Band-limited functions on a bounded spherical domain: the Slepian problem on the sphere

The Slepian problem consists of determining a sequence of functions that constitute an orthonormal basis of a subset of ℝ (or ℝ²) concentrating the maximum information in the subspace of square integrable functions with a band-limited spectrum. The same problem can be stated and solved on the sphere. The relation between the new basis and the ordinary spherical harmonic basis can be explicitly written and numerically studied. The new base functions are orthogonal on both the subspace and the whole sphere. Numerical tests show the applicability of the Slepian approach with regard to solvability and stability in the case of polar data gaps, even in the presence of aliasing. This tool turns out to be a natural solution to the polar gap problem in satellite geodesy. It enables capture of the maximum amount of information from non-polar gravity field missions. Received: 10 June 1998 / Accepted: 20 May 1999     

赤道中、东太平洋表层流速20d振荡特征分析

通过对1985年1月1日—1986年12月31日沿赤道5个锚定浮标站表层流速资料的分析,发现在140°W与108°W之间表层流速v存在一周期约为20d的显著振荡。该振荡是由波长约2000km、以1.15-1.23m／s的波速向西传播的波动引起的。该波动被推断为第二斜压模态混合Rossby惯性重力波。带通滤波和低通滤波结果表明,以110°W测站为例,20d振荡流速构方根为21.8cm／s（纬向）和22.1cm／s（经向）;单一流速振幅的特征值为30-50cm／s,最大振幅可达70cm／s;u季节变化的均方根小于17cm／s,v无明显季节变化。年平均流速通常小于5cm／s。以上各统计量表明,20d周期波动引起的v振荡在赤道东太平洋表层流速变化中非常显著。     

地形对低涡大暴雨影响的数值模拟试验

用ＭＭ５模式对１９９８年６月２８￣２９日长江三峡及其附近的低涡大暴雨过程作了初步的模拟研究。通过两种地表方案模拟的对比表明,四川盆地东侧山地对西南低涡的产生没有明显影响,但对这次低涡暴雨的强度及其分布有重要影响,主要表现在：涡前暖湿气流受大巴山－神农架山脉拦截形成迎风麓大暴雨带,鄂西南山区南坡也有迎风坡暴雨区,降水系统在东移过程中受盆地东侧整个山体阻滞迫使上游降水显著增强,下游降水系统在东移过程中     

正压模式中的非绝热波动

应用含有非绝热因子的正压模式方程组,着重分析了对流凝结加热、蒸发－风反馈和ＣＩＳＫ机制等非绝热因子对低纬Ｒｏｓｓｂｙ波和Ｋｅｌｖｉｎ波的影响。既获得了圆频率的表达式,又分析了波的周期与稳定性。结果表明：非绝热因子的存在不但扩大了绝热波的周期,而且改变了波的稳定性。因此,可以认为：所谓季节内振荡（３０—６０天的周期振荡）等低频振荡实际上是一类非绝热波,这类非绝热波是引起中长期天气变化及短期气候演变的重要因素。     

云南5月降雨量与前期季节内振荡活动相互关系的分析研究

云南地处低纬高原,受南亚季风影响,其5月降雨量的多寡基本表征了这一地区雨季开始的早晚,对该地区的农业生产有着重要的影响,本文利用TBB（黑体辐射温度）资料及云南地区的降水资料,分析研究了该地区5月降雨量与前期印度洋赤道地区季节内振荡活动的关系。分析结果表明,冬季印度洋赤道地区季节内振荡活动的强弱与次年5月云南地区的降雨量有着密切的联系,即,当冬季印度洋赤道地区季节内振荡活动较强时,次年云南地区5月降雨量较常年偏多;反之,则偏少。     

极地海岸带调查及前沿问题探析

文章提出了“极地海岸带”这一概念,并从海岸带内涵的视角深入阐述了极地海岸带的定义和范围,全面分析了极地海岸带的特殊性和重要性。从调查监测技术发展和涉及学科领域两个角度梳理总结了与极地海岸带相关的调查监测实践。同时,分析了极地海岸带调查研究的前沿问题,提出了极地海岸带资源生态要素的调查监测发展方向,即充分利用遥感和现场探测手段,以较低成本来探明大空间尺度和长时间序列下的极地海岸带区域资源环境生态要素与时空变化特征。最后,构建了“双源数据挖掘-空间耦合模拟-区域综合评估-影响模拟预测”的知识与技术体系,为我国构建极地海岸带区域资源生态管理与保护政策体系提供科技支撑。     

