Estimated errors in a global gravity wave climatology from GPS radio occultation temperature profiles

In a previous paper by Schmidt et al. (2008), from CHAllenging Minisatellite Payload (CHAMP) Global Positioning System (GPS) radio occultation data, a comparison was made between a Gaussian filter applied to the “complete” temperature profile and to its “separate” tropospheric and stratospheric height intervals, for gravity wave analyses. It was found that the separate filtering method considerably reduces a wave activity artificial enhancement near the tropopause, presumably due to the isolation process of the wave component. We now propose a simple approach to estimate the uncertainty in the calculation of the mean specific wave potential energy content, due exclusively to the filtering process of vertical temperature profiles, independently of the experimental origin of the data. The approach is developed through a statistical simulation, built up from the superposition of synthetic wave perturbations. These are adjusted by a recent gravity wave (GW) climatology and temperature profiles from reanalyses. A systematic overestimation of the mean specific wave potential energy content is detected and its variability with latitude, altitude, season and averaging height interval is highlighted.     

A gravity wave analysis near to the Andes Range from GPS radio occultation data and mesoscale numerical simulations: Two case studies

Global maps of potential wave energy per unit mass, recently performed with the Global Positioning System (GPS) Radio Occultation (RO) technique and different satellite missions (CHAMP and SAC-C since 2001, GRACE and COSMIC since 2006) revealed in Argentina, at the eastern side of the highest Andes Mountains, a considerable wave activity (WA) in comparison with other extra-tropical regions. The main gravity wave (GW) sources in this natural laboratory are deep convection (mainly during late Spring and Summer), topographic forcing and geostrophic adjustment.     

北京地区大气温度及重力波活动的季节变化

利用瑞利激光雷达观测数据,分析了北京地区35~70km高度范围内大气温度和重力波活动的季节变化.发现北京地区30~70km高度范围内的大气温度有明显的年周期变化:平流层顶最高温度出现在6,7月份,大约为270K;中间层70km高度最低温度也出现在6,7月份,大约为200K.以2014年10月14日晚数据为例,分析重力波势能密度,发现50km以下重力波势能存在耗散,而在50km以上重力波近乎无耗散地向上传播.通过对比35~50km高度范围内的平均势能密度,对北京地区重力波活动强弱的季节变化进行了研究.研究结果表明,北京上空重力波活动强度具有明显的年周期变化,冬季平均势能密度为18J·kg-1,夏季为8J·kg-1,且冬季重力波活动强度约为夏季的两倍.此外,还分析了春夏秋冬四个季节重力波势能密度随高度的变化.结果表明,不同季节和不同高度的重力波势能密度不同.      

A comparative and numerical study of effects of gravity waves in small miss-distance and miss-time GPS radio occultation temperature profiles

The Global Positioning System (GPS) Radio Occultation (RO) technique has global coverage and is capable of generating high vertical resolution temperature profiles of the upper troposphere and lower stratosphere with sub-Kelvin accuracy and long-term stability, regardless of weather conditions. In this work, we take advantage of the anomalously high density of occultation events at the eastern side of the highest Andes Mountains during the initial mission months of COSMIC (Constellation Observing System for Meteorology, Ionosphere and Climate). This region is well-known for its high wave activity. We choose to study two pairs of GPS RO, both containing two occultations that occurred close in time and space. One pair shows significant differences between both temperature profiles. Numerical simulations with a mesoscale model were performed, in order to understand this discrepancy. It is attributed to the presence of a horizontal inhomogeneous structure caused by gravity waves.     

重力波波包在三维非等温大气和水平风场中非线性传播的数值研究

采用全隐欧拉格式（FICE）对重力波波包在三维非等温大气、均匀和剪切风场中的非线性传播进行了数值模拟，给出了重力波波包三维非线性传播的全过程，分析了重力波的传播特性及背景温度场、风场对重力波传播的影响。结果表明：波包扰动速度振幅的增长比在WKB条件下振幅的增长要慢；波包非线性传播的路径、能量传输速度不同于WKB近似下的结果，非线性效应导致了重力波的传播特性的改变；温度场的非均匀性会改变重力波传播的路径和速度；剪切风场使扰动速度振幅的增加变得缓慢，使垂直波长减小。     

Case study of inclined sporadic E layers in the Earth’s ionosphere observed by CHAMP/GPS radio occultations: Coupling between the tilted plasma layers and internal waves

