行星际结构与准平行无碰撞激波的相互作用

应用一维混合模拟方法数值研究了高密度等离子体团和行星际激波与准平行无碰撞激波的相互作用．结果表明，由于推平行无碰撞激波上游的大振幅低频波动的散射，除了在通过激波过渡区时稍有压缩外，等离子体团从激波的上游开始就一直是不断弥散的．行星际激波在向准平行无碰撞激波靠近的过程中，会在其上游产生大振幅的低频波动，同时行星际激波的强度不断增加，最后和准平行无碰撞激波会并成一个新的激波，在新激波前继续有大振幅的低频波动产生     

Calculation of the transonic dip of airfoils using viscous-inviscid aerodynamic interaction method

A numerical procedure for the calculation of the transonic dip of airfoils in the time domain is presented. A viscous-inviscid aerodynamic interaction method is taken to calculate the unsteady aerodynamic loads. In the present case the integral boundary layer equations are coupled with the Transonic Small Disturbance (TSD) Potential Equation. The coupling between structural motion and aerodynamic loads is carried out using State Space equation. It is solved by State Transition Matrix technique. Results are presented for NACA 64A010 and NLR 7301 airfoils with structural data from Isogai and DLR, respectively. Comparisons show good agreement with other numerical results. Certain deviations of experimental data taken from literature need more insight in the detailed test conditions.     

冕环中扭转Alfvén波和快波的耦合共振

推广完备正交函数系(OFSE)展开方法,应用它研究冕环中无耗散扭转Alfven波和快波耦合的时变过程.采用这种方法,从数学上描述了总体波模的固有角频率,从理论和数值计算结果两方面分析了Alfven波和快波耦合时冕环中磁力线Alfven波固有角频率.采用这种方法,分析了耦合驱动项和Alfven波共振的关系.计算结果给出了耦合共振出现位置Alfven波和快波的波幅特征,发现如果足点驱动角频率不等于冕环总体波模的固有角频率,在耦合共振位置当扭转Alfven波幅出现δ断面时,快波振幅沿径向梯度很大,有时近似为一个间断,非常有利于快波耗散;如果足点驱动角频率等于总有体波模的固有角频率,Alfvn波振幅出现δ断面时在径向出现丰富的小尺度结构,共振位置近似为一个间断,非常有利于Alfven波耗散.     

非线性四阶微分方程两点边值问题解的存在唯一性

讨论了非线性四阶微分方程y(4)=f(x,y,y',y',y')的两点边值问题解的存在唯一性。其中,函数f在[a,b]×R4上连续,且满足Lipschitz条件。     

多点压力扫描阀测量系统在激波／湍流边界层干扰实验中的应用

多点压力测量是航空气动力研究及高性能流体机械研究中的重要测试手段。利用计算机和多点压力扫描阀系统，可以高效地完成这项任务，并可能在实验中实现数据采集及整个实验过程的自动化。我们利用ＨＰ１０００／Ａ７００计算机－ＨＰ２２５０－测控装置－压力传感器－高速扫描阀组成的测量控制系统，在超音速风洞内对激波／湍流边界层干扰产生的流场进行了快速多点压力数据采集，并取得了可靠的结果。本文对测试和校正过程中的程序设计、测试方法和应用经验进行了介绍。     

褶皱结构成形时的形状偏差计算

解决了褶皱结构成形时相邻的平行四边形平面元素之间连接区棱的修圆半径值预测问题。把毛坯模拟成薄板，定义了平行四边形平面元素的边界条件，采用能量法导出挠度和力函数的非线性微分方程组，利用积分－差分法实现其数值解，并提供计算结果和分析应力－应变场。采用的计算方法可用于研究毛坯的刚度参数和工艺参数对褶皱结构的形状影响。     

Global Response of Martian Plasma Environment to an Interplanetary Structure: From Ena and Plasma Observations at Mars

As a part of the global plasma environment study of Mars and its response to the solar wind, we have analyzed a peculiar case of the subsolar energetic neutral atom (ENA) jet observed on June 7, 2004 by the Neutral Particle Detector (NPD) on board the Mars Express satellite. The “subsolar ENA jet” is generated by the interaction between the solar wind and the Martian exosphere, and is one of the most intense sources of ENA flux observed in the vicinity of Mars. On June 7, 2004 (orbit 485 of Mars Express), the NPD observed a very intense subsolar ENA jet, which then abruptly decreased within ∼10 sec followed by quasi-periodic (∼1 min) flux variations. Simultaneously, the plasma sensors detected a solar wind structure, which was most likely an interplanetary shock surface. The abrupt decrease of the ENA flux and the quasi-periodic flux variations can be understood in the framework of the global response of the Martian plasma obstacle to the interplanetary shock. The generation region of the subsolar ENA jet was pushed towards the planet by the interplanetary shock; and therefore, Mars Express went out of the ENA jet region. Associated global vibrations of the Martian plasma obstacle may have been the cause of the quasi-periodic flux variations of the ENA flux at the spacecraft location.     

平直地面对一类圆极化波的等效反射系数

本文研究了入射波电场为任意线极化时,平直地面反射波中左旋圆极化分量和右旋圆极化分量的数学描述,引入了地面对这类波的等效反射系数的概念,并给予了物理解释,讨论了应用的有关问题。     

一类非线性边值问题的激波解

研究了一类非线性奇摄动方程。首先得到了外层解，利用特异极限阶定了激波层的几种可能位置，对激波层的几种不同位置利用伸长变量构造出内层解。最后利用匹配原则求出了原方程在整个区间上的渐进解。     

Relativistic MHD Simulations of Jets with Toroidal Magnetic Fields

This paper presents an application of the recent relativistic HLLC approximate Riemann solver by Mignone & Bodo to magnetized flows with vanishing normal component of the magnetic field. The numerical scheme is validated in two dimensions by investigating the propagation of axisymmetric jets with toroidal magnetic fields. The selected jet models show that the HLLC solver yields sharper resolution of contact and shear waves and better convergence properties over the traditional HLL approach.