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1.
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。  相似文献   

2.
垂直切变和地形影响下惯性重力波的发展   总被引:6,自引:1,他引:6  
吴洪  林锦瑞 《气象学报》1997,55(4):499-505
采用分层浅水波方程和WKB方法,分别讨论了在基流垂直切变和地形的影响下,二维惯性重力波的稳定性及其发展,并根据理论结果试图解释1992年6月21日发生在京津冀的一次飑线演变与惯性重力波之间的关系,这可能为飑线预报提供一种思路  相似文献   

3.
王兴宝 《气象科学》1996,16(1):1-11
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。  相似文献   

4.
非均匀层结大气中的重力惯性波及其激发对流的物理机制   总被引:6,自引:0,他引:6  
本文用WKBJ方法求解Boussinesq近似下的重力波方程,导出非均匀层结大气中重力惯性内波的一个守恒波作用量(称为广义波作用量)。根据广义波作用量守恒原理,着重讨论了重力惯性内波在发展过程中尺度变化的规律;在适当的条件下,重力波随着其尺度的变化而可能崩溃(或破碎),从而激发对流的发展。   相似文献   

5.
本文对旋转二维可压缩流(正压原始方程模式)中的谱和谱函数进行了分析和数值计算。这一部份主要讨论谱的分布,结果表明:在正压原始方程中存在三支谱系。当基流为稳定时,这三支谱系均是实的,其中两支为离散谱,分别对应于顺风和逆风传播的重力惯性波(快波),另一支则对应于Rossby波(慢波)。当基流无切变时,慢波由离散谱点组成,慢波相速以基流速度为聚点;且基流为零和科氏参数为常数时退化为无穷维重迭谱点,与聚点重合当基流有切变时,慢波由离散谱和连续谱组成,其中离散谱还可能不存在。当基流速度接近或超过C_0时,最靠近“慢波”的二个或几个原来的重力-惯性波转化为混合型波。当基流为不稳定时,则存在复数的谱点(此时该谱点必定是离散谱)。理论分析和数值计算都得到了广义正压不稳定、超高速不稳定和混合类型的不稳定,而广义正压不稳定属于慢波。我们将在本文的第二部分中讨论相应的谱函数。  相似文献   

6.
旋转二维可压缩流动的谱和特征函数 Ⅰ:谱点的分布   总被引:1,自引:6,他引:1  
曾庆存  李荣凤  张铭 《大气科学》1990,14(2):129-142
本文对旋转二维可压缩流(正压原始方程模式)中的谱和谱函数进行了分析和数值计算。这一部份主要讨论谱的分布,结果表明:在正压原始方程中存在三支谱系。当基流为稳定时,这三支谱系均是实的,其中两支为离散谱,分别对应于顺风和逆风传播的重力惯性波(快波),另一支则对应于Rossby波(慢波)。当基流无切变时,慢波由离散谱点组成,慢波相速以基流速度为聚点;且基流为零和科氏参数为常数时退化为无穷维重迭谱点,与聚点重合当基流有切变时,慢波由离散谱和连续谱组成,其中离散谱还可能不存在。当基流速度接近或超过C_0时,最靠近“慢波”的二个或几个原来的重力-惯性波转化为混合型波。当基流为不稳定时,则存在复数的谱点(此时该谱点必定是离散谱)。理论分析和数值计算都得到了广义正压不稳定、超高速不稳定和混合类型的不稳定,而广义正压不稳定属于慢波。我们将在本文的第二部分中讨论相应的谱函数。  相似文献   

7.
斜压切变基流中横波型扰动的特征波动 Ⅱ:谱函数   总被引:3,自引:0,他引:3  
张立凤  张铭 《气象学报》2001,59(2):143-156
“斜压切变基流中横波型扰动的特征波动Ⅰ谱点分布”一文中分析了斜压切变基流中横波型扰动的谱点分布,这里又对其谱函数进行了分析讨论。结果表明当基流在垂直方向存在切变时,重力惯性波与涡旋波的谱函数在垂直方向上均可出现临界层,临界层的高度随频率σ而变化,即重力惯性波与涡旋波都存在连续谱,但涡旋波与重力惯性波连续谱的结构却不同;对天气尺度扰动,两支重力惯性波和1支涡旋波的连续谱不重叠,此时每支波动仅有1个临界层;而对次天气尺度的扰动,重力惯性波与涡旋波的连续谱区会发生重叠,在连续谱的重叠区,重力惯性波仍只有1个临界层,但涡旋波则可以有2个或3个临界层。无论是涡旋波还是重力惯性波其连续谱的波包随时间都是衰减的,但涡旋波波包比重力惯性波波包衰减得慢。  相似文献   

8.
吴洪  林锦瑞 《高原气象》1997,16(4):433-439
采用分层浅水波方程组和WKB方法,分别讨论了经向基流的垂直切变和南北走向的地形对二维惯性重力波的移速,稳定性以及发展的影响。  相似文献   

