GRAPES模式动力框架的长期积分特征

通过考虑动量表面拖曳并利用牛顿松弛方法将温度松弛到纬向对称的温度场, 对GRAPES模式的动力框架进行了长期时间积分试验。通过统计分析其积分结果表明:GRAPES模式的动力框架可以模拟出大气环流的基本特征; 随着分辨率的提高, GRAPES模式动力框架的模拟结果显示出收敛的特性; 虽然GRAPES模式动力框架采用的是能量不守衡的半隐式半拉格朗日时间积分方案, 但长期时间积分试验表明其能量基本保持稳定。这些结果显示使用GRAPES模式动力框架作大气环流和气候研究的大气动力框架是可行的, 同时也为进一步改进GRAPES模式动力框架提供了线索和依据。     

数值模式垂直分辨率对台风大涡模拟的影响

随着计算能力的提升,台风数值模拟大量采用了大涡尺度模拟,其水平分辨率已达到数10 m的量级,而垂直分辨率提升不大,其问题是数值模式的垂直分辨率对台风大涡模拟的影响如何?因此,本文利用WRF(Weather Research and Forecasting)模式开展理想台风模拟,在不同的模式垂直层次(42,69和90层)情况下,研究并讨论数值模式垂直分辨率对台风大涡模拟的影响。结果表明,42层的垂直分辨率明显不足,而69层和90层的垂直分辨率则都能模拟出细致的台风边界层小尺度结构,龙卷尺度涡旋出现较多。与69层试验相比,90层试验模拟的台风强度要弱、龙卷尺度涡旋数量要少,但模拟的台风强度更稳定,模拟的小尺度涡旋也更精细。     

半隐式半拉格朗日动力框架的动能谱分析

大量的观测事实表明自由大气动能谱与波数之间满足如下关系:在大尺度区域满足E∝k-3关系,过渡到中尺度区域表现为E∝k-5/3关系.数值模式动能谱是测量模式动力框架的耗散的直接度量,而耗散对模式的性能有着重要影响,因此动能谱是研究和评估模式动力框架的非常规的有效方法.文中使用基于半隐式半拉格朗日动力框架的全球/区域一体化模式GRAPES进行数值模拟试验,然后计算GRAPES模式的动能谱并与实际观测得到的大气动能谱比较,得到GRAPES模式能够很好地复制出实际大气动能谱的分布特征,包括从大尺度区域的E∝k-3关系向中尺度的E∝k-5/3关系的过渡特征.并且发现GRAPES模式存在最大有效时间步长,当时间步长小于最大有效时间步长时,模式动能谱随时间步长增大而逐渐衰减;当时间步长大于最大有效时间步长时,模式动能谱随时间步长增大而虚假增长.同时通过与实际大气动能谱比较,发现模式动能谱在5Δx波长附近开始明显衰减,因此将5Δx波长定义为GRAPES模式的最高有效分辨尺度;当空间分辨率提高与时间步长等相协调时,中小尺度模式动能谱向中小尺度延伸而更接近实际大气动能谱;当空间分辨率提高与时间步长等不相协调时,中小尺度模式动能谱存在较大误差,相应的大尺度模式动能谱亦存在较大误差.此外,时间步长对模式spin up过程有着重要的影响,较小时间步长时,spin up过程能够很好发展出合理的动能谱结构,在物理空间上表现为模式能够在spin up时间内生成和发展出合理的中小尺度系统;而较大时间步长时,spin up过程很难发展出合理的动能谱结构,在物理空间上表现为模式未能在spin up时间内生成和发展出合理的中小尺度系统.最后,GRAPES模式动能谱与WRF模式动能谱具有一致性,GRAPES全球中期模式能够完美地模拟出大尺度的E∝k-3动能谱特征.综上所述,本文通过研究GRAPES模式动力框架的动能谱得到了一些有意义的结果,为进一步研究、完善、优化和应用模式提供了科学的指导,可见动能谱是评估模式动力框架的有效方法.     