We have used the radio occultation (RO) satellite data CHAMP/GPS (Challenging Minisatellite Payload/Global Positioning System) for studying the ionosphere of the Earth. A method for deriving the parameters of ionospheric structures is based upon an analysis of the RO signal variations in the phase path and intensity. This method allows one to estimate the spatial displacement of a plasma layer with respect to the ray perigee, and to determine the layer inclination and height correction values. In this paper, we focus on the case study of inclined sporadic E (E_s) layers in the high-latitude ionosphere based on available CHAMP RO data. Assuming that the internal gravity waves (IGWs) with the phase-fronts parallel to the ionization layer surfaces are responsible for the tilt angles of sporadic plasma layers, we have developed a new technique for determining the parameters of IGWs linked with the inclined E_s structures. A small-scale internal wave may be modulating initially horizontal E_s layer in height and causing a direction of the plasma density gradient to be rotated and aligned with that of the wave propagation vector k. The results of determination of the intrinsic wave frequency and period, vertical and horizontal wavelengths, intrinsic vertical and horizontal phase speeds, and other characteristics of IGWs under study are presented and discussed.     

非等间距显式算法在重力波非线性传播数值模拟中的初步应用

采用3阶TVD型显式时间积分方法,建立了2维可压缩大气中重力波非线性传播的非等间距显式数值模式.对小振幅重力波传播过程的模拟结果表明,该模式能够很好地再现小振幅重力波的传播过程,并能保持能量守恒关系和各扰动量之间的相位关系,与线性重力波理论预测的结果吻合很好.对有限振幅重力波的模拟结果表明,与格点数相同的等间距网格中的模拟结果相比,采用非等间距网格能够以更高的分辨率模拟重力波的不稳定传播直到破碎的整个过程;在非等间距网格中的模拟结果与在加密一倍的等间距网格中的模拟结果相同,说明了用非等间距网格模拟重力波的饱和与破碎过程是正确的,并且采用非等间距网格能够大大减少计算量.      

内重力波传播的3维传输函数模式研究

在考虑背景风场及大气耗散的条件下,建立了3维内重力波传输函数数值模式.分析了300 km高度3维传输函数在频率波数域的特性,并以近地面单位脉冲点源为激发源,得到了内重力波在3维空间中的时空分布.讨论了不同时空尺度地面方波源激发的内重力波在电离层高度的能量分布特征.结果表明,(1)对内重力波而言,背景大气相当于一个带通滤波器,只有波动周期和波长分别在15～30 min和200～400 km之间的重力波扰动最容易上传到300km高度;(2)在背景风场的作用下水平面上以同心圆扩散的波阵面以及垂直方向上成漏斗状的波阵面发生了变形,并且逆风方向比顺风方向更有利于声重力波由对流层向电离层高度传播;(3)300km高度对时间尺度和空间尺度分别在20～30 min和150～250 km之间的地面方波源响应的总能量最强.      

双变量波状扰动激发重力波波包的数值研究

采用谱配置方法对双变量波状扰动激发重力波的过程及其能量传播和转换特性进行数值研究．模拟结果表明，当初始给定的两个变量的波状扰动的相对振幅和相位严格满足重力波的偏振关系时，只有水平风场扰动(u′)与温度扰动(7′)的共同作用才能抑制能量向下传输．通常情况下，两个变量的波状扰动都会激发出两文传播方向相反的重力波波包，这两支波包的相对能量明显取决于两个波状扰动之间的相对振幅关系．当两个扰动之间的相对振幅满足特定条件时，向下传播的能量几乎为零，只会有一支向上传播的重力波波包被激发．进一步的数值分析则表明，各种情况下两个变量的波状扰动所激发的重力波波包的能量传播路径和速度基本相同；与单变量波状扰动激发重力波波包的过程相比，能量传播路径几乎完全一致，扰动转化为波动的特征时间也基本相同，但能量转换效率更高．     

重力波波包在可压大气中的非线性传播

本文采用二维全隐欧拉(FICE)格式对具有高斯分布的重力波波包在等温、可压大气中的非线性传播过程进行数值模拟和分析.数值分析结果表明:尽管存在非线性效应,在整个传播过程中,波动的等相面向下运动,波包和波相关能量向上传输.波相关扰动速度随高度增加指数增长,并且波与平流会发生非线性相互作用,最后导致平均流场增强.这与线性重力波理论完全一致.重力波波包的传播路径与重力波线性射线理论预言非常接近,但平均水平群速度和平均垂直群速度均明显小于线性射线理论给出的结果,可见波动的非线性过程会改变波相关能量的传输速度.模拟结果首次定量地展示出非线性效应对重力波波包传播的影响,表明建立在线性理论框架中的重力波运动学定义的合理性.      

