Ekman动量近似下中间边界层模式中的风场结构

发展了一个准三维的、中等复杂的边界层动力学模式，该模式包含了EKman动量近似下的惯性加速度和Blackadar的非线性湍流粘性系数，它进一步改进了Tan和Wu(1993）提出的边界层理论模型。该模型在数值计算复杂性上与经典Ekman模式相类似，但由于包含了Ekman动量近似下的惯性项，使得该模式比传统Ekman模式更近于实际过程。中详细地比较了该模式与其他简化边界层模式在动力学上的差异，结果表明：在经典的Ekman模式中，由于忽略了流动的惯性项作用，导致在气旋性切变气流（反气旋性切变气流）中风速和边界层顶部的垂直速度的高估（低估），而在半地转边界层模式中，由于高估了流动惯性项的作用，结果与经典Ekman模式相反。同样，该模式可以应用于斜压边界层，对于Ekman动量下的斜压边界层风场同时具有经典斜压边界层和Ekman动量近似边界层的特征。     

边界层内冷锋流场的动力学特征

文中求解了锋面存在时地转动量近似下的大气边界层运动方程,得到了边界层内冷锋流场的一些特征,如冷锋坡度随地转涡度增加而增加,随地转风速时间倾向的增加而增加,随沿锋面传播方向的热成风分量的减少而增加。而边界层内冷锋面上下的流场与锋面坡度、地转风及其时空变化特征有关,共同特点是在冷锋面高度以下有下滑运动,而其上有一层上滑运动区。     

β-GMA与边界层动力学特征

本文研究了β平面中的地转动量近似(β-GMA)及其成立条件.利用β-GMA得到了一个描述Ekman动力学特征的动力学方程组.研究了β项和地转动量(GM)对Ekman层动力学的共同作用.结果表明,β-GMA下的解由两部分组成,一部分即为f-GMA下的解,另一部分为β项与GM的相互作用解.这样,一方面,β-GMA解由于β项存在,对一个定常纬向对称的高度场具有纬向非对称结构,而f-GMA解是纬向对称的.利用一个定常、轴对称的圆形涡旋例子计算了Ekman层的水平风速和边界层顶部的垂直速度,并与经典解、f-GMA解     

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。     

西南低涡Ekman层流场特征分析

本文利用大气边界模式，对1979年7月24－25日的一次西南低涡暴雨进行了Ekman层的流场分析。在理论计算的前提下，通过加入有限的实测风资料进行动力学调整，不仅在Ekman层中能较好地模拟出高层（850，700hPa）气旋环流特征，且发现西南低涡笔星边界层具有中尺度扰动的特征。在整个气旋环流中有局部的反气旋环流出现，这是850，700hPa 天气图上得不到的，且与边界层诊断分析相符合。     

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。     

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。     

经典Ekman流,Ekman层的平衡风场及其扰动稳定性

本文首先利用变分方法,考察了边界层运动能量的变化,指出经典Ekman流是在不可压缩条件下,能量积分达最小值时的一种平衡运动。这对Ekman层运动的物理本质有了进一步的认识。其次,讨论了Ekman动量近似下的Ekman层的平衡风场特征,研究了该平衡风场附近扰动的稳定性问题,结果表明,在自由大气气压场不发生扰动条件下,Ekman层中存在一类新的与惯性不稳定相类似的动力不稳定,且其不稳定性可与Ekman抽吸相联系,还讨论了一般性条件下的扰动不稳定性问题。     

大气边界层气象学研究综述

文中回顾了大气边界层气象学的发展历史，总结了目前大气边界层气象学的主要进展，并指出国内外在未来大气边界层气象学研究方面面临的一些主要科学问题，以及对未来大气边界层气象学的发展方向提出若干建议，同时还指出了大气边界层气象学在思想上和方法上应该注意的一些相关问题。     

EFFECTS OF OROGRAPHY AND AIR FLOW IN EKMAN BOUNDARY LAYER

It is convenient to use σ-coordinates to discuss the dynamic effect of orography and the flow inEkman boundary layer.In this paper,the theory of mixing length is generalized to the σ-coordinate system.Then the governing equations,describing the motion in the boundary layer over the mountain regions arederived.The features of flow in the boundary layer,especially the effects of Ekman pumping,are discussed indetails.It is pointed out that there are three factors affecting the vertical motion at the top of the boun-dary layer:(1)vorticity distribution in the boundary layer,which is directly related to the divergence andconvergence of air flow caused by friction,(2)the upslope or downslope motion of flow over the mountainslopes,and(3)the mutual effect of orography and friction induced by the ageostrophic component climbing up-ward or downward in the boundary layer over mountain regions.     

