运动激波自适应网格算法中权函数问题的研究

变分原理的自适应网格技术被应用到运动激波问题的求解上,在解的大梯度区自动加密网格,从而非常成功地算出了激波。通过分析发现权函数选择和取值对自适应网格技术至关重要     

Effect of non-uniform basic temperature gradient on the onset of Marangoni convection in a fluid with suspended particles

The effect of a non-uniform basic temperature gradient on the onset of convection driven by surface tension in a horizontal layer of a Boussinesq fluid with suspended particles confined between an upper free, constant heat flux boundary and a lower rigid isothermal boundary is considered. The microrotation is assumed to vanish at the boundaries. A linear stability analysis is performed. The Rayleigh–Ritz technique is used to obtain the eigenvalues. The influence of various parameters on the onset of convection has been analyzed. Six different non-uniform basic state temperature profiles are considered and their comparative influence on onset is discussed. It is observed that the fluid layer with suspended particles heated from below is more stable compared to the classical fluid layer without suspended particles. The problem has possible applications in microgravity situations.     

基于GMF方法的捕风一号风速反演分析

全球尺度高时空分辨率海面风场探测是当前全球气象研究及预报预测领域的关注热点之一,传统海面风场探测技术存在测量区域有限,且受天气环境限制明显等问题.基于全球导航卫星系统-反射(GNSS-R)测量技术风速反演原理,以捕风一号1级数据产品为输入,欧洲中期天气预报中心再分析风速数据为参考风速,采用地球物理模型函数(GMF)方法...     

The photometric study of light scattering from the surface of alumina powder and interpretations by Hapke formula

A laboratory experiment helps to understand the light scattering property of regolith like samples with known compositions and other physical parameters. The laboratory data so obtained can be compared with the existing in situ data on celestial objects like asteroids. Further, it may be analyzed with the help of various theoretical models to understand the light scattering processes from regolith more clearly. In this work we have performed laboratory based photometry of the light scattered from the surfaces of powdered alumina (Al₂O₃) at various tilt angles of the sample and at large phase angles, with the particles having diameter 0.3 μm. The wavelength of observation was 632.8 nm. These data have been fitted by a surface scattering model originally suggested by Hapke. Instead of using empirical Henyey–Greenstein phase function to fix the values of albedo and phase function to be used within Hapke formula, we have used Mie theory for the same. This approach helped us to determine the single particle properties such as particle diameter and complex refractive index from surface scattering phase curve alone. Mie theory depends only on the size parameter X(=2π(radius/wavelength)) and complex refractive index (n, k) of the material. Since the absorption coefficient (k) for alumina is known to be very low but not exactly zero, the best fit to the experimental data was obtained by least square technique with k as a free parameter, as the other parameters are known. Finally, we compare our results with other published results and discuss the scope of application of the method we adopted.     

基于变量集结预测控制的四旋翼无人机控制器设计

针对四旋翼无人机路径跟踪问题,设计了一种基于变量集结预测控制的控制器。首先以四旋翼无人机状态空间模型为基础建立预测模型;接着设计控制器时采用分段集结的策略把控制量集结成三段优化序列以减少优化计算量,并降低优化保守性,为了进一步加强系统稳定性,控制器引入终端代价函数和终端约束;最后用四旋翼无人机的动力学模型作为被控对象进行仿真验证,结果表明：该控制器能使四旋翼无人机在三轴方向均能实现一个良好的路径跟踪效果。与传统方法相比,这种基于变量集结的预测控制策略能够减小在线优化量,更适合四旋翼无人机飞控芯片的应用。     

多变量全局寻优与智能优化在星座组网中的应用

顶层任务规划通常与星座组网紧密结合,小卫星分散灵活的特性尤其适用于星群规模化在轨运行。针对热点区域覆盖和全球覆盖的不同任务需求,提出了对构型多变量进行全局寻优和利用智能优化技术进行星座构型优化的方法,两种优化方法可分别获得小规模星群最优效能与超大型星群的较优效能。优化方法不受轨道类型和任务目标分布的约束,具有良好的鲁棒性。     

Superclustering and the large-scale structure of the universe

The spatial distribution of a complete redshift sample of nearby rich clusters of galaxies is studied. Strong superclustering, extending to very large scales (100h⁻¹Mpc), is observed in the cluster distribution. In particular, we determined and discuss below the following studies:I. The spatial correlation function of rich clusters of galaxies.II. The construction of a complete catalog of superclusters and a study of their growth (percolation).III. The finding of large-scale superclusters surrounding the giant galaxy void in Bootes.IV. The finding of a 300 Mpc void of rich clusters of galaxies.All the above studies provide evidence for the existence of large-scale structure in the universe, and reveal some of its characteristics. These findings are of importance to models of the formation of galaxies and structure in the universe.     

一种非线性系统集员辨识算法

针对带有未知有界噪声的非线性动态系统的鲁棒辨识问题,提出了一种新的非线性动态系统的集员辨识算法.利用径向基函数神经网络的逼近能力,根据系统的输入输出数据,选用径向基函数神经网络对未知非线性系统建模.径向基函数神经网络的中心被确定之后,考虑到建模误差与系统噪声有界,利用径向基函数神经网络为参数线性模型的特点,使用参数线性集员辨识算法辨识径向基函数神经网络的输出权值.由于集员辨识算法所得到的是网络输出权值的集合估计,在系统运行过程中,可以很方便地利用所建模型预测实际系统的输出范围.仿真表明,集员辨识算法辨识网络的输出权值比最小二乘法较少的受未知动态系统噪声分布的影响.     

衰减因子自适应滤波及在组合导航中的应用

从卡尔曼滤波技术的稳定性出发,分析了卡尔曼滤波算法发散的原因,提出了一组衰减记忆卡尔曼滤波中衰减因子的自适应估计方法,并在GPS/SINS组合导航系统中进行了计算机仿真.在计算衰减因子时,利用滤波残差序列在最优估计时为零均值白噪声的性质,构造了服从χ2分布的变量,并分别检验滤波残差每一个分量得出衰减因子值.仿真结果表明,该组算法能够自适应地估计出衰减因子的大小,有效地抑制滤波发散,且计算量较其它方法小.      

二维有限元多尺度小波

本文利用有限元插值和多尺度分析理论构造出了二维有限元尺度函数及相应的有限元多尺度小波。构造出的尺度函数及小波函数具有许多良好的性质，如短支集、高阶消失矩、半正交性、正则性和对称性等。