重力波波包在时变背景场中传播的数值研究

采用二阶算子分裂格式对高斯型重力波波包在时变背景温场和时变背景风场中的非线性传播过程分别进行了数值模拟和分析.研究表明,时变背景场对波包空间结构演变影响不明显,各物理量的偏振关系与线性理论偏振关系较一致;在时变背景温场中传播,水平群速度和垂直群速度的变化趋势与线性理论结果相反,波频率的变化也与线性理论色散方程计算结果有一定的差别,这表明了线性重力波理论的局限性;在时变背景风场中传播,波频率的变化比时变背景温场中更显著.传播路径与在稳恒背景场中比较,更接近线性理论计算出的路径.      

重力波波包在耗散大气中的非线性传播

本文对具有高斯分布的重力波波包在耗散大气中的非线性传播过程进行数据模拟和分析,并与重力波波包在无耗大气中非线性传播的数值计算结果进行了比较,以辨明耗散在重力波非线性传播过程中所起的作用。     

重力波波包在非等温和可压大气中的非线性传播

本文采用二维全隐欧拉格式对具有高斯分布的重力波波包在非等温,可压大气中的非线性传播过程进行数值模拟。     

Assessment of precision in ionospheric electron density profiles retrieved by GPS radio occultations

The Constellation Observing System for Meteorology Ionosphere and Climate (COSMIC) is a six satellite radio occultation mission that was launched in April 2006. The close proximity of these satellites during some months after launch provides a unique opportunity to evaluate the precision of Global Positioning System (GPS) radio occultation (RO) retrievals of ionospheric electron density from nearly collocated and simultaneous observations. RO data from 30 consecutive days during July and August 2006 are divided into ten groups in terms of daytime or nighttime and latitude. In all cases, the best precision values (about 1%) are found at the F peak height and they slightly degrade upwards. For all daytime groups, it is seen that electron density profiles above about 120 km height exhibit a substantial improvement in precision. Nighttime groups are rather diverse: in particular, the precision becomes better than 10% above different levels between 120 and 200 km height. Our overall results show that up to 100–200 km (depending on each group), the uncertainty associated with the precision is in the order of the measured electron density values. Even worse, the retrieved values tend sometimes to be negative. Although we cannot rely directly on electron density values at these altitudes, the shape of the profiles could be indicative of some ionospheric features (e.g. waves and sporadic E layers). Above 200 km, the profiles of precision are qualitatively quite independent from daytime or latitude. From all the nearly collocated pairs studied, only 49 exhibited a difference between line of sight angles of both RO at the F peak height larger than 10°. After analyzing them we find no clear indications of a significant representativeness error in electron density profiles due to the spherical assumption above 120 km height. Differences in precision between setting and rising GPS RO may be attributed to the modification of the processing algorithms applied to rising cases during the initial period of the COSMIC mission.     

基于激光雷达实测和动力学仿真方法研究中间层顶垂直风扰动特性

利用中国廊坊台站钠荧光多普勒激光雷达82h垂直风和水平风观测数据,统计得到中间层顶区域中存在10m·-1量级的垂直风扰动和纬向风扰动,其中垂直风扰动远远超过平均风速为-0.015m·-1的背景垂直风速.根据三维准单色重力波的极化关系和色散关系,对高中低三种频率重力波产生的垂直风扰动进行仿真,结果显示在满足短周期、大纬向风扰动条件下,高频重力波能够产生最大10m·-1量级的垂直风扰动,中频重力波能够产生10m·-1以内的垂直风扰动,低频重力波能产生1m·-1以内的垂直风扰动.理论条件下准单色重力波能够产生10m·-1量级的垂直风扰动,钠激光雷达观测到的最大10m·-1量级的垂直风扰动真实存在.研究结果可对高层大气垂直风场探测、垂直风场模拟和重力波参数化提供依据.      

