A STUDY OF THE EFFECT OF GRAVITY WAVE BREAKING ON MIDDLE ATMOSPHERIC CIRCULATION

McFarline's gravity drag theory is simply reviewed,and it is indicated that the fault ofMcFarline's theory is that the effect of dissipation induced by gravity wave breaking on mean flowis not fully considered.Based on McFarline's theory,in this paper,the effect mentioned above iswell considered.A new dissipation coefficient D is calculated,and a relatively completeparameterized scheme of the influence of gravity wave breaking on meanflow is put forward here.This is a better parameterized scheme than McFarline's if it is used in GCM.     

A NOTE ON THE APPLICATION OF LINEAR WAVE THEORY AT A CRITICAL LEVEL

The purpose of this note is to estimate the accuracy and practical limitations of applying linear theory at a critical level over a realistic range of atmospheric stabilities for an idealized surface terrain. These estimates are made by comparing the results of a linear model with a nonlinear numerical model at a critical level. Essentially similar results are obtained from each model for wave stress, wave breaking height and wave dissipation through the critical level. Because gravity waves can be either evanescent or internal depending on the relative sizes of the Scorer parameter and the wavenumber of the ground surface disturbance, the somewhat paradoxical result develops that wave breaking and non-linearity increase with increasing bulk Richardson number. It is recommended that steady linear wave theory be used in gravity wave drag parameterizations provided near real time profiles of background velocity and temperature are available.     

一个双波地形重力波拖曳参数化方案

当地形次尺度强迫的作用与显式的经典动力作用效应相当时,地形重力波拖曳力对于环流的维持,以及动量和热量通量输送的动力效应变得十分显著。这种地形次尺度拖曳作用项可通过参数化的方法,在动力方程中加入额外的小项而引入数值模式。目前成熟的地形重力波拖曳参数化方法,如第1代基于线性单波理论的参数化方案;以及侧重考虑了临界层作用等因素对拖曳力的额外贡献的第2代参数化方案,都无法有效表达风速垂直变化引起的波动应力随高度变化的特征。基于上述考虑,本文给出了一个双波参数化方案用于计算地形重力波拖曳中由线性自由传播重力波造成的波动应力的垂直分布。通过二阶WKB近似,它对由风速垂直变化引起的对波动应力的选择性临界层吸收过程和经典的临界层吸收过程做了显式处理;而在不发生临界层吸收现象的地区,则用两个单波同时在垂直方向上进行应力的传播,并利用波饱和标准进行应力耗散。进一步地在真实地形(以大别山地区为个例)条件下的测试结果表明,通过在不同理想风速廓线以及北半球冬季中纬度纬向平均风廓线下对波动应力垂直分布的计算,证明该方案确实能有效地给出应力随高度变化的特征。     

A Two-Wave Scheme for Orographic Gravity Wave Drag Parameterization

When the magnitude of sub-scale ographic forcing is comparable with explicitly ordinary dynamic forcing, the drag effect reduced by ographic gravity wave is to be significant for maintaining dynamic balance of atmospheric circulation, as well as the momentum and energy transport. Such sub-scale ographic forcing should be introduced into numerically atmospheric model by means of drag being parameterized. Furthermore, the currently mature ographic gravity wave drag （OGWD） parameterization, i.e., the so-called first-generation （based on lineal single-wave theoretical framework） or the second-generation drag parameterization （including an important extra forcing by the contribution of critical level absorption）, cannot correctly and effectly describe the vertical profile of wave stress under the influence of ambient wind shearing. Based on aforementioned consideration, a new two-wave scheme was proposed to parameterize the ographic gravity wave drag by means of freely propagating gravity waves. It starts with a second order WKB approximation, and treats the wave stress attenuations caused by either the selective critical level absorption or the classical critical level absorption explicitly; while in the regions where critical levels are absent, it transports the wave stress vertically by two sinusoidal waves and deposits them and then damps them according to the wave saturation criteria. This scheme is thus used to conduct some sample computations over the Dabie Mountain region of East China, as an example. The results showed that the new two-wave scheme is able to model the vertical distribution of the wave stress more realistically.     

