Moist Potential Vorticity Anomaly with Heat and Mass Forcings in Torrential Rain Systems

The moist potential vorticity (MPV) equation is derived from complete atmospheric dynamic equations with both heat and mass forcings,with which the impermeability theorem of the “MPV substance” is proven.It is clarified that both heat and mass forcings induced by the intensive precipitation in torrential rain systems can lead to the MPV anomaly.The MPV substance anomaly is a dynamical tracer for tracking a torrential rain system.     

格子Boltzmann模型平衡分布边界条件和多棱柱排列渗流流场的数值模拟

介绍了适用于多种流场数值模拟的无滑动格子Boltzmann平衡分布边界条件，这一边界条件是以Bounce-Back方法为基础并满足质量、动量守恒的准则.数值计算结果表明平衡分布边界条件克服了Bounce-Back方法在边界上所产生的滑动速度误差效应.利用平衡分布边界条件数值模拟了由棱柱形充填粒子构成的微尺度渗流流场中的Darcy-Forchheimer方程，通过与Lee 和Yang的数值结果比较，该预测结果是足够可靠的. 关键词： 平衡分布边界条件 渗流介质 Darcy-Forchheimer阻力     

Derivation of baroclinic Ertel–Rossby invariant-based thermally-coupled vorticity equation in moist flow

For the potential vorticity （PV） invariant, there is a PV-based complete-form vorticity equation, which we use heuris- tically in the present paper to answer the following question： for the Ertel-Rossby invariant （ERI）, is there a corresponding vorticity tendency equation？ Such an ERI-based thermally-coupled vorticity equation is derived and discussed in detail in this study. From the obtained new vorticity equation, the vertical vorticity change is constrained by the vertical velocity term, the term associated with the slope of the generalized momentum surface, the term related to the horizontal vorticity change, and the baroclinic or solenoid term. It explicitly includes both the dynamical and thermodynamic factors＇ influence on the vorticity change. For the ERI itself, besides the traditional PV term, the ERI also includes the moisture factor, which is excluded in dry ERI, and the term related to the gradients of pressure, kinetic energy, and potential energy that reflects the fast-manifold property. Therefore, it is more complete to describe the fast motions off the slow manifold for severe weather than the PV term. These advantages are naturally handed on and inherited by the ERI-based thermally-coupled vorticity equation. Then the ERI-based thermally-coupled vorticity equation is further transformed and compared with the traditional vorticity equation. The main difference between the two equations is the term which describes the contribution of the solenoid term to the vertical vorticity development. In a barotropic flow, the solenoid term disappears, then the ERI-based thermally-coupled vorticity equation can regress to the traditional vorticity equation.     

2009年一次华北强桑拿天气过程的动力识别

本文数值模拟并诊断分析了2009年7月华北的一次桑拿天过程, 分析了高温高湿天气的环流特征, 温度、 湿度的水平和垂直分布特征, 位涡分布特征等. 分析发现, 此次桑拿天事件高层为反气旋性环流的高压控制, 水平分布图上, 低层相对湿度大. 垂直剖面上, 中低层为下沉气流和暖湿区, 有明显的水汽梯度和垂直温度梯度, 有倾斜的位涡分布. 既然桑拿天发生在夏季普遍高温的大环境之下, 因此靠单纯的温度或湿度来动力识别和诊断桑拿天, 有较大难度. 本文抓住华北地区桑拿天过程高温、 高湿、 高位涡的特点, 引入一个适合于桑拿天的湿热力位涡参数(MTPV, 它表示为▽ q · (▽ θ × ▽ Q), 这里q是湿度, 表示为大气或者云中水汽和所有水凝物的总和, θ 是位温, Q是位涡), 对桑拿天进行动力诊断分析, 并通过实际个例的计算分析作出简化. 个例分析发现, 此次高温高湿的桑拿天过程伴随MTPV的异常. 虽然2009年7月此次华北地区桑拿天过程有较高的温度, 较大的湿度和倾斜位涡发展, 但是单个变量的范围远大于我们要研究的华北地区桑拿天的爆发范围. 而结合这三个变量引入的MTPV及其简化形式, 无论从经向还是纬向剖面图来看, MTPV的异常大值区相对集中在北京及其周边的华北地区对流层的低层, 并维持. 因而, MTPV及其简化形式均能对此次高温高湿的桑拿天进行较好的动力识别。     

