1988).     

切变流中的CISK机制与惯性重力波

利用板对称，有切变的大气动力学方程组，由行波法导出非线性微分方程，通过非线性稳定性理论讨论方程的稳定性，求解了ＫＤＶ方程，并讨论了线性ＣＩＳＫ，非线性ＣＩＳＫ，惯性稳定度参数和大气风速垂切变对惯性重力孤波强度和宽度的影响，目的早通过了解影响惯性重力孤波发展的因子，更深入地理解低纬中尺度天气系统形成和发展的过程。     

一类低涡孤立波解的特征分析

在ｕαｖ／αｘ＝０的条件下，求出了某一类低涡的孤立波解，然后将它同一般低涡的孤立波解进行比较，结果发现，由于采用了ｕαｖ／αｘ＝０的假定，使得模式方程组的非线性增强，垂直输送ｗαｖ／αｐ赖以保留，使温度平流，非绝热加热（Ｑ１和Ｑ２）的强迫效应能够通过温度局地变化、垂直运动两条渠道表现出来。     

相同强度双台风相互作用的物理机制

在无基本气流的假定下,应用无辐数正压模式研究双台风相互作用的物理机制。台风Ａ位于观风Ｂ以西,两台风相距６０ｋｍ,且具有相同的强度。在台风Ａ（台风Ｂ）的非对称流场中,由台风Ａ（台风Ｂ）的线性β效应产生的非对称涡旋的方位相位与由台风Ｂ（台风Ａ）形成的非对称涡旋方位相位相反（相同）。因此,台风Ａ（台风Ｂ）的大尺度非对称涡旋较弱（较强）。小尺度涡旋逆时针旋转导致台风Ａ逆时将打转。稳定的偏南非对称气流使台风     

GENERAL FORMS OF DYNAMIC EQUATIONS FOR ATMOSPHERE IN NUMERICAL MODELS WITH TOPOGRAPHY

The atmospheric dynamic equations have been transformed from the z-coordinate system into a generalized vertical coordinate system by using a sc-called DDD transformation method. Then the generalized system is assumed being pressure, sigma or incorporated pressure-sigma coordinate system and corresponding equations are obtained with the second-order accuracy. It is pointed out that the usual equations are only of the first-order accuracy when their space-differential terms are approximated by central finite differences. Therefore the usual forms of the equations may result in quite large errors on steep slopes of mountains included in a model.