BAROCLINITY AND NONLINEAR EKMAN PUMPING DYNAMICS

With the Ekman momentum approximation,the influence of atmospheric baroclinity on the dynamics of boundarylayer is studied.Some new results are obtained.These results show that the atmospheric baroclinity plays an importantrole in altering the horizontal velocity of Ekman boundary layer and its angle with the horizontal wind velocity compo-nent near the surface.There are three different physical factors affecting the nonlinear Ekman suction,the vertical mo-tion at the top of boundary layer:first,barotropic geostrophic relative vorticity at the ground;second,the thermal windvorticity induced by the baroclinity;and third,the nonlinear interaction between the barotropic geostrophic relativevorticity and the baroclinic thermal wind vorticity.These results may provide a better physical basis for theparameterization of boundary layer and the interpretation of the numerical modeling results.     

DYNAMICAL CHARACTERISTICS OF THE STREAM FIELD OF COLD FRONT IN BOUNDARY LAYER

The motion equation of atmospheric boundary layer with cold front surface under geostrophicmomentum approximation is solved and some characteristics of the stream field for the cold frontsurface in the boundary layer are derived,for example,the slope of the cold front surface increaseswith the increases of geostrophic vorticity and the temporal tendency of geostrophic wind speed,and also increases with the decrease of the component of thermal wind speed along the motiondirection of the front:the stream field above and below the cold front surface in the boundary layerdepends on the slope of the front surface,geostrophic wind speed and its temporal and spatialdistributions.A common characteristic is that there exist updraft motion above the cold frontsurface and downdraft motion below it.     

EFFECTS OF OROGRAPHY AND AIR FLOW IN EKMAN BOUNDARY LAYER*

It is convenient to use σ-coordinates to discuss the dynamic effect of orography and the flow in Ekman boundary layer.In this paper,the theory of mixing length is generalized to the σ-coordinate system.Then the governing equations,describing the motion in the boundary layer over the mountain regions are derived.The features of flow in the boundary layer,especially the effects of Ekman pumping,are discussed indetails.It is pointed out that there are three factors affecting the vertical motion at the top of the boundary layer:(1) vorticity distribution in the boundary layer,which is directly related to the divergence and convergence of air flow caused by friction,(2) the upslope or downslope motion of flow over the mountain slopes,and(3) the mutual effect of orography and friction induced by the ageostrophic component climbing upward or downward in the boundary layer over mountain regions.     

大气边界层湍流标量场的概率分布及其特征分析

利用2004年11月在白洋淀地区和2005年1月在中国科学院大气物理研究所北京325 m气象塔的47 m高度由超声风温仪和水汽二氧化碳分析仪观测的湍流脉动资料,分析了大气边界层不同下垫面湍流标量场(温度、水汽和二氧化碳)的概率分布及其特征.标量场的概率分布通常不同于高斯分布,而且还会产生偏斜,可以用指数分布描述.因此,标量的偏斜度通常不为0,陡峭度也往往比3大.非0偏斜度的出现可能是由湍流时间序列中的相干结构和间歇性部分造成的.其中,相干结构的存在使概率分布偏斜,但是,它们对偏斜度的贡献相对较小,而与概率分布的长尾现象有关的间歇性则会使偏斜度大大增加.温度、水汽和二氧化碳的平均偏斜度和陡峭度反应了标量场与稳定度、下垫面、天气条件、源汇等因素之间的关系.在不同下垫面,温度和感热通量的偏斜度随稳定度变化比较一致;水汽通量的偏斜度在稳定和不稳定条件下都为正,而水汽本身在不稳定条件下可能出现负的偏斜度;二氧化碳和二氧化碳通量的偏斜度受下垫面影响很大,在不同下垫面,偏斜度与稳定度之间的关系并不一致;而3个标量的陡峭度随稳定度的变化不显著,它们与相应的偏斜度之间存在平方关系.     

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.