有限区域风场分解方法及其在台风SAOMEI研究中的应用

介绍了有限区域水平风场分解的调和-余弦计算方法,该方法把函数分成两部分之和.第一部分是Laplace方程在给定边界条件下的解,由于Laplace方程的解是调和函数,这个部分可称为调和部分,又因为其与区域内部值无关,也称外部部分.第二部分是原始函数与调和部分之差,这个函数是齐次边条件下Poisson方程的解,只与区域内部的涡度或散度有关,故称为内部部分,可以展开成双傅氏的余旋函数系列.调和-余弦计算方法的求导都是用谱系数进行,计算精度比常用的差分方法高两阶以上.而且,由于外部部分对应的边界条件物理意义清楚,边界光滑,成功克服了有限区域流函数和速度势迭代求解出现的计算不稳定、原始风场无法还原、边界上的系统缺失等问题,可以准确分解和重建有限区域的风场.利用NCEP/NCAR 1°×1°的实时分析资料和日本气象厅区域谱模式(RSM)20km分辨率的再分析资料,利用调和-余弦算法得到的无辐散风分量和无旋风分量,对2006年的8号超强台风“桑美"(SAOMEI)进行风场结构的比较分析.结果发现,低层无辐散风比原始风场与台风中心的对应关系更好;同时,无旋风分量能更好地显示原始风场上并不明显的低层辐合高层辐散的特征,大尺度无辐散风分量可以更清晰地显示出台风的水汽输送通道.从与台风中心的对应关系看,台风在海上发展阶段,SAOMEI台风的旋转中心与辐合中心并不是时时重合,这个特点只能通过风场分解才能得到.此外,SAOMEI登陆以后,南部洋面上发展起来的对流活动从水汽和能量补充方面都不利于SAOMEI的维持.可见,分解后的无辐散风场和无旋风场能更清楚地体现出SAOMEI的风场结构,在台风结构分析中有重要的推广应用价值. 关键词： 台风 水平风场分解 调和-余弦算法     

Precipitation efficiency and its relationship to physical factors

The precipitation efficiency and its relationship to physical factors are examined by analyzing a two-dimensional cloud-resolving model simulation during TOGA COARE in this study. The basic physical factors include convective avail- able potential energy, water-vapor convergence, vertical wind shear, cloud ratio, sea surface temperature, air temperature, and precipitable water. Precipitation efficiencies do not show a close relationship to air temperature nor to sea surface tem- perature nor to precipitable water. The precipitation efficiency increases as the water-vapor convergence rate increases and vertical wind shear weakens, whereas it decreases as the convective available potential energy dissipates and anvil clouds develop.     

Effect of a New Eliassen-Palm Flux on Barotropic Basic Flow

We investigate the interaction of eddy and barotropic basic flow in virtue of a new Eliassen-Palm (EP) flux, without introducing residual meridional circulation, by using a multi-scale method. The results show that the evolution of the zonally symmetric barotropic basic flow is completely dominated by the new zonal-averaged EP flux divergence.     

从流场分解角度改进Q矢量分析方法及其在暴雨动力识别中的应用

依据水平风场分解思路,运用调和.余弦算法,准确分解有限区域Q矢量.根据已有的关于Q矢量散度和新发展的Q矢量涡度与天气系统对应关系的研究,运用分解得到的Q矢量旋转分量场和辐散分量场,改进传统Q矢量分析方法中单纯依靠Q矢量水平散度场进行的诊断分析.通过对一次暴雨个例的比较研究表明,在雨带形势和暴雨中心位置的动力识别方面,改进的Q矢量分析方法比传统的单纯依靠Q矢量散度分析方法具有更好的效果.     

Revisit to frozen-in property of vorticity

Considering some simple topological properties of vorticity vector, the frozen-in property of vorticity herein is revisited. A vortex line, as is analogous to velocity vector along a streamline, is defined as such a coincident material(curve) line that connects many material fluid elements, on which the local vorticity vector for each fluid element is also tangent to the vortex line. The vortex line evolves in the same manner as the material line that it is initially associated with. The vortex line and the material line are both oriented to the same directions, and evolve with the proportional magnitude, just like being ‘frozen' or ‘glued' to the material elements of the fluid under the barotropic assumption. To relax the limits of incompressible and barotropic atmosphere, the frozen-in property is further derived and proved in the baroclinic case. Then two effective usages are given as examples. One is the derivation of potential vorticity conservation from the frozen-in property in both barotropic and baroclinic atmospheres, as a theory application, and the other is used to illuminate the vorticity generation and growth in ideal cases and real severe weather process, e.g., in squall line, tornado, and other severe convection weather with vortex. There is no necessity to derive vorticity equation, and this method is very intuitive to explain vorticity development qualitatively, especially for fast analysis for forecasters. Certainly, by investigating the evolution of vortex line, it is possible to locate the associated line element vector and its development on the basis of the frozen-in property of vorticity. Because it is simple and visualized, it manifests broad application prospects.     

Effects of water and ice clouds on cloud microphysical budget:An equilibrium modeling study

The effects of water and ice clouds on the cloud microphysical budget associated with rainfall are investigated through the analysis of grid-scale data from a series of two-dimensional cloud-resolving model equilibrium sensitivity simulations. The model is imposed without large-scale vertical velocity. In the control experiment, the contribution from rainfall （cM） associated with net evaporation and hydrometeor loss/convergence is about 29% of that from the rainfall （Cm） associated with net condensation and hydrometeor gain/divergence and about 39% of that from the rainfall （CM） associated with net condensation and hydrometeor loss/convergence. The exclusion of ice clouds enhances rainfall contribution of CM, whereas it reduces rainfall contributions of Cm and cM. The removal of radiative effects of water clouds increases rainfall contribution of CM, barely changes rainfall contribution of Cm and reduces the rainfall contribution of cM in the presence of the radiative effects of ice clouds. Elimination of the radiative effects of water clouds reduces the rainfall contributions of CM and Cm, whereas it increases the rainfall contribution of cM in the absence of the radiative effects of ice clouds.