无穷观问题的研究(Ⅲ)——‘每一''与‘所有''

本组系列论文（I）－（Ⅴ）从数学和认识论的角度系统地研究了无穷观问题的历史发展和现状，确立了无穷观背景世界的三分法原则，指出了两种穷观相互排斥的局限性，形成了统一两种无穷于同一框架中的基本观点，并建立了一个统一实无限与潜无限于同一框架中的公理集合论系统APAS。     

大迎角三角翼旋涡运动及其破碎特性的数值研究

从流体力学的基本方程出发，利用Ｈａｌｌ的涡核准柱假设，导出反映涡核运动的Ｎ－Ｓ方程。采用差分方法计算旋涡流场，进而分析三角翼上前缘分离涡的运动特点及其破碎机下。从计算结果可以看出，旋涡的轴向速度向下游逐渐下降，且涡心处于降较快，外缘下降较慢，反映了粘性作用自涡心外缘逐渐下降的特点；涡核外缘的径向速度开始为负，说明开始阶段有流体流入涡核，随着旋涡向下游运动，径向速度有所增加，到一定位置后增加迅速，说     

高速风洞支架干扰数值修正研究

提出了一种计算高速风洞支架系统对飞行器模型纵向气动力干扰量的数值计算方法 ,从跨声速全位势积分方程出发 ,编制了适用于飞行器全机模型及其带支架情况下的跨声速绕流计算程序。通过对双垂尾模型和GBM 0 3模型两个算例的计算 ,讨论了尾支撑位置及其几何外形参数对模型气动力的影响 ,并对GBM 0 3模型带短支杆情况下的纵向实验结果进行了修正。表明该方法对于分析研究风洞模型支架干扰问题并进行支架干扰修正是可行的、有效的 ,可以作为选择尾支撑位置及其几何外形参数和对跨声速风洞纵向实验结果进行支架干扰修正的工具。     

一般硬化材料弹塑性旋转盘的变分解法

首先在小弹塑性范围内用应变的奇次四项式相当精确地拟合一般硬化材料的拉伸曲线;再在体积不变条件下用弹性位移场的已知模态和一待定幅值构成弹塑性位移场;最后用势能原理确定该幅值而得到封闭解。     

Electric potential structures of auroral acceleration region border from multi-spacecraft Cluster data

This paper studies an auroral event using data from three spacecraft of the Cluster mission, one inside and two at the poleward edge of the bottom of the Auroral Acceleration Region (AAR). The study reveals the three-dimensional profile of the region’s poleward boundary, showing spatial segmentation of the electric potential structures and their decay in time. It also depicts localized magnetic field variations and field-aligned currents that appear to have remained stable for at least 80?s. Such observations became possible due to the fortuitous motion of the three spacecraft nearly parallel to each other and tangential to the AAR edge, so that the differences and variations can be seen when the spacecraft enter and exit the segmentations, hence revealing their position with respect to the AAR.     

高阶面元法计算多段翼型之位流

本文给出了一种求解多段翼型位流的高阶面元法。面元和奇点的分布分别采用了二阶和三阶的形式。由于高阶面元法较为精确地反映了绕流体的几何形状和奇点表面分布,本文给出了比低阶面元法更为精确的解,并且消除了低阶面元法计算中经常出现的翼型后缘处解的波动。     

基于量子行为鸽群优化的无人机紧密编队控制

随着军事、民用需求的提高和相关领域的技术推动，无人机编队协同作业已成为当今人们逐渐关注的焦点。无人机紧密编队是指无人机间侧向距离在1~2倍翼展内的编队，因其可有效改善编队中无人机的气动性能而备受瞩目。基于无人机紧密编队条件下的气动耦合效应，建立三维空间下的状态空间方程描述双机相对运动，并推导了紧密编队条件下的双机最优编队构型，在此构型下将人工势场法和编队控制相结合作为控制系统中的间接控制环，并针对基本鸽群优化算法的寻优缺陷利用量子行为规则对其进行改进，将改进后的鸽群优化算法和无人机控制量结合作为控制系统中的直接控制环，最后通过仿真对比验证了此控制系统对于紧密编队控制的有效性。     

多孔介质空心圆柱绕流的摄动解

本文主要讨论了绕多孔介质空心圆柱的有势流动问题。运用摄动方法,给出了速度势的四阶近似,然后得到了圆柱表面的无量纲的压力系数和阻力系数。结果发现在势流的情况下多孔介质圆柱受到附加阻力作用,并且在圆柱的喷射或吸收流体的特征速度与来流特征速度的比值是一个小量的时候,阻力系数与特征速度比成简单的线性关系。     

Stationary flow fields prediction of variable physical domain based on proper orthogonal decomposition and kriging surrogate model

In this paper a new flow field prediction method which is independent of the governing equations, is developed to predict stationary flow fields of variable physical domain. Predicted flow fields come from linear superposition of selected basis modes generated by proper orthogonal decomposition(POD). Instead of traditional projection methods, kriging surrogate model is used to calculate the superposition coefficients through building approximate function relationships between profile geometry parameters of physical domain and these coefficients. In this context,the problem which troubles the traditional POD-projection method due to viscosity and compressibility has been avoided in the whole process. Moreover, there are no constraints for the inner product form, so two forms of simple ones are applied to improving computational efficiency and cope with variable physical domain problem. An iterative algorithm is developed to determine how many basis modes ranking front should be used in the prediction. Testing results prove the feasibility of this new method for subsonic flow field, but also prove that it is not proper for transonic flow field because of the poor predicted shock waves.     

Development process of muzzle flows including a gun-launched missile

Numerical investigations on the launch process of a gun-launched missile from the muzzle of a cannon to the free-flight stage have been performed in this paper. The dynamic overlapped grids approach are applied to dealing with the problems of a moving gun-launched missile. The high-resolution upwind scheme(AUSMPW+) and the detailed reaction kinetics model are adopted to solve the chemical non-equilibrium Euler equations for dynamic grids. The development process and flow field structure of muzzle flows including a gun-launched missile are discussed in detail.This present numerical study confirms that complicated transient phenomena exist in the shortly launching stages when the gun-launched missile moves from the muzzle of a cannon to the freeflight stage. The propellant gas flows, the initial environmental ambient air flows and the moving missile mutually couple and interact. A complete structure of flow field is formed at the launching stages, including the blast wave, base shock, reflected shock, incident shock, shear layer, primary vortex ring and triple point.