变化涡动沾性系数的Ekman动量近似模式风场结构

在边界层动力学中，涡动粘性系数是影响边界层风场结构的一个重要参数。本文利用边界层动力学中的Ekman动量近似理论，给出了涡动粘性系数随高度缓变条件下的Ekman动量近似边界层模式解，着重讨论了边界层的风场结构、水平散度、垂直涡度以及边界层顶部的垂直速度。结果分析表明：与常值涡动粘性系数情况相比，在边界层低层随高度增加的涡动粘性系数可以导致低层边界层风速随高度迅速增加，即风速垂直切变增加，同时风速矢与地转风之间的夹角减小。惯性项作用可以导致上述作用在气旋性区域减小、而在反气旋性区域增大。随高度增加的涡动粘性系数导致水平散度绝对值、垂直涡度绝对值以及边界层顶部的垂直速度绝对值在气旋性区域减小，而在反气性旋区域增大。涡动粘性系数与惯性之间的非线性相互作用是边界层动力学中重要过程。     

地转动量近似下边界层中风场的调整

本文利用地转动量近似,并假设气压场为定常的圆形涡旋和初始风场不满足四力平衡(气压梯度力、科里奥利力、湍流粘性力和半地转惯性力)的条件下,求解了正压边界层中风场向气压场调整的初边值问题,得到了一些初步结论。本工作为利用四力平衡下的风速分布来诊断预报边界层风场提供了理论依据。     

Ekman边界层动力学的理论研究

大气边界层及其与自由大气之间的相互作用具有明显的非线性特征,而这些特征是经典Ekman理论所不能描述的,因此,发展中等复杂程度(介于完全模式与经典Ekman模型之间)的大气边界层动力学模式,简称中间模式,对人们从理论上认识大气边界层动力学过程的非线性特征具有重要意义。本文对目前最具代表性的几个中间边界层模型:地转动量近似边界层模型、Ekman动量近似边界层模型以及弱非线性边界层模型进行了总结和分析,阐述了Ekman层主要动力学特征。通过分析上述各模型的理论框架,揭示了各模型的物理意义及其在描述Ekman边界层基本动力特征上的优点和局限性,并指出尽管在细节定量描述上有差异,但各中间模型对Ekman层动力学特征的定性描述具有很好的一致性。对于这些Ekman边界层近似理论模型的进一步应用问题,主要回顾和总结了利用上述模型探讨地形边界层结构、大气锋生过程、低层锋面结构和环流以及边界层日变化、低空急流形成等动力学问题的研究,并对这些研究所揭示的Ekman层动力学特征及其对自由大气低层运动的影响进行了分析,结果表明,这些Ekman边界层近似模型可以较好地揭示大气边界层动力学特征,在大气边界层动力学及其与自由大气相互作用的研究上具有重要价值。另外,还对目前Ekman边界层理论研究中存在的问题进行了一些分析,提出了有待进一步研究的科学问题。     

斜压性对地转动量Ekman流的影响—理论分析

本文研究了斜压效应对地转动量Ekman流的影响。利用两变量奇异摄动方法求得了边界层中风场及顶部垂直速度的前二级一致有效渐近解析解，解中明显地反映了斜压情形地转风随高度变化（即热成风）的影响，尤其是其中一级近似解完全由热成风影响所致。在边界层顶垂直速度的解中导出了三种由斜压效应引起的Ekman抽吸新物理因子，即热成风形变、热成内涡度及热成风涡度交叉项等抽吸因子。分析表明，这些因子只在具有水平温度梯度不均匀的系统（譬如锋区）中方能出现。文中还对锋区内上述三种抽吸因子的动力特征作了具体的分析，指出在锋区这 样的强斜压系统中，此三种抽吸因子的贡献是显著的。下一文中，我们将利用本文所得理论解对斜压效应进行具体的定量计算。     

动量平流对混合边界层中的风场及其扰动稳定性的影响

提出了线性功量近似方案，并利用该方法讨论了动量平流对混合边界居中的风速、垂直速度、大气功能耗散的影响。同时讨论了动量平流、摩擦对风场扰动稳定性的影响，得到了一些有意义的结果。     

动量平流对混合连界层中的风场及其扰动稳定性的影响

提出了线性动量近似方案，并利用该方法讨论了动量平流对混合连界层中的风速、垂直速度、大气动能耗散的影响。同时讨论了动量平流、摩擦对风场扰动稳定性的影响，得到了一些有意义的结果。     

一次干次锋过程的边界层风场结构和尺度分析

本文利用南京北郊１６４米气象塔实测资料对一次非降水北冷锋过程的边界层风场结构一三维风速、横锋向水平散度、湍汉通量和能量的时空分布，以及多尺度时空分布进行了计算分析。结果表明，在冷暖空气的过渡区（锋区）风场各参量具有明显的梯度，锋区前缘的强上升气流与强冷锋相近，但锋区宽度较哟冷锋宽得多，其时间尺度为３０分钟，水平距离为３５公里，锋面过境对风湿场的影响时段为２４小时，在这期间，出现阵风浪涌和多种中、小     