中尺度数值模拟中的边界层多尺度湍流参数化方案

该文在多尺度湍流理论的研究成果基础上, 将边界层湍流风谱与平均量的梯度相联系, 建立了边界层多尺度湍流参数化子模式, 之后放入MM5模式中进行了个例模拟研究, 并与MM5模式附带的M RF边界层参数化、Blackadar高分辨率边界层参数化的模拟结果进行比较和分析。结果表明, 多尺度湍流理论能够反映出实际大气边界层中热量垂直输送的规律, 将其用于中尺度数值预报模式的边界层物理过程参数化是可行的; 多尺度湍流参数化在地表层和边界层内各个层次上都着重考虑含能量最大的涡的作用以及水平热力不均匀性的影响, 因此在地形和下垫面比较复杂的区域, 对中尺度天气系统的模拟有进一步发展的前景。     

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。      

大涡模拟试验中台风梯度风平衡分析

尽管经典台风强度理论是基于梯度风平衡模型,但是已有的飞机观测资料和数值模拟研究发现,边界层中和眼墙附近存在非梯度风平衡气流,前人数值模拟发现,眼墙附近最大的超梯度风可以达到切向风速的16.7%。大涡模拟可以模拟出滚涡和龙卷尺度涡旋等小尺度系统,这些小尺度系统对梯度风平衡可能产生影响,使用中尺度天气预报模式结合大涡模拟（WRF-LES）对模拟台风内核区域方位角平均的梯度风平衡进行了分析,三个大涡模拟试验的水平分辨率分别为333 m、111 m和37 m,结果表明非梯度风平衡气流并未因为分辨率提高而显著增强或产生结构差异,最大超梯度风出现在边界层顶处最大切向风半径的内侧,达到梯度风速的10.8%~16.1%。进一步分析发现,不同台风中心定位方法会影响非梯度风平衡气流,最小气压方差法和最大切向风法可以得到与前人模拟一致的结构,而气压权重法得到的低层超梯度风中心远离眼墙、靠近台风中心,位涡权重法得到的低层超梯度风的径向范围向内扩大,最小气压方差法和最大切向风法更适合用于梯度风平衡研究中的台风中心定位。     

不同边界层方案对一次华北暴雨数值模拟的敏感性研究

以2010年8月17—19日华北地区的暴雨事件为研究对象,采用中尺度数值模式WRF,通过8个数值实验测试暴雨事件模拟结果对不同边界层方案的敏感性。结果表明,采用不同边界层方案的模拟结果存在明显差异。分辨率为12 km时,7个边界层方案实验均模拟出类似观测的四处较强降水,但模拟得到的降水强度和强降水中心位置与实况有所差异,NOPBL实验模拟的雨带收缩,降水相对其他模拟实验较少且更为集中。分辨率为4 km时,采用边界层方案的7个实验均可见小尺度降水结构,模拟出较多虚假降水中心,而在NOPBL试验中降水的小尺度结构不明显。检验表明:分辨率为12 km时,MYJ试验的TS评分、相关系数和误差分析等整体表现最优,分辨率为4 km时,Bou Lac试验整体表现最优。与NOPBL试验相比,加入MYJ边界层方案后,模拟的水汽输送增加、上升运动及涡散度绝对值增大。     

尺度自适应大气边界层参数化改进及其对一次海雾的数值模拟研究

大气边界层湍流运动是地球大气运动最重要的能量输送过程之一。当数值模式分辨率接近活跃含能湍涡长度尺度时，湍流运动被部分解析，被称为“灰色区域”，传统的边界层方案不适合此时模式湍流问题的描述。为了提高模式边界层方案在包括“灰色区域”的不同网格尺度上的描述能力，适应不同分辨率模式的需要，在雷诺平均湍流理论基础上，修正Mellor-Yamada-Nakanishi-Niino (MYNN)方案湍流长度尺度参数和非局地湍流的参数表达，改进湿度和温度在“灰色区域”的湍流输送参数化及对网格尺度的自适应能力。利用改进的MYNN尺度自适应方案，分别采用3 km和1 km、1.5 km和0.5 km分辨率单向嵌套网格WRF中尺度模式，对2014年2月26日的一次黄海海雾过程进行模拟试验，检验不同分辨率下改进后的MYNN大气边界层参数化方案的合理性和对海雾的模拟效果。尺度自适应MYNN大气边界层参数化方案在千米级网格尺度上获得稳定、合理的湍流垂直输送计算结果。参照雾区卫星云图，不同分辨率模式低层云水混合比模拟结果具有稳定表现，模拟的雾区分布和温度、湿度等物理量结构都较好地再现了再分析“观测事实”，初步表明该参数化方案有较高的网格尺度自适应能力。      

