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1.
利用考虑地形和水平扩散作用的正压涡度方程,在线性情况下,给出了描写对称运动和反对称运动(都是对赤道来说的)的方程和它们各自的解析解。分析这些解可以看出,不论对于对称运动或反对称运动,解都由三部份组成:一是与初始流场有关的Rossby波;一是以Rossby波波速传播的,与地形和水平扩散有关的行进波;另一是与地形和水平扩散有关的定常波。但是,如初始时刻运动是对称的,则地面拔海高度和水平扩散系数的反对称分布可以引起反对称运动,从而,引起非对称的运动。在定常情况下,则对称的流场,和地面拔海高度、水平扩散系数的对称分布有关,反对称的流场,和地面拔海高度、水平扩散系数的反对称分布有关。最后,还用数值试验,证明反对称地形可以引起反对称运动;还讨论了南北半球的相互影响的问题。  相似文献   

2.
Atmospheric air pollution turbulent fluxes can be assumed to be proportional to the mean concentration gradient. This assumption, along with the equation of continuity, leads to the advection–diffusion equation. Moreover, large eddies are able to mix scalar quantities in a manner that is counter to the local gradient. In this work we present a semi-analytical solution for the three-dimensional steady-state advection–diffusion equation, considering non-local turbulence closure using the Generalized Integral Advection Diffusion Multilayer Technique (GIADMT). We report some examples of applications of the new solution for two different datasets and for a water tank experiment.  相似文献   

3.
The physical basis for the random force theory of atmospheric diffusion is briefly reviewed. The random force equation has usually been introduced as an atmospheric analogy to Brownian motion. Here it is derived by assuming a type of Rayleigh friction in the Lagrangian equations of atmospheric motion. Consequences, including the Lagrangian correlation and spectrum, the particle-particle intercorrelation, and cluster and plume dispersion and meandering, are derived and compared with atmospheric observations. The characteristic time-scale of atmospheric diffusion is shown to be governed by the Coriolis effect, a result in good agreement with meso- and large-scale observations.  相似文献   

4.
对流云中点源爆炸催化剂的扩散问题   总被引:1,自引:0,他引:1  
本文探讨了对流云中点源的扩散问题。在考虑了云中上升速度随高度变化的情况下求得了扩散方程的解。利用我国南方对流云探测的平均数据和点源所在的一般高度,计算了不同时间催化剂的扩散范围和浓度分布,并作了分析讨论,初步得到了对流云中点源的扩散规律和特点。  相似文献   

5.
Tschebyscheff 函数在大气模式垂直离散问题中的应用   总被引:2,自引:0,他引:2       下载免费PDF全文
文章就常用全球谱模式中的垂直离散问题进行了讨论,给出了用Tschebyscheff函数积分静力方程、连续方程,以及计算垂直平流、垂直扩散等的方法。还对某些气象要素在垂直方向微商呈现间断的问题进行了分析,指出了其中存在的问题和应采取的措施。  相似文献   

6.
By utilizing the barotropic vorticity equation including effects of orography and horizontal diffusion,the linearized equations describing symmetric and antisymmetric motions and their analytic solutions are pre-sented.It can be found from the solutions that no matter what kind of motion may be,each solution consistsof three waves,namely,Rossby wave related to initial values,marching wave propagating at Rossby wavevelocity and stationary wave.The latter two are closely related to orography and horizontal diffusion.However,if the motion is symmetric at the initial instant,then the antisymmetric components of orographyand of horizontal diffusion are likely to lead to the generation of antisymmetric motion.In the steady state,the symmetric flow is connected with symmetric orography and horizontal diffusion and the antisymmetricflow with antisymmetric orography and horizontal diffusion.Further,in order to verify the above analysis,three numerical experiments have been made.The results show that antisymmetric orography can produceantisymmetric motion.Finally,the atmospheric interactions between Northern and Southern Hemispheresare discussed.  相似文献   