模拟三维重力波传播过程的并行数值模式

从三维大气运动的基本控制方程出发, 基于MPI消息传递接口和区域分解的思想, 建立了模拟三维可压缩大气中重力波传播过程的并行数值模式. 在对垂直方向进行区域分解的基础上, 针对跳点网格的特点, 以垂直速度主格点线为子区域的下边界, 状态变量主格点线为子区域的上边界进行区域分解. 利用MPI消息传递接口来传递计算各子区域中变量时所要用到的相邻子区域上相应变量, 从而顺利地完成对整个计算域的并行计算. 根据线性重力波理论, 通过模拟小振幅重力波的传播过程对所建模式进行了验证. 结果表明, 模式可以很好地模拟小振幅重力波在三维空间中的传播过程, 模拟的重力波振幅随着传播高度的增加以指数形式增长, 对能量传播路径以及有效扰动位能和扰动动能的模拟结果均与理论预测的结果吻合很好. 另外, 随着进程个数的增加, 完成相同的计算量所用的计算时间也显著减少. 这表明本文建立的并行数值模式不但能够很好的模拟重力波的传播过程, 而且能够有效地节约计算时间.      

The Nonlinear Model of the Response of Airglow to Gravity Waves

In this paper, we develope a time-dependent, nonlinear, photochemical-dynamical 2-D model which is composed of 3 models: dynamical gravity wave model, middle atmospheric photochemical model, and airglow layer photochemical model. We use the model to study the effect of the gravity wave propagation on the airglow layer. The comparison between the effects of the different wavelength gravity wave on the airglow emission distributions is made. When the vertical wavelength of the gravity wave is close to or is shorter than the thickness of the airglow layer, the gravity wave can make complex structure of the airglow layer, such as the double and multi-peak structures of the airglow layers. However, the gravity wave that has long vertical wavelength can make large scale perturbation of the airglow emission distribution.     

一次暴雨激发平流层重力波的卫星观测与数值模拟

针对卫星Aqua/AIRS观测到的与2011年7月25日山东省乳山市特大暴雨相伴的一次平流层重力波过程,利用中尺度数值模式WRF进行暴雨诱发平流层重力波的数值模拟.对模式输出的垂直速度场和温度扰动场的分析表明,暴雨在平流层内的弧状波结构主要集中在降水云系东侧,水平影响范围大于1000km,且随着高度的增加,圆弧状结构趋于闭合,波动能量显著增强.此外,对垂直速度剖面结构分析表明,受高空东风和风切变的影响,重力波在上传过程中逆着背景风场向东传输,不同高度波动形态各异.基于快速傅里叶变换（FFT）的功率谱分析结果表明,此次暴雨激发的平流层重力波在35km高度的周期为7~20h,水平波长约为1000km,垂直波长为5~10km.通过分析动量通量的垂直输送,定量反映出重力波上传过程中的动力学变化特征.      

Gravity waves generated by thunderstorms: South-East Asia tropical region study

Gravity waves are recognized as an integral part of earth’s atmosphere which are mainly responsible for energy and momentum distribution among different layers and regions in the atmosphere. Various sources present in land, ocean, and atmosphere such as mountains, convection, jets and fronts etc. are responsible for gravity waves generation. Thunderstorms (deep convection) are one of the major sources of gravity waves in the tropical region, capable of generating waves with a wide range of frequencies and scales and significantly affecting the existing waves. Previous numerical studies have characterised the wave properties that are generated from thunderstorms, but there are no statistically quantified studies. In this paper, we have modelled the relationship between the latent heat generated inside a thunderstorm and the gravity wave properties at the geo-collocated points. Gravity waves are identified over Singapore radiosonde station (with data available until 30?km altitude with 12?h temporal resolution) in the stratosphere using wavelet studies. Based on the GROGRAT ray tracing methods to identify the thunderstorm locations, and RAMS cloud-resolving models simulations to obtain the latent heating of the thunderstorm, a regression analysis is performed using 200 cases of gravity waves. Furthermore, cloud-top momentum flux analysis is performed for various cases latent heat. This study is expected to provide more quantified and concrete information on the coupling between the thunderstorm and gravity wave which includes the variance in these relationships due to wave frequency spectrum and generation mechanisms.     

Aura/MLS与TIMED/SABER观测全球重力波特性

大气重力波是临近空间环境主要大气波动之一,对全球环流具有重要影响。卫星上搭载的临边探测器能够探测临近空间大气温度,可用于临近空间大气重力波研究。利用2012－2014年Aura的微波临边探测器（MLS）和TIMED的红外临边探测器（SABER）的探测数据,对20~50 km高度的大气重力波扰动分布特征开展了分析研究,两种观测重力波活动基本一致,重力波随季节、纬度及高度的变化显著。冬季半球高纬度重力波扰动较强,赤道和夏季半球近赤道地区上空也存在明显重力波活动区域,夏季半球高纬度重力波扰动最弱。重力波扰动强度随高度增加。TIMED/SABER重力波扰动强度数值比 Aura/MLS略强。