大涡模式垂直分辨率在夹卷及示踪物垂直传输模拟结果分析中的作用

基于敦煌野外观测资料和大涡模式,研究了垂直方向不同尺度湍涡对夹卷及示踪物垂直传输的影响,明确了模式垂直分辨率在模拟结果分析中的作用。结果表明:垂直方向上小尺度湍涡对夹卷作用贡献更大,小尺度湍涡较多时夹卷层相对更暖,而夹卷层厚度、夹卷强度和风速变化受垂直方向湍涡尺度影响较小。当垂直分辨率为50 m时,越往夹卷层上部,上升气流和下沉气流分布较多且强度较大;分辨率为10、20和30 m时,夹卷层各高度垂直速度、位温和示踪物浓度分布较接近。另外,垂直方向湍涡尺度对示踪物垂直传输高度影响不大,而对示踪物的空间分布有一定作用。当大尺度湍涡较多且强度较强时,越有利于将高浓度的示踪物向上传输。综合考虑到模式采用较高分辨率模拟时产生的噪音及计算时间等问题,认为模式采用30 m的垂直分辨率,既能较好地模拟出夹卷层平均结构特征,又能模拟出夹卷层湍流的精细分布,是较为理想的选择。     

基于大涡模拟对两类典型边界层参数化方案的评估分析

在WRF模式的三维动力框架和同一种外强迫下,基于大涡模拟结果对Yonsei University(YSU)和Mellor-Yamada-Janiic(MYJ)边界层参数化方案进行了评估。模式初始场由一个探空观测给定,模式的外强迫为观测得到随时间变化的地面感热、潜热通量及辐射传输模式得到的辐射冷却率。通过显式解析边界层的大涡模拟试验和采用边界层参数化方案的模拟试验结果表明,与大涡模拟结果相比,YSU方案模拟的混合偏强,MYJ方案偏弱;YSU方案模拟的边界层高度偏高,边界层内偏暖、偏干;MYJ方案模拟的边界层高度偏低,边界层内偏冷、偏湿。     

Study of near-surface models for large-eddy simulations of a neutrally stratified atmospheric boundary layer

In large-eddy simulations (LES) of the atmospheric boundary layer (ABL), near-surface models are often used to supplement subgrid-scale (SGS) turbulent stresses when a major fraction of the energetic scales within the surface layer cannot be resolved with the temporal and spatial resolution at hand. In this study, we investigate the performance of both dynamic and non-dynamic eddy viscosity models coupled with near-surface models in simulations of a neutrally stratified ABL. Two near-surface models that are commonly used in LES of the atmospheric boundary layer are considered. Additionally, a hybrid Reynolds- averaged/LES eddy viscosity model is presented, which uses Prandtl’s mixing length model in the vicinity of the surface, and blends in with the dynamic Smagorinsky model away from the surface. Present simulations show that significant portions of the modelled turbulent stresses are generated by the near-surface models, and they play a dominant role in capturing the expected logarithmic wind profile. Visualizations of the instantaneous vorticity field reveal that flow structures in the vicinity of the surface depend on the choice of the near-surface model. Among the three near-surface models studied, the hybrid eddy viscosity model gives the closest agreement with the logarithmic wind profile in the surface layer. It is also observed that high levels of resolved turbulence stresses can be maintained with the so-called canopy stress model while producing good agreement with the logarithmic wind profile.     

城市建筑动力学效应对对流边界层影响的敏感性试验

本文将大涡模拟应用于城市对流边界层(CBL)湍流结构和流场特征的研究,在大涡模式中,拖曳系数取与建筑物高度及建筑物高度标准差有关的表达式以考虑次网格建筑物对风速和湍流动能(TKE)的面积平均影响.模拟结果表明,由于城市建筑物对气流的拖曳作用,使建筑物冠层及整个CBL内风速大幅度减小,城市冠层内部风速减小尤为明显,在夹卷层内,风速有一明显的跃变.在边界层中部对流运动已经发展成为较强的热泡,城市建筑物的动力学效应使热泡的水平尺度增大,CBL内平均上升气流速度和下沉气流速度减小,同时使CBL中上升气流所占比例比平坦地面增大.城市建筑物使CBL低层热通量、动量通量、速度方差和位温方差明显增大,但对近地层高度以上的湍流量影响不大.     