7.
A model was developed for pollutant dispersion from a point source simulating the Hadera (Israel) power plant stack. The model is based on the NCAR mesoscale meteorological MM4 model that provides the wind fields and coefficients of turbulent diffusion. The model was implemented using an implicit numerical scheme with changing directions. A comparison between the model calculations and an analytical solution for the advection-diffusion equation shows good agreement. Relatively low numerical diffusion of the adopted advection scheme was noted. Results for the hilly region of central Israel are presented for a summer case.  相似文献   

8.
多尺度大气湍流的扩散及扩散率   总被引:5,自引:3,他引:5  
徐大海 《气象学报》1989,47(3):302-311
本文首先将大气湍流多尺度化,而将不同尺度的脉动量的Monte Carlo关系转换为Lange-vin方程,在平稳及均匀条件下可得一高阶常系数Lagrange自相关函数的常微分方程。其通解恰为一组衰减实指数函数的线性组合,系数为各尺度湍能对总湍能的比。以此可通过Taylor积分对野外实测扩散参数作出尺度分解。并可方便地将扩散参数表达为湍流参数的函数使其物理意义明确。  相似文献   

9.
J. Egger 《Climate Dynamics》2001,18(1-2):169-177
 A data set comprising the equatorial components of global atmospheric momentum and the related mountain and friction torques is used to demonstrate the usefulness of a novel analysis technique in climate research. The technique consists in deriving a Master equation in the phase plane of a pair of climate variables on the basis of time series of this pair. The Master equation predicts changes of the pair's probability distribution in this phase plane. A mean velocity and a diffusion coefficient can be derived from the coefficients of this equation. An analysis of the dynamics of the parameter pair is based on the Master equation. The circulation of the angular momenta in the phase plane is anticyclonic with an attraction towards the origin. The diffusion is strongest close to the center of the probability density distribution of the equatorial momenta. The anticyclonic motion reflects the westward propagation of those Rossby waves which contribute to the mass term. It is found that the mountain and orographic torques induce only a small fraction of the observed changes of the angular momenta. It is essentially the impact of both the Earth's deviation from sphericity and its rotation, which induces the variability of the angular momenta. The mass and wind terms are barely related to each other in contrast to the predictions of normal mode theory. Surprisingly, however, the mountain torque and the wind terms are closely linked. Received: 13 April 2000 / Accepted: 22 February 2001  相似文献   

10.
刘聪  金龙山 《气象科学》1996,16(3):225-232
本文就区域尺度大气污染物浓度预报,提出一种以天气气候学分型为基础,结合大气污染物输放散区域污染物浓度区域分布逐日预报模式;并用该模式作预报试验,结果表明:模式的预报结果能达到一定的正确率,具有实用价值。  相似文献   

11.
为了模拟大尺度动力过程并改进数值预报,开展了一个原始方程的半球数值模式的研究。 模式的主要特点是:将热力学方程进行改写,整个差分格式保持总能量守恒,但气压梯度项和静力关系的差分格式可以不受任何限制。模式包括地形、摩擦、水平扩散、降水、蒸发和各种非绝热等物理作用。幅射作用直接由导出的微分表达式计算;地面温度由地面热量平衡方程解出而不需要迭代计算。 最后给出这一模式的一次48小时预报个例的试验结果。  相似文献   

12.
A 5-layer primitive equation Northern Hemisphere operational model in a modified σ-coordinate system is developed in BMC, NMB. Finite difference schemes are constructed to conserve the total energy without imposing any constraints on the difference scheme of hydrostatic equation and pressure gradient term. The physical factors of orography, friction, horizontal diffusion and various non-adiabatic heatings are included. The model has been under development since the beginning of 1980, and became operational in September 1981. Preliminary results for selected series of 40 prognosis are summarized and the verifications are encouraging.  相似文献   

