Recent Advances in Predictability Studies in China （1999-2002）

Since the last International Union of Geodesy and Geophysics (IUGG) General Assembly (1999), the predictability studies in China have made further progress during the period of 1999-2002. Firstly, three predictability sub-problems in numerical weather and climate prediction are classified, which are concerned with the maximum predictability time, the maximum prediction error, and the maximum allowable initial error, and then they are reduced into three nonlinear optimization problems. Secondly, the concepts of the nonlinear singular vector (NSV) and conditional nonlinear optimal perturbation (CNOP) are proposed,which have been utilized to study the predictability of numerical weather and climate prediction. The results suggest that the nonlinear characteristics of the motions of atmosphere and oceans can be revealedby NSV and CNOP. Thirdly, attention has also been paid to the relations between the predictability and spatial-temporal scale, and between the model predictability and the machine precision, of which the investigations disclose the importance of the spatial-temporal scale and machine precision in the study of predictability. Also the cell-to-cell mapping is adopted to analyze globally the predictability of climate,which could provide a new subject to the research workers. Furthermore, the predictability of the summer rainfall in China is investigated by using the method of correlation coefficients. The results demonstrate that the predictability of summer rainfall is different in different areas of China. Analysis of variance, which is one of the statistical methods applicable to the study of predictability, is also used to study the potential predictability of monthly mean temperature in China, of which the conclusion is that the monthly mean temperature over China is potentially predictable at a statistical significance level of 0.10. In addition,in the analysis of the predictability of the T106 objective analysis/forecasting field, the variance and the correlation coefficient are calculated to explore the distribution characteristics of the mean-square errors.Finally, the predictability of short-term climate prediction is investigated by using statistical methods or numerical simulation methods. It is demonstrated that the predictability of short-term climate in China depends not only on the region of China being investigated, but also on the time scale and the atmospheric internal dynamical process.     

关于2×2块矩阵在除环上群逆的注记

针对分块矩阵在除环上群逆的表示,在证明中使用的引理并不能根据所给条件判定得到分块矩阵群逆的存在性,采用举反例的方法说明存在的问题,进而通过在原有题设中添加了一个条件,证明了分块矩阵的群逆存在,从而更正了定理内容。利用一个新引理和分块矩阵的子矩阵的秩之间的关系证明得到2×2块矩阵在除环上群逆表示的一个新的结果.     

基于CFD技术的河谷型城市风环境模拟——以兰州市城关区为例

本文应用CFD软件对多种流场的强大模拟功能,模拟小尺度的兰州市城关区风环境。选用SRTM资料表征兰州市城关区的地形,应用ArcGIS生成兰州市地形模型,计算相关参数,将计算得到的地形粗糙度和兰州多年气候资料转化为CFD模型的数字参数及模拟边界条件等,首次模拟得到河谷型地区兰州城关区的风环境。结果表明:（1）河谷型地区中,气流过山时风速达最大值,依山体高度增大,而在背风坡风速值明显降低,达到0～1 m·s-1;（2）气流过境时在沿河谷前进,且在谷底风速值达0～1 m·s-1;（3）在模拟城市热岛效应的对比实验中,地块加热对气流过境有停滞作用。     

基于WiFi信号室内定位技术的研究

主要对基于WiFi信号的室内定位技术中的三角形定位法进行了研究。鉴于现有的三角形定位模型受信号强度和环境干扰的约束影响,定位精度不高,提出了一种结合室内影响因素约束的权重改正定位模型,更加切合复杂的室内定位环境。通过试验测试和数据分析,经过加权去噪模型改正后的定位精度更高,适用性更广。     