中尺度模式中的边界层特征量分析

在中尺度数值天气预报模式MM4中，用level3及E-ε-l两种湍流闭合方法对原总体边界层参数化方案进行改进，使得中尺度模式中可以直接输出有关湍流量，并对地表通量参数化方案进行改进，进而对不同下势需如沙漠，植被上的有关湍流量和边界层特征量进行分析。研究中尺度系统中边界层结构的特征，本文主要从地表通量，湍流交换系数，湍流动能（q^2)，温度脉动方差（θ^2)及风温廓线等几个方面进行研究，结果表明，新方案能更好地反映边界层特征。     

大涡模式分辨率对海洋信风区大气边界层结构和演变模拟的影响

利用BOMEX（巴巴多斯海洋与气象学试验）的探空资料和LEM（大涡模式）,通过改变LEM水平分辨率的敏感性数值试验,对比分析不同尺度的湍涡对信风积云边界层中混合层和云层的结构、演变以及对流形式和强度的影响。结果表明,水平分辨率较高时模拟的湍涡尺度较小、混合层顶的夹卷作用较强,模拟的混合层较暖、较干,而且模拟的对流泡尺度较小、强度较大,能够模拟出较精细的边界层结构;而水平分辨率较低时则相反。模拟的湍涡尺度对海洋信风区边界层积云中液态水混合比的模拟结果影响较大:LEM模拟的湍涡尺度较小时模拟的信风积云形成的时间较早、云顶高度较高,单个云块的体积较小但数目较多,液态水含量较高;而模拟的湍涡尺度较大时则相反。虽然水平分辨率为50 m和125 m的试验都能模拟出较精细的信风边界层中混合层、云层的结构和演变特征,但是,考虑到提高分辨率在模拟过程中产生的噪音信号对结果的影响以及计算时间等问题,LEM采用125 m的水平网格距是对海洋信风边界层积云对流模拟较为理想的选择。      

The Distribution and Uncertainty Quantification of Wind Profile in the Stochastic General Ekman Momentum Approximation Model

The general Ekman momentum approximation boundary-layer model(GEM) can be effectively used to describe the physical processes of the boundary layer. However, eddy viscosity, which is an approximated value, can lead to uncertainty in the solutions. In this paper, stochastic eddy viscosity is taken into consideration in the GEM, and generalized polynomial chaos is used to quantify the uncertainty. The goal of uncertainty quantification is to investigate the effects of uncertainty in the eddy viscosity on the model and to subsequently provide reliable distribution of simulation results. The performances of the stochastic eddy viscosity and generalized polynomial chaos method are validated based on three different types of eddy viscosities, and the results are compared based on the Monte Carlo method. The results indicate that the generalized polynomial chaos method can be accurately and efficiently used in uncertainty quantification for the GEM with stochastic eddy viscosity.     

A barotropic model of the Ekman planetary boundary layer based on the geostrophic momentum approximation

A model of a stationary planetary boundary layer is proposed based on the equation of motion with the advective term retained. The latter is modeled by means of the so-called geostrophic momentum approximation in two versions — original and modified. New expressions for the vertical velocity W at the top of the boundary layer are derived and analyzed. They underestimate W compared to the classical expression.     

The influence of the geostrophic wind advection approximation on a well-mixed layer

Numerical results indicate that advection of momentum in the boundary layer may significantly alter both the structure of the planetary boundary layer and its influence on the overlying free atmosphere. However, due to the nonlinearity of the inertial terms, it is always difficult to obtain the analytical solution of the boundary-layer model that retains the flow acceleration. In order to overcome this difficulty, the geostrophic momentum (hereafter GM) approximation has been introduced into boundary-layer models. By replacing the advected momentum with the geostrophic wind, the effect of the flow acceleration is partially considered and the original nonlinear partial differential equation set is converted to ordinary differential equations, the solutions of which can be obtained easily with standard techniques. However, the model employing GM fails to capture the features of the boundary layer when the spatio-temporal variation of the boundary-layer flow cannot be properly approximated by the geostrophic wind. In the present work, a modified boundary-layer model with the inertial acceleration in a different approximate form is proposed, in which the advecting wind instead of the advected momentum is approximated by the geostrophic wind (hereafter GAM).Comparing the horizontal velocity and boundary-layer pumping obtained from the classical Ekman theory, and the model incorporating (i) GM and (ii) GAM, it is found that the model with GAM describes most facets of the steady well-mixed layer beneath a north-westerly flow with embedded mesoscale perturbations that is considered in the present work. Inspection of the solution of the model with GAM shows that, within the limit of the validation of the model (i.e., the Rossby number R_O is not very large and the drag coefficient C_D is not too small), the horizontal convergence (divergence) is strengthened by the effect of the inertial acceleration in the region of maximum positive (negative) geostrophic vorticity. Consequently, the boundary-layer pumping there is intensified. It is found that the intensification is firstly strengthened and then weakened as R_O or C_D increases.     

