地形作用下有限振幅Rossby波的稳定性分析

本文用微分方程定性理论方法分析了地形对有限振幅Rossby波的稳定性影响。结果表明:地形北坡有利于波动出现不稳定,南坡使波动稳定;西坡使导式波动不稳定但使曳式波动稳定,东坡使导式波动稳定但使曳式波动不稳定。     

露天转地下采场覆岩变形破坏特征及其层厚效应研究

借助数字照相量测技术,通过相似材料模拟试验,对6.80m、11.40m两种不同矿层厚度条件下,云磷集团晋宁磷矿2#坑口露天转崩落法地下开采后采场上覆岩层的变形破坏特征及动态演化过程进行了系统研究,同时对采场覆岩变形破坏特征的层厚效应进行了探讨分析。结果表明： （1）采场覆岩变形破坏的范围与程度均随着地下采场开挖空间范围的增加而增大,其演化过程可划分为局部小范围冒顶、线性持续增大以及整体非线性剧烈垮塌3个阶段;（2）矿体层厚由6.80m增至11.40m后,采场覆岩受采动影响的范围、变形破坏的幅度及垮落角均增大,沉降曲线则由类瓢形变为类半碗型;（3）充分开采阶段后,采场覆岩的变形破坏演化过程呈现明显突发性与时间效应。相关研究结论可为矿山露转井后地压管理提供一定的理论参考。     

静力平衡近似下大气中非线性对称运动的稳定性、分岔和突变

本文在考虑基本气流具有非线性切变情况下,导出了对称运动所满足的非线性常微分方程,并用非线性系统的稳定、分岔、突变理论,严格地讨论了非线性对称运动的稳定性、分岔和突变问题,获得了一个推广的对称不稳定判据,找到了突变产生的条件。     

基于MIROC/WRF嵌套模式的中国气候降尺度模拟

开展了基于嵌套的全球模式MIROC和区域气候模式WRF的动力降尺度模拟试验,检验该模式对中国气候的模拟性能,得到以下结论:全球气候模式MIROC和WRF都能较好地模拟出中国年平均地表气温(下文简称气温)分布。WRF模式对气温场的描述更为细致,模拟出了四川盆地高温和中国最北方区域的低温。两个模式总体上对南方降水模拟好于北方地区,东部地区好于西部地区。MIROC模式模拟的年平均和各季节降水与观测的 空间相关系数在0.79～0.83之间,表明它对降水的模拟较好。WRF模式模拟的降水空间分布好于MIROC模式。MIROC模式在青藏高原东南侧存在虚假降水中心,WRF能有效改进该地区降水的模拟。两个模式对年平均气温和降水年际变率的模拟能力均较差,WRF模式相对MIROC模式有一定改进。     

窄吸积环动力学不稳定性的数值解

本文在细环近似和共转半么位移不为零的条件下，考虑吸积环中非轴对称动力学不稳定性的线性扰动过程，采用数值计算方法求得不稳定性的线性增长率和共转半径位移随波数的变化关系，发现线性增长率受共转半径不为零的影响较小，而共转半径位移项随波数的色散关系与线性Ｋｄｖ方程的色散关系相同，说明窄吸收环在动力学不稳定性数值模拟中出现的“行星状解”很可能是类似于Ｋｄｖ方程中的孤子解。     

非对称台风风场的动力初始化应用研究

在对比NCAR-AFWA三维Bogus(虚拟)风场及风压场方案的基础上,虚拟台风模型中的水平风场采用考虑台风移速、移向、摩擦等客观因素的非对称方案,垂直风场采用考虑高空反气旋环流的风廓线方案,然后利用Nudging动力初始化技术形成新的模式初始场.最后对"云娜"台风进行数值模拟,结果表明:通过合理引入客观因子及观测事实对台风Bogus模型进行构建,并利用同化方法使各个物理量相互协调,可以使初始场与实况更加接近,从而在一定程度上提高台风路径及强度的预报水平,并对降水分布的预报效果也有所改善.     