浅埋隧道围岩应力场的计算复变函数求解法

对于受地表边界和地面荷载影响的浅埋隧道的围岩应力场,由于在数学处理上存在一定的困难,很难用解析解来进行分析,而通常采用边界元或有限元的数值方法来解答。为了求解浅埋隧道的应力场,采用边界配点来确定边界条件,同时用保角映射将一个含圆孔的半无限空间区域映射为圆环域,然后把这个区域内的解析函数展开成Laurent级数的形式,利用Muskhelishvili的复变函数理论和最小二乘法来确定解析函数的各项系数,从而求得浅埋隧道围岩压力的半数值、半解析解,最后通过算例给出了围岩应力的分布情况。计算结果表明,该方法计算精度高、计算量小,具有应用价值。     

K-means算法复杂度的能量分析方法

传统的算法复杂度分析方法重点对算法的内在流程进行分析,而且对于数据挖掘时具有很大不确定性,执行时间不能准确确定.用物理学原理从能量的角度对数据挖掘中的经典聚类算法K-means进行分析,并从算法的本质上推导出其复杂度下限,推导出该算法能优化到的极限值.     

计算几何在地图综合中的应用

地图综合是计算几何中的一个应用问题。计算几何是有效的几何基本规则和算法,为地图目标间的复杂空间关系提供了强大的描述和分析依据。文章讨论地图综合中的条件和要求,尤其提出了比例尺缩小造成地不可感知性,而引起选取、目标拥挤、化简和符号化带来的相交等三个关键问题。根据计算几何的Voronoi、Delaunay等数据结构,简要探讨了目标选择、目标聚类和一致性化简的方法。     

L形和U形三维钝体结构绕流的数值模拟研究

采用大涡模型对L形和U形三维钝体建筑物的绕流特性和风压分布特性进行数值研究。考虑平均和脉动速度入口边界,在雷诺数为1.5×10~5～7×10~5条件下,对2种钝体的9种分析工况进行瞬态动力分析,并将计算结果与已有研究进行对比。研究表明,钝体绕流对周围流场影响的强弱程度依次为尾流区、屋顶区、来流区,影响大小随着流场与钝体之间距离、钝体建筑高宽比、离地高度的增大而减小,且对来流区0.25H、屋顶上部0.4H、左右两侧0.5H、尾流区2.0H范围内流场的影响最大;钝体迎风面风压分布比较均匀,而侧面、背面和顶面受绕流涡旋的影响较大,平均风压分布较为复杂,并与脉动风压分布具有类似的变化趋势。研究结果对结构抗风设计与建筑风环境设计具有一定的参考价值。     

Developing an algorithm for reconstruction of blocky systems in discontinuous media: two-dimensional analysis

Block detection is one of the most important steps in all discontinuous methods of analysis like Discontinuous Deformation Analysis (DDA) and Discrete Element Method (DEM). This is in fact a pre-processing step for those methods. In this study, a comprehensive computational algorithm, for tracing rock block created by discontinuities, has been developed. Using square matrices with integer elements and performing edge regularization step, reduce the size of the matrices due to elimination of unnecessary edges and vertices. Therefore speed and accuracy of block tracing operation will be increased. This algorithm is able to trace and identify all kind of blocks including convex and concave blocks formed by limited or unlimited fractures. The algorithm was programmed in C#.Net by over 3400 code lines and some cases were modeled by the code as example.     

Investigating dynamic mechanisms of geological phenomena using methodology of computational geosciences: An example of equal-distant mineralization in a fault

This paper presents a research methodology associated with approximately a decade old computa- tional geosciences. To demonstrate how it can be used to investigate the dynamic mechanisms of geological phenomenon, we use as an example the equal-distant distribution of gold deposits in a three-dimensional permeable fault within the Yilgarn Craton, Western Australia. The related numerical results demonstrate that: (1) convective pore-fluid flow in fluid-saturated porous media is the control- ling dynamic mechanism leading to the equal-distant distribution of gold deposits along the fault; (2) the main characteristic of the new methodology is to change the traditionally used empirical, descrip- tive and qualitative methodology into the fundamentally scientific principles based predictive and quantitative methodology. Thus, this new methodology provides a modern scientific research tool for investigating the dynamic mechanisms associated with observed geological phenomena in nature.