Numerical simulation of air flow over breaking waves

The air flow above breaking monochromatic Stokes waves is studied using a numerical nonlinear model of the turbulent air flow above waves of finite amplitude. The breaking event (spilling breaker) is parameterized by increasing the local roughness at the downwind slope of the wave, just beyond the crest. Both moderate slope waves and steep waves are considered. Above steep breaking waves, a large increase (typically 100%) in the total wind stress — averaged over the wave profile — is found compared to nonbreaking moderate slope waves. This is due to the drastic increase of the form drag, which arises from the asymmetrical surface pressure pattern above breaking waves. Both increase of wave slope (sharpening of the crest) and increase of local roughness in the spilling breaker area cause this asymmetrical surface pressure pattern. A comparison of the numerical results with the recent experimental measurements of Banner (1990) is carried out and a good agreement is found for the structure of the pressure pattern above breaking waves and for the magnitude of enhanced momentum transfer. Also: Dept. of Applied Physics, Techn. Univ. Delft, Netherlands.     

中尺度大气波动的波谱和谱函数——数学模型和计算方法

作者得到了准二维Boussinesq方程组，并用其研究了中尺度大气波动的波谱和谱函数。在一定条件下对该方程组线性化并取标准模后，可将其初边值问题转化为矩阵的广义特征值问题来进行数值求解，这样就可知原问题波谱和谱函数的性质。当无基本流且取地转参数、层结参数为常数时，可求得其波谱和谱函数的解析解。此时该模式中仅包含有一对重力惯性内波模态，且各模态均是简谐波；模态越高，垂直波数越大则波动传播得越慢，所有的模态均为离散谱，并存在聚点。对此作者用数值解作了验算，结果表明，该数值求解方案合理可行，对不太高的模态其精度也令人满意。在无基本流然而考虑层结的垂直变化后，则一般无法求取解析解，为此进行了数值求解。这时该模式仍仅包含有一对重力惯性内波的离散谱模态，不过由于层结参数的变化，各模态结构与简谐波出现了偏差。     

不同阶曲线拟合扰动场对下平流层重力波气候特征影响研究

重力波参数气候特征是确定大气模式中重力波参数化方案的重要条件之一,高垂直分辨率探空资料扰动场是获取重力波参数气候特征的基础数据;目前,获取扰动场的方法较多,但基于不同方法计算的扰动场对重力波参数气候特征影响的研究较少.基于2014—2017年山西太原气象台高垂直分辨率探空资料,利用2—4阶曲线拟合方法获取下平流层(17...     

青藏高原边坡地形重力波拖曳方案应用的个例研究

本文针对我国西南地区的一次持续性暴雨过程,利用WRF模式引入地形重力波拖曳方案进行120h的模拟,对比结果认为引入地形重力波拖曳的模拟效果总体看来略有优势,并详细分析了不同模拟时段的位势高度场,风场,海平面气压场与降水,其结果认为,引入与未引入地形重力波模拟的差异主要出现在48~72h之后,位势高度场方面,72h之后,在青藏高原主体上引入拖曳方案后的模拟结果相对未引入拖曳方案的结果是正偏差,高原下游地区为负偏差,引入后的模拟相对准确;风场模拟方面同样72h以内的模拟差距较小,72h之后高原上出现一处气旋性涡旋,其中心位置的模拟,引入拖曳方案后的结果相对准确,本次个例中出现的一例西南低涡,两实验都能够较好的模拟出700h Pa的气旋性涡旋;降水模拟的结果表明,在72h之后,对于四川地区降水中心位置的模拟,引入拖曳方案的模拟有所提高,但中心依然过强。这方面主要考虑降水的模拟牵涉模式内部更为复杂的处理过程和其他因素,地形重力波拖曳只是其中一个影响因素而不是核心因素。另外此方案对温度场及海平面气压场模拟的影响不明显。理论上讲引入地形重力波拖曳效应的模拟是物理过程相对更为完善的,在本次个例中模拟效果也略优,但在高原下坡复杂地形处长期应用的模拟效果仍需要更多的测试,将在后续工作中加以完善。      