平流及层结在阿尔卑湖泊风成扩散问题中的作用

A semi-implicit semi-spectral hydrodynamic primitive equation model is used to study tracer diffusion in homogeneous and stratified lakes. Impulsively applied spatially uniform wind is applied in the long direction of a rectangular basin with constant depth and Lake Constance. Tracer mass is released at various locations of the free surface and its spreading under the action of dijfusion and advection is studied. We show that for homogeneous basins the tracer quickly spreads over the entire water depth. Inertial waves can also be detected in the tracer concentration. On the other hand for stratified waters the tracer mass is largely confined to the epilimnion with occasional penetration into the hypolimnion where large downwelling occurs. Here Kelvinand Poincar ''e-type wave dynamics is discernable in the tracer-concentratwn-time series, the former more conspicuously at nearshore, the latter at off-shore positions.     

Influence of condensation and latent heat release upon barotropic and baroclinic instabilities of vortices in a rotating shallow water f-plane model

Analysis of the influence of condensation and related latent heat release upon developing barotropic and baroclinic instabilities of large-scale low Rossby-number shielded vortices on the f-plane is performed within the moist-convective rotating shallow water model, in its barotropic (one-layer) and baroclinic (two-layer) versions. Numerical simulations with a high-resolution well-balanced finite-volume code, using a relaxation parameterisation for condensation, are made. Evolution of the instability in four different environments, with humidity (i) behaving as passive scalar, (ii) subject to condensation beyond a saturation threshold, (iii) subject to condensation and evaporation, with three different parameterisations of the latter, are inter-compared. The simulations are initialised with unstable modes determined from the detailed linear stability analysis in the “dry” version of the model. In a configuration corresponding to low-level mid-latitude atmospheric vortices, it is shown that the known scenario of evolution of barotropically unstable vortices, consisting in formation of a pair of dipoles (dipolar breakdown) is substantially modified by condensation and related moist convection, especially in the presence of surface evaporation. No enhancement of the instability due to precipitation was detected in this case. Cyclone-anticyclone asymmetry with respect to sensitivity to the moist effects is evidenced. It is shown that inertia-gravity wave emission during the vortex evolution is enhanced by the moist effects. In the baroclinic configuration corresponding to idealised cut-off lows in the atmosphere, it is shown that the azimuthal structure of the leading unstable mode is sensitive to the details of stratification. Scenarios of evolution are completely different for different azimuthal structures, one leading to dipolar breaking, and another to tripole formation. The effects of moisture considerably enhance the perturbations in the lower layer, especially in the tripole formation scenario.     

测边后方交会在精密工程中的应用分析

本文通过对普通测设方法（极坐标法、直角坐标法等）的分析引出了测边后方交会的方法,并简要介绍了测边后方交会法的基本原理,推导了测边后方交会法的计算公式,评定了该方法的精度,论证了该方法在精密工程中的可行性,弥补了极坐标、直角坐标等普通测设方法在精密工程中的缺陷。     

南方低山丘陵地区汛期短时强降水特征分析

研究汛期短时强降水特征,对于南方低山丘陵地区山洪灾害的预报具有重要指导意义。以怀化市为研究区域,基于该区域11个国家站和403个区域自动气象站的2012-2017年4-9月期间逐小时降水量以及相对应的NCEP资料,分析了怀化市短时强降水的时空分布特征,得出了产生短时强降水天气系统模型,结果显示：①汛期短时强降水发生频率较高,时间集中,分布不均。主要出现在5～7月,占4～9月的72.9%,其次在8～9月;北部频数多,中南部少,西部最少,辰溪、麻阳和怀化三县交界处及沅陵县的大合坪附近是频发区域。②短时强降水日变化呈单峰型,4～10时最容易发生,峰值在8时,谷值在23时。③强度越强出现的频次越少;北部的强度和次数大于其它区域;50～79.9 mm/h,占总站数的68.4%;各月国家站的极值乘以2约等于区域站极值。④低涡型短时强降水出现概率最高,低涡位置和移动路径是短时强降水预报的关键点。