Large-Eddy Simulations of Atmospheric Flows Over Complex Terrain Using the Immersed-Boundary Method in the Weather Research and Forecasting Model

Atmospheric flow over complex terrain, particularly recirculation flows, greatly influences wind-turbine siting, forest-fire behaviour, and trace-gas and pollutant dispersion. However, there is a large uncertainty in the simulation of flow over complex topography, which is attributable to the type of turbulence model, the subgrid-scale (SGS) turbulence parametrization, terrain-following coordinates, and numerical errors in finite-difference methods. Here, we upgrade the large-eddy simulation module within the Weather Research and Forecasting model by incorporating the immersed-boundary method into the module to improve simulations of the flow and recirculation over complex terrain. Simulations over the Bolund Hill indicate improved mean absolute speed-up errors with respect to previous studies, as well an improved simulation of the recirculation zone behind the escarpment of the hill. With regard to the SGS parametrization, the Lagrangian-averaged scale-dependent Smagorinsky model performs better than the classic Smagorinsky model in reproducing both velocity and turbulent kinetic energy. A finer grid resolution also improves the strength of the recirculation in flow simulations, with a higher horizontal grid resolution improving simulations just behind the escarpment, and a higher vertical grid resolution improving results on the lee side of the hill. Our modelling approach has broad applications for the simulation of atmospheric flows over complex topography.     

黄河源区鄂陵湖湖面和湖边草地对流边界层湍流结构特征的大涡模拟研究

为研究黄河源区边界层湍流特征及其对物质和能量输送的影响,本文首次采用大涡模拟的方法,对比分析了黄河源区两种不同下垫面上（鄂陵湖和湖边草地）对流边界层（CBL）中精细的湍流结构特征。使用资料为2012年夏季黄河源区鄂陵湖流域野外观测实验的GPS探空资料、涡动相关观测资料。分析表明,模拟的黄河源区草地和湖上CBL的平均结构与实测结果吻合较好,但草地和湖上CBL的湍流结构特征差异较明显。模拟结果显示,草地CBL内湍能收支、湍流特征量的时空分布和湍涡结构特征均与陆地上热力驱动CBL的研究结果一致;湖上CBL顶部存在明显的对流卷特征,且夹卷层的湍流强度比草地的强,而草地近地面湍强则更大。通过改变水平分辨率的模拟试验,发现两个不同下垫面上模拟结果对模式分辨率的敏感性不同,湖面CBL的模拟要选择较高的水平分辨率（50～100 m）,以提高近湖面和夹卷层对湍流动能和湍流通量模拟的精度,也充分模拟出各种尺度的波对湍流通量的累积贡献。考虑到计算时间等影响,模拟草地边界层精细的湍流结构时建议选择网格距为100～200 m。     

On the Time Evolution of the Turbulent Kinetic Energy Spectrum for Decaying Turbulence in the Convective Boundary Layer

Our focus is the time evolution of the turbulent kinetic energy for decaying turbulence in the convective boundary layer. The theoretical model with buoyancy and inertial transfer terms has been extended by a source term due to mechanical energy and validated against large-eddy simulation data. The mechanical effects in a boundary layer of height z _i at a convective surface-layer height z = 0.05z _i are significant in the time evolution of the vertical component of the spectrum, i.e. they enhance the decay time scale by more than an order of magnitude. Our findings suggest that shear effects seem to feedback to eddies with smaller wavenumbers, preserving the original shape of the spectrum, and preventing the spectrum from shifting towards shorter wavelengths. This occurs in the case where thermal effects only are considered.     