地形重力波拖曳参数化对热带气旋强度和路径预报影响的研究

本文在GRAPES_TMM（Global/Regional Assimilation and Prediction System for Tropical Mesoscale Model）——中国南海台风模式版（面向南海和东南亚）中发展和引进了KA95（Kim and Arakawa,1995）地形重力波拖曳参数化方案（GWDO）,并对2012年主要的9个登陆台风进行了试验对比研究,考察了不同标准Richardson数（Ri_c）的GWDO试验对台风路径和强度预报的影响。结果表明,在引入地形重力波拖曳参数化过程后,模式对台风登陆时路径和强度的预报能力均要有提高,对台风预报时长越长,GWDO的影响也更为显著。对双台风“SAOLA”和“DAMREY”试验结果表明,GWDO对台风外围距台风中心150 km的对流层中下层风速减弱较为明显,减弱了GRAPES区域模式对台风强度预报偏强的现象,对台风强度长时间预报改善更为明显。不同标准Ri_c对重力波拖曳力的计算较为敏感,当Ri_c取1.0时,动能迅速的在低层被频散,能量无法有效地上传;Ri_c取0.25时,大部分的能量在中高层被频散。总的来说,Ri_c取0.75时对台风路径和强度预报改进更为显著,其结果可为业务预报提供指导意义。     

Experimental study of nonlinear wave—wave interaction and white-cap dissipation of wind-generated waves

An experimental scheme was designed to obtain laboratory-scale verification of Hasselmann's nonlinear wave—wave interaction and white-cap dissipation theories. Water wave height and fluctuating air pressure were measured simultaneously in a fixed reference frame as a function of fetch in the Stanford Wind, Water-Wave Research Facility under the conditions of a steady wind and a stationary wave spectrum. All the data were obtained 5 mm above the highest point of the wind waves for five stations (3 m apart on average) and at three wind speeds (7.1, 8.0 and 8.9 m/sec). The wave height and fluctuating pressure were measured by a capacitance wave-height gauge and a crystal pressure transducer, respectively.Based on the experimental results, Hasselmann's nonlinear wave—wave interaction theory appears to be valid. Barnett's approximate parametric equation for calculating the energy transfer of nonlinear wave—wave interaction and Hasselmann's white-capping dissipation model were also verified and appeared to be applicable in the relatively low and intermediate frequency region of a wave spectrum for a normalized fetch range of 100–500. Based on the results of an overall energy balance in a gravity wind-wave spectrum, the nonlinear wave—wave interaction mechanism is shown to play a dominant role in the energy transfer processes after the wave spectrum is generated.     

对流云街激发的重力波和波动阻力

大气边界层中的对流活动,可以在其上部稳定层中激发出重力波,并引起垂直动量输送,影响到对流层和平流层中的动量平衡过程.从二层模式中大气波动方程的线性解出发,得出了对流云街激发的重力波波阻解析表达式,并讨论了大气条件对波阻的影响.这些分析可有助于大气环流模式(GCM)中此类重力波波阻参数化表达式的建立和改进.     

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.     