9.
吕克利  徐亚梅 《气象学报》1994,52(3):332-341
文中利用WKB近似,讨论了非均匀层结对惯性重力内波和纯重力内波能量传播路径的影响,得到了波的能量密度,广义波作用密度,和广义拟能密度守恒的条件,导得了重力内波不稳定的必要条件,给出了在波的传播过程中控制波射线折射的方程,得到了两类不同的临界层,最后还利用四阶Runge-Kutta方法计算了不同层结分布下的波射线。  相似文献   

10.
地球流体惯性重力内波的波作用量与稳定性   总被引:5,自引:4,他引:5  
本文首先导出了地球流体中惯性重力内波的波能密度和波作用量;然后,用WKB方法和多尺度方法建立了波作用量方程,并讨论了惯性重力内波的稳定性;最后,定义惯性重力内波的广义波作用量,并在非均匀介质中论证了它的守恒性.  相似文献   

11.
By using barotropic model equations, this article analyzed the characteristics of Rossby waves, the propagation features of wave energy and the influence of dynamic and thermal effects of the Tibetan Plateau on Rossby waves, and the focus is on discussing the plateau's topographic gradient effects on atmospheric Rossby waves. Then based on the WRF3.2 and the NCEP/NCAR FNL reanalysis data, we devised comparative tests of changing the plateau's topographic gradient and simulated a process of persistent heavy rain that happened in May 2010 in South China. The results are shown as follows. The Tibetan Plateau’s topography is conducive to the formation of atmospheric Rossby waves. while the plateau's terrain, its friction and heating effects can all make the atmospheric Rossby waves develop into the planetary waves; The effects of plateau's north and south slopes on the Rossby wave’ phase velocity is opposite, and when the slope reached a certain value can the quasi-steady normal fluctuations be generated; Simultaneously, due to the plateau's topographic gradient, descending motion appears at the west side of the plateau while ascending motion appears at the east side, and the vertical movement increased with the amplification of topographic gradients. The plateau's topographic gradient also obviously amplified the precipitation in South China, and the rainfall area increased with the amplification of topographic gradients and gradually moved from south to north and from west to east, which is conducive to the occurrence and development of convective activities in the downstream areas of the Tibetan Plateau; Moreover, for the plateau’s dynamic and thermal effects, the Rossby wave’ propagation shows upstream effects of energy dispersion, so the plateau can then affect the weather in downstream areas. Moreover, the wave group velocity increased with the degree of topographic slope.  相似文献   

12.
夏友龙  郑祖光 《气象学报》1993,51(2):159-167
本文用WKBJ方法得到了低纬重力惯性波的方程组,讨论了它的发展和传播,并与中纬的重力惯性波作了比较,给出了低纬与中纬环境场对各自的重力惯性波影响的差异。  相似文献   

13.
把斜压气流中的短波槽看成波包,并把波包作为准地转模式的初值进行研究,发现波包的结构对其演变有重要影响,初始阶段急流轴下面向西倾斜的波包能够获得较快的发展,而向东倾斜的波包则是衰减的,这与WKBJ方法得出的结论[1]是一致的,但是无论西倾还是东倾的波包,除了其自身随时间的演变外,还会激发出斜压不稳定波动,而且随着扰动的发展,不稳定斜压波会逐步在扰动中占主导地位。由此可以解释某些中纬度气旋的发生发展问题。  相似文献   

14.
由1991年7月5—6日一次梅雨期暴雨过程的中尺度扰动场分析, 发现高低层重力惯性波的发展与传播和雨带、低涡的发展与传播有密切的联系, 高低层重力惯性波有明显不同的传播形式。结果表明:降水初期, 对流不稳定激发出重力惯性波, 低层南部相对稳定, 有向南传播的重力惯性波, 高层出现传播的重力惯性波, 高低层向南传播的重力惯性波有利于多条雨带的形成; 降水中期, 高层的重力惯性波出现围绕低层涡旋中心逆时针旋转, 降水也开始加大并东移; 高层向北传播的重力惯性波可导致低层的涡旋和降水发展。  相似文献   

15.
The East Asian subtropical westerly jet(EASWJ) is one of the most important factors modulating the Meiyu rainfall in the Yangtze-Huaihe River Basin, China. This article analyzed periods of the medium-term EASWJ variation,wave packet distribution and energy propagation of Rossby waves along the EASWJ during Meiyu season, and investigated their possible influence on abnormal Meiyu rain. The results showed that during the medium-term scale atmospheric dynamic process, the evolution of the EASWJ in Meiyu season was mainly characterized by the changes of3-8 d synoptic-scale and 10-15 d low-frequency Rossby waves. The strong perturbation wave packet and energy propagation of the 3-8 d synoptic-scale and 10-15 d low-frequency Rossby waves are mostly concentrated in the East Asian region of 90°-150°E, where the two wave trains of perturbation wave packets and wave-activity flux divergence coexist in zonal and meridional directions, and converge on the EASWJ. Besides, the wave trains of perturbation wave packet and wave-activity flux divergence in wet Meiyu years are more systematically westward than those in dry Meiyu years, and they are shown in the inverse phases between each other. In wet(dry) Meiyu year, the perturbation wave packet high-value area of the 10-15 d low-frequency variability is located between the Aral Sea and the Lake Balkhash(in the northeastern part of China), while over eastern China the wave-activity flux is convergent and strong(divergent and weak), and the high-level jets are strong and southward(weak and northward). Because of the coupling of high and low level atmosphere and high-level strong(weak) divergence on the south side of the jet over the Yangtze-Huaihe River Basin, the low-level southwest wind and vertically ascending motion are strengthened(weakened), which is(is not)conducive to precipitation increase in the Yangtze-Huaihe River Basin. These findings would help to better understand the impact mechanisms of the EASWJ activities on abnormal Meiyu from the perspective of medium-term scale Rossby wave energy propagation.  相似文献   