Numerical Investigation of the Galactic Problem by Computing Families of Periodic Solutions

The galactic dynamical system expressed by a third-order axisymmetric polynomial potential is investigated numerically by computing periodic solutions. We define as Sthe compact set of initial conditions generating bounded motions, and as S ^p , with S ^p ? S, the countable set of all initial conditions generating periodic solutions. Then, we consider the subsets S _s ^p and S _a ^p of S ^p , where S _s ^p ∪ S _a ^p = S ^p , S _s ^p S _a ^p = Ø, the first of which corresponds to symmetric periodic solutions, and the second to asymmetric solutions. Then, we approximate the set S _s ^p , leaving treatment of the set S _a ^p of asymmetric solutions for a future publication. The set S _s ^p is known to be dense in S (‘Last Geometric Theorem of Poincar;’, Birkhoff, 1913). Using a computer programme capable to locate all elements of the set S _s ^p that generate symmetric periodic solutions that re-enter after intersecting the axis of symmetry from 1 to ntimes. The results of the approximation of S _s ^p in the total domain and in the sample sub-domains of zooming, we present in graphical form as family curves in the (x, C) plane. The solutions located with the largest periods re-enter after 440 galaxy revolutions while the families calculated fully (initial conditions, period, energy, stability co-efficient) include solutions that re-enter after 340 galaxy revolutions. To advance further the approximation of the set S _s ^p thus obtained, we applied the same procedure inside eight sub-domains of the domain Sinto which we ‘zoomed’ through selection of finer search steps and double maximum periods. The family curves thus calculated presented in the (x, C) plane do not intersect anywhere in some sub-domains and their pattern resembles that of laminar flow. In other sub-domains, however, we found family curves from which branching families emanate. The concepts of completeand non-completeapproximation of S _s ^p in sub-domains of laminar and sub-domains with branching family curves, respectively, is introduced. Also, the concept of basic family of order1, 2, ..., n, are defined. The morphology of individual periodic solutions of all families is investigated, and the types of envelopes found are described. The approximate set S _s ^p was also checked by computing Poincar; sections for energy values corresponding to the mean energy range of the eight sub-domains of zooming mentioned above. These sections show that most parts of the compact domain in Sgenerating non-periodic but bounded solutions correspond to with well-shaped tori that intersect the x-axis, a fact that implies that dominant to exclusive type of periodic solutions are the symmetric ones with two normal crossings of this axis. The presence of non-symmetric periodic solutions as well as of chaotic regions is encountered. All calculations reported here were performed using the variable step R-K 8th-order direct integration and setting the allowable energy variation Δ C= |C _start? C _end| < 10^?13. The output, consisting of many thousands of families and their properties (initial conditions, morphology, stability, etc.), is stored in a directory entitled ‘Atlas of the Symmetric Periodic Solution of the Galactic Motion Problem’.     

半Lagrange法在数值预报中的应用和近年来的发展(Ⅱ)

本文就五十年代以来半Lagrange法在数值预报中的应用和近年来的发展进行评述。介绍我国在这方面的工作。还就此法和Eluer法的优缺点作了比较;指出了存在的问题。     

基于加权预积分和快速初始化的惯性辅助单目前端模型

针对单目视觉惯性定位系统在复杂环境和相机高动态条件下的实时性和高精度的需求,提出了一种基于加权预积分和快速初始化的惯性辅助单目前端模型Improved_VIO。首先同步视觉和惯性测量数据,建立高精度的IMU加权预积分模型,为联合初始化和视觉跟踪模型提供帧间运动约束;然后构建视觉惯性融合状态向量,建立联合初始化模型,实现视觉惯性松耦合的快速联合初始化;最后在IMU加权预积分和快速初始化方法的基础上,建立一套惯性辅助的视觉跟踪模型,从而有效提高系统定位精度。在EuRoC数据集上的试验结果表明,与传统视觉惯性定位前端模型相比,本文的前端模型提升了单目视觉惯性定位的精度与实时性,初始化时间缩短至10 s内,定位精度提高了约30%。     

空间数据的零初始化与障碍空间下的最小生成树实现方法

介绍了障碍空间下的最小生成树实现方法。首先采用零初始化的思想,初始化“位”数据;然后在构建障碍空间下实体点的Voronoi图的基础上,通过障碍空间下的回溯算法得到实体点间的最近连通图,也即障碍空间下实体点之间的Delaunay图;最后根据连通图,采用贪婪策略来得到最小生成树。