条件不稳定湿大气中三维理想地形上空对流的动力学特征

条件不稳定湿大气情况下,气流经过三维地形可以形成不同性质的对流系统以及不同特征的地形流结构,其对流系统、地形流的性质主要取决于地形上空的对流触发、对流-地形流-重力波三者之间的相互作用,同样这些过程对于地形降水的性质、分布起重要的作用.根据不同湿Fr数(Froude number),湿条件不稳定大气经过三维小尺度山地上空时其对流和地形流动存在4种不同的流域(flow regirnes):(1)下游传播对流模态;(2)上游传播和下游传播共存对流模态;(3)山峰附近准静止和下游传播共存对流模态;(4)下坡稳定和下游传播对流共存模态.地形上空对流系统主要可以通过两种不同机制形成:(1)地形直接的抬升或减速作用;(2)在地形流形成后,由于地形流本身特性(如上游分离、背风涡旋和下坡重力波破碎)触发.在较大的Fr数情况下,地形上空对流生成后反过来可以破坏上、下游的地形流结构,但对背风坡的重力波破碎影响较小.不同初始对流有效位能(CAPE)不仅可以影响对流系统的传播、发展,而且可以影响整体地形流性质.较低的初始CAPE有利于地形流的形成,此时对流对地形流结构特征的影响相对较小,其流场性质与低Fr数流域性质相似.     

The propagation of inertia-gravity waves and their influence on zonal mean flow part two: Wave breaking and critical levels

The gravity wave breaking is crucial to the large-scale circulation of middle atmosphere. In this paper, we follow Lindzen (1981) to draw out the parameterization of two-dimensional gravity wave breaking including inertial effect. Also we present some properties of critical levels and inertial critical levels.     

青藏高原地形重力波拖曳的初步分析及数值模拟研究

针对目前对青藏高原大地形激发的重力波拖曳相关问题还不十分清楚,在GRAPES_Meso模式中引入次网格地形重力波拖曳参数化方案,通过数值试验初步研究了青藏高原地区次网格地形重力波拖曳的一些相关参数,结果指出:(1)沿30°N地形重力波拖曳的垂直分布显示,阻塞拖曳主要存在于模式的低层(第1—5层),重力波拖曳主要存在于模式的第5—10层;从水平分布看,模式第3层以阻塞拖曳为主,主要位于青藏高原边缘地区,阻塞拖曳大值区沿喜马拉雅山脉走向和青藏高原东坡;模式第5层以重力波拖曳为主,主要位于青藏高原东部地区和云贵高原的北部边缘。(2)弗劳德数和气流绕流高度分析表明,在青藏高原喜马拉雅山脉一带和高原东部边缘地区,气流爬坡能力强,同时在这一地区绕流高度最高;弗劳德数越大的地区绕流高度距离地表越高。(3)采用次网格地形重力波拖曳参数化方案后,对于低层和高层地形重力波破碎的发生有更准确的描述,地形重力波是向上垂直传播的。(4)个例和批量试验检验结果表明,采用次网格地形重力波拖曳参数化方案对于风场和降水模拟有正效果,提高了模式预报的准确率。     

中尺度大气运动中孤立重力波特征的研究

通过对斜压大气(基本风场有垂直切变)运动中重力内波的研究发现:对于小振幅扰动(弱非线性问题),考虑波动之间的非线性相互作用以后,控制重力内波波包(调制波)的演变方程是非线性Schrodinger方程.然后通过对冷锋爆发冷涌过程的计算表明:冷涌主体前沿的宽度约10km,行进速度约为13/s,随着冷涌的增强,其宽度变窄.这些计算结果与实际的观测结果比较一致.     

INFLUENCES OF NONUNIFORM STRATIFICATION ON WAVE RAYS OF INTERNAL GRAVITY WAVE

In this paper the influences of nonuniform stratification on the propagating paths of internal inertial-gravity andpure gravity wave energy are discussed by using the WKB approximation method.The conditions for conservation ofwave energy,generalized wave action and wave enstrophy are obtained.The necessary condition of instability for inter-nal gravity waves and the equation governing the refraction of wave rays are derived.Two types of critical levels are giv-en.Finally,the wave rays for different distributions of stratification are calculated by using the fourth-orderRunge-Kutta method.     

A case study of a wave-like cloud and gravity wave in the lower troposphere in Mizuho Plateau,Antarctica

A case study of a gravity wave is carried out with visual observations of cloud and low-level air soundings. The wave is well interpreted by the simple classical theory of a deep water wave. The observed frequency agrees with the Brunt-Väisälä frequency if the Doppler effect is considered.