等价差分格式在三维复杂流场数值模拟中的应用

结合数值Riemann不变量和通量限制器（FluxLimiter）的概念，将基于Chakravarthy和Osher半离散差分格式的等价差分格式应用于三维复杂流场计算，应用时间相关法和全流场捕捉技术，获得了Ma＝10，a＝10°状态下球头绕流结果，壁面压力分布与Rusanov的计算结果相符合，在此基础上细致地刻画了在Ma＝7，a＝20°状态下绕流带座能飞船的复杂流场。     

一种计算二维图象矩的神经网络方法

提出一种计算二维图象矩的神经网络方法，首先，导出一维信号矩与一维Ｈａｄａｍａｒｄ变换之间的关系。通过２Ｎ－一维Ｈａｄａｍａｒｄ变换和极少量加法，移位及乘法运行可计算二维图象矩。然后给出用Ｔａｎｋ－Ｈｏｐｆｉｅｌｄ神经网络实现Ｈａｄａｍａｒｄ变换的方法，并对该网络作了改进。     

基于区域热核不变量的SAR图像变化检测

快速精确地检测SAR图像的变化是SAR应用亟待解决的问题。针对这一问题,提出了基于区域热核不变量的SAR图像变化检测方法。该方法利用图上热核的特征,可以充分发挥图谱理论的优点,且计算简便、矩阵的扰动性小。通过模拟分析研究了热核的特征,并应用于实际SAR图像的变化检测。实验结果表明该方法可以快速精确地检测到变化区域,且其变化检测的精度要优于区域似然比检测方法。     

Simulation study of motion of charged particles trapped in Earth’s magnetosphere

This article aims to understand the motion of the charged particles trapped in the Earth’s inner magnetosphere. The emphasis is on identifying the numerical scheme, which is appropriate to characterize the trajectories of the charged particles of different energies that enter the Earth’s magnetosphere and get trap along the magnetic field lines. These particles perform three different periodic motions, namely: gyration, bounce, and azimuthal drift. However, often, the gyration of the particle is ignored, and only the guiding center of the particle is traced to reduce the computational time. It is because the simulation of all three motions (gyro, bounce, and drift) together needed a robust numerical scheme, which has less numerical dissipation. We have developed a three-dimensional test particle simulation model in which the relativistic equation of motion is solved numerically using the fourth and sixth-order Runge-Kutta methods. The stability of the simulation model is verified by checking the conservation of total kinetic energy and adiabatic invariants linked with each type of motion. We found that the sixth-order Runge-Kutta method is suitable to trace the complete trajectories of both proton and electron of a wide energy range, 5 keV to 250 MeV for L = 2 – 6. We have estimated the bounce and drift periods from the simulations, and they are found to be in good agreement with the theory. The study implies that a simulation model with sixth-order Runge-Kutta method can be applied to the time-vary, non-analytical form of magnetic configuration in future studies to understand the dynamics of charged particles trapped in Earth’s magnetosphere.     

TWO NEW RECOGNITION METHODS FOR SPATIAL PLANAR POLYGONS

ＴＷＯＮＥＷＲＥＣＯＧＮＩＴＩＯＮＭＥＴＨＯＤＳＦＯＲＳＰＡＴＩＡＬＰＬＡＮＡＲＰＯＬＹＧＯＮＳＣｈｅｎｇＹｕ（ＤｅｐａｒｔｍｅｎｔｏｆＥｎｇｉｎｅｅｒｉｎｇ，ＮＵＡＡ２９ＹｕｄａｏＳｔｒｅｅｔ，Ｎａｎｊｉｎｇ２１００１６．Ｐ．Ｒ．Ｃｈｉｎａ）Ａｂｓ...     

非线性系统的右独立阶及其应用

定义非线性右可逆系统的一组结构常量, 即右独立阶. 证明右独立阶在正则静态反馈下保持不变,同时举例指出右独立阶在正则动态反馈下可以改变. 研究了右独立阶在解耦问题中的应用, 指出利用右独立阶可完全刻划正则静态反馈解耦问题,并初步讨论了右独立阶在非线性Morgan问题上的应用.     

基于几何不变性和BP网络的二维目标识别算法

提出了一种基于几何不变性和BP网络的二维目标识别算法.该算法不仅能适应目标物体在旋转、缩放和平移变换(RST变换)下的不变性识别,而且能适应仿射及射影变换下的不变性识别.算法通过对目标物体边缘点进行规格化和对规格化后的边缘点进行5点不变量穷举计算解决了模型图像与目标图像的对应点选取问题;通过将不同观测方位和不同旋转角度的样本图像边缘点的5点不变量集合作为输入向量对BP网络进行训练解决了由于仿射和射影变换造成规格化边缘点间距变化对正确分类的影响.算法不仅能识别多边形而且能识别曲线轮廓的目标物体.      

基于磁场梯度张量的航天器内部多磁场源探测技术

基于磁场梯度张量的探测技术具有高分辨率、高精度等优点,是航天器多磁源分辨的有效方法。文章建立了航天器磁场源模型,提出了航天器多磁场源模型拟合方法,利用磁场梯度张量的主不变量的极值确定磁场源个数和水平位置,然后联合欧拉方程计算磁场源深度,完成航天器内部多磁场源仿真与计算,分辨率最高可达0.012 m,满足工程需求。该研究开辟了航天器内部多磁场源目标探测的新途径。     

Invariant and energy analysis of an axially retracting beam

The mechanism of a retracting cantilevered beam has been investigated by the invariant and energy-based analysis. The time-varying parameter partial differential equation governing the transverse vibrations of a beam with retracting motion is derived based on the momentum theorem. The assumed-mode method is used to truncate the governing partial differential equation into a set of ordinary differential equations (ODEs) with time-dependent coefficients. It is found that if the order of truncation is not less than the order of the initial conditions, the assumed-mode method can yield accurate results. The energy transfers among assumed modes are discussed during retrac-tion. The total energy varying with time has been investigated by numerical and analytical methods, and the results have good agreement with each other. For the transverse vibrations of the axially retracting beam, the adiabatic invariant is derived by both the averaging method and the Bessel function method.