SuperDARN cross polar cap potential dependence on the solar wind conditions and comparisons with models

In this study SuperDARN Cross Polar Cap Potentials (CPCPs), collected over the year 2000, are investigated with a goal to statistically assess its relationship with various parameters of the solar wind and Interplanetary Magnetic Field (IMF). We show that SuperDARN CPCPs tend to cluster around discrete values, prescribed by the statistical model, unless the amount of points on each convection map is above ∼300. By selecting CPCP data obtained with radar coverage of >300 points, we investigate the CPCP relationship with IMF B_z and B_y, IMF clock angle, solar wind speed and dynamic pressure, Alfven velocity, Alfven–Mach number, and interplanetary electric field. Some reported tendencies, such as dependence upon IMF B_z, were found to be consistent with measurements by other instruments. We demonstrate that SuperDARN CPCPs show consistency with several theories/empirical models (predicting the CPCP) in terms of a linear trend but, on average, the slopes of the dependencies are at least two times smaller. We also determine the coupling function, out of those published in literature, best correlating with SuperDARN CPCPs.     

MHD Spectroscopy of Transonic Flows

In previous publications (Keppens et al.: 2002, Astrophys. J. 569, L121; Goedbloed et al.: 2004a, Phys. Plasmas 11, 28), we have demonstrated that stationary rotation of magnetized plasma about a compact central object permits an enormous number of different MHD instabilities, with the well-known magneto-rotational instability (Velikhov, E. P.: 1959, Soviet Phys.–JETP Lett. 36, 995; Chandrasekhar, S.: 1960, Proc. Natl. Acad. Sci. U.S.A. 46, 253; Balbus, S. A. and Hawley, J. F.: 1991, Astrophys. J. 376, 214) as just one of them. We here concentrate on the new instabilities found that are driven by transonic transitions of the poloidal flow. A particularly promising class of instabilities, from the point of view of MHD turbulence in accretion disks, is the class of trans-slow Alfv’en continuum modes, that occur when the poloidal flow exceeds a critical value of the slow magnetosonic speed. When this happens, virtually every magnetic/flow surface of the disk becomes unstable with respect to highly localized modes of the continuous spectrum. The mode structures rotate, in turn, about the rotating disk. These structures lock and become explosively unstable when the mass of the central object is increased beyond a certain critical value. Their growth rates then become huge, of the order of the Alfv’en transit time. These instabilities appear to have all requisite properties to facilitate accretion flows across magnetic surfaces and jet formation.     

n维简并理想费米气体的化学势和热容量

本文对能谱为ε＝ａｐ＾ｓ的ｎ维并理想费米气体作了统一讨论，给出了它的一级近似遇米能，有限浊度下的化学势、内能以及热容量的表达式。     

环形磁铁空间磁场的解析计算与仿真

从永磁体的磁荷模型出发,运用标量磁位法、广义二项式定理、矢量叠加原理等建立了环形磁铁在磁体外部空间磁场分布的解析表达式,并在MATLAB仿真软件中进行了计算。利用三维数字式特斯拉计实际测量了两种规格的永磁体的磁场分布,利用Ansoft Maxwell电磁场分析软件建立了两种永磁体在磁体外部空间的磁场分布,通过对比解析计算结果、实际测量结果和Ansoft Maxwell仿真结果发现解析表达式很好地反映了永磁环空间磁场的分布规律,误差不超过7％,从而验证了解析表达式的正确性。     

跨声速非匀熵全速位方程的有限元数值解(英文)

本文改进了传统全速位方程的有限元数值解,既保留了全速位方程简单的优点又考虑了出现激波后流场不是匀熵的特点,对密度和后缘库塔条件进行修正,改善了计算结果。文中给出翼型和机翼的算例,其结果与传统全速位方程的结果相比,激波的位置偏往上游,强度较弱,这个趋势使结果较接近于欧拉方程的解。     

一种热电势的简易表达法

当具有不同温度分布的多种导体连接在一个环路中时,按照帕尔贴电势和汤姆逊电势分析环路中的总的热电势是困难的。选择一些导体作为标准电极,就能把总的热电势分成一系列单一导体的独立热电势,用这个方法,分析工作将变得十分简单。     

高斯激光束照射圆柱体一端面上引起温升和热应力的分析

激光加热应用很广，热应力是一常见现象。本文讨论的内容是来自辐射加固技术和激光武器效应中遇到的一个问题，因此，对其剖析具有很大的实用价值和理论意义。     

High-order implicit discontinuous Galerkin schemes for unsteady compressible Navier–Stokes equations

Efficient solution techniques for high-order temporal and spatial discontinuous Galerkin(DG) discretizations of the unsteady Navier–Stokes equations are developed. A fourth-order implicit Runge–Kutta(IRK) scheme is applied for the time integration and a multigrid preconditioned GMRES solver is extended to solve the nonlinear system arising from each IRK stage. Several modifications to the implicit solver have been considered to achieve the efficiency enhancement and meantime to reduce the memory requirement. A variety of time-accurate viscous flow simulations are performed to assess the resulting high-order implicit DG methods. The designed order of accuracy for temporal discretization scheme is validate and the present implicit solver shows the superior performance by allowing quite large time step to be used in solving time-implicit systems. Numerical results are in good agreement with the published data and demonstrate the potential advantages of the high-order scheme in gaining both the high accuracy and the high efficiency.     

考虑避免碰撞的编队卫星自适应协同控制

基于势函数法研究具有模型不确定性的编队飞行卫星避免碰撞的自适应协同控制.势函数法的思想为设计碰撞区域势函数值较大,所设计的控制律使得系统势函数具有减小的趋势,从而实现避免碰撞的编队飞行任务.首先,在无外部参考轨迹的情况下,通过引入避免碰撞势函数,提出一种自适应协同控制器,编队卫星最终实现速度一致和避免碰撞.进一步,考虑已知外部参考轨迹的情形,基于新的势函数方法,设计新的自适应协同控制器,能够同时实现避免碰撞、速度一致、卫星跟踪参考轨迹的目的.对于所提出的两种控制方法,均通过合理地应用Lyapunov稳定性理论分析了闭环系统的稳定性.仿真结果表明了所设计控制方法的有效性.     

非均匀来流下三维激波反问题的微元密切轴对称解法

传统的密切轴对称理论被广泛应用于均匀来流下的三维密切曲面激波反设计，为解决非均匀来流条件下的三维曲面激波反问题，提出了一种微元密切轴对称流场（MOA）求解方法。该方法沿激波面的周向和流向构建一系列微元密切面，在每个微元面内进行三维向二维流动的等效转换，从而突破了传统密切方法中不能有横向波后流动的限制。利用该方法编写设计程序，分别基于带攻角来流条件和外锥型流来流条件重构了标准内锥曲面激波，并与数值仿真结果进行了比较。结果表明，非均匀来流下激波曲面的三维形状均与预设形状完全一致，实现了非均匀来流下曲面激波形状可控。MOA方法在吸气式高超声速推进领域中前体/进气道一体化设计方面有重要应用前景。