Turbulent characteristics and bulk transfer coefficients over the desert in the HEIFE area

Observations of surface-layer turbulence and turbulent fluxes were made over a desert in northwestern China as a part of HEIFE (HEIhe river Field Experiment). These show that the normalized variations of the vertical wind component and of the air temperature obey Monin-Obukhov similarity well, especially in free convective conditions. However, the variations of specific humidity do not obey Monin-Obukhov similarity.Mean bulk transfer coefficients of sensible heat and momentum flux are obtained as functions of stability over a wide stability range from the observed data of turbulent fluxes and mast profiles. However, the bulk transfer coefficient for water vapor could not be obtained because of the large scatter of the data. In free convective conditions, the sensible heat flux was found to be approximately proportional to the 1.4 power of temperature difference between the surface and 20m. The bulk transfer coefficient of sensible heat is also obtained as a function of the bulk Richardson number for practical convenience.     

The dependence of the bulk Richardson number on stability in the surface layer

Relationships between the bulk Richardson number, B, and other stability parameters were derived for the atmospheric surface layer. Nomograms were constructed, relating the Monin-Obukhov stability parameter, z/L, to B. The nomograms and the graph of Golder (1972) were used to establish various schemes for classifying z/L, B and Ri, in terms of the Pasquill stability classes.     

Relations among stability parameters in the surface layer

Observations at 5 sites have been analyzed to determine relations among variables used to assess the effect of stability on dispersion. The variables compared were Monin-Obukhov length, Richardson number, bulk Richardson number and Pasquill and Turner categories. All the relationships differ with different terrain roughness.     

COMPARISON OF SOME LIMITS FOR STABILITY CLASSIFICATION

1 INTRODUCTION Used in a number of models for pollution dissipation as the only factor to define the state of atmospheric turbulence or describe the capability of atmospheric diffusion, atmospheric stability is one of the essential parameters in the study on the atmospheric boundary layer. Whether the stability is correctly categorized immediately affects the computations of diffusion models with plumes of various types. Much work has been done at home and abroad on the classification of s…     

人工植被和流动沙丘近地面层湍流通量的计算

提出了由Ｂｕｓｉｎｇｅｒ建议的无量纲廓线通用函数形式的近地面层稳定度参数ζ的相似方程分析解。代替了以往采用数值迭代法求ζ，并应用于沙漠人工植被和裸露流动沙丘上的实例资料分析。采用目前广泛应用的空气动力学方法，分别计算了动量和热量交换系数，感热和潜热通量，并由波文比－能量平衡方法进行了验证。结果表明：采用Ｂｕｓｉｎｇｅｒ无量纲通量廓线关系形式的近地面层稳定度参数ζ的相似方程分析解，代替以往惯用的数值     

The stability functions in the bulk similarity formulation for the unstable boundary layer

An update is presented for the functionC in the heat transfer equation and for the functionB _w in the momentum transfer equation of the bulk similarity approach for the atmospheric boundary layer (ABL). Motives for this update are recent developments in the formulation of Monin-Obukhov functions for the surface layer, and the availability of the new data set of FIFE-89, the 1989 phase of the First ISLSCP Field Experiment, which took place over the same hilly prairie terrain in north-eastern Kansas as the 1987 phase, i.e., FIFE-87. Functional forms developed in earlier studies are considered. In addition, a new form is derived based on a simple dual structure of the ABL. The functions are calibrated with the data set obtained during FIFE-87; the results are then verified with the independent data set acquired during FIFE-89.Formerly at Cornell University.     

A Validation of CloudSat and CALIPSO's Temperature,Humidity, Cloud Detection,and Cloud Base Height over the Arctic Marine Cryosphere

Abstract

This study presents a semi‐analytic non‐iterative solution for the Monin‐Obukhov similarity equations under unstable surface conditions. The solution is represented in terms of the non‐dimensional Monin‐Obukhov stability parameter z/L. This parameter is given as a function of the bulk Richardson number and other surface parameters including the heat and momentum roughness lengths which are generally assumed to be different in this formulation. The proposed formulations give results that are both quantitatively and qualitatively consistent with the fully iterated numerical solution for a wide range of surface parameters.     

Modelling of the Evolving Stable Boundary Layer

A single-column model of the evolving stable boundary layer (SBL) is tested for self-similar properties of the flow and effects of ambient forcing. The turbulence closure of the model is diagnostic, based on the K-theory approach, with a semi-empirical form of the mixing length, and empirical stability functions of the Richardson number. The model results, expressed in terms of local similarity scales, are universal functions, satisfied in the entire SBL. Based on similarity expression, a realizability condition is derived for the minimum allowable turbulent heat flux in the SBL. Numerical experiments show that the development of “horse-shoe” shaped, fixed-elevation hodographs in the interior of the SBL around sunrise is controlled by effects imposed by surface thermal forcing.     