13.
Summary In the present paper, an attempt is made for generalized the atmospheric diffusion operator. This can be accomplished by employing the realizability procedure, to identify a surface operator, that ensures self-adjointness’ of the atmospheric diffusion operator. The dispersion modeling in low wind speeds assumes importance because of the high frequency of occurrence and episodic nature of these poor diffusion conditions. A steady-state mathematical model for hermitized model has been calculated for the dispersion of air pollutants in low winds by taking into account the diffusion in the three coordinate directions and advection along the mean wind. The eddy diffusivities have been parameterized in terms of downwind distance for near source dispersion (Arya, 1995). The constants involved in this parameterization are the squares of intensities of turbulence. An analytical solution for resulting advection-diffusion equation with the physically relevant boundary conditions has been obtained. The solution has been used to simulate the field tracer data collected at IIT Delhi in low wind convective conditions.  相似文献   

14.
A simple equation of diffusion is derived from the longwave radiative flux transfer equation for the atmospheric stable nocturnal boundary layer. This simplification is valid with clear-sky conditions, light wind speeds and near the top of the inversion layer which has already been established.The known physical behavior of such a layer in the given conditions (the weak and slow destabilization, and spreading of the top of the inversion layer) is explained by this simple equation of mathematical physics instead of a complicated expression written in terms of the net longwave radiative flux divergence.  相似文献   

15.
赵鸣  莫天麟 《气象学报》1987,45(4):443-450
本文根据大气中NO_2形成HNO_3的主要化学反应求解带有化学反应的扩散方程而得到HNO_3生成量的空间分布。HNO_3气体形成后边扩散边被降水清洗带至地面。我们又求解了HNO_3气体的扩散方程,考虑降水清洗从而得到HNO_3被降水带至地面的湿沉降量,得到水平面上HNO_3在24h内的分布,可用来大致估计HNO_3污染程度及范围。  相似文献   

16.
大气边界层中湍流扩散问题的随机微分方程处理   总被引:2,自引:0,他引:2  
本文在对湍流扩散机理进行分析的基础上,提出用IT(?)·K随机微分方程来描述湍流扩散过程,并导出了大气边界层中连续点源扩散浓度分布的一般形式。其一级近似可以用初等函数来表示,它的特例与污染气象学中常用的模式是一致的。 另外,本文所给出的一般形式还可以包容地转风和重力沉降等作用对扩散的影响,并具体给出了它的一级近似表达式。  相似文献   

17.
We consider features of the application of a discrete particle statistical method to solve the transport and diffusion equation in the case of the time-dependent (contaminant transport by turbulent flow) or nonlinear (thin slick spreading on the water surface) diffusion rate. For the problem of contaminant dispersion by turbulent flow, an algorithm is developed for discrete particle technique application in the case of the diffusion rate change governed by “4/3 law,” and a good agreement of numerical and analytical results is demonstrated. For the problem of oil slick spreading, as described by the quasi-linear transport-diffusion equation, an algorithm of the particle random walk is developed, in which the walk step dispersion depends on the unknown function. The solution using a discrete particle technique for both volley and continuous discharge is in good agreement with analytical and/or numerical solutions using the grid method (the latter is practically equivalent to the analytical solution due to small time and space steps for a one-dimensional axisymmetric case).  相似文献   

18.
雷孝恩  邓玉珍 《气象学报》1987,45(3):313-321
使用近年来PBL内实测平均风,湍流统计量和拉氏时间尺度随高度变化的结果,对用最简单的二阶闭合假设导出的三维定常物质连续方程作数值解,分析讨论了风速、风向和湍流统计特征量的垂直切变以及粗糙长度z_0对PBL内浓度分布的影响。本文的结果对PBL内湍流扩散本质的认识及污染模式的建立均有益处。  相似文献   

19.
申亿铭  陈吉航 《气象》1993,19(10):7-11
在寻求层状云中催化剂扩散议程的解时,一般都假定风速为常值,但实际上风速是随高度变化的。该文在云中催化剂的数值模式中考虑了风速随高度的变化,用差分格式求其解,并进行了个例计算和比较分析。  相似文献   

20.
A 3-D sea breeze model has been developed to study the sea breeze and the pollutant dispersion over a coastal area. Topography is also included. Similarity theory is adopted while a turbulent kinetic energy equation is used to study turbulence and to parameterize eddy diffusion. The integration is repeated in diurnal cycles and the results — meteorological and pollutant — are compared with data from the Athens area.  相似文献   

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