荒漠绿洲边界层结构的数值模拟

陆-气相互作用和中小尺度天气系统的研究中,水平不均匀边界层和水平不均匀地表的强迫作用都是重要的物理过程.本文用已建立的陆面过程与大气边界层耦合模式(BLCM),较详细地研究了草地周围为荒漠(半沙漠)的地表植被不均匀而造成的边界层结构特征和局地环流及其昼夜变化.通过边界层顶影响自由大气不同尺度的运动.模式结果揭示出最强的上升和下沉运动是发生在荒漠-草地间动力和热力不连续的界面附近,且呈现出不对称性.     

Nocturnal stable boundary layer height model and its application

A model of the evolution of the nocturnal stable boundary layer height, based on the heat conservation equation for a turbulent flow, is presented. This model is valid for nights with weak winds and little cloudiness in rural areas. The model includes an expression of vertical profile of potential temperature within the boundary layer, which is obtained using micrometeorological information from Prairie Grass, Wangara and O'Neill Projects. The expression turned out to be a second-grade polynomial of the dimensionless height of the nocturnal stable boundary layer. The resulting model is a function of the Monin–Obukhov length, the surface potential temperature of air and the roughness length. This model was satisfactorily compared with micrometeorological data. It was applied at three stations of Argentina, using surface hourly meteorological information. From the results that were obtained, the monthly average values of the stable boundary layer thickness were analysed. The maximum monthly average values occur during the cold season and the minimum ones take place during the hot season. It was observed that the monthly average thickness increases with latitude.     

日间对流边界层中的非局地动量混合

日间对流边界层最显著的结构特征是在热力作用下所形成的组织化对流。与小尺度湍涡不同的是,组织化对流具有边界层尺度的垂直相干性,可实现垂直贯穿边界层的非局地物质和能量传输。本文针对对流边界层中的动量混合,探究组织化对流对动量输送的贡献。以高精度大涡模拟数据为研究资料,通过傅里叶变换、本征正交分解和经验模态分解3种滤波方法,分离组织化对流和背景湍涡,计算与两者相关的非局地和局地动量通量,发现与组织化对流相关的非局地动量通量是总通量的重要组成部分,并主导混合层中的垂直动量输送。而后,基于协谱和相位谱分析,探究组织化对流的空间结构对动量传输的影响,发现在热力主导的不稳定环境中,单体型环流结构对动量的传输效率较低。而在风切较强的近中性环境中,滚涡型组织化结构可使垂直和水平流向扰动速度的相位差减小,从而提升动量传输效率。研究结果表明,边界层方案需要包含非局地动量通量项,其参数化应考虑整体稳定度对传输效率的影响。     

An Idealized Mean Wind Profile for the Atmospheric Boundary Layer

We test a flexible, idealized mean wind profile for the loweratmosphere that can easily be matched to whatever windobservations may be available. Its intended function is to providea `best guess' wind profile from limited observations, e.g., foruse in dispersion models, and to this end, following earlierauthors, we have matched a Monin–Obukhov layer to a baroclinic Ekman layer.To demonstrate the flexibility of the two-layer wind profile, weoptimize its free parameters to provide best interpolative fits toa sample of multi-level wind profiles. These include model windprofiles extracted from the Canadian Global EnvironmentalMulti-scale weather model (GEM), as well as experimental profilesfrom the Wangara experiment, and from an over-ocean dispersionexperiment (LROD). In most cases the two-layer profile fit issatisfactory.     

WRF模式边界层参数化方案对西南低涡模拟的影响

应用中尺度数值模式WRF(V3.3版本)选用4种行星边界层参数化方案(YSU、ACM2、MYJ和NOPBL)对2011年6月16—18日造成强降水的西南低涡过程进行敏感性试验,对比分析不同边界层参数化方案对西南低涡过程模拟的影响。模拟结果表明:4种边界层参数化方案均能较好地模拟出西南低涡以及暴雨带的东移,其中YSU方案对低涡路径、强度及降水的总体模拟效果最好。YSU和ACM2方案,与MYJ和NOPBL方案相比,模拟的低涡中心区域正涡度柱和垂直上升运动较强,达到的垂直高度更高。造成这种差异的主要原因是对边界层上的夹卷效应以及垂直混合作用考虑的不同。不考虑边界层作用的NOPBL方案模拟的地表风速异常偏大,造成地表热通量明显偏强、边界层高度偏高。YSU、ACM2和MYJ 3种方案模拟的边界层高度和热通量的日变化比较一致,夜间基本维持少变,白天变化大,其中MYJ模拟的边界层高度和热通量较大,ACM2模拟的较小。地表风速是造成热量输送以及边界层高度模拟差异的主要因子。