16.
A three-dimensional transformed Eulerian-mean(3D TEM) equation under a non-hydrostatic and non-geostrophic assumption is deduced in this study. The vertical component of the 3D wave activity flux deduced here is the primary difference from previous studies, which is suitable to mesoscale systems. Using the 3D TEM equation, the energy propagation of the inertia–gravity waves and how the generation and dissipation of the inertia–gravity waves drive the mean flow can be examined. During the mature stage of a heavy precipitation event, the maximum of the Eliassen–Palm(EP) flux divergence is primarily concentrated at the height of 10–14 km, where the energy of the inertia–gravity waves propagates forward(eastward) and upward. Examining the contribution of each term of the 3D TEM equation shows that the EP flux divergence is the primary contributor to the mean flow tendency. The EP flux divergence decelerates the zonal wind above and below the high-level jet at the height of 10 km and 15 km, and accelerates the high-level jet at the height of 12–14 km. This structure enhances the vertical wind shear of the environment and promotes the development of the rainstorm.  相似文献   

17.
用线性模型讨论了对流和加热对重力惯性波的激发,分别讨论了初始垂直速度扰动和初始位温扰动及大气内部加热在静态层结大气中激发的重力惯性波,及重力惯性波过程引起的大气温压场的变化。得到的结果可以帮助理解中小尺度系统的发生发展,对流过程与环境大气的相互作用。  相似文献   

18.
The ideas of ray tracing from geometrical optics and wave propagation in a slowly varying medium are applied to Rossby waves propagating in a barotropic atmosphere.The propagation of low-frequency Rossby waves in a zonally symmetric basic state is compared with that for stationary waves presented by Hoskins and Karoly (1981). These ideas are then used to study the propagation of Rossby waves in a basic state with zonally varying middle latitude or low latitude jets. Conditions which allow cross-equatorial wave propagation are presented. For a zonally varying middle latitude jet, there is weak wave convergence in regions of decreasing jet speed, However, this is not sufficient to explain the enhanced wave amplitude found in numerical-model experiments using a zonally varying basic state.  相似文献   

19.
关于西风急流在强迫扰动中作用的数值试验   总被引:3,自引:2,他引:3  
本文利用非线性水波方程谱模式模拟了不同基本气流对低纬和中纬地区涡源扰动的强迫响应,进而讨论西风急流在大尺度流场强迫扰动中的作用。试验分析表明,中纬度西风急流对来自低纬的扰动波列有增哟的阻 阻滞的作用,并能影响强迫扰动的波数和路径。在存在西风急流的情况下,基本气流对低纬扰源的响应比对中纬扰源的响应要强得多。  相似文献   

20.
沈新勇  刘佳  秦南南  冯琎 《大气科学》2013,37(6):1219-1234
本文推导出柱坐标系下含有粘性摩擦项的正压方程组。选取2005年台风麦莎登陆浙江过程中的8月6日15时的WRF(Weather Research and Forecasting)模式输出资料,利用数值差分方法对该正压方程组求特征波解,分析粘性摩擦对台风麦莎内部正压特征波动的影响。结果表明,重力惯性外波在粘性摩擦的影响下,最不稳定波的波数为45左右,波动在摩擦的影响下衰减,波动沿逆时针传播,在半径1000 km处,1波波速为47.43 m/s,在半径r>800 km的范围内,径向风分量扰动加大,辐合辐散运动增强;而摩擦影响下的涡旋Rossby波,2波最不稳定,波动增长率减小,在半径r=200 km处波动相速度为4.282~29.172 m/s,扰动涡度大值区范围减小,涡旋Rossby波的波动区域沿着径向向台风中心收缩。分析包含所有波动时,考虑摩擦后,最不稳定波数在45左右且波动衰减,1波波速在r=1000 km处(外螺旋雨带)为26.374 m/s;在半径r=200 km(内螺旋雨带)为5.275 m/s,考虑径向基本气流后,最不稳定波的波数保持不变,半径r=1000 km处的波速增加为30.324 m/s,r=200 km(内螺旋雨带)处波速为6.065 m/s,摩擦使得径向风分量扰动明显增大,辐合辐散运动加强。  相似文献   

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