Methodology for bulk approximation of the wind profile power-law exponent under stable stratification

The variation of the wind profile power-law exponent (p) with respect to changes in atmospheric stability is depicted using the formulation of Ku et al. (1987) for specifying the Monin-Obukhov scaling length (L) under stable atmospheric conditions. The theoretical estimates for the bulk approximation of p as a function of L under stable conditions compare well with power-law exponent data from various sources and the theoretical analysis from Irwin (1979).     

Measurements and Modelling of the Wind Speed Profile in the Marine Atmospheric Boundary Layer

We present measurements from 2006 of the marine wind speed profile at a site located 18 km from the west coast of Denmark in the North Sea. Measurements from mast-mounted cup anemometers up to a height of 45 m are extended to 161 m using LiDAR observations. Atmospheric turbulent flux measurements performed in 2004 with a sonic anemometer are compared to a bulk Richardson number formulation of the atmospheric stability. This is used to classify the LiDAR/cup wind speed profiles into atmospheric stability classes. The observations are compared to a simplified model for the wind speed profile that accounts for the effect of the boundary-layer height. For unstable and neutral atmospheric conditions the boundary-layer height could be neglected, whereas for stable conditions it is comparable to the measuring heights and therefore essential to include. It is interesting to note that, although it is derived from a different physical approach, the simplified wind speed profile conforms to the traditional expressions of the surface layer when the effect of the boundary-layer height is neglected.     

不同下垫面空气动力学参数的研究

文中利用中国科学院沙漠研究所与日本国家农业环境技术研究所合作于1990—1994年在中国内蒙古自治区奈曼市半干旱地区沙丘和植被区下垫面观测的微气象数据,根据Monin-Obukhov相似性理论,计算了重度干扰草原、中度干扰草原、轻度干扰草原、无干扰草原、沙丘、沙丘内地、草地、稻田、小麦田、大豆田和玉米田11种下垫面的空气动力学参数粗糙度长度z0,零平面位移d,摩擦速度u*,并分析了它们与水平风速u和Richardson数的关系,比较了不同人为干扰草原生态系统条件下的空气动力学特征。结果表明:地表生物量和覆盖率随着人为干扰强度的增加而减少。不同人为干扰下垫面的粗糙长度与生物量和植被高度以及地表起伏程度有着密切关系;Richardson数也是其影响因子。风速、粗糙度都与摩擦速度成正相关,但对于不同下垫面有所不同,从中可以看到草地对沙漠化有一定的防治作用。同一种下垫面不同时期的空气动力学参数也存在差异。这些结果对建立陆面过程和区域气候模式具有重要的意义。     

Modelling Near-Surface Low Winds over Land under Stable Conditions: Sensitivity Tests,Flux-Gradient Relationships,and Stability Parameters

Low or weak wind-speed conditions, roughly defined as the periods when the mean wind speed at 10 m above the ground is 2 ms⁻¹ or less, are of considerable practical interest. However, they are not readily amenable to treatment within prognostic meteorological models and, consequently, difficult to predict, especially when the ambient stability is strong. In this paper, we apply an E − ε prognostic meteorological model to simulate near-surface meteorology and, focusing on low wind speeds, compare the predictions with measurements from two independent datasets. A sensitivity analysis is performed to investigate the possible reasons for the relatively inferior model performance for low winds when the atmosphere is stably stratified. A comprehensive data analysis is carried out to study low wind stable conditions, concentrating on the validity of various forms of flux–gradient relationships for momentum and heat within the framework of the Monin-Obukhov similarity theory, which models employ for calculating surface fluxes. The observed behaviour of various stability parameters, such as the Richardson number, is investigated. The results point to inadequacies of the current flux–gradient relationships, especially regarding momentum, under strongly stable conditions as being a dominant reason for the poor low wind predictions. The modelling issues identified are not just restricted to the present model, but are general in nature. The use of an alternative stability function for momentum under strongly stable conditions is explored. It results in improved model performance for low winds; however, further research is needed to better understand strongly stable flows in the lower atmosphere and to develop methods that can translate that understanding to operational meteorological modelling.     

Classification of the stratified atmospheric boundary layers at Molve (Croatia) based on the similarity theory

Summary The stability parameter μ is suggested as the one which is determinable with satisfying accuracy for routine application by means of commonly accessible meteorological data at the Molve location (Croatia). The similarity functions applied for vertical wind speed simulation in the planetary boundary layer (PBL) at Molve were useful for the determination of local stability classes. Universal similarity functions were applied for unstable and neutral stability, whereas local similarity functions were established for stable stratification. Wind speed simulations were performed using two types of wind models. The Monin-Obukhov similarity theory was included in both types. However, it turned out that for the operative determination of the stability of the 35 m deep lowest layer, the stability parameter μ was locally a better stability parameter than the Monin-Obukhov parameter z/L. That was possibly because 35 m deep lowest layer sometimes (depending upon stability) includes a large proportion of the Ekman layer and parameter μ is originally designed for the deeper part of PBL than z/L that is originally designed for the surface layer. At Molve, the input data for local wind models as well as for the stability parameter μ were wind speed at 35 m and temperature at 2 and 35 m above the ground.     