A grid nesting method for large-eddy simulation of planetary boundary-layer flows

A method for performing nested grid calculations with a large-eddy simulation code is described. A common numerical method is used for all meshes, and the grid architecture consists of a single outer or coarse grid, and nested or fine grids, which overlap in some common region. Inter-grid communication matches the velocity, pressure and potential temperature fields in the overlap region. Resolved and sub-grid scale (SGS) turbulent fluxes and kinetic energy on the fine grid are averaged to the coarse grid using a conservation rule equivalent to Germano's identity used to develop dynamic SGS models.Simulations of a slightly convective, strong shear planetary boundary layer were carried out with varying surface-layer resolutions. Grid refinements in the (x, y, z) directions of up to (5, 5, 2) times were employed. Two-way interaction solutions on the coarse and fine meshes are successfully matched in the overlap region on an instantaneous basis, and the turbulent motions on the fine grid blend smoothly into the coarse grid across the grid interface. With surface-layer grid nesting, significant increases in resolved eddy fluxes and variances are found. The energy-scale content of the vertical velocity, and hence vertical turbulent fluxes, appear to be most influenced by increased grid resolution. Vertical velocity spectra show that the dominant scale shifts towards higher wavenumbers (smaller scales) and the magnitude of the peak energy is increased by more than a factor of 3 with finer resolution. Outside of the nested region the average heat and momentum fluxes and spectra are slightly influenced by the fine resolution in the surface layer. From these results we conclude that fine resolution is required to resolve the details of the turbulent motions in the surface layer. At the same time, however, increased resolution in the surface layer does not appreciably alter the ensemble statistics of the resolved and SGS motions outside of the nested region.     

Resolved-scale turbulence in the atmospheric surface layer from a large eddy simulation

Large eddy simulation has encountered difficulties in handling turbulence in the atmospheric surface layer due to deficiencies in sub-grid scale models. This paper addresses the possibility of resolving the turbulence in the upper part of the surface layer by a low-aspect ratio of grid spacing. Results show that resolved-scale shear stresses dominate over the sub-grid scale components so that effects due to the sub-grid scale model can be ignored in this region. The effects of the lower boundary condition on the resolved-scale turbulence in the upper part of the surface layer are discussed. It is concluded that the normalized mean velocity shear and resolved turbulence in the upper part of the surface layer are not affected by the specification of the lower boundary condition. In addition, the present work proposes a new independent model parameter, the Smagorinsky Reynolds Number (Re_SM), and demonstrates that this number determines the resolved turbulence in the upper part of the surface layer.     

DECAY OF CONVECTIVE TURBULENCE REVISITED

Results of a large-eddy simulation of a decaying convective mixed layer over land are presented. The time evolution of the mixed layer is forced by the surface heat flux gradually decreasing with time. The results obtained show that the decay of the turbulent kinetic energy is governed by two scales, the external time scale controlling the surface heat flux changes, and the convective time scale. During the simulation, large eddies persist even when the heat flux at the surface becomes negative. A decoupled residual layer of active turbulence is developed above the stable surface layer. The residual layer is marked by large-scale updrafts that are able to penetrate the capping inversion layer and induce entrainment.     

A Variable Mesh Spacing for Large-Eddy Simulation Models in the Convective Boundary Layer

A variable vertical mesh spacing for large-eddy simulation (LES) models in a convective boundary layer (CBL) is proposed. The argument is based on the fact that in the vertical direction the turbulence near the surface in a CBL is inhomogeneous and therefore the subfilter-scale effects depend on the relative location between the spectral peak of the vertical velocity and the filter cut-off wavelength. From the physical point of view, this lack of homogeneity makes the vertical mesh spacing the principal length scale and, as a consequence, the LES filter cut-off wavenumber is expressed in terms of this characteristic length scale. Assuming that the inertial subrange initial frequency is equal to the LES filter cut-off frequency and employing fitting expressions that describe the observed convective turbulent energy one-dimensional spectra, it is feasible to derive a relation to calculate the variable vertical mesh spacing. The incorporation of this variable vertical grid within a LES model shows that both the mean quantities (and their gradients) and the turbulent statistics quantities are well described near to the ground level, where the LES predictions are known to be a challenging task.     

用大涡模式研究对流边界层湍流

利用三维对流边界层的大涡模拟模式研究对流边界层湍流统计特征量,模拟结果与前人的同类模拟工作及实验观测结果相比较,得到了一致的结论.