The Critical Richardson Number and Limits of Applicability of Local Similarity Theory in the Stable Boundary Layer

Measurements of atmospheric turbulence made over the Arctic pack ice during the Surface Heat Budget of the Arctic Ocean experiment (SHEBA) are used to determine the limits of applicability of Monin–Obukhov similarity theory (in the local scaling formulation) in the stable atmospheric boundary layer. Based on the spectral analysis of wind velocity and air temperature fluctuations, it is shown that, when both the gradient Richardson number, Ri, and the flux Richardson number, Rf, exceed a ‘critical value’ of about 0.20–0.25, the inertial subrange associated with the Richardson–Kolmogorov cascade dies out and vertical turbulent fluxes become small. Some small-scale turbulence survives even in this supercritical regime, but this is non-Kolmogorov turbulence, and it decays rapidly with further increasing stability. Similarity theory is based on the turbulent fluxes in the high-frequency part of the spectra that are associated with energy-containing/flux-carrying eddies. Spectral densities in this high-frequency band diminish as the Richardson–Kolmogorov energy cascade weakens; therefore, the applicability of local Monin–Obukhov similarity theory in stable conditions is limited by the inequalities Ri < Ri _cr and Rf < Rf _cr. However, it is found that Rf _cr  =  0.20–0.25 is a primary threshold for applicability. Applying this prerequisite shows that the data follow classical Monin–Obukhov local z-less predictions after the irrelevant cases (turbulence without the Richardson–Kolmogorov cascade) have been filtered out.     

The variations of the statistics of wind,temperature and humidity fluctuations with stability

Measurements of the turbulent fluctuations of wind, temperature and humidity were made in the atmospheric surface layer. The statistics of the fluctuations were investigated in both the time and frequency domains. The vertical wind, temperature and smaller-scale horizontal wind fluctuations appear to obey the Monin-Obukhov similarity hypothesis. The humidity fluctuations were found to be governed by a humidity flux stability parameter rather than the normal Monin-Obukhov length.     

湍流通量参数化方案的非迭代方法研究

基于Högström (1996) 和Beljaars et al.(1991) 的研究工作, 沿用Louis et al.(1982) 和Launiainen (1995) 的思路, 本文采用多元回归分析方法, 研发了一种采用非迭代方法的湍流通量参数化方案。该方案直接用整体理查森数、 空气动力学粗糙度长度和热力学粗糙度长度对稳定度参数进行参数化, 从而避免了通过循环迭代计算Monin－Obukhov长度。该方案不仅有效地节省了CPU计算时间, 而且其计算结果与迭代方案 (BHH方案) 的计算结果非常接近。     

理查逊数和晴空颠簸的关系

对切变气流中重力内波的稳定性进行了数值计算，结果表明，判别晴空颠是否发生的临界Ｒｉ数随波长，层结稳定度和基本气流变强度的不同而有所变化，预报业务中用Ｒｉ〈０．２５作为预报晴空的指标易出现空报。     

Derivation of water vapor fluxes from Lidar measurements

Two techniques are described by which the flux of water vapor can be derived from concentration measurements made by a Raman-Lidar. Monin-Obukhov similarity theory and dissipation techniques are used as the basis for these methods. The resulting fluxes are compared to fluxes from standard point instruments. The techniques described are appropriate for measuring the flux of any scalar quantity using Lidar measurements in the inner region of the boundary layer.     

High-Order Statistics of Temperature Fluctuations in an Unstable Atmospheric Surface Layer over Grassland

Skewness(S) and kurtosis(K) of temperature in the surface layer over a grassland are investigated under unstable thermal stratifications. We find that both skewness and kurtosis generally obey Monin–Obukhov similarity theory and tend to be constant values(1.5 and 5.3, respectively) when the stability parameter z/L -2. Quantitative formulas of the similarity functions are proposed. The temperature probability density function(PDF) is close to Gaussian in near neutral stratification and non-Gaussian in unstable stratification. The influence of coherent motions on the PDF behavior is analyzed using the quadrant analysis technique. It shows that PDF behaviors are controlled by ejections and sweeps. The results also indicate that the PDF type of the ejections always follows a Gaussian distribution, while the PDF of